sequence_id stringlengths 7 7 | sequence_name stringlengths 4 573 | sequence listlengths 1 348 | keywords listlengths 1 7 | score int64 1 2.47k | offset_a int64 -14,827 666,262,453B | offset_b int64 0 635M ⌀ | cross_references listlengths 1 128 ⌀ | former_ids listlengths 1 3 ⌀ | author stringlengths 7 231 ⌀ | timestamp timestamp[us]date 1999-12-11 03:00:00 2026-01-19 02:46:49 | filename stringlengths 29 29 | hash stringlengths 32 32 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A392286 | a(n) = Sum_{k=1..n} binomial(n+1, k+1)*A000272(k). | [
"0",
"1",
"4",
"13",
"51",
"301",
"2668",
"31865",
"473077",
"8347321",
"170297766",
"3940771165",
"101950138447",
"2915344627469",
"91302800186536",
"3107800435564081",
"114235243085526249",
"4509551519090855857",
"190275672302226201034",
"8545566392958010663541",
"407015614... | [
"nonn",
"easy",
"new"
] | 13 | 0 | 3 | [
"A000169",
"A000217",
"A000272",
"A073229",
"A088957",
"A270593",
"A392286"
] | null | Mélika Tebni, Jan 06 2026 | 2026-01-14T17:00:08 | oeisdata/seq/A392/A392286.seq | 39c7709530ed3b80698a0414d37dc549 |
A392289 | Decimal expansion of sqrt((3 - sqrt(7))/2). | [
"4",
"2",
"0",
"8",
"6",
"1",
"4",
"3",
"1",
"4",
"3",
"2",
"8",
"4",
"6",
"6",
"7",
"6",
"7",
"5",
"0",
"7",
"5",
"6",
"8",
"0",
"3",
"8",
"5",
"4",
"2",
"7",
"8",
"1",
"5",
"1",
"3",
"7",
"0",
"7",
"0",
"3",
"8",
"3",
"8",
"... | [
"nonn",
"cons",
"easy",
"new"
] | 7 | 0 | 1 | [
"A010465",
"A392289",
"A392290"
] | null | Stefano Spezia, Jan 06 2026 | 2026-01-06T19:27:17 | oeisdata/seq/A392/A392289.seq | 5a784774de9beed39bdbc576a4a17c45 |
A392290 | Decimal expansion of 1/sqrt(7) - 2/7. | [
"0",
"9",
"2",
"2",
"5",
"0",
"1",
"8",
"7",
"2",
"9",
"4",
"9",
"4",
"1",
"5",
"1",
"2",
"9",
"2",
"8",
"8",
"0",
"2",
"2",
"5",
"0",
"5",
"1",
"9",
"8",
"9",
"4",
"3",
"4",
"6",
"5",
"3",
"0",
"0",
"3",
"7",
"0",
"2",
"6",
"... | [
"nonn",
"cons",
"easy",
"new"
] | 11 | 0 | 2 | [
"A010465",
"A020764",
"A020806",
"A392289",
"A392290"
] | null | Stefano Spezia, Jan 06 2026 | 2026-01-07T04:21:07 | oeisdata/seq/A392/A392290.seq | d1ce12b5d423a86199d50d7b4b1c84a3 |
A392291 | List of all possible composition numbers of graphs. | [
"1",
"2",
"4",
"5",
"8",
"10",
"12",
"13",
"15",
"16",
"20",
"24",
"25",
"26",
"27",
"30",
"31",
"32",
"34",
"35",
"38",
"40",
"43",
"47",
"48",
"50",
"52",
"54",
"58",
"60",
"62",
"64",
"65",
"68",
"69",
"70",
"74",
"75",
"76",
"79",
"... | [
"nonn",
"new"
] | 11 | 1 | 2 | [
"A000079",
"A000110",
"A000325",
"A058975",
"A078468",
"A110476",
"A265417",
"A282010",
"A344638",
"A346273",
"A367172",
"A367173",
"A367174",
"A367703",
"A389996",
"A389997",
"A389998",
"A392291",
"A392292",
"A392293"
] | null | Pontus von Brömssen, Jan 08 2026 | 2026-01-16T09:18:25 | oeisdata/seq/A392/A392291.seq | 35ab7eda1daeda02b92bd1f1a8a925eb |
A392292 | Composition numbers of biconnected graphs. | [
"2",
"5",
"12",
"13",
"15",
"27",
"31",
"34",
"35",
"38",
"40",
"43",
"47",
"52",
"58",
"69",
"74",
"79",
"80",
"81",
"83",
"87",
"89",
"92",
"94",
"95",
"96",
"97",
"98",
"99",
"101",
"102",
"105",
"107",
"108",
"110",
"111",
"114",
"116",... | [
"nonn",
"new"
] | 6 | 1 | 1 | [
"A392291",
"A392292",
"A392293"
] | null | Pontus von Brömssen, Jan 08 2026 | 2026-01-16T09:19:30 | oeisdata/seq/A392/A392292.seq | e45a8608a58a6ef26bcd44e902ca69b7 |
A392293 | Primitive terms of A392291. | [
"2",
"5",
"12",
"13",
"15",
"27",
"31",
"34",
"35",
"38",
"43",
"47",
"58",
"69",
"74",
"79",
"81",
"83",
"87",
"89",
"92",
"95",
"97",
"98",
"99",
"101",
"102",
"105",
"107",
"110",
"111",
"114",
"118",
"119",
"121",
"126",
"141",
"142",
"... | [
"nonn",
"new"
] | 6 | 1 | 1 | [
"A392291",
"A392292",
"A392293"
] | null | Pontus von Brömssen, Jan 08 2026 | 2026-01-16T09:19:14 | oeisdata/seq/A392/A392293.seq | f37567084381d5e195946ff4cbc5ed86 |
A392294 | Primes p such that Pi_{3,1}(p) = Pi_{3,2}(p), where Pi_{m,n}(p) denotes the number of primes q <= p with q == n (mod m). | [
"608981813017",
"608981813123",
"608981813303",
"608981813501",
"608981813569",
"608981813677",
"608981813807",
"608981813833",
"608981813851",
"608981814043",
"608981814131",
"608981818987",
"608981819339",
"608981819393",
"608981820911",
"608981820917",
"608981826853",
"608981826... | [
"nonn",
"new"
] | 14 | 1 | 1 | [
"A096449",
"A096452",
"A096453",
"A098044",
"A297006",
"A306891",
"A321856",
"A392294"
] | null | Jianing Song, Jan 06 2026 | 2026-01-09T10:29:59 | oeisdata/seq/A392/A392294.seq | 54becc53aad9ccf3d72d2b78d3f9ba1a |
A392295 | Primes p such that Pi_{5,2}(p) + Pi_{5,3}(p) - Pi_{5,1}(p) - Pi_{5,4}(p) = -1, where Pi_{m,n}(p) denotes the number of primes q <= p with q == n (mod m). | [
"2082927221",
"2082927367",
"2082927443",
"2082927481",
"2082928013",
"2082928117",
"2082928229",
"2082940207",
"2082940229",
"2082940243",
"2082940663",
"2082940669",
"2082940723",
"2082940777",
"2082940799",
"2082940829",
"2082940879",
"2082940913",
"2082940943",
"2082940991"... | [
"nonn",
"new"
] | 12 | 1 | 1 | [
"A321857",
"A392295",
"A392296",
"A392297",
"A392298",
"A392299"
] | null | Jianing Song, Jan 08 2026 | 2026-01-08T21:51:07 | oeisdata/seq/A392/A392295.seq | e9de27c3f198cdb5186d174096f23407 |
A392296 | Primes p such that Pi_{5,2}(p) + Pi_{5,3}(p) - Pi_{5,1}(p) - Pi_{5,4}(p) = 0, where Pi_{m,n}(p) denotes the number of primes q <= p with q == n (mod m). | [
"2082927199",
"2082927467",
"2082928123",
"2082928189",
"2082928201",
"2082940213",
"2082940667",
"2082940787",
"2082940813",
"2082940837",
"2082940967",
"2082941033",
"2082941093",
"2082941143",
"2082941221",
"2082941309",
"2082941521",
"2082941579",
"2082943987",
"2082944183"... | [
"nonn",
"new"
] | 10 | 1 | 1 | [
"A321857",
"A392295",
"A392296",
"A392297",
"A392298",
"A392299"
] | null | Jianing Song, Jan 08 2026 | 2026-01-08T21:51:11 | oeisdata/seq/A392/A392296.seq | 1591ecf21d1e5b9b62b30327e2534527 |
A392297 | Primes p such that Pi_{5,2}(p) + Pi_{5,3}(p) - Pi_{5,1}(p) - Pi_{5,4}(p) = 1, where Pi_{m,n}(p) denotes the number of primes q <= p with q == n (mod m). | [
"2",
"2082927019",
"2082927191",
"2082928163",
"2082928193",
"2082941183",
"2082941209",
"2082941297",
"2082941323",
"2082941389",
"2082941489",
"2082941533",
"2082941569",
"2082944527",
"2082944557",
"2082944593",
"2082944603",
"2082944623",
"2082944713",
"2082944723",
"2082... | [
"nonn",
"new"
] | 10 | 1 | 1 | [
"A321857",
"A392295",
"A392296",
"A392297",
"A392298",
"A392299"
] | null | Jianing Song, Jan 08 2026 | 2026-01-08T21:51:15 | oeisdata/seq/A392/A392297.seq | 25ba9fabf4dcd26fd31d74ec595b06c4 |
A392298 | Primes p such that Pi_{5,2}(p) + Pi_{5,3}(p) - Pi_{5,1}(p) - Pi_{5,4}(p) = 2, where Pi_{m,n}(p) denotes the number of primes q <= p with q == n (mod m). | [
"3",
"5",
"11",
"31",
"41",
"3581",
"2082925739",
"2082925781",
"2082925849",
"2082926221",
"2082926249",
"2082926981",
"2082927043",
"2082927101",
"2082927179",
"2082941207",
"2082941363",
"2082941423",
"2082941461",
"2082941537",
"2082944767",
"2082945079",
"2082945217"... | [
"nonn",
"new"
] | 10 | 1 | 1 | [
"A321857",
"A392295",
"A392296",
"A392297",
"A392298",
"A392299"
] | null | Jianing Song, Jan 08 2026 | 2026-01-08T21:51:03 | oeisdata/seq/A392/A392298.seq | d833a14849759930f4b9e6f61ecbf44d |
A392299 | Primes p such that Pi_{5,2}(p) + Pi_{5,3}(p) - Pi_{5,1}(p) - Pi_{5,4}(p) = 3, where Pi_{m,n}(p) denotes the number of primes q <= p with q == n (mod m). | [
