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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A392139 | Number of ways to write n^4 as an ordered sum of n fourth powers of integers. | [
"1",
"2",
"4",
"6",
"8",
"970",
"396",
"13454",
"16",
"6644754",
"610580",
"374922262",
"354840",
"365358090266",
"10420009628",
"129376411644510",
"37970205802528",
"22202426383718434",
"13471239507620723748",
"514525165340135141414",
"272732900529553785789480",
"102327485... | [
"nonn",
"new"
] | 7 | 0 | 2 | [
"A000583",
"A175372",
"A175375",
"A232173",
"A259793",
"A299169",
"A299195",
"A307644",
"A346566",
"A392139"
] | null | Ilya Gutkovskiy, Jan 01 2026 | 2026-01-05T16:51:01 | oeisdata/seq/A392/A392139.seq | 69e3c13cc0677125f2bbf21eeac7e5d0 |
A392140 | Number of prime factors of 1+2^2+3^3+...+n^n (counted with multiplicity). | [
"0",
"1",
"5",
"7",
"1",
"1",
"6",
"6",
"4",
"1",
"5",
"5",
"2",
"7",
"8",
"7",
"7",
"5",
"10",
"8",
"5",
"4",
"5",
"6",
"3",
"3",
"8",
"6",
"3",
"1",
"7",
"6",
"5",
"5",
"12",
"14",
"3",
"3",
"5",
"7",
"5",
"5",
"16",
"5",
"5",... | [
"nonn",
"hard",
"new"
] | 31 | 1 | 3 | [
"A001222",
"A001923",
"A392140"
] | null | Alex Ratushnyak, Jan 01 2026 | 2026-01-09T13:48:07 | oeisdata/seq/A392/A392140.seq | 009d072d977811c78b2ed7e8e97aa20f |
A392141 | a(0) = 1 and a(1) = 2, then each subsequent term is obtained by multiplying the two previous terms and then deleting repeated digits, keeping only the first occurrence of each digit. | [
"1",
"2",
"2",
"4",
"8",
"32",
"256",
"8192",
"209715",
"1798520",
"3716280",
"683095",
"2538760",
"1734260",
"40286917",
"6987420",
"28150694",
"19670248",
"53712",
"10562837",
"56731094",
"592418736",
"3608529714",
"2137609854",
"713628509",
"152493768",
"108239... | [
"nonn",
"base",
"easy",
"new"
] | 39 | 0 | 2 | [
"A000301",
"A137564",
"A392141"
] | null | Rodolfo Kurchan, Jan 01 2026 | 2026-01-06T17:08:22 | oeisdata/seq/A392/A392141.seq | 3ed398091ea9cdc6a6d0608b985b2a32 |
A392142 | Starting with a(1) = 1, each term is obtained by doubling the previous term and then deleting repeated digits, keeping only the first occurrence of each digit. | [
"1",
"2",
"4",
"8",
"16",
"32",
"64",
"128",
"256",
"512",
"1024",
"2048",
"4096",
"8192",
"16384",
"32768",
"653",
"1306",
"261",
"52",
"104",
"208",
"416",
"832",
"164",
"328",
"65",
"130",
"260",
"520",
"104",
"208",
"416",
"832",
"164",
"328"... | [
"nonn",
"base",
"easy",
"new"
] | 16 | 1 | 2 | [
"A137564",
"A370748",
"A392142"
] | null | Rodolfo Kurchan, Jan 01 2026 | 2026-01-06T17:19:46 | oeisdata/seq/A392/A392142.seq | 3d73391506401732b12b5dc76758b703 |
A392143 | a(n) = (n^(n - 1) - 1)^n. | [
"0",
"1",
"512",
"15752961",
"94606929690624",
"220903392825527587890625",
"311954920641940794545461153939587072",
"374142991911400415397080306521056997980469670707201",
"507528679944764261210790982765425081637339300928309681979392000000000",
"999999990000000044999999880000000209999999748000000209... | [
"nonn",
"easy",
"new"
] | 12 | 1 | 3 | [
"A253604",
"A373387",
"A390597",
"A392143"
] | null | Marco Ripà, Jan 01 2026 | 2026-01-09T17:30:24 | oeisdata/seq/A392/A392143.seq | 85a348ac2135945d8c9a45e4504bb8bf |
A392144 | 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. | [
"6",
"2",
"12",
"1",
"8",
"9",
"73",
"316",
"17",
"297",
"2817",
"1737",
"4481",
"225",
"2089",
"14400",
"1025",
"197225",
"65600",
"92025",
"260100",
"442225",
"4215025",
"885025",
"54225",
"22548673",
"13221225",
"23882257",
"5472225",
"3470400",
"131862... | [
"nonn",
"new"
] | 28 | 0 | 1 | [
"A054504",
"A134108",
"A179162",
"A392144",
"A392395"
] | null | Zhining Yang, Jan 01 2026 | 2026-01-15T21:42:01 | oeisdata/seq/A392/A392144.seq | 575086342ad36cc6712fc327f8afca18 |
A392145 | Numbers k such that (28^k - 5^k)/23 is prime. | [
"17",
"167",
"317",
"2677",
"6689",
"10859",
"28151"
] | [
"nonn",
"hard",
"more"
] | 9 | 1 | 1 | [
"A062587",
"A062589",
"A127996",
"A127997",
"A128344",
"A204940",
"A217320",
"A225807",
"A229542",
"A375161",
"A375236",
"A377031",
"A392145"
] | null | Robert Price, Jan 01 2026 | 2026-01-02T15:55:25 | oeisdata/seq/A392/A392145.seq | 9a22637b20cc0dd1b442a852d901461a |
A392158 | For each starting value n, the number of distinct terms in the sequence obtained by repeatedly doubling and then deleting repeated digits (keeping the first occurrence) until a term repeats. | [
"30",
"29",
"35",
"28",
"31",
"34",
"37",
"27",
"40",
"30",
"30",
"33",
"13",
"36",
"36",
"26",
"36",
"39",
"39",
"29",
"42",
"29",
"35",
"32",
"32",
"12",
"32",
"35",
"28",
"35",
"38",
"25",
"35",
"35",
"38",
"38",
"37",
"38",
"48",
"28"... | [
"nonn",
"base",
"new"
] | 23 | 1 | 1 | [
"A137564",
"A392142",