"7",
"13",
"19",
"29",
"37",
"43",
"61",
"71",
"79",
"89",
"101",
"151",
"251",
"271",
"281",
"521",
"541",
"3391",
"3511",
"3541",
"3571",
"3583",
"2082925729",
"2082925763",
"2082925813",
"2082925877",
"2082926201",
"2082926227",
"2082926267",
"2082926971"... | [
"nonn",
"new"
] | 11 | 1 | 1 | [
"A321857",
"A392295",
"A392296",
"A392297",
"A392298",
"A392299"
] | null | Jianing Song, Jan 06 2026 | 2026-01-08T21:50:59 | oeisdata/seq/A392/A392299.seq | ee0dc0c45bdf96891843915f9897e2a1 |
A392301 | Decimal expansion of 360/(1 + phi^2), where phi = A001622. | [
"9",
"9",
"5",
"0",
"1",
"5",
"5",
"2",
"8",
"1",
"0",
"0",
"0",
"7",
"5",
"7",
"0",
"9",
"2",
"9",
"2",
"6",
"9",
"7",
"4",
"7",
"9",
"2",
"5",
"6",
"7",
"4",
"0",
"5",
"5",
"5",
"2",
"4",
"1",
"3",
"7",
"7",
"3",
"9",
"0",
"... | [
"nonn",
"cons",
"easy",
"new"
] | 13 | 2 | 1 | [
"A001622",
"A096627",
"A104457",
"A131988",
"A296184",
"A392301",
"A392302"
] | null | Stefano Spezia, Jan 06 2026 | 2026-01-06T19:23:49 | oeisdata/seq/A392/A392301.seq | ffc08e64f1ddc33f35602fd060aae97a |
A392302 | Decimal expansion of 2*Pi/(1 + phi^2), where phi = A001622. | [
"1",
"7",
"3",
"6",
"6",
"2",
"9",
"7",
"0",
"7",
"3",
"8",
"1",
"6",
"4",
"7",
"9",
"5",
"9",
"8",
"3",
"1",
"3",
"6",
"8",
"4",
"5",
"4",
"6",
"3",
"8",
"5",
"2",
"3",
"9",
"2",
"4",
"3",
"0",
"3",
"8",
"6",
"7",
"5",
"6",
"... | [
"nonn",
"cons",
"easy",
"new"
] | 8 | 1 | 2 | [
"A001622",
"A019692",
"A096627",
"A104457",
"A131988",
"A296184",
"A392301",
"A392302"
] | null | Stefano Spezia, Jan 06 2026 | 2026-01-06T19:23:10 | oeisdata/seq/A392/A392302.seq | 1e23ec9fca1a6c02098b102ccee47b90 |
A392304 | Squares whose sum of prime factors (with multiplicity) is also a perfect square. | [
"1",
"4",
"225",
"256",
"324",
"4225",
"5929",
"6084",
"7569",
"12100",
"17424",
"19881",
"38416",
"61009",
"78400",
"90601",
"99225",
"103684",
"112225",
"112896",
"140625",
"142884",
"160000",
"161604",
"174724",
"184900",
"195364",
"202500",
"211600",
"23... | [
"nonn",
"easy",
"new"
] | 25 | 1 | 2 | [
"A000290",
"A001414",
"A051448",
"A392304"
] | null | Yunus Emre Yaman, Jan 06 2026 | 2026-01-11T22:50:59 | oeisdata/seq/A392/A392304.seq | 3be432fd6595fd85c0bd09eea6c1169b |
A392306 | Irregular triangle, read by rows, where row n lists composite numbers c such that c * sigma_n(c) == 2 (mod phi(c)) for n >= 0. Row lengths for n=0,1,... are given in A392307. | [
"4",
"6",
"14",
"4",
"6",
"22",
"4",
"6",
"14",
"38",
"4",
"6",
"4",
"6",
"14",
"46",
"134",
"4",
"6",
"22",
"262",
"4",
"6",
"14",
"4",
"6",
"4",
"6",
"14",
"38",
"4",
"6",
"22",
"166",
"4",
"6",
"14",
"2734",
"8198",
"4",
"6",
"4",
... | [
"nonn",
"tabf",
"new"
] | 44 | 0 | 1 | [
"A002270",
"A051948",
"A389878",
"A392306",
"A392307"
] | null | Scott Duke Kominers, Jan 07 2026 | 2026-01-16T19:57:02 | oeisdata/seq/A392/A392306.seq | 307e187f10315d2f5d7de1fd1fe45d11 |
A392307 | Number of composite numbers c such that c * sigma_n(c) == 2 (mod phi(c)). | [
"3",
"3",
"4",
"2",
"5",
"4",
"3",
"2",
"4",
"4",
"5",
"2",
"3",
"6",
"10",
"2",
"5",
"5",
"3",
"2",
"4",
"3",
"4",
"3",
"8",
"5",
"7",
"2",
"4",
"9",
"3",
"3",
"6",
"5",
"9",
"4",
"4",
"3",
"4",
"2",
"6",
"14",
"3",
"2",
"13",
... | [
"nonn",
"more",
"new"
] | 15 | 0 | 1 | [
"A392306",
"A392307"
] | null | Scott Duke Kominers, Jan 07 2026 | 2026-01-16T20:00:40 | oeisdata/seq/A392/A392307.seq | ddbc45a4b063f3f415168c8aaa2442ce |
A392311 | a(n) = Sum_{k=0..floor(3*n/5)} (k+1) * binomial(k,3*n-5*k). | [
"1",
"0",
"2",
"0",
"3",
"4",
"4",
"20",
"5",
"60",
"13",
"140",
"63",
"280",
"260",
"514",
"849",
"950",
"2320",
"1980",
"5568",
"4840",
"12206",
"12870",
"25402",
"34050",
"52339",
"85812",
"111035",
"204208",
"247555",
"462604",
"575881",
"1013540... | [
"nonn",
"easy",
"new"
] | 19 | 0 | 3 | [
"A392044",
"A392254",
"A392271",
"A392311",
"A392312",
"A392314"
] | null | Seiichi Manyama, Jan 06 2026 | 2026-01-08T13:21:24 | oeisdata/seq/A392/A392311.seq | 75779d5d249d9b05d1d4cfe4bb4185c3 |
A392312 | a(n) = Sum_{k=0..floor(3*n/8)} (k+1) * binomial(k,3*n-8*k). | [
"1",
"0",
"0",
"2",
"0",
"0",
"3",
"0",
"4",
"4",
"0",
"20",
"5",
"0",
"60",
"6",
"7",
"140",
"7",
"56",
"280",
"8",
"252",
"504",
"19",
"840",
"840",
"120",
"2310",
"1320",
"671",
"5544",
"1993",
"2872",
"12012",
"3042",
"10023",
"24024",
... | [
"nonn",
"easy",
"new"
] | 19 | 0 | 4 | [
"A392044",
"A392254",
"A392311",
"A392312"
] | null | Seiichi Manyama, Jan 06 2026 | 2026-01-08T13:21:19 | oeisdata/seq/A392/A392312.seq | dbbfba546181707b62b48d5bf5e84d0f |
A392313 | a(n) = Sum_{k=0..n} binomial(k+2,2) * binomial(k,3*n-3*k). | [
"1",
"3",
"6",
"10",
"25",
"81",
"238",
"596",
"1333",
"2827",
"5946",
"12618",
"26876",
"56821",
"118524",
"244016",
"497559",
"1008136",
"2033294",
"4083746",
"8166487",
"16259709",
"32240122",
"63689412",
"125402323",
"246179875",
"481955356",
"941114140",
... | [
"nonn",
"easy",
"new"
] | 20 | 0 | 2 | [
"A003522",
"A178618",
"A392044",
"A392255",
"A392313",
"A392314",
"A392316"
] | null | Seiichi Manyama, Jan 06 2026 | 2026-01-08T13:21:28 | oeisdata/seq/A392/A392313.seq | 65d1ef209be063fdfcff9cc8757000d4 |
A392314 | a(n) = Sum_{k=0..floor(3*n/5)} binomial(k+2,2) * binomial(k,3*n-5*k). | [
"1",
"0",
"3",
"0",
"6",
"10",
"10",
"60",
"15",
"210",
"49",
"560",
"280",
"1260",
"1296",
"2575",
"4665",
"5280",
"13915",
"12210",
"36193",
"32890",
"85527",
"95095",
"191191",
"270406",
"422345",
"726808",
"959260",
"1835456",
"2283698",
"4397730",
... | [
"nonn",
"easy",
"new"
] | 20 | 0 | 3 | [
"A392255",
"A392271",
"A392311",
"A392313",
"A392314",
"A392316"
] | null | Seiichi Manyama, Jan 06 2026 | 2026-01-17T13:19:18 | oeisdata/seq/A392/A392314.seq | 2d656e2bb49e2fb0e4162f36a8572deb |
A392316 | a(n) = Sum_{k=0..floor(3*n/8)} binomial(k+2,2) * binomial(k,3*n-8*k). | [
"1",
"0",
"0",
"3",
"0",
"0",
"6",
"0",
"10",
"10",
"0",
"60",
"15",
"0",
"210",
"21",
"28",
"560",
"28",
"252",
"1260",
"36",
"1260",
"2520",
"100",
"4620",
"4620",
"715",
"13860",
"7920",
"4356",
"36036",
"12961",
"20098",
"84084",
"21385",
"... | [
"nonn",
"easy",
"new"
] | 19 | 0 | 4 | [
"A392255",
"A392313",
"A392314",
"A392316"
] | null | Seiichi Manyama, Jan 06 2026 | 2026-01-17T13:19:13 | oeisdata/seq/A392/A392316.seq | a55da435dd3504e25c23ad4b0ee94073 |
A392318 | Decimal expansion of 37/72. | [
"5",
"1",
"3",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"... | [
"nonn",
"cons",
"easy",
"new"
] | 10 | 0 | 1 | [
"A021220",
"A392318"
] | null | Gonzalo Martínez, Jan 06 2026 | 2026-01-12T22:28:46 | oeisdata/seq/A392/A392318.seq | 0649c6922a517ae440c84dbc016161d2 |
A392319 | Palindromes of the form b^k + 1 or b^k - 1, with b, k > 1. | [
"3",
"5",
"7",
"8",
"9",
"33",
"99",
"101",
"242",
"323",
"575",
"626",
"999",
"1001",
"4224",
"5775",
"7777",
"9999",
"10001",
"29792",
"36863",
"42024",
"99999",
"100001",
"999999",
"1000001",
"1040401",
"2217122",
"3055503",
"3640463",
"5053505",
"559... | [
"nonn",
"base",
"new"
] | 12 | 1 | 1 | [
"A001597",
"A002113",
"A075786",
"A080262",
"A392319"
] | null | Gonzalo Martínez, Jan 06 2026 | 2026-01-13T03:55:40 | oeisdata/seq/A392/A392319.seq | 7ab7b0ce012f2750a6f8908eaeb80603 |
A392327 | a(n) is the permanent of the n X n Vandermonde matrix V(1, 2, ..., 2^(n-1)). | [
"1",
"1",
"3",
"74",
"57520",
"5715121152",
"290926674054217728",
"30331445286738545931731337216",
"25904853026407953115354688034913160188133376",
"724967095812010298907155533605590082515534703196302451994001408",
"265929093807066505879666826481917092318428411108726542328624795378257671293618840... | [
"nonn",
"new"
] | 7 | 0 | 3 | [
"A000079",
"A171499",
"A203303",
"A392327"
] | null | Stefano Spezia, Jan 07 2026 | 2026-01-10T09:01:12 | oeisdata/seq/A392/A392327.seq | b683aa736cce2b6f51a80dcd5a45cd5f |
A392328 | a(n) = Fibonacci(n^2+1). | [
"1",
"1",
"5",
"55",
"1597",
"121393",
"24157817",
"12586269025",
"17167680177565",
"61305790721611591",
"573147844013817084101",
"14028366653498915298923761",
"898923707008479989274290850145",
"150804340016807970735635273952047185",
"66233869353085486281758142155705206899077"
] | [
"nonn",
"easy",
"new"
] | 16 | 0 | 3 | [
"A054783",
"A135966",
"A392328"
] | null | Seiichi Manyama, Jan 07 2026 | 2026-01-08T14:55:56 | oeisdata/seq/A392/A392328.seq | ee54eefd80281e7ec1a662f4b5381ff8 |
A392329 | a(n) is the number of iterations x->gpf(6*x+1) starting at n until the value 13 or 47 is reached; a(n) = -1 if neither of these two values is reached. | [
"8",
"1",
"18",
"7",
"6",
"6",
"7",
"8",
"8",
"12",
"7",
"8",
"0",
"5",
"1",
"11",
"4",
"14",
"17",
"8",
"15",
"18",
"16",
"9",
"6",
"20",
"6",
"1",
"8",
"14",
"5",
"13",
"21",
"19",
"15",
"6",
"5",
"9",
"1",
"18",
"18",
"17",
"6",
... | [
"nonn",
"new"
] | 17 | 1 | 1 | [
"A006530",
"A392240",
"A392329"
] | null | Alain Rocchelli, Jan 07 2026 | 2026-01-15T07:45:06 | oeisdata/seq/A392/A392329.seq | d90cd417b6769447d5064c10fdcb9f10 |
A392334 | a(2*n) = 2*n+1, a(2*n+1) = (2*n+1)^2. | [
"1",
"1",
"3",
"9",
"5",
"25",
"7",
"49",
"9",
"81",
"11",
"121",
"13",
"169",
"15",
"225",
"17",
"289",
"19",
"361",
"21",
"441",
"23",
"529",
"25",
"625",
"27",
"729",
"29",
"841",
"31",
"961",
"33",
"1089",
"35",
"1225",
"37",
"1369",
"3... | [
"nonn",
"easy",
"new"
] | 28 | 0 | 3 | [
"A000034",
"A005408",
"A016754",
"A109613",
"A228958",
"A392334"
] | null | Paul Barry, Jan 07 2026 | 2026-01-07T18:01:45 | oeisdata/seq/A392/A392334.seq | 5d48ac45f09c95cb1a13402e9d52c56f |
A392337 | Triangle read by rows: T(n,k) = Sum_{j=0..2k} (-1)^j * binomial(2k,j) * (1+k-j)^(2n). | [
"1",
"1",
"2",
"1",
"14",
"24",
"1",
"62",
"480",
"720",
"1",
"254",
"5544",
"30240",
"40320",
"1",
"1022",
"54960",
"710640",
"3024000",
"3628800",
"1",
"4094",
"515064",
"13654080",
"125072640",
"439084800",
"479001600",
"1",
"16382",
"4717440",
"23999... | [
"nonn",
"tabl",
"easy",
"new"
] | 6 | 0 | 3 | [
"A008957",
"A269945",
"A392337"
] | null | Kolosov Petro, Jan 07 2026 | 2026-01-12T17:30:09 | oeisdata/seq/A392/A392337.seq | 388463c72c603721c6abd855bf945c52 |
A392338 | a(n) is the minimum absolute value of determinant of a nonsingular n X n circulant matrix whose rows are permutations of [0, 1, 2, ..., n-1]. | [
"1",
"9",
"48",
"50",
"2205",
"147",
"1120",
"324",
"5175",
"605",
"6336"
] | [
"nonn",
"hard",
"more",
"new"
] | 10 | 2 | 2 | [
"A084367",
"A309257",
"A348891",
"A392190",
"A392191",
"A392192",
"A392193",
"A392338"
] | null | Stefano Spezia, Jan 07 2026 | 2026-01-10T08:57:59 | oeisdata/seq/A392/A392338.seq | 51c9ace896c814ce5dc315ac7f230c3d |
A392339 | Number of decimal digit 1's in A006937(n). | [
"1",
"2",
"7",
"14",
"44",
"158",
"535",
"1821",
"6092",
"20000",
"66378",
"220957",
"733556",
"2436430",
"8095687",
"26892148",
"89338832",
"296769545",
"985760656",
"3274702309",
"10878267642",
"36136741115"
] | [
"nonn",
"base",
"hard",
"more",
"new"
] | 33 | 1 | 2 | [
"A000120",
"A006937",
"A008559",
"A242347",
"A392339"
] | null | Lucas Griego, Jan 07 2026 | 2026-01-12T21:30:27 | oeisdata/seq/A392/A392339.seq | 1e02b801848346757b4a2204328db252 |
A392342 | Numbers that are not the sum of at most four cubefull numbers. | [
"5",
"6",
"7",
"12",
"13",
"14",
"15",
"20",
"21",
"22",
"23",
"31",
"38",
"39",
"46",
"47",
"53",
"58",
"69",
"77",
"79",
"85",
"95",
"101",
"103",
"111",
"175",
"196",
"212",
"228",
"231",
"247",
"327",
"444",
"458",
"490",
"606",
"662",
... | [
"nonn",
"more",
"new"
] | 13 | 1 | 1 | [
"A036966",
"A056828",
"A392342",
"A392343"
] | null | Elijah Beregovsky, Jan 07 2026 | 2026-01-13T15:24:50 | oeisdata/seq/A392/A392342.seq | 2c85f6e34e4f64ed424f83c448411844 |
A392343 | Numbers that are not the sum of at most five 4-full numbers. | [
"6",
"7",
"8",
"9",
"10",
"11",
"12",
"13",
"14",
"15",
"21",
"22",
"23",
"24",
"25",
"26",
"27",
"28",
"29",
"30",
"31",
"37",
"38",
"39",
"40",
"41",
"42",
"43",
"44",
"45",
"46",
"47",
"52",
"53",
"54",
"55",
"56",
"57",
"58",
"59",
... | [
"nonn",
"new"
] | 7 | 1 | 1 | [
"A036967",
"A056828",
"A392342",
"A392343"
] | null | Elijah Beregovsky, Jan 07 2026 | 2026-01-12T13:52:00 | oeisdata/seq/A392/A392343.seq | 7643c015a33bfee7a0964e698d115857 |
A392346 | The smallest k >= 0 that can be represented as a linear combination of 1, 2, ..., n with coefficients +-1 and that cannot be represented using 1, 2, ..., m with 1<=m<n. | [
"1",
"3",
"0",
"8",
"5",
"17",
"12",
"30",
"23",
"47",
"38",
"68",
"57",
"93",
"80",
"122",
"107",
"155",
"138",
"192",
"173",
"233",
"212",
"278",
"255",
"327",
"302",
"380",
"353",
"437",
"408",
"498",
"467",
"563",
"530",
"632",
"597",
"70... | [
"nonn",
"easy",
"new"
] | 23 | 1 | 2 | [
"A000027",
"A000217",
"A019568",
"A140358",
"A165998",
"A392126",
"A392127",
"A392346"
] | null | Alois P. Heinz, Jan 07 2026 | 2026-01-09T14:36:04 | oeisdata/seq/A392/A392346.seq | f6c72d5c2bf6dd87b4a744ea9591f4d0 |
A392347 | Numbers k such that A000005(k) = A000005(k/d + d) for some d. | [
"2",
"4",
"8",
"14",
"15",
"20",
"21",
"26",
"32",
"33",
"34",
"38",
"44",
"45",
"52",
"56",
"57",
"62",
"69",
"74",
"75",
"85",
"86",
"93",
"94",
"98",
"99",
"104",
"106",
"116",
"118",
"122",
"128",
"129",
"133",
"134",
"135",
"136",
"140... | [
"nonn",
"new"
] | 17 | 1 | 1 | [
"A000005",
"A005237",
"A161904",
"A391496",
"A392347"
] | null | Juri-Stepan Gerasimov, Jan 07 2026 | 2026-01-15T19:47:03 | oeisdata/seq/A392/A392347.seq | 5b167490ae69d7a32e2000dcd7c58619 |
A392348 | Primes p such that the Chebyshev distance from 1 to p in the Ulam spiral is not a prime number. | [
"2",
"3",
"5",
"7",
"53",
"59",
"61",
"67",
"71",
"73",
"79",
"127",
"131",
"137",
"139",
"149",
"151",
"157",
"163",
"167",
"227",
"229",
"233",
"239",
"241",
"251",
"257",
"263",
"269",
"271",
"277",
"281",
"283",
"293",
"307",
"311",
"313",
... | [
"nonn",
"new"
] | 10 | 1 | 1 | [
"A000040",
"A392219",
"A392348",
"A392353"
] | null | Aitzaz Imtiaz, Jan 07 2026 | 2026-01-12T22:26:43 | oeisdata/seq/A392/A392348.seq | 425b503265250218625d95b39822cd15 |
A392349 | a(n) = Sum_{k=0..floor(3*n/8)} binomial(3*n-7*k,k). | [
"1",
"1",
"1",
"3",
"6",
"9",
"18",
"36",
"64",
"119",
"228",
"423",
"786",
"1479",
"2766",
"5160",
"9661",
"18078",
"33786",
"63192",
"118212",
"221049",
"413391",
"773187",
"1445995",
"2704246",
"5057593",
"9458770",
"17689720",
"33083548",
"61873249",
... | [
"nonn",
"easy",
"new"
] | 23 | 0 | 4 | [
"A001018",
"A033887",
"A052544",
"A099234",
"A190525",
"A373638",
"A373640",
"A373718",
"A392349",
"A392350",
"A392351",
"A392352"
] | null | Seiichi Manyama, Jan 07 2026 | 2026-01-11T12:38:54 | oeisdata/seq/A392/A392349.seq | 59666d4ede1d1555d401133bd3bfd371 |
A392350 | a(n) = Sum_{k=0..floor(3*n/11)} binomial(3*n-10*k,k). | [
"1",
"1",
"1",
"1",
"3",
"6",
"9",
"12",
"21",
"39",
"66",
"103",
"167",
"285",
"484",
"796",