"A392158"
] | null | Rodolfo Kurchan, Jan 01 2026 | 2026-01-06T17:31:56 | oeisdata/seq/A392/A392158.seq | 4576209a7be71500b05913b33ae61d2d |
A392159 | Decimal expansion of Pi^2/(36*(3 - sqrt(6))*(sqrt(2) - 1)*zeta(3)). | [
"1",
"0",
"0",
"0",
"1",
"8",
"9",
"9",
"5",
"3",
"3",
"5",
"6",
"1",
"3",
"0",
"3",
"7",
"6",
"7",
"1",
"9",
"4",
"3",
"9",
"4",
"2",
"7",
"9",
"8",
"3",
"2",
"0",
"6",
"5",
"9",
"2",
"0",
"4",
"9",
"6",
"1",
"8",
"9",
"1",
"... | [
"nonn",
"cons"
] | 11 | 1 | 6 | [
"A002117",
"A002388",
"A014176",
"A188582",
"A353908",
"A392159",
"A392160"
] | null | Stefano Spezia, Jan 01 2026 | 2026-01-02T09:32:02 | oeisdata/seq/A392/A392159.seq | 538abae623a5f30b65b6e3f6e74d3b3a |
A392160 | Decimal expansion of 2*sqrt(3)*Pi^2/(27*zeta(3)). | [
"1",
"0",
"5",
"3",
"4",
"2",
"0",
"0",
"4",
"3",
"3",
"6",
"9",
"2",
"4",
"4",
"2",
"0",
"5",
"1",
"0",
"3",
"4",
"8",
"2",
"4",
"7",
"9",
"9",
"1",
"4",
"9",
"8",
"9",
"0",
"6",
"3",
"1",
"0",
"8",
"1",
"4",
"8",
"1",
"2",
"... | [
"nonn",
"cons"
] | 7 | 1 | 3 | [
"A002117",
"A002194",
"A002388",
"A164102",
"A291050",
"A346933",
"A392159",
"A392160"
] | null | Stefano Spezia, Jan 01 2026 | 2026-01-02T09:32:08 | oeisdata/seq/A392/A392160.seq | f5a3871cebe969d79aa290fcbc283ef2 |
A392161 | Primes that are happy palindromic primes and are also the sum of 3 happy palindromic primes. | [
"95959",
"7868687",
"7984897",
"9585859",
"9782879",
"9935399",
"130222031",
"150686051",
"312787213",
"318787813",
"325989523",
"325999523",
"327353723",
"328383823",
"328929823",
"329585923",
"333040333",
"333686333",
"333898333",
"334575433",
"335474533",
"336979633",
... | [
"nonn",
"base",
"new"
] | 33 | 1 | 1 | [
"A364479",
"A392161"
] | null | Clinton Hunter, Jan 01 2026 | 2026-01-07T23:34:26 | oeisdata/seq/A392/A392161.seq | eb2a68033121903534d2eae33570183d |
A392162 | a(n) is the smallest number not yet in the sequence that has exactly one prime factor in common with a(n-1) and has at least two other different prime factors that are not factors of a(n-1); a(1) = 2. | [
"2",
"30",
"154",
"60",
"182",
"66",
"70",
"78",
"105",
"102",
"110",
"42",
"130",
"84",
"165",
"114",
"140",
"132",
"170",
"126",
"190",
"138",
"195",
"168",
"220",
"156",
"230",
"174",
"231",
"90",
"238",
"120",
"266",
"150",
"273",
"180",
"2... | [
"nonn",
"new"
] | 25 | 1 | 1 | [
"A064413",
"A350352",
"A392162"
] | null | Enrique Navarrete, Jan 01 2026 | 2026-01-12T14:29:18 | oeisdata/seq/A392/A392162.seq | 5b7a5748e592afa73cdc9377fa205c00 |
A392164 | a(n) is the size of the largest subset S of {1,...,N} such that every element of S+S is squarefree. | [
"1",
"1",
"1",
"1",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"3",
"3",
"3",
"3",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"5",
"5",
"5",
"5",
"6",
"6",
"6",
"6",
"6",
"... | [
"nonn",
"new"
] | 17 | 1 | 5 | [
"A392164",
"A392165"
] | null | Elijah Beregovsky, Jan 02 2026 | 2026-01-08T09:28:17 | oeisdata/seq/A392/A392164.seq | 618041fa436d84930811cde6cac36495 |
A392165 | Indices of record values in A392164. | [
"1",
"5",
"19",
"23",
"37",
"41",
"59",
"87",
"101",
"105",
"113",
"131",
"151",
"159",
"167",
"195",
"203",
"239",
"259",
"303",
"307",
"403",
"451",
"499",
"517",
"553",
"573",
"609",
"645",
"701",
"719",
"787",
"807",
"827",
"889",
"1003",
"... | [
"nonn",
"more",
"new"
] | 21 | 1 | 2 | [
"A056911",
"A392164",
"A392165"
] | null | Elijah Beregovsky, Jan 02 2026 | 2026-01-13T04:01:50 | oeisdata/seq/A392/A392165.seq | 3c7c037b984355722b518530ca2b1928 |
A392166 | The Dedekind psi function value of the smallest number whose square is divisible by n. | [
"1",
"3",
"4",
"3",
"6",
"12",
"8",
"6",
"4",
"18",
"12",
"12",
"14",
"24",
"24",
"6",
"18",
"12",
"20",
"18",
"32",
"36",
"24",
"24",
"6",
"42",
"12",
"24",
"30",
"72",
"32",
"12",
"48",
"54",
"48",
"12",
"38",
"60",
"56",
"36",
"42",
... | [
"nonn",
"mult",
"easy"
] | 8 | 1 | 2 | [
"A000113",
"A001615",
"A002117",
"A019554",
"A390752",
"A392085",
"A392166"
] | null | Amiram Eldar, Jan 02 2026 | 2026-01-03T04:38:51 | oeisdata/seq/A392/A392166.seq | d0bd1f276c0d4370ea7242c3cee9516f |
A392167 | The Dedekind psi function value of the smallest number whose cube is divisible by n. | [
"1",
"3",
"4",
"3",
"6",
"12",
"8",
"3",
"4",
"18",
"12",
"12",
"14",
"24",
"24",
"6",
"18",
"12",
"20",
"18",
"32",
"36",
"24",
"12",
"6",
"42",
"4",
"24",
"30",
"72",
"32",
"6",
"48",
"54",
"48",
"12",
"38",
"60",
"56",
"18",
"42",
... | [
"nonn",
"mult",
"easy"
] | 7 | 1 | 2 | [
"A001615",
"A013663",
"A019555",
"A390753",
"A392086",
"A392167"
] | null | Amiram Eldar, Jan 02 2026 | 2026-01-03T06:25:38 | oeisdata/seq/A392/A392167.seq | 444bbffc2c8362337d82aec46fdf4908 |