"1303",
"2167",
"3631",
"6040",
"9988",
"16555",
"27551",
"45838",
"76087",
"126236",
"209685",
"348502",
"578930",
"961269",
"1596364",
"2651858",
"4405203",... | [
"nonn",
"easy",
"new"
] | 20 | 0 | 5 | [
"A001018",
"A033887",
"A052544",
"A099234",
"A190525",
"A373638",
"A373640",
"A373718",
"A392349",
"A392350",
"A392351",
"A392352"
] | null | Seiichi Manyama, Jan 07 2026 | 2026-01-10T14:38:27 | oeisdata/seq/A392/A392350.seq | b2945571433312bb9ccb5e8d86240d7d |
A392351 | a(n) = Sum_{k=0..floor(3*n/14)} binomial(3*n-13*k,k). | [
"1",
"1",
"1",
"1",
"1",
"3",
"6",
"9",
"12",
"15",
"24",
"42",
"69",
"105",
"151",
"224",
"351",
"559",
"875",
"1331",
"2009",
"3071",
"4760",
"7400",
"11417",
"17486",
"26768",
"41153",
"63504",
"97979",
"150788",
"231651",
"355985",
"547828",
"8... | [
"nonn",
"easy",
"new"
] | 19 | 0 | 6 | [
"A001018",
"A033887",
"A052544",
"A099234",
"A190525",
"A373638",
"A373640",
"A373718",
"A392349",
"A392350",
"A392351",
"A392352"
] | null | Seiichi Manyama, Jan 07 2026 | 2026-01-10T14:38:13 | oeisdata/seq/A392/A392351.seq | 8a72f65859c32e575f67d9fbdf2ea16a |
A392352 | a(n) = Sum_{k=0..floor(3*n/17)} binomial(3*n-16*k,k). | [
"1",
"1",
"1",
"1",
"1",
"1",
"3",
"6",
"9",
"12",
"15",
"18",
"27",
"45",
"72",
"108",
"153",
"208",
"290",
"426",
"643",
"968",
"1428",
"2055",
"2931",
"4218",
"6159",
"9078",
"13380",
"19572",
"28410",
"41136",
"59721",
"87108",
"127456",
"186... | [
"nonn",
"easy",
"new"
] | 18 | 0 | 7 | [
"A001018",
"A033887",
"A052544",
"A099234",
"A190525",
"A373638",
"A373640",
"A373718",
"A392349",
"A392350",
"A392351",
"A392352"
] | null | Seiichi Manyama, Jan 07 2026 | 2026-01-10T14:38:09 | oeisdata/seq/A392/A392352.seq | 6d70fb78502b0be37bcf2f43f9c850f8 |
A392353 | Composite numbers k such that the Chebyshev distance from 1 to k in the Ulam spiral is a prime number. | [
"10",
"12",
"14",
"15",
"16",
"18",
"20",
"21",
"22",
"24",
"25",
"26",
"27",
"28",
"30",
"32",
"33",
"34",
"35",
"36",
"38",
"39",
"40",
"42",
"44",
"45",
"46",
"48",
"49",
"82",
"84",
"85",
"86",
"87",
"88",
"90",
"91",
"92",
"93",
"94"... | [
"nonn",
"new"
] | 7 | 1 | 1 | [
"A392219",
"A392353"
] | null | Aitzaz Imtiaz, Jan 08 2026 | 2026-01-12T20:43:05 | oeisdata/seq/A392/A392353.seq | 7a157862a686e6f275ca74321a83db73 |
A392354 | Composite numbers k such that the Chebyshev distance from 1 to k in the Ulam spiral is not a prime number. | [
"4",
"6",
"8",
"9",
"50",
"51",
"52",
"54",
"55",
"56",
"57",
"58",
"60",
"62",
"63",
"64",
"65",
"66",
"68",
"69",
"70",
"72",
"74",
"75",
"76",
"77",
"78",
"80",
"81",
"122",
"123",
"124",
"125",
"126",
"128",
"129",
"130",
"132",
"133",
... | [
"nonn",
"new"
] | 13 | 1 | 1 | [
"A000040",
"A392219",
"A392353",
"A392354"
] | null | Aitzaz Imtiaz, Jan 08 2026 | 2026-01-18T22:21:15 | oeisdata/seq/A392/A392354.seq | 8177836936637c34e3f7ff175c58a75f |
A392355 | a(n) = Sum_{k=0..floor(4*n/7)} binomial(k,4*n-7*k). | [
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"1",
"1",
"5",
"1",
"15",
"1",
"35",
"2",
"70",
"10",
"126",
"46",
"210",
"166",
"331",
"496",
"508",
"1288",
"806",
"3004",
"1456",
"6437",
"3185",
"12888",
"8008",
"24464",
"20944",
"44728",
"53449",
"80428"... | [
"nonn",
"easy",
"new"
] | 19 | 0 | 10 | [
"A373913",
"A392271",
"A392355",
"A392356"
] | null | Seiichi Manyama, Jan 08 2026 | 2026-01-08T14:56:00 | oeisdata/seq/A392/A392355.seq | 4013d8dfacf4a9f5d1ee76c294418060 |
A392356 | a(n) = Sum_{k=0..floor(5*n/9)} binomial(k,5*n-9*k). | [
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"1",
"1",
"6",
"1",
"21",
"1",
"56",
"1",
"126",
"2",
"252",
"12",
"462",
"67",
"792",
"287",
"1287",
"1002",
"2003",
"3004",
"3019",
"8009",
"4504",
"19449",
"7004",
"43759",
"12444",
"92380",
"27... | [
"nonn",
"easy",
"new"
] | 17 | 0 | 12 | [
"A392271",
"A392355",
"A392356"
] | null | Seiichi Manyama, Jan 08 2026 | 2026-01-08T14:55:52 | oeisdata/seq/A392/A392356.seq | a5340d78d65ae3ae5f6ec082d5cb18b6 |
A392359 | Denominators of the reduced fractions of the ratios of the number of primes less than n over n. | [
"1",
"2",
"3",
"2",
"5",
"2",
"7",
"2",
"9",
"5",
"11",
"12",
"13",
"7",
"5",
"8",
"17",
"18",
"19",
"5",
"21",
"11",
"23",
"8",
"25",
"26",
"3",
"28",
"29",
"3",
"31",
"32",
"3",
"34",
"35",
"36",
"37",
"19",
"13",
"10",
"41",
"42",
... | [
"nonn",
"frac",
"new"
] | 8 | 1 | 2 | [
"A000720",
"A102613",
"A102614",
"A392359"
] | null | Stefano Spezia, Jan 08 2026 | 2026-01-10T09:35:02 | oeisdata/seq/A392/A392359.seq | 958023bdbf66c766f672be68a4bab4e1 |
A392365 | The cubefree numbers squared. | [
"1",
"4",
"9",
"16",
"25",
"36",
"49",
"81",
"100",
"121",
"144",
"169",
"196",
"225",
"289",
"324",
"361",
"400",
"441",
"484",
"529",
"625",
"676",
"784",
"841",
"900",
"961",
"1089",
"1156",
"1225",
"1296",
"1369",
"1444",
"1521",
"1681",
"176... | [
"nonn",
"easy",
"new"
] | 12 | 1 | 2 | [
"A003593",
"A004709",
"A062503",
"A113849",
"A157292",
"A189988",
"A336591",
"A374291",
"A374458",
"A392365"
] | null | Amiram Eldar, Jan 09 2026 | 2026-01-12T13:25:50 | oeisdata/seq/A392/A392365.seq | 9a7175c803ae08f98cf50a0c15feebb2 |
A392366 | The odd squarefree numbers squared. | [
"1",
"9",
"25",
"49",
"121",
"169",
"225",
"289",
"361",
"441",
"529",
"841",
"961",
"1089",
"1225",
"1369",
"1521",
"1681",
"1849",
"2209",
"2601",
"2809",
"3025",
"3249",
"3481",
"3721",
"4225",
"4489",
"4761",
"5041",
"5329",
"5929",
"6241",
"6889... | [
"nonn",
"easy",
"new"
] | 14 | 1 | 2 | [
"A000290",
"A004709",
"A005408",
"A016754",
"A056911",
"A062503",
"A082020",
"A377363",
"A381822",
"A392366"
] | null | Amiram Eldar, Jan 09 2026 | 2026-01-12T13:25:45 | oeisdata/seq/A392/A392366.seq | 602f133d3d556b3563d473d94a9753a4 |
A392367 | Numbers whose greatest prime factor is a Fermat prime. | [
"3",
"5",
"6",
"9",
"10",
"12",
"15",
"17",
"18",
"20",
"24",
"25",
"27",
"30",
"34",
"36",
"40",
"45",
"48",
"50",
"51",
"54",
"60",
"68",
"72",
"75",
"80",
"81",
"85",
"90",
"96",
"100",
"102",
"108",
"119",
"120",
"125",
"135",
"136",
... | [
"nonn",
"easy",
"new"
] | 9 | 1 | 1 | [
"A006530",
"A019434",
"A143512",
"A143513",
"A392367",
"A392368"
] | null | Amiram Eldar, Jan 09 2026 | 2026-01-09T10:02:47 | oeisdata/seq/A392/A392367.seq | 78e8c210e4b33f20e65ffe9b99085502 |
A392368 | Numbers whose least prime factor is a Fermat prime. | [
"3",
"5",
"9",
"15",
"17",
"21",
"25",
"27",
"33",
"35",
"39",
"45",
"51",
"55",
"57",
"63",
"65",
"69",
"75",
"81",
"85",
"87",
"93",
"95",
"99",
"105",
"111",
"115",
"117",
"123",
"125",
"129",
"135",
"141",
"145",
"147",
"153",
"155",
"1... | [
"nonn",
"easy",
"new"
] | 8 | 1 | 1 | [
"A019434",
"A020639",
"A086748",
"A143512",
"A143513",
"A392367",
"A392368"
] | null | Amiram Eldar, Jan 09 2026 | 2026-01-09T10:02:51 | oeisdata/seq/A392/A392368.seq | 6168ee1529f11cb784ab1a0a10629a71 |
A392382 | Numbers m with deficiency 28: sigma(m) - 2*m = -28. | [
"29",
"62",
"182",
"230",
"344",
"944",
"6710",
"20264",
"36224",
"538112",
"2085710",
"14503550",
"33665024",
"55328384",
"134438912",
"615206030",
"1082574464",
"2148368384",
"1100954390528",
"3226703679488",
"22624165941248",
"75592362807296",
"460456433433230"
] | [
"nonn",
"new"
] | 11 | 1 | 1 | [
"A087167",
"A088831",
"A088832",
"A088833",
"A101223",
"A101259",
"A125246",
"A125247",
"A125248",
"A141545",
"A141546",
"A141547",
"A141548",
"A141549",
"A141550",
"A175730",
"A175989",
"A191363",
"A223606",
"A223607",
"A223608",
"A223609",
"A223610",
"A223611",
"A22... | null | Max Alekseyev, Jan 09 2026 | 2026-01-18T23:44:53 | oeisdata/seq/A392/A392382.seq | 53f35184fd1484fd3e74ccc03dc02078 |
A392383 | Numbers m with abundance 28: sigma(m) - 2*m = 28. | [
"48",
"2002",
"5170",
"29056",
"133042",
"114203776",
"2066945668300786",
"1747093491376127986",
"9073730624665226838016"
] | [
"nonn",
"more",
"new"
] | 7 | 1 | 1 | [
"A087167",
"A088831",
"A088832",
"A088833",
"A101223",
"A101259",
"A125246",
"A125247",
"A125248",
"A141545",
"A141546",
"A141547",
"A141548",
"A141549",
"A141550",
"A175730",
"A175989",
"A191363",
"A223606",
"A223607",
"A223608",
"A223609",
"A223610",
"A223611",
"A22... | null | Max Alekseyev, Jan 09 2026 | 2026-01-12T13:26:21 | oeisdata/seq/A392/A392383.seq | d8d6f9e547625668168501a6c311f1e9 |
A392384 | Numbers k such that sigma(k) = psi(k) + tau(k) + omega(k)^6. | [
"184",
"459",
"1375",
"6655",
"14739",
"24334"
] | [
"nonn",
"hard",
"more",
"new"
] | 8 | 1 | 1 | [
"A000005",
"A000203",
"A001221",
"A001615",
"A386637",
"A391447",
"A392263",
"A392384"
] | null | S. I. Dimitrov, Jan 09 2026 | 2026-01-14T19:25:02 | oeisdata/seq/A392/A392384.seq | 5736f373006ce35d5b5ecc7023c21e5f |
A392385 | Numbers k such that sigma(k) = psi(k) + tau(k) + omega(k)^7. | [
"27240",
"29832",
"31640",
"34040",
"35224",
"61290",
"67122",
"84915",
"170250",
"178802",
"197750",
"212750",
"235875",
"387590",
"431494",
"902418",
"2544934",
"2726715",
"4501790",
"11650190",
"12055414",
"12916515",
"95231202",
"101002790",
"350912490"
] | [
"nonn",
"hard",
"more",
"new"
] | 10 | 1 | 1 | [
"A000005",
"A000203",
"A001221",
"A001615",
"A386637",
"A391447",
"A392263",
"A392384",
"A392385"
] | null | S. I. Dimitrov, Jan 09 2026 | 2026-01-14T16:09:04 | oeisdata/seq/A392/A392385.seq | 0a76e4a3af1a1538ea36ebabb4da4aff |
A392386 | Numbers k such that omega(2*k) = omega(k + 2), where omega = A001221. | [
"1",
"2",
"10",
"12",
"13",
"18",
"19",
"20",
"22",
"24",
"26",
"31",
"34",
"36",
"37",
"38",
"43",
"44",
"46",
"48",
"49",
"50",
"52",
"53",
"54",
"56",
"61",
"67",
"72",
"73",
"74",
"80",
"83",
"86",
"89",
"92",
"94",
"96",
"97",
"98",
... | [
"nonn",
"new"
] | 10 | 1 | 2 | [
"A001221",
"A006049",
"A392386"
] | null | Juri-Stepan Gerasimov, Jan 09 2026 | 2026-01-17T16:24:17 | oeisdata/seq/A392/A392386.seq | c979c998dcf4cbc4058bfecfe26f0481 |
A392388 | Decimal expansion of the number whose continued fraction coefficients are given in A241773. | [
"6",
"9",
"3",
"3",
"6",
"2",
"1",
"2",
"4",
"5",
"9",
"2",
"5",
"6",
"0",
"5",
"5",
"0",
"5",
"0",
"7",
"8",
"1",
"5",
"6",
"2",
"5",
"5",
"3",
"9",
"2",
"3",
"8",
"7",
"8",
"5",
"2",
"9",
"2",
"2",
"6",
"6",
"1",
"4",
"1",
"... | [
"nonn",
"new"
] | 9 | 0 | 1 | [
"A241773",
"A391509",
"A391510",
"A392388"
] | null | Jwalin Bhatt, Jan 09 2026 | 2026-01-13T15:12:27 | oeisdata/seq/A392/A392388.seq | f34ca3fa020f62d8c94bccfedef794e8 |
A392389 | Number of free polybends with n cells. | [
"1",
"2",
"3",
"6",
"8",
"15",
"25",
"45",
"74",
"135",
"233",
"414",
"715",
"1279",
"2248",
"3952",
"6924",
"12279",
"21623",
"37895",
"66551",
"117379",
"206576",
"361376",
"634301",
"1115258",
"1959444",
"3424197",
"6003124",
"10532541",
"18475802",
"... | [
"nonn",
"new"
] | 17 | 1 | 2 | [
"A056841",
"A333233",
"A390885",
"A390993",
"A392389",
"A392390",
"A392391"
] | null | Pontus von Brömssen, Jan 10 2026 | 2026-01-13T19:59:02 | oeisdata/seq/A392/A392389.seq | 3bbc3977c1d0db95b6bc86fd7b9da20d |
A392390 | Number of one-sided polybends with n cells. | [
"1",
"3",
"4",
"10",
"13",
"28",
"44",
"85",
"139",
"263",
"450",
"815",
"1403",
"2540",
"4447",
"7868",
"13769",
"24500",
"43106",
"75685",
"132865",
"234600",
"412731",
"722450",
"1267901",
"2230016",
"3917654",
"6847502",
"12004150",
"21063678",
"369479... | [
"nonn",
"new"
] | 9 | 1 | 2 | [
"A006744",
"A333249",
"A390994",
"A392389",
"A392390",
"A392391"
] | null | Pontus von Brömssen, Jan 10 2026 | 2026-01-13T19:58:45 | oeisdata/seq/A392/A392390.seq | 9d5a308b85325ef6c9d7a3e652bf45a2 |
A392391 | Number of fixed polybends with n cells. | [
"4",
"8",
"16",
"29",
"52",
"96",
"176",
"310",
"556",
"1000",
"1800",
"3159",
"5612",
"9992",
"17788",
"31160",
"55076",
"97452",
"172424",
"301752",
"531460",
"936684",
"1650924",
"2886702",
"5071604",
"8914664",
"15670616",
"27380368",
"48016600",
"842379... | [
"nonn",
"new"
] | 4 | 1 | 1 | [
"A390995",
"A392389",
"A392390",
"A392391"
] | null | Pontus von Brömssen, Jan 10 2026 | 2026-01-12T13:34:32 | oeisdata/seq/A392/A392391.seq | 74e93d35f2142630e05f0389b65150be |
A392392 | Number of free polyquarcs with n cells. | [
"1",
"2",
"4",
"13",
"38",
"141",
"521",
"2064",
"8155",
"33111",
"135271",
"559215",
"2324502",
"9726175",
"40887925",
"172669360",
"731895102",
"3112855720"
] | [
"nonn",
"more",
"new"
] | 18 | 1 | 2 | [
"A187210",
"A187220",
"A392389",
"A392392",
"A392393",
"A392394"
] | null | Pontus von Brömssen, Jan 15 2026 | 2026-01-17T06:57:01 | oeisdata/seq/A392/A392392.seq | 5f87ebf5c1a3fdeb6a6fc9f60875854f |
A392393 | Number of one-sided polyquarcs with n cells. | [
"1",
"3",
"6",
"23",
"70",
"272",
"1021",
"4087",
"16235",
"66064",
"270261",
"1117807",
"4647900",
"19449879",
"81771427",
"345328750",
"1463772282",
"6225670768",
"26557822342"
] | [
"nonn",
"more",
"new"
] | 14 | 1 | 2 | [
"A392390",
"A392392",
"A392393",
"A392394"
] | null | Pontus von Brömssen, Jan 15 2026 | 2026-01-17T08:20:59 | oeisdata/seq/A392/A392393.seq | f5e696624afeba007fa0dd1a6925c8c1 |
A392394 | Number of fixed polyquarcs with n cells. | [
"4",
"8",
"24",
"79",
"280",
"1048",
"4084",
"16184",
"64940",
"263622",
"1081044",
"4468567",
"18591600",
"77788504",
"327085708",
"1381268513",
"5855089128",
"24902486056",
"106231289368",
"454392461720"
] | [
"nonn",
"more",
"new"
] | 11 | 1 | 1 | [
"A392391",
"A392392",
"A392393",
"A392394"
] | null | Pontus von Brömssen, Jan 15 2026 | 2026-01-16T19:07:48 | oeisdata/seq/A392/A392394.seq | e970caccd74d3c721d0ef1fab3c57442 |
A392395 | a(n) is the least positive integer k such that Mordell's equation y^2 = x^3 - k has exactly n integer solutions with y >= 0. | [
"3",
"1",
"4",
"28",
"116",
"828",
"496",
"207",
"503",
"431",
"2351",
"3807",
"63900",
"64432",
"344719",
"317079",
"201023",
"194023",
"43847",
"9773775",
"2806208",
"28279",
"1690399",
"6668900",
"6959600",
"1809856",
"89466479",
"20615391",
"390990583",
... | [
"nonn",
"new"
] | 4 | 0 | 1 | [
"A081121",
"A106265",
"A134109",
"A392144",
"A392395"
] | null | Zhining Yang, Jan 09 2026 | 2026-01-15T21:41:32 | oeisdata/seq/A392/A392395.seq | 30e6b4d9f96470cb94e9fd2c8b410584 |
A392397 | Primes p that are congruent to 1 (mod 10) for which 5 | A001177(p). | [
"11",
"31",
"41",
"61",
"71",
"101",
"131",
"151",
"181",
"191",
"241",
"251",
"271",
"311",
"331",
"401",
"431",
"491",
"541",
"571",
"601",
"631",
"641",
"661",
"701",
"751",
"761",
"811",
"821",
"911",
"941",
"971",
"1021",
"1051",
"1061",
"10... | [
"nonn",
"new"
] | 8 | 1 | 1 | [
"A001177",
"A030430",
"A040969",
"A392397"
] | null | Amiram Eldar, Jan 10 2026 | 2026-01-10T07:40:31 | oeisdata/seq/A392/A392397.seq | 13de05e0a8485e6d0538ad720029a78e |
A392398 | a(n) = Sum_{k=0..floor(2*n/7)} binomial(2*n-5*k,2*k). | [
"1",
"1",
"1",
"1",
"4",
"11",
"22",
"38",
"71",
"149",
"316",
"639",
"1257",
"2493",
"5031",
"10196",
"20538",
"41168",