A392168 | The Dedekind psi function value of the smallest square divisible by n. | [
"1",
"6",
"12",
"6",
"30",
"72",
"56",
"24",
"12",
"180",
"132",
"72",
"182",
"336",
"360",
"24",
"306",
"72",
"380",
"180",
"672",
"792",
"552",
"288",
"30",
"1092",
"108",
"336",
"870",
"2160",
"992",
"96",
"1584",
"1836",
"1680",
"72",
"1406... | [
"nonn",
"mult",
"easy"
] | 8 | 1 | 2 | [
"A001615",
"A013661",
"A013662",
"A053143",
"A327171",
"A392087",
"A392168"
] | null | Amiram Eldar, Jan 02 2026 | 2026-01-03T04:38:23 | oeisdata/seq/A392/A392168.seq | ba850565ea92c266e52ddaf0d005443a |
A392169 | The Dedekind psi function value of the smallest cube divisible by n. | [
"1",
"12",
"36",
"12",
"150",
"432",
"392",
"12",
"36",
"1800",
"1452",
"432",
"2366",
"4704",
"5400",
"96",
"5202",
"432",
"7220",
"1800",
"14112",
"17424",
"12696",
"432",
"150",
"28392",
"36",
"4704",
"25230",
"64800",
"30752",
"96",
"52272",
"624... | [
"nonn",
"mult",
"easy"
] | 8 | 1 | 2 | [
"A001615",
"A002117",
"A013661",
"A013667",
"A053149",
"A390754",
"A392088",
"A392169"
] | null | Amiram Eldar, Jan 02 2026 | 2026-01-03T04:38:30 | oeisdata/seq/A392/A392169.seq | 1a09ea2bdc22e716e202f763c2d85675 |
A392170 | The Dedekind psi function value of the smallest powerful number that is a multiple of n. | [
"1",
"6",
"12",
"6",
"30",
"72",
"56",
"12",
"12",
"180",
"132",
"72",
"182",
"336",
"360",
"24",
"306",
"72",
"380",
"180",
"672",
"792",
"552",
"144",
"30",
"1092",
"36",
"336",
"870",
"2160",
"992",
"48",
"1584",
"1836",
"1680",
"72",
"1406"... | [
"nonn",
"mult",
"easy"
] | 9 | 1 | 2 | [
"A001615",
"A013661",
"A197863",
"A390755",
"A392089",
"A392170"
] | null | Amiram Eldar, Jan 02 2026 | 2026-01-03T04:38:27 | oeisdata/seq/A392/A392170.seq | 0d87639a352fcc40094a3712daad65a1 |
A392171 | The Dedekind psi function value of the smallest cubefull number that is a multiple of n. | [
"1",
"12",
"36",
"12",
"150",
"432",
"392",
"12",
"36",
"1800",
"1452",
"432",
"2366",
"4704",
"5400",
"24",
"5202",
"432",
"7220",
"1800",
"14112",
"17424",
"12696",
"432",
"150",
"28392",
"36",
"4704",
"25230",
"64800",
"30752",
"48",
"52272",
"624... | [
"nonn",
"mult",
"easy"
] | 10 | 1 | 2 | [
"A001615",
"A002117",
"A013661",
"A356193",
"A390756",
"A392090",
"A392171"
] | null | Amiram Eldar, Jan 02 2026 | 2026-01-03T04:38:37 | oeisdata/seq/A392/A392171.seq | 80fbdb1696a97e852c1657c455de2b59 |
A392172 | Number of regions formed when n points are placed in general position on each edge of a square and a chord is drawn from each point to the 3*n points on the other three sides. | [
"1",
"8",
"95",
"514",
"1721",
"4376",
"9343",
"17690",
"30689",
"49816",
"76751",
"113378",
"161785",
"224264",
"303311",
"401626",
"522113",
"667880",
"842239",
"1048706",
"1291001",
"1573048",
"1898975",
"2273114",
"2700001",
"3184376",
"3731183",
"4345570",
... | [
"nonn",
"easy"
] | 42 | 0 | 2 | [
"A255011",
"A331448",
"A331449",
"A331452",
"A334698",
"A366478",
"A366932",
"A367015",
"A367117",
"A367121",
"A367122",
"A392172",
"A392173",
"A392174"
] | null | Scott R. Shannon and N. J. A. Sloane, Jan 02 2026 | 2026-01-03T10:53:49 | oeisdata/seq/A392/A392172.seq | 164fd75168f8cfb6b6b941d8b3f26bc3 |
A392173 | Total number of vertices in the graph (see A392172) formed when n points are placed in general position on each edge of a square and a chord is drawn from each point to the 3*n points on the other three sides. | [
"4",
"9",
"82",
"475",
"1644",
"4249",
"9154",
"17427",
"30340",
"49369",
"76194",
"112699",
"160972",
"223305",
"302194",
"400339",
"520644",
"666217",
"840370",
"1046619",
"1288684",
"1570489",
"1896162",
"2270035",
"2696644",
"3180729",
"3727234",
"4341307",
... | [
"nonn",
"easy",
"changed"
] | 34 | 0 | 1 | [
"A331449",
"A334698",
"A365929",
"A392172",
"A392173",
"A392174"
] | null | Scott R. Shannon and N. J. A. Sloane, Jan 02 2026 | 2026-01-11T09:21:23 | oeisdata/seq/A392/A392173.seq | 489eb82ff7286e231ecc1ad8bca581dc |
A392174 | One-fourth of the total number of edges in the graph (see A392172) formed when n points are placed in general position on each edge of a square and a chord is drawn from each point to the 3*n points on the other three sides. | [
"1",
"4",
"44",
"247",
"841",
"2156",
"4624",
"8779",
"15257",
"24796",
"38236",
"56519",
"80689",
"111892",
"151376",
"200491",
"260689",
"333524",
"420652",
"523831",
"644921",
"785884",
"948784",
"1135787",
"1349161",
"1591276",
"1864604",
"2171719",
"25152... | [
"nonn",
"easy",
"changed"
] | 20 | 0 | 2 | [
"A331448",
"A366932",
"A367122",
"A392172",
"A392173",
"A392174"
] | null | Scott R. Shannon and N. J. A. Sloane, Jan 02 2026 | 2026-01-11T09:22:33 | oeisdata/seq/A392/A392174.seq | 56a4b1fa08093cd9bf6325aea6d3ea6e |
A392175 | a(n) = A375516(n) mod n+1. | [
"0",
"0",
"1",
"0",
"3",
"0",
"1",
"0",
"0",
"0",
"9",
"0",
"9",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"9",
"0",
"2",
"0",
"0",
"0",
"0",
"0"
] | [
"nonn",
"more",
"new"
] | 16 | 0 | 5 | [
"A374663",
"A375516",
"A375517",
"A392175"
] | null | N. J. A. Sloane, Jan 16 2026 | 2026-01-18T10:41:03 | oeisdata/seq/A392/A392175.seq | 4a2b0505a2b02ca10760f927fad8a5f8 |
A392184 | a(n) is the least k for which omega(k)*omega(k + 1)*omega(k + 2) = n where omega = A001221, or -1 if no such k exists. | [
"1",
"2",
"4",
"29",
"10",
"2309",
"28",
"1138829",
"20",
"130",
"2308",
"239378649509",
"68",
"461282657605769",
"570569",
"2728",
"208",
"3338236629672919864889",
"154"
] | [
"nonn",
"more"
] | 37 | 0 | 2 | [
"A001221",
"A002110",
"A075590",
"A391216",
"A392184"
] | null | Juri-Stepan Gerasimov, Jan 02 2026 | 2026-01-04T05:25:10 | oeisdata/seq/A392/A392184.seq | 0d4256e38a661b56d70afa8420f76592 |
A392187 | a(n) is the minimum determinant of an n X n circulant matrix whose rows are permutations of [1, 2, ..., n]. | [
"1",
"1",
"-3",
"18",
"-160",
"75",
"-41895",
"196",
"-26978400",
"0",
"-36843728625",
"726",
"-89802671542272",
"1183",
"-354379732734283200"
] | [
"sign",
"hard",
"more",
"new"
] | 22 | 0 | 3 | [
"A309257",
"A328030",
"A392131",
"A392187",
"A392188",
"A392189",
"A392191"
] | null | Stefano Spezia, Jan 03 2026 | 2026-01-05T15:15:58 | oeisdata/seq/A392/A392187.seq | 2c7891bc3906ac8096a97d21a8592806 |
A392188 | a(n) is the maximum permanent of an n X n circulant matrix whose rows are permutations of [1, 2, ..., n]. | [
"1",
"1",
"5",
"54",
"1090",
"33615",
"1550076",
"95989180",
"7973023112",
"828563312835",
"108437962790400",
"16996695656119410"
] | [
"nonn",
"hard",
"more",
"new"
] | 16 | 0 | 3 | [
"A328030",
"A392132",
"A392187",
"A392188",
"A392189",
"A392192"
] | null | Stefano Spezia, Jan 03 2026 | 2026-01-05T23:24:38 | oeisdata/seq/A392/A392188.seq | 11f4fd60f5c6212f4304c67050086433 |
A392189 | a(n) is the minimum permanent of an n X n circulant matrix whose rows are permutations of [1, 2, ..., n]. | [
"1",
"1",
"5",
"54",
"1060",
"33075",
"1509468",
"94606456",
"7798208776",
"817389953433",
"106236170581477",
"16767912191730722"
] | [
"nonn",
"hard",
"more",
"new"
] | 13 | 0 | 3 | [
"A328030",
"A392132",
"A392187",
"A392188",
"A392189",
"A392193"
] | null | Stefano Spezia, Jan 03 2026 | 2026-01-06T10:05:28 | oeisdata/seq/A392/A392189.seq | 602128c08366a91c775d729fb6f32c08 |
A392190 | a(n) is the maximum determinant of an n X n circulant matrix whose rows are permutations of [0, 1, 2, ..., n-1]. | [
"1",
"0",
"1",
"9",
"96",
"1550",
"29925",
"721329",
"20983200",
"743670396",
"30144868875",
"1421075678495",
"75986875920384"
] | [
"nonn",
"hard",
"more"
] | 18 | 0 | 4 | [
"A328030",
"A392131",
"A392187",
"A392190",
"A392191",
"A392192",
"A392193"
] | null | Stefano Spezia, Jan 03 2026 | 2026-01-04T20:42:51 | oeisdata/seq/A392/A392190.seq | 053bfa3b7efb9d50e2503fd2d21f501a |
A392191 | a(n) is the minimum determinant of an n X n circulant matrix whose rows are permutations of [0, 1, 2, ..., n-1]. | [
"1",
"0",
"-1",
"9",
"-96",
"50",
"-29925",
"147",
"-20983200",
"0",
"-30144868875",
"605"
] | [
"sign",
"hard",
"more"
] | 16 | 0 | 4 | [
"A084367",
"A392131",
"A392188",
"A392190",
"A392191",
"A392192",
"A392193"
] | null | Stefano Spezia, Jan 03 2026 | 2026-01-04T15:40:47 | oeisdata/seq/A392/A392191.seq | 0bf02ca0529102933669f78d9b3db9eb |
A392192 | a(n) is the maximum permanent of an n X n circulant matrix whose rows are permutations of [0, 1, 2, ..., n-1]. | [
"1",
"0",
"1",
"9",
"194",
"5370",
"248892",
"14510496",
"1214627720",
"122075319780",
"16054620982400",
"2466220453001965"
] | [
"nonn",
"hard",
"more",
"new"
] | 13 | 0 | 4 | [
"A392132",
"A392188",
"A392190",
"A392191",
"A392192",
"A392193"
] | null | Stefano Spezia, Jan 03 2026 | 2026-01-07T08:41:00 | oeisdata/seq/A392/A392192.seq | 3aa5a3454636aefcd7aa5f44eb964fa3 |
A392193 | a(n) is the minimum permanent of an n X n circulant matrix whose rows are permutations of [0, 1, 2, ..., n-1]. | [
"1",
"0",
"1",
"9",
"164",
"4930",
"222468",
"13846245",
"1133788866",
"118120672980",
"15268514307713",
"2398373104558453"
] | [
"nonn",
"hard",
"more",
"new"
] | 12 | 0 | 4 | [
"A392132",
"A392189",
"A392190",
"A392191",
"A392192",
"A392193"
] | null | Stefano Spezia, Jan 03 2026 | 2026-01-06T23:36:08 | oeisdata/seq/A392/A392193.seq | b3973a80307a3726c219f9b695ac092e |
A392196 | Number of vertices in successive convex layers of the positive octant of the three-dimensional integer grid. | [