"82561",
"165995",
"334074",
"671856",
"1350078",
"2712818",
"5453022",
"10963211",
"22039707",
"44301549",
"89047335",
"178996043",
"3... | [
"nonn",
"easy",
"new"
] | 19 | 0 | 5 | [
"A099098",
"A108479",
"A375279",
"A375282",
"A375284",
"A391541",
"A392398",
"A392399"
] | null | Seiichi Manyama, Jan 10 2026 | 2026-01-13T03:07:20 | oeisdata/seq/A392/A392398.seq | f0bac88c264e6d8a3b5f202e5b2234f5 |
A392399 | a(n) = Sum_{k=0..floor(2*n/9)} binomial(2*n-7*k,2*k). | [
"1",
"1",
"1",
"1",
"1",
"4",
"11",
"22",
"37",
"57",
"94",
"176",
"347",
"667",
"1219",
"2158",
"3823",
"6913",
"12728",
"23513",
"43106",
"78338",
"141889",
"257571",
"469463",
"857602",
"1566006",
"2854694",
"5197179",
"9460622",
"17232811",
"31410913... | [
"nonn",
"easy",
"new"
] | 18 | 0 | 6 | [
"A099098",
"A108479",
"A375279",
"A375282",
"A375284",
"A391541",
"A392398",
"A392399"
] | null | Seiichi Manyama, Jan 10 2026 | 2026-01-13T03:07:17 | oeisdata/seq/A392/A392399.seq | 3be9fc2a309219cda261913b69c06c21 |
A392400 | a(n) = Sum_{k=0..floor(n/2)} binomial(2*n-k,3*k). | [
"1",
"1",
"2",
"11",
"37",
"113",
"377",
"1266",
"4175",
"13785",
"45665",
"151169",
"500162",
"1655187",
"5477917",
"18128529",
"59993817",
"198543154",
"657057431",
"2174457329",
"7196122817",
"23814769985",
"78812331010",
"260820625435",
"863156812373",
"28565213... | [
"nonn",
"easy",
"new"
] | 14 | 0 | 3 | [
"A387843",
"A392400",
"A392401",
"A392402",
"A392403",
"A392404",
"A392405"
] | null | Seiichi Manyama, Jan 10 2026 | 2026-01-10T08:35:18 | oeisdata/seq/A392/A392400.seq | 5f2d09cbcc7e30089256fddc34e3bffe |
A392401 | a(n) = Sum_{k=0..floor(2*n/5)} binomial(2*n-2*k,3*k). | [
"1",
"1",
"1",
"5",
"21",
"58",
"149",
"431",
"1299",
"3784",
"10828",
"31236",
"90741",
"263178",
"761403",
"2203162",
"6380241",
"18478155",
"53501860",
"154900529",
"448506736",
"1298668192",
"3760269946",
"10887655332",
"31524747503",
"91279009255",
"264295580... | [
"nonn",
"easy",
"new"
] | 14 | 0 | 4 | [
"A387843",
"A392400",
"A392401",
"A392402",
"A392403",
"A392404",
"A392405"
] | null | Seiichi Manyama, Jan 10 2026 | 2026-01-10T08:36:23 | oeisdata/seq/A392/A392401.seq | cee3c2e2bfbbed510af6e6a4b7f03aaf |
A392402 | a(n) = Sum_{k=0..floor(n/3)} binomial(2*n-3*k,3*k). | [
"1",
"1",
"1",
"2",
"11",
"36",
"86",
"194",
"497",
"1381",
"3739",
"9693",
"24901",
"64933",
"171112",
"450017",
"1177181",
"3074733",
"8044478",
"21075947",
"55210580",
"144535714",
"378292930",
"990284337",
"2592800365",
"6788565211",
"17772694549",
"46527959... | [
"nonn",
"easy",
"new"
] | 13 | 0 | 4 | [
"A387843",
"A392400",
"A392401",
"A392402",
"A392403",
"A392404",
"A392405"
] | null | Seiichi Manyama, Jan 10 2026 | 2026-01-10T08:37:42 | oeisdata/seq/A392/A392402.seq | f4cbdc644e86c8564756789505d932f4 |
A392403 | a(n) = Sum_{k=0..floor(2*n/7)} binomial(2*n-4*k,3*k). | [
"1",
"1",
"1",
"1",
"5",
"21",
"57",
"122",
"249",
"575",
"1485",
"3830",
"9369",
"22107",
"52226",
"125925",
"307653",
"750275",
"1815191",
"4371772",
"10539893",
"25488736",
"61735922",
"149450118",
"361364501",
"873306464",
"2111040783",
"5105279903",
"1234... | [
"nonn",
"easy",
"new"
] | 13 | 0 | 5 | [
"A387843",
"A392400",
"A392401",
"A392402",
"A392403",
"A392404",
"A392405"
] | null | Seiichi Manyama, Jan 10 2026 | 2026-01-10T08:39:12 | oeisdata/seq/A392/A392403.seq | 5c10a82f781770606b54ccb5e7acf97e |
A392404 | a(n) = Sum_{k=0..floor(n/4)} binomial(2*n-5*k,3*k). | [
"1",
"1",
"1",
"1",
"2",
"11",
"36",
"85",
"167",
"315",
"666",
"1605",
"3974",
"9394",
"21051",
"46066",
"101850",
"230720",
"530476",
"1217951",
"2769267",
"6247570",
"14077081",
"31830492",
"72252193",
"164222206",
"372849637",
"845040005",
"1913511381",
... | [
"nonn",
"easy",
"new"
] | 13 | 0 | 5 | [
"A387843",
"A392400",
"A392401",
"A392402",
"A392403",
"A392404",
"A392405"
] | null | Seiichi Manyama, Jan 10 2026 | 2026-01-10T08:40:10 | oeisdata/seq/A392/A392404.seq | d3971234c89afa76ead157ee6032f507 |
A392405 | a(n) = Sum_{k=0..floor(2*n/9)} binomial(2*n-6*k,3*k). | [
"1",
"1",
"1",
"1",
"1",
"5",
"21",
"57",
"121",
"222",
"393",
"771",
"1741",
"4144",
"9559",
"20809",
"43363",
"89330",
"187278",
"403242",
"881965",
"1926984",
"4165149",
"8908347",
"18971395",
"40495930",
"86897116",
"187207093",
"403609483",
"868631315",... | [
"nonn",
"easy",
"new"
] | 13 | 0 | 6 | [
"A387843",
"A392400",
"A392401",
"A392402",
"A392403",
"A392404",
"A392405"
] | null | Seiichi Manyama, Jan 10 2026 | 2026-01-10T08:41:52 | oeisdata/seq/A392/A392405.seq | 153f7223abb3203c368cb565b1ce0fcb |
A392408 | Number of permutations p of [n] such that i + p(i) is composite for all i. | [
"1",
"0",
"0",
"1",
"2",
"9",
"32",
"189",
"1368",
"8210",
"44148",
"389912",
"3101440",
"35058904",
"443288708",
"5108994142",
"55028376940",
"780766798385",
"11860152133970",
"196801719385449",
"3515777759388072",
"58688432620407329",
"933262343169946392",
"1827824399... | [
"nonn",
"new"
] | 25 | 0 | 5 | [
"A000040",
"A002808",
"A073364",
"A392408"
] | null | Sandeep Wawdane, Jan 10 2026 | 2026-01-13T20:00:38 | oeisdata/seq/A392/A392408.seq | b9f2af5afc620f13ad44d33432e05207 |
A392413 | Array read by antidiagonals: T(m,n) is the number of partitions of the vertices of the grid graph P_m X P_n into total dominating sets. | [
"0",
"1",
"1",
"1",
"3",
"1",
"1",
"3",
"3",
"1",
"1",
"9",
"15",
"9",
"1",
"1",
"19",
"33",
"33",
"19",
"1",
"1",
"51",
"187",
"339",
"187",
"51",
"1",
"1",
"129",
"723",
"2313",
"2313",
"723",
"129",
"1",
"1",
"339",
"3265",
"20001",
... | [
"nonn",
"tabl",
"new"
] | 8 | 1 | 5 | [
"A203285",
"A303111",
"A391824",
"A392413",
"A392414",
"A392415",
"A392416"
] | null | Andrew Howroyd, Jan 10 2026 | 2026-01-11T22:18:16 | oeisdata/seq/A392/A392413.seq | b5345f764f6d044e1ce525c524f2716a |
A392414 | Number of partitions of the vertices of the n X n grid graph into total dominating sets. | [
"0",
"3",
"15",
"339",
"36427",
"13096963",
"15873640451",
"62445564860451",
"798259949414744783",
"33068961752607200944323",
"4440858995726701710188116927",
"1932894955335199186084241506391523",
"2726827087399738240677114437220214753751",
"12468408636701355648750341837415268166509266259"
... | [
"nonn",
"new"
] | 6 | 1 | 2 | [
"A203279",
"A391825",
"A392413",
"A392414"
] | null | Andrew Howroyd, Jan 11 2026 | 2026-01-11T22:18:10 | oeisdata/seq/A392/A392414.seq | 1e832a44450c4eafcb53910545913181 |
A392415 | Number of partitions of the vertices of the n-ladder graph into total dominating sets. | [
"1",
"3",
"3",
"9",
"19",
"51",
"129",
"339",
"883",
"2313",
"6051",
"15843",
"41473",
"108579",
"284259",
"744201",
"1948339",
"5100819",
"13354113",
"34961523",
"91530451",
"239629833",
"627359043",
"1642447299",
"4299982849",
"11257501251",
"29472520899",
"77... | [
"nonn",
"easy",
"new"
] | 14 | 1 | 2 | [
"A007598",
"A392413",
"A392415",
"A392416"
] | null | Andrew Howroyd, Jan 11 2026 | 2026-01-12T08:44:34 | oeisdata/seq/A392/A392415.seq | 82502c0c63d7fc0f7a56065e32205a69 |
A392416 | Number of partitions of the vertices of the n X 3 grid graph into total dominating sets. | [
"1",
"3",
"15",
"33",
"187",
"723",
"3265",
"14451",
"63707",
"282753",
"1249731",
"5531139",
"24469121",
"108250899",
"478918091",
"2118744609",
"9373518211",
"41469120051",
"183462579393",
"811652664051",
"3590813514139",
"15886035617793",
"70281041695555",
"310928730... | [
"nonn",
"new"
] | 6 | 1 | 2 | [
"A203280",