"1",
"3",
"3",
"6",
"9",
"10",
"6",
"12",
"15",
"18",
"18",
"15",
"19",
"21",
"27",
"30",
"24",
"24",
"21",
"33",
"33",
"48",
"46",
"36",
"42",
"36",
"33",
"51",
"48",
"57",
"60",
"63",
"69",
"67",
"66",
"51",
"69",
"57",
"72",
"78",
"6... | [
"nonn",
"new"
] | 28 | 1 | 2 | [
"A292276",
"A293596",
"A392196"
] | null | Chittaranjan Pardeshi, Jan 03 2026 | 2026-01-17T18:04:39 | oeisdata/seq/A392/A392196.seq | 3c9a343c56c17eb98f3dcb8827af5d83 |
A392199 | Positive integers k such that gcd(k, sigma(k)) is prime. | [
"10",
"14",
"15",
"18",
"20",
"22",
"26",
"33",
"34",
"38",
"45",
"46",
"51",
"52",
"58",
"62",
"68",
"69",
"70",
"72",
"74",
"80",
"82",
"86",
"87",
"91",
"94",
"95",
"99",
"104",
"105",
"106",
"110",
"116",
"117",
"118",
"122",
"123",
"13... | [
"nonn",
"easy",
"new"
] | 24 | 1 | 1 | [
"A009194",
"A014567",
"A069059",
"A205523",
"A392199"
] | null | Aied Sulaiman, Jan 03 2026 | 2026-01-09T13:54:18 | oeisdata/seq/A392/A392199.seq | e747588e972882fb7e0daa6c7c997a62 |
A392201 | Positive k such that the quadratic Diophantine equation x^2 + y^2 + z^2 = k * (x*y - x*z + y*z) has nontrivial integer solutions. | [
"2",
"3",
"6",
"11",
"15",
"18",
"27",
"30",
"38",
"51",
"63",
"66",
"75",
"78",
"83",
"99",
"102",
"110",
"111",
"123",
"126",
"146",
"150",
"171",
"174",
"191",
"195",
"198",
"210",
"227",
"243",
"246",
"258",
"270",
"291",
"303",
"306",
"3... | [
"easy",
"nonn",
"new"
] | 26 | 1 | 1 | [
"A331605",
"A392201"
] | null | Michael Shmoish, Jan 03 2026 | 2026-01-16T13:53:37 | oeisdata/seq/A392/A392201.seq | 6181cfb4985ce310f867edd174eef4f6 |
A392202 | Decimal expansion of Product_{p prime >= 3} ((p - 1)^2 + 1)/((p - 1)^2 - 1). | [
"2",
"1",
"4",
"0",
"7",
"0",
"2",
"4",
"2",
"2",
"6",
"6",
"4",
"2",
"0",
"7",
"0",
"1",
"5",
"9",
"5",
"0",
"0",
"5",
"7",
"2",
"2",
"0",
"3",
"6",
"7",
"8",
"5",
"5",
"4",
"2",
"3",
"2",
"4",
"6",
"6",
"7",
"9",
"9",
"7",
"... | [
"nonn",
"cons"
] | 6 | 1 | 1 | [
"A005597",
"A376742",
"A392202"
] | null | Stefano Spezia, Jan 03 2026 | 2026-01-03T10:53:17 | oeisdata/seq/A392/A392202.seq | d75a642f747c87175a52057e17b68f2c |
A392203 | G.f. A(x) satisfies A(x - A(x)) = x^2 + x*A(x). | [
"1",
"3",
"17",
"131",
"1209",
"12603",
"143705",
"1757491",
"22757185",
"309200275",
"4379508569",
"64351215435",
"977255533513",
"15293433060851",
"246053862272561",
"4062182941958115",
"68709331512058329",
"1189147445297326075",
"21035145258308840825",
"379963541493964080211... | [
"nonn",
"new"
] | 12 | 2 | 2 | [
"A276370",
"A392203"
] | null | Paul D. Hanna, Jan 03 2026 | 2026-01-05T10:00:12 | oeisdata/seq/A392/A392203.seq | e2ea424b006c7a9c6fa091df1ec354c1 |
A392204 | G.f. A(x) satisfies A(x - A(x)) = x^2 + x^3. | [
"1",
"3",
"14",
"96",
"794",
"7450",
"76619",
"846161",
"9901282",
"121628550",
"1558078533",
"20710677095",
"284576031153",
"4030039735275",
"58681107235040",
"876865183372364",
"13425492683911543",
"210340847136666989",
"3368501389869814514",
"55089013701535075176",
"919307... | [
"nonn",
"new"
] | 13 | 2 | 2 | [
"A211794",
"A213591",
"A392203",
"A392204",
"A392205"
] | null | Paul D. Hanna, Jan 05 2026 | 2026-01-06T10:05:44 | oeisdata/seq/A392/A392204.seq | 17b89a7aa5e72c45b87d63fc69ef521d |
A392205 | G.f. A(x) satisfies A(x - A(x)) = x^3 + x^4. | [
"1",
"1",
"3",
"7",
"25",
"78",
"303",
"1104",
"4536",
"18174",
"78042",
"333204",
"1484446",
"6635245",
"30501324",
"141223812",
"666998868",
"3177455112",
"15366908520",
"74979351720",
"370318109661",
"1844809350815",
"9285027779942",
"47116445985240",
"241245182698... | [
"nonn",
"new"
] | 11 | 3 | 3 | [
"A392204",
"A392205"
] | null | Paul D. Hanna, Jan 05 2026 | 2026-01-06T10:05:47 | oeisdata/seq/A392/A392205.seq | 8d7abcfabb3660014de31d5d44fd337f |
A392207 | G.f. satisfies A(x) = A( x^3 + 2*x*A(x)^3 ) / A( x^2 + x*A(x)^2 ). | [
"1",
"1",
"2",
"7",
"27",
"119",
"548",
"2637",
"13026",
"65780",
"337707",
"1757578",
"9250051",
"49145958",
"263237032",
"1419895905",
"7706133564",
"42050981511",
"230576847319",
"1269803582041",
"7020248329269",
"38949655525029",
"216796208810075",
"1210253107814276... | [
"nonn",
"new"
] | 8 | 1 | 3 | null | null | Paul D. Hanna, Jan 12 2026 | 2026-01-14T10:38:23 | oeisdata/seq/A392/A392207.seq | 6768d46bbe4087eaefdf88e0e06bcc25 |
A392216 | Continued fraction expansion of 4/sqrt(phi) = A202142, where phi = (1 + sqrt(5)) / 2 is the golden ratio. | [
"3",
"6",
"1",
"10",
"1",
"4",
"2",
"2",
"1",
"2",
"5",
"1",
"4",
"1",
"4",
"2",
"2",
"19",
"2",
"1",
"2",
"1",
"51",
"3",
"5",
"1",
"2",
"7",
"1",
"2",
"3",
"1",
"1",
"2",
"10",
"1",
"2",
"1",
"7",
"1",
"9",
"1",
"8",
"14",
"5"... | [
"nonn",
"cofr",
"new"
] | 29 | 0 | 1 | [
"A202142",