"A392413",
"A392415",
"A392416"
] | null | Andrew Howroyd, Jan 11 2026 | 2026-01-11T22:18:01 | oeisdata/seq/A392/A392416.seq | 92aa67eadee98251b852f155812de3b0 |
A392417 | Array read by antidiagonals: T(m,n) is the number of mutual-visibility sets in the grid graph P_m X P_n. | [
"2",
"4",
"4",
"7",
"15",
"7",
"11",
"41",
"41",
"11",
"16",
"94",
"190",
"94",
"16",
"22",
"190",
"678",
"678",
"190",
"22",
"29",
"349",
"2006",
"3771",
"2006",
"349",
"29",
"37",
"595",
"5130",
"16724",
"16724",
"5130",
"595",
"37",
"46",
... | [
"nonn",
"tabl",
"new"
] | 6 | 1 | 1 | [
"A000124",
"A389183",
"A392417",
"A392418",
"A392419",
"A392420"
] | null | Andrew Howroyd, Jan 13 2026 | 2026-01-13T19:34:03 | oeisdata/seq/A392/A392417.seq | 379956aaecc4e6b0a4f43d2539c4b19c |
A392418 | Number of mutual-visibility sets in the n X n grid graph. | [
"2",
"15",
"190",
"3771",
"109812",
"4387638",
"229485587"
] | [
"nonn",
"more",
"new"
] | 4 | 1 | 1 | [
"A392417",
"A392418"
] | null | Andrew Howroyd, Jan 13 2026 | 2026-01-13T19:33:54 | oeisdata/seq/A392/A392418.seq | 107e10567be1899b0ffba89556645247 |
A392419 | Number of mutual-visibility sets in the n X 3 grid graph. | [
"7",
"41",
"190",
"678",
"2006",
"5130",
"11680",
"24224",
"46576",
"84148",
"144346",
"237010",
"374898",
"574214",
"855180",
"1242652",
"1766780",
"2463712",
"3376342",
"4555102",
"6058798",
"7955490",
"10323416",
"13251960",
"16842664",
"21210284",
"26483890",
... | [
"nonn",
"easy",
"new"
] | 9 | 1 | 1 | [
"A392417",
"A392419"
] | null | Andrew Howroyd, Jan 13 2026 | 2026-01-13T19:33:58 | oeisdata/seq/A392/A392419.seq | b2424fd97c674f09889f2a1e4a79f79c |
A392420 | Number of mutual-visibility sets in the n X 4 grid graph. | [
"11",
"94",
"678",
"3771",
"16724",
"61382",
"192280",
"528267",
"1302956",
"2940272",
"6162266",
"12137259",
"22677276",
"40494626",
"69528380",
"115352395",
"185677428",
"290960780",
"445137806",
"666490523",
"978669444",
"1411885662",
"2004291104",
"2803565771",
"3... | [
"nonn",
"easy",
"new"
] | 8 | 1 | 1 | [
"A392417",
"A392420"
] | null | Andrew Howroyd, Jan 13 2026 | 2026-01-13T19:33:50 | oeisdata/seq/A392/A392420.seq | dd8f0db27548ba7958613026eada2985 |
A392421 | Number of mutual-visibility sets of size 3 in the n-cycle graph. | [
"0",
"0",
"1",
"4",
"5",
"14",
"14",
"32",
"30",
"60",
"55",
"100",
"91",
"154",
"140",
"224",
"204",
"312",
"285",
"420",
"385",
"550",
"506",
"704",
"650",
"884",
"819",
"1092",
"1015",
"1330",
"1240",
"1600",
"1496",
"1904",
"1785",
"2244",
... | [
"nonn",
"easy",
"new"
] | 17 | 1 | 4 | [
"A000292",
"A060423",
"A389177",
"A392421"
] | null | Andrew Howroyd, Jan 14 2026 | 2026-01-16T19:08:17 | oeisdata/seq/A392/A392421.seq | 59baf119616902b1d10027ddf528d5b7 |
A392423 | Powers k^m, m > 1, odd k that are neither squarefree nor squareful. | [
"2025",
"3969",
"5625",
"9801",
"13689",
"18225",
"21609",
"23409",
"29241",
"30625",
"35721",
"42849",
"60025",
"68121",
"75625",
"77841",
"88209",
"91125",
"99225",
"105625",
"110889",
"123201",
"131769",
"136161",
"140625",
"149769",
"164025",
"178929",
"18... | [
"nonn",
"easy",
"new"
] | 6 | 1 | 1 | [
"A001597",
"A001694",
"A005408",
"A013929",
"A024619",
"A126706",
"A131605",
"A286708",
"A332785",
"A386762",
"A391025",
"A392423",
"A392424"
] | null | Michael De Vlieger, Jan 10 2026 | 2026-01-13T14:41:41 | oeisdata/seq/A392/A392423.seq | 1a1550f308701d92ba10369a782ba958 |
A392424 | Powers k^m, m > 1, of even k that are neither squarefree nor squareful. | [
"144",
"324",
"400",
"576",
"784",
"1600",
"1728",
"1936",
"2304",
"2500",
"2704",
"2916",
"3136",
"3600",
"4624",
"5776",
"5832",
"6400",
"7056",
"7744",
"8000",
"8100",
"8464",
"9216",
"9604",
"10816",
"12544",
"13456",
"13824",
"14400",
"15376",
"1587... | [
"nonn",
"easy",
"new"
] | 6 | 1 | 1 | [
"A001597",
"A001694",
"A005843",
"A013929",
"A024619",
"A126706",
"A131605",
"A286708",
"A332785",
"A386762",
"A391026",
"A392423",
"A392424"
] | null | Michael De Vlieger, Jan 11 2026 | 2026-01-13T14:42:10 | oeisdata/seq/A392/A392424.seq | 2bc94ca061fa68114fc5d9bdcf87d935 |
A392425 | Number of vertices in a complete bipartite graph where the vertices in the two parts are placed on opposite sides of a parabola at integer x coordinates |x| = 1, 2, ...n. | [
"2",
"5",
"15",
"42",
"100",
"205",
"393",
"676",
"1101",
"1710",
"2518",
"3637",
"5049",
"6860",
"9074",
"11783",
"15097",
"19039",
"23825",
"29473",
"35966",
"43545",
"52183",
"62338",
"73662",
"86429",
"100969",
"116904",
"134700",
"154855",
"177367",
... | [
"nonn",
"new"
] | 11 | 1 | 1 | [
"A331755",
"A392425",
"A392426",
"A392427",
"A392442"
] | null | Scott R. Shannon, Jan 11 2026 | 2026-01-14T10:38:09 | oeisdata/seq/A392/A392425.seq | 7879b59158743e61a2fd484125d010d6 |
A392426 | Number of finite regions in a complete bipartite graph where the vertices in the two parts are placed on opposite sides of a parabola at integer x coordinates |x| = 1, 2, ...n. | [
"0",
"2",
"13",
"44",
"111",
"233",
"444",
"767",
"1247",
"1925",
"2834",
"4064",
"5637",
"7641",
"10110",
"13132",
"16803",
"21182",
"26439",
"32627",
"39789",
"48111",
"57628",
"68664",
"81072",
"95078",
"110933",
"128456",
"148009",
"169949",
"194346",
... | [
"nonn",
"new"
] | 8 | 1 | 2 | [
"A290131",
"A392425",
"A392426",
"A392427",
"A392443"
] | null | Scott R. Shannon, Jan 11 2026 | 2026-01-14T10:38:13 | oeisdata/seq/A392/A392426.seq | 637c05872cad716aa54bd440cafd3d32 |
A392427 | Number of edges in a complete bipartite graph where the vertices in the two parts are placed on opposite sides of a parabola at integer x coordinates |x| = 1, 2, ...n. | [
"1",
"6",
"27",
"85",
"210",
"437",
"836",
"1442",
"2347",
"3634",
"5351",
"7700",
"10685",
"14500",
"19183",
"24914",
"31899",
"40220",
"50263",
"62099",
"75754",
"91655",
"109810",
"131001",
"154733",
"181506",
"211901",
"245359",
"282708",
"324803",
"37... | [
"nonn",
"new"
] | 9 | 1 | 2 | [
"A290132",
"A392425",
"A392426",
"A392427",
"A392444"
] | null | Scott R. Shannon, Jan 11 2026 | 2026-01-14T10:38:18 | oeisdata/seq/A392/A392427.seq | 87686df01d84b92ff4dee9c8da5fafd7 |
A392428 | a(n) = Sum_{k=0..floor(2*n/3)} binomial(2*k,2*n-3*k). | [
"1",
"0",
"2",
"1",
"6",
"7",
"21",
"34",
"80",
"149",
"319",
"629",
"1299",
"2617",
"5336",
"10828",
"21992",
"44713",
"90741",
"184524",
"374521",
"761403",
"1545839",
"3141826",
"6380241",
"12964858",
"26332515",
"53501860",
"108676262",
"220790480",
"4... | [
"nonn",
"easy",
"new"
] | 14 | 0 | 3 | [
"A108479",
"A376729",
"A376730",
"A376731",
"A391594",
"A392428",
"A392429",
"A392430"
] | null | Seiichi Manyama, Jan 11 2026 | 2026-01-11T09:20:18 | oeisdata/seq/A392/A392428.seq | 3ba7c77481f689bc1dfb03f64a9bfabe |
A392429 | a(n) = Sum_{k=0..floor(2*n/5)} binomial(2*k,2*n-5*k). | [
"1",
"0",
"0",
"2",
"0",
"1",
"6",
"1",
"6",
"20",
"7",
"28",
"70",
"38",
"121",
"253",
"186",
"505",
"938",
"859",
"2069",
"3553",
"3822",
"8390",
"13700",
"16577",
"33834",
"53585",
"70607",
"136078",
"211907",
"296808",
"546806",
"844899",
"1235... | [
"nonn",
"easy",
"new"
] | 14 | 0 | 4 | [
"A108479",
"A376729",
"A376730",
"A376731",
"A391265",
"A391594",
"A392428",
"A392429",
"A392430"
] | null | Seiichi Manyama, Jan 11 2026 | 2026-01-11T09:20:14 | oeisdata/seq/A392/A392429.seq | 9f28303742d9fe75d0d7bbbce815201d |
A392430 | a(n) = Sum_{k=0..floor(2*n/7)} binomial(2*k,2*n-7*k). | [
"1",
"0",
"0",