"A392216"
] | null | Jani Melik, Jan 03 2026 | 2026-01-07T22:05:33 | oeisdata/seq/A392/A392216.seq | 093fea0fe0671694a3830d8b297f6189 |
A392217 | Irregular triangle read by rows: the n-th row gives the divisors of phi(n). | [
"1",
"1",
"1",
"2",
"1",
"2",
"1",
"2",
"4",
"1",
"2",
"1",
"2",
"3",
"6",
"1",
"2",
"4",
"1",
"2",
"3",
"6",
"1",
"2",
"4",
"1",
"2",
"5",
"10",
"1",
"2",
"4",
"1",
"2",
"3",
"4",
"6",
"12",
"1",
"2",
"3",
"6",
"1",
"2",
"4",
... | [
"nonn",
"easy",
"look",
"tabf",
"new"
] | 10 | 1 | 4 | [
"A000010",
"A000012",
"A027750",
"A062402",
"A392217",
"A392218"
] | null | Stefano Spezia, Jan 03 2026 | 2026-01-07T21:14:47 | oeisdata/seq/A392/A392217.seq | f25522f5403b0023cd386c700cea8153 |
A392218 | Product of the divisors of phi(n). | [
"1",
"1",
"2",
"2",
"8",
"2",
"36",
"8",
"36",
"8",
"100",
"8",
"1728",
"36",
"64",
"64",
"1024",
"36",
"5832",
"64",
"1728",
"100",
"484",
"64",
"8000",
"1728",
"5832",
"1728",
"21952",
"64",
"810000",
"1024",
"8000",
"1024",
"331776",
"1728",
... | [
"nonn",
"easy",
"new"
] | 10 | 1 | 3 | [
"A007955",
"A062402",
"A392217",
"A392218"
] | null | Stefano Spezia, Jan 03 2026 | 2026-01-08T02:57:01 | oeisdata/seq/A392/A392218.seq | 2c2a9e4743c5bced9aa3d3e92ef0d7d1 |
A392219 | Primes p such that the Chebyshev distance from 1 to p in the Ulam spiral is a prime number. | [
"11",
"13",
"17",
"19",
"23",
"29",
"31",
"37",
"41",
"43",
"47",
"83",
"89",
"97",
"101",
"103",
"107",
"109",
"113",
"173",
"179",
"181",
"191",
"193",
"197",
"199",
"211",
"223",
"443",
"449",
"457",
"461",
"463",
"467",
"479",
"487",
"491",... | [
"nonn",
"new"
] | 14 | 1 | 1 | [
"A284916",
"A284917",
"A383980",
"A389534",
"A392219"
] | null | Aitzaz Imtiaz, Jan 03 2026 | 2026-01-07T21:22:40 | oeisdata/seq/A392/A392219.seq | f88d429f41b6d40272c23464cdee04d3 |
A392220 | A modified Sisyphus function: a(n) = concatenation of (number of digits in n) (number of odd digits in n) (number of even digits in n). | [
"101",
"110",
"101",
"110",
"101",
"110",
"101",
"110",
"101",
"110",
"211",
"220",
"211",
"220",
"211",
"220",
"211",
"220",
"211",
"220",
"202",
"211",
"202",
"211",
"202",
"211",
"202",
"211",
"202",
"211",
"211",
"220",
"211",
"220",
"211",
"... | [
"nonn",
"base",
"easy",
"new"
] | 12 | 0 | 1 | [
"A055642",
"A073053",
"A171797",
"A196563",
"A196564",
"A308003",
"A308005",
"A392220",
"A392477"
] | null | Paolo Xausa, Jan 03 2026 | 2026-01-18T19:51:04 | oeisdata/seq/A392/A392220.seq | a69762bd051ff67574c00349afc64326 |
A392221 | Sum of depths of leaves in a complete binary tree with n nodes. | [
"0",
"1",
"2",
"3",
"5",
"6",
"8",
"9",
"12",
"13",
"16",
"17",
"20",
"21",
"24",
"25",
"29",
"30",
"34",
"35",
"39",
"40",
"44",
"45",
"49",
"50",
"54",
"55",
"59",
"60",
"64",
"65",
"70",
"71",
"76",
"77",
"82",
"83",
"88",
"89",
"94"... | [
"nonn",
"easy",
"new"
] | 39 | 1 | 3 | [
"A000523",
"A003314",
"A061168",
"A070941",
"A123753",
"A390616",
"A392221"
] | null | Kaloian Ivanov, Jan 03 2026 | 2026-01-18T21:47:05 | oeisdata/seq/A392/A392221.seq | 4ce44f0b64cb88dc4c89f28acae4911c |
A392222 | Let P(m,k) = 1-(m-1)*...*(m-k+1)/m^(k-1) be the probability that at least two out of k people share a birthday out of m possible days. Sequence gives values of m for which P(m,k(m)) sets a new minimum, where k(m) is the smallest k such that P(m,k) > 1/2. | [
"1",
"3",
"4",
"5",
"16",
"406",
"441",
"973",
"1256",
"2404",
"5426",
"7912",
"16172",
"22786",
"42151",
"66546",
"86722",
"109004",
"475301",
"1343503",
"1588016",
"3458805",
"3471453"
] | [
"nonn",
"more",
"new"
] | 9 | 1 | 2 | [
"A033810",
"A072829",
"A392222",
"A392223"
] | null | Pontus von Brömssen, Jan 04 2026 | 2026-01-08T10:52:33 | oeisdata/seq/A392/A392222.seq | 5140ee9cd97d5cb467e1d6c95f240a6a |
A392223 | Let P(m,k) = 1-(m-1)*...*(m-k+1)/m^(k-1) be the probability that at least two out of k people share a birthday out of m possible days. Sequence gives values of m for which P(m,k(m)) sets a new maximum, where k(m) = A033810(m)-1 is the largest k such that P(m,k) < 1/2. | [
"1",
"3",
"6",
"10",
"43",
"253",
"870",
"1317",
"14084",
"581349",
"1564557",
"3352229"
] | [
"nonn",
"more",
"new"
] | 7 | 1 | 2 | [
"A033810",
"A072829",
"A392222",
"A392223"
] | null | Pontus von Brömssen, Jan 04 2026 | 2026-01-08T10:44:08 | oeisdata/seq/A392/A392223.seq | 857c01e3319d13b5ba8e80d754f2a52e |
A392224 | A set of 46 squarefree numbers whose reciprocals add to a number that is close to 1, with the property that each number has exactly two distinct prime factors. | [
"6",
"10",
"14",
"15",
"21",
"22",
"26",
"33",
"34",
"35",
"38",
"39",
"46",
"51",
"55",
"57",
"58",
"62",
"65",
"69",
"74",
"77",
"82",
"85",
"87",
"91",
"93",
"95",
"111",
"123",
"133",
"143",
"155",
"161",
"187",
"203",
"209",
"221",
"24... | [
"nonn",
"fini",
"full",
"new"
] | 8 | 1 | 1 | [
"A334342",
"A392224"
] | null | Arkadiusz Wesolowski, Jan 03 2026 | 2026-01-09T16:23:55 | oeisdata/seq/A392/A392224.seq | dbbaf0443e102c5301fb0e5ff7d3ea67 |
A392225 | Concatenations x||1||x for numbers x. | [
"111",
"212",
"313",
"414",
"515",
"616",
"717",
"818",
"919",
"10110",
"11111",
"12112",
"13113",
"14114",
"15115",
"16116",
"17117",
"18118",
"19119",
"20120",
"21121",
"22122",
"23123",
"24124",
"25125",
"26126",
"27127",
"28128",
"29129",
"30130",
"311... | [
"nonn",
"base",
"easy",
"new"
] | 20 | 1 | 1 | [
"A392225",
"A392226",
"A392227",
"A392239"
] | null | Robert Israel, Jan 03 2026 | 2026-01-07T08:39:48 | oeisdata/seq/A392/A392225.seq | da2fe104f62b41f7f31666145bbee176 |
A392226 | Squares that are the concatenation of x, 1 and x for some x. | [
"69169",
"76176",
"12722025112722025",
"23671716123671716",
"26222400126222400",
"41494116141494116",
"50566689150566689",
"59910025159910025",
"71095881171095881",
"99716676199716676",
"111913916111119139161",
"310524204913105242049",
"371509802513715098025",
"1092055589539611092055589539... | [
"nonn",
"base",
"new"
] | 15 | 1 | 1 | [
"A000290",
"A392225",
"A392226"
] | null | Robert Israel, Jan 03 2026 | 2026-01-07T08:39:51 | oeisdata/seq/A392/A392226.seq | 8b2f877e618e75e0080544277d7ce4a9 |
A392227 | Primes that are the concatenation of x, 1 and x for some x. | [
"313",
"919",
"17117",
"21121",
"27127",
"29129",
"39139",
"41141",
"47147",
"51151",
"59159",
"71171",
"81181",
"87187",
"89189",
"1131113",
"1171117",
"1191119",
"1311131",
"1371137",
"1411141",
"1591159",
"1611161",
"1771177",
"1891189",
"2011201",
"2391239",
... | [
"nonn",
"base",
"new"
] | 14 | 1 | 1 | [
"A392225",
"A392226",
"A392227",
"A392239"
] | null | Robert Israel, Jan 03 2026 | 2026-01-07T08:39:39 | oeisdata/seq/A392/A392227.seq | 53a557b9d357ab1cc63b01b1305c31c5 |
A392228 | Array read by antidiagonals: Place k points in general position on each side of a regular n-gon and join every pair of the k*n boundary points by a chord; T(n,k) (n >= 3, k >= 0) gives the number of regions in the resulting planar graph. | [
"1",
"4",
"1",
"28",
"8",
"1",
"136",
"95",
"16",
"1",
"445",
"514",
"251",
"31",
"1",
"1126",
"1721",
"1396",
"556",
"57",
"1",
"2404",
"4376",
"4681",
"3106",
"1086",
"99",
"1",
"4558",
"9343",
"11876",
"10381",
"6049",
"1933",
"163",
"1",
"7... | [
"nonn",
"tabl",
"changed"
] | 35 | 3 | 2 | [
"A367015",
"A367323",
"A392172",
"A392228",
"A392261",
"A392282"
] | null | Scott R. Shannon and N. J. A. Sloane, Jan 04 2026 | 2026-01-09T23:25:28 | oeisdata/seq/A392/A392228.seq | 5fb72a5e824defcc41c9307712b0051a |
A392229 | Index of first occurrence of n in A391449. | [
"1",
"4",
"7",
"12",
"17",
"16",
"22",
"28",
"74",
"31",
"40",
"43",
"46",
"52",
"58",
"61",
"67",
"71",
"72",
"79",
"82",
"88",
"96",
"100",
"103",
"106",
"108",
"112",
"130",
"127",
"136",
"149",
"148",
"151",
"157",
"162",
"166",
"172",
... | [
"nonn",
"new"
] | 9 | 0 | 2 | [
"A002378",
"A055932",
"A059957",
"A141399",
"A252489",
"A391449",
"A391602",
"A391885",
"A391970",
"A392229"
] | null | Jean-Marc Rebert, Jan 04 2026 | 2026-01-08T13:48:40 | oeisdata/seq/A392/A392229.seq | 666c57ff07d6da4435e1c16f6bb249c0 |
A392230 | Decimal expansion of log(5/4). | [
"2",
"2",
"3",
"1",
"4",
"3",
"5",
"5",
"1",
"3",
"1",
"4",
"2",
"0",
"9",
"7",
"5",
"5",
"7",
"6",
"6",
"2",
"9",
"5",
"0",
"9",
"0",
"3",
"0",
"9",
"8",
"3",
"4",
"5",
"0",
"3",
"3",
"7",
"4",
"6",
"0",
"1",
"0",
"8",
"5",
"... | [
"nonn",
"cons",
"easy",
"new"
] | 8 | 0 | 1 | [
"A002162",
"A016627",
"A016628",
"A019669",
"A392230"
] | null | Stefano Spezia, Jan 04 2026 | 2026-01-05T10:00:08 | oeisdata/seq/A392/A392230.seq | db0d56d4c67b6e78ca7680b333e708a7 |
A392231 | Positive integers (not multiples of 10) whose constant congruence speed is smaller than the product of the constant congruence speeds of all their prime factors (see A373387 for the definition of "constant congruence speed"). | [
"14",
"21",
"25",
"28",
"35",
"42",
"49",
"56",
"63",
"75",
"77",
"84",
"86",
"91",
"98",
"105",
"112",
"119",
"125",
"129",
"133",
"147",
"154",
"161",
"172",
"175",
"189",
"196",
"202",
"203",
"214",
"215",
"217",
"231",
"238",
"245",
"252",
... | [
"nonn",
"base",
"new"
] | 6 | 1 | 1 | [
"A317905",
"A373387",
"A389432",
"A389979",
"A389980",
"A389981",
"A392231"
] | null | Gabriele Di Pietro and Marco Ripà, Jan 04 2026 | 2026-01-08T13:44:04 | oeisdata/seq/A392/A392231.seq | ef0e8bb095b9bc63113a2dd7ddb3a0eb |