"0",
"2",
"0",
"0",
"1",
"6",
"1",
"0",
"6",
"20",
"6",
"1",
"28",
"70",
"28",
"11",
"120",
"252",
"121",
"76",
"495",
"924",
"509",
"430",
"2003",
"3433",
"2122",
"2184",
"8022",
"12888",
"8824",
"10388",
"31945",
"48811",
"36... | [
"nonn",
"easy",
"new"
] | 14 | 0 | 5 | [
"A108479",
"A376729",
"A376730",
"A376731",
"A391594",
"A392428",
"A392429",
"A392430"
] | null | Seiichi Manyama, Jan 11 2026 | 2026-01-11T09:20:10 | oeisdata/seq/A392/A392430.seq | 7b3aecc5923b5448b6d26eafbdba46c8 |
A392431 | a(n) = Sum_{k=0..2*n} binomial(3*k,2*n-k). | [
"1",
"4",
"26",
"181",
"1252",
"8657",
"59864",
"413966",
"2862617",
"19795288",
"136886433",
"946583628",
"6545722210",
"45264335853",
"313007493212",
"2164478699633",
"14967590689568",
"103502414271126",
"715729737814001",
"4949344043795952",
"34225218220881473",
"2366708... | [
"nonn",
"easy",
"new"
] | 21 | 0 | 2 | [
"A003269",
"A375307",
"A392431",
"A392432",
"A392433",
"A392434",
"A392435",
"A392436"
] | null | Seiichi Manyama, Jan 11 2026 | 2026-01-11T10:27:06 | oeisdata/seq/A392/A392431.seq | 3b5e5b19c2adebf32222fd1c87b3453f |
A392432 | a(n) = Sum_{k=0..floor(2*n/3)} binomial(3*k,2*n-3*k). | [
"1",
"0",
"3",
"2",
"15",
"24",
"86",
"192",
"546",
"1381",
"3651",
"9582",
"24901",
"65748",
"170796",
"450017",
"1172412",
"3080367",
"8044478",
"21096027",
"55169988",
"144535714",
"378243264",
"990489234",
"2592800365",
"6788471991",
"17771977254",
"46527959... | [
"nonn",
"easy",
"new"
] | 14 | 0 | 3 | [
"A375307",
"A392431",
"A392432",
"A392433",
"A392434",
"A392435",
"A392436"
] | null | Seiichi Manyama, Jan 11 2026 | 2026-01-11T09:20:04 | oeisdata/seq/A392/A392432.seq | 9ad7a3eb3167292c895e7382ce3e78eb |
A392433 | a(n) = Sum_{k=0..floor(n/2)} binomial(3*k,2*n-4*k). | [
"1",
"0",
"1",
"3",
"1",
"15",
"16",
"37",
"127",
"150",
"505",
"1029",
"1861",
"5224",
"9497",
"21777",
"50199",
"98313",
"232681",
"490723",
"1047105",
"2373982",
"4971986",
"10993174",
"24013198",
"51346109",
"113484808",
"244619349",
"531470618",
"116283... | [
"nonn",
"easy",
"new"
] | 14 | 0 | 4 | [
"A375307",
"A392431",
"A392432",
"A392433",
"A392434",
"A392435",
"A392436"
] | null | Seiichi Manyama, Jan 11 2026 | 2026-01-11T09:20:00 | oeisdata/seq/A392/A392433.seq | 8fc79d0577a3cf8f7bf8d9bf0faf9ee2 |
A392434 | a(n) = Sum_{k=0..floor(2*n/5)} binomial(3*k,2*n-5*k). | [
"1",
"0",
"0",
"3",
"1",
"1",
"15",
"15",
"10",
"84",
"127",
"102",
"496",
"939",
"950",
"3070",
"6589",
"8065",
"19950",
"45193",
"64109",
"135120",
"307616",
"487492",
"941887",
"2096251",
"3598606",
"6675696",
"14367175",
"26051277",
"47676838",
"9920... | [
"nonn",
"easy",
"new"
] | 18 | 0 | 4 | [
"A375307",
"A392431",
"A392432",
"A392433",
"A392434",
"A392435",
"A392436"
] | null | Seiichi Manyama, Jan 11 2026 | 2026-01-13T10:57:47 | oeisdata/seq/A392/A392434.seq | 95922d81c6c0f6d10a829eba172c0ba2 |
A392435 | a(n) = Sum_{k=0..floor(n/3)} binomial(3*k,2*n-6*k). | [
"1",
"0",
"0",
"1",
"3",
"0",
"1",
"15",
"15",
"2",
"36",
"126",
"85",
"75",
"495",
"925",
"600",
"1431",
"5007",
"6588",
"6063",
"19020",
"43983",
"49743",
"72829",
"206826",
"363495",
"428528",
"852102",
"1999155",
"3001497",
"4181787",
"9199161",
... | [
"nonn",
"easy",
"new"
] | 17 | 0 | 5 | [
"A375307",
"A392431",
"A392432",
"A392433",
"A392434",
"A392435",
"A392436"
] | null | Seiichi Manyama, Jan 11 2026 | 2026-01-13T12:49:02 | oeisdata/seq/A392/A392435.seq | 4c9113bbd1ceac1e3a873998cfa4f7a1 |
A392436 | a(n) = Sum_{k=0..floor(2*n/7)} binomial(3*k,2*n-7*k). | [
"1",
"0",
"0",
"0",
"3",
"1",
"0",
"1",
"15",
"15",
"1",
"9",
"84",
"126",
"37",
"67",
"495",
"924",
"510",
"521",
"3004",
"6436",
"5158",
"4425",
"18669",
"43780",
"45088",
"38913",
"119341",
"294359",
"363343",
"338086",
"789762",
"1970166",
"278... | [
"nonn",
"easy",
"new"
] | 21 | 0 | 5 | [
"A375307",
"A392431",
"A392432",
"A392433",
"A392434",
"A392435",
"A392436"
] | null | Seiichi Manyama, Jan 11 2026 | 2026-01-17T23:10:51 | oeisdata/seq/A392/A392436.seq | f072fd7125df1fccd684de7d4baba3e2 |
A392442 | Number of vertices in a complete bipartite graph where the vertices in the two parts are placed on opposite sides of a parabola at integer y coordinates y = 1, 2, ...n. | [
"2",
"5",
"15",
"42",
"108",
"225",
"443",
"776",
"1273",
"1984",
"2986",
"4275",
"6005",
"8174",
"10882",
"14199",
"18297",
"23127",
"28961",
"35747",
"43692",
"52905",
"63555",
"75596",
"89320",
"104887",
"122387",
"141960",
"163914",
"188135",
"215137",... | [
"nonn",
"new"
] | 15 | 1 | 1 | [
"A331755",
"A392425",
"A392442",
"A392443",
"A392444"
] | null | Scott R. Shannon, Jan 12 2026 | 2026-01-14T10:37:58 | oeisdata/seq/A392/A392442.seq | 9d0efe4e3b6c684b3b9b3939bf18042c |
A392443 | Number of finite regions in a complete bipartite graph where the vertices in the two parts are placed on opposite sides of a parabola at integer y coordinates y = 1, 2, ...n. | [
"0",
"2",
"13",
"44",
"115",
"243",
"470",
"819",
"1337",
"2071",
"3090",
"4412",
"6163",
"8367",
"11112",
"14480",
"18607",
"23496",
"29363",
"36203",
"44203",
"53475",
"64166",
"76282",
"90096",
"105734",
"123311",
"142964",
"164971",
"189283",
"216342",... | [
"nonn",
"new"
] | 11 | 1 | 2 | [
"A290131",
"A392426",
"A392442",
"A392443",
"A392444"
] | null | Scott R. Shannon, Jan 12 2026 | 2026-01-14T10:38:02 | oeisdata/seq/A392/A392443.seq | 525410ab3a362cfc0b645d453828c384 |
A392444 | Number of edges in a complete bipartite graph where the vertices in the two parts are placed on opposite sides of a parabola at integer y coordinates y = 1, 2, ...n. | [
"1",
"6",
"27",
"85",
"222",
"467",
"912",
"1594",
"2609",
"4054",
"6075",
"8686",
"12167",
"16540",
"21993",
"28678",
"36903",
"46622",
"58323",
"71949",
"87894",
"106379",
"127720",
"151877",
"179415",
"210620",
"245697",
"284923",
"328884",
"377417",
"4... | [
"nonn",
"new"
] | 10 | 1 | 2 | [
"A290132",
"A392427",
"A392442",
"A392443",
"A392444"
] | null | Scott R. Shannon, Jan 12 2026 | 2026-01-14T10:38:06 | oeisdata/seq/A392/A392444.seq | 2bd2a6787f8c9150ec8b32b267813f1c |
A392447 | The number of exponential divisors of n that are numbers whose prime factorization exponents are all powers of 2 (A138302). | [
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"1",
"1",
"3",
"1",
"2",
"1",
"2",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"4",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"... | [
"nonn",
"mult",
"easy",
"new"
] | 8 | 1 | 4 | [
"A001511",
"A049419",
"A138302",
"A268335",
"A278908",
"A322791",
"A365296",
"A367987",
"A368979",
"A368980",
"A392447",
"A392448"
] | null | Amiram Eldar, Jan 13 2026 | 2026-01-14T13:33:28 | oeisdata/seq/A392/A392447.seq | 71a7f1cf971abf4c85daa1e62a4deefa |
A392448 | The sum of the exponential divisors of n that are numbers whose prime factorization exponents are all powers of 2 (A138302). | [
"1",
"2",
"3",
"6",
"5",
"6",
"7",
"2",
"12",
"10",
"11",
"18",
"13",
"14",
"15",
"22",
"17",
"24",
"19",
"30",
"21",
"22",
"23",
"6",
"30",
"26",
"3",
"42",
"29",
"30",
"31",
"2",
"33",
"34",
"35",
"72",
"37",
"38",
"39",
"10",
"41",
... | [
"nonn",
"mult",
"easy",
"new"
] | 7 | 1 | 2 | [
"A007947",
"A051377",
"A138302",
"A268335",
"A322791",
"A392447",
"A392448"
] | null | Amiram Eldar, Jan 13 2026 | 2026-01-14T13:33:20 | oeisdata/seq/A392/A392448.seq | 1cb19a9135e4d7887867e112b2007ca4 |
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