A392232 | Numbers k for which omega(k)*omega(k + 1)*omega(k + 2)*omega(k + 3)*omega(k + 4) = 4 where omega = A001221. | [
"6",
"8",
"9",
"13",
"15",
"16",
"23",
"25",
"79"
] | [
"nonn",
"more",
"new"
] | 13 | 1 | 1 | [
"A001221",
"A006549",
"A391044",
"A391216",
"A392184",
"A392232"
] | null | Juri-Stepan Gerasimov, Jan 04 2026 | 2026-01-08T14:22:36 | oeisdata/seq/A392/A392232.seq | 162cbc41b7df5e780fa0829bda47fa6a |
A392233 | Composite numbers (not multiples of 10) whose constant congruence speed equals the product of the constant congruence speeds of all their prime factors. | [
"4",
"6",
"8",
"9",
"12",
"16",
"22",
"27",
"33",
"34",
"36",
"38",
"39",
"44",
"45",
"46",
"48",
"52",
"54",
"58",
"62",
"64",
"66",
"69",
"72",
"78",
"81",
"85",
"87",
"88",
"92",
"94",
"96",
"102",
"104",
"106",
"108",
"111",
"114",
"1... | [
"nonn",
"base",
"new"
] | 13 | 1 | 1 | [
"A067251",
"A317905",
"A373387",
"A389432",
"A389979",
"A389980",
"A389981",
"A392233"
] | null | Gabriele Di Pietro and Marco Ripà, Jan 04 2026 | 2026-01-08T17:45:15 | oeisdata/seq/A392/A392233.seq | 15cfe44d5fbbfe4d4b2465e089c9b50b |
A392235 | 11-rough abundant numbers. | [
"49061132957714428902152118459264865645885092682687973",
"49777353876805150491964558144801579012978305714552031",
"53358458472258758441026756572485145848444370873872321",
"53696830560018154467709798943604852951008093566091561",
"54074679391349480030839196258021859215537583905736379"
] | [
"nonn",
"new"
] | 14 | 1 | 1 | [
"A005101",
"A005231",
"A008364",
"A115414",
"A343357",
"A392235"
] | null | Donghwi Park, Jan 04 2026 | 2026-01-08T21:41:48 | oeisdata/seq/A392/A392235.seq | 426dd44dd3b00ecf2b0f2e3150114302 |
A392237 | Number of maximal irredundant sets in the n-double cone graph. | [
"1",
"5",
"10",
"37",
"101",
"122",
"197",
"197",
"901",
"3845",
"4357",
"9802",
"20450",
"44945",
"117650",
"228485",
"485810",
"984065",
"2253002",
"5044517",
"10569002",
"22810177",
"48566962",
"105740090",
"231344101",
"497156210",
"1071056530",
"2302464257"... | [
"nonn",
"easy",
"new"
] | 24 | 1 | 2 | [
"A286954",
"A291063",
"A391917",
"A392237"
] | null | Eric W. Weisstein, Jan 04 2026 | 2026-01-13T16:15:02 | oeisdata/seq/A392/A392237.seq | 50f0a9f8f45ebf120f5c9efed27f25aa |
A392238 | Number of maximal irredundant sets in the n-trapezohedral graph. | [
"12",
"39",
"103",
"256",
"521",
"1071",
"2091",
"4137",
"8209",
"16416",
"33244",
"67347"
] | [
"nonn",
"more",
"new"
] | 7 | 3 | 1 | null | null | Eric W. Weisstein, Jan 04 2026 | 2026-01-13T08:07:16 | oeisdata/seq/A392/A392238.seq | 759dd87444149e2789e70f8f2bac32b0 |
A392239 | a(n) is the least number with exactly n prime factors, counted with multiplicity, that is the concatenation of x, 1, and x for some x. | [
"313",
"111",
"212",
"414",
"616",
"40140",
"28128",
"76176",
"1841184",
"60160",
"4001400",
"9201920",
"126411264",
"6641664",
"280012800",
"11614111614",
"894418944",
"40288140288",
"74080174080",
"24928124928",
"4827521482752",
"2206081220608",
"196032011960320",
"74... | [
"nonn",
"base",
"new"
] | 10 | 1 | 1 | [
"A001222",
"A392225",
"A392226",
"A392227",
"A392239"
] | null | Robert Israel, Jan 04 2026 | 2026-01-07T08:39:34 | oeisdata/seq/A392/A392239.seq | f5e383ab264515d30a8cc541a44cd1ef |
A392240 | Largest prime factor of 6*n+1. | [
"7",
"13",
"19",
"5",
"31",
"37",
"43",
"7",
"11",
"61",
"67",
"73",
"79",
"17",
"13",
"97",
"103",
"109",
"23",
"11",
"127",
"19",
"139",
"29",
"151",
"157",
"163",
"13",
"7",
"181",
"17",
"193",
"199",
"41",
"211",
"31",
"223",
"229",
"47... | [
"nonn",
"easy",
"new"
] | 14 | 1 | 1 | [
"A006530",
"A016921",
"A107744",
"A231233",
"A392240"
] | null | Alain Rocchelli, Jan 04 2026 | 2026-01-13T13:52:02 | oeisdata/seq/A392/A392240.seq | 3317050318c3535d949a5602b0f50569 |
A392241 | a(n) is the 10^n-th term of A389544. | [
"2",
"13",
"112",
"1039",
"101188",
"100358",
"1001095",
"10003376",
"100010472"
] | [
"nonn",
"hard",
"more",
"new"
] | 22 | 0 | 1 | [
"A389544",
"A390848",
"A392241"
] | null | Michael S. Branicky, Jan 04 2026 | 2026-01-18T14:14:44 | oeisdata/seq/A392/A392241.seq | 0ff54008f797a14e4fc5cdcc577a21d9 |
A392243 | a(n) = Sum_{i=1..n} i*(-1)^ceiling(sqrt(i)). | [
"-1",
"1",
"4",
"8",
"3",
"-3",
"-10",
"-18",
"-27",
"-17",
"-6",
"6",
"19",
"33",
"48",
"64",
"47",
"29",
"10",
"-10",
"-31",
"-53",
"-76",
"-100",
"-125",
"-99",
"-72",
"-44",
"-15",
"15",
"46",
"78",
"111",
"145",
"180",
"216",
"179",
"141... | [
"sign",
"easy",
"new"
] | 46 | 1 | 3 | [
"A000196",
"A000217",
"A000290",
"A000578",
"A053186",
"A392243"
] | null | Dwight Boddorf, Jan 04 2026 | 2026-01-13T08:04:45 | oeisdata/seq/A392/A392243.seq | 53dea0a5308455e8a864eb4d62d703c0 |
A392244 | Number of primes of the form b^2 + (b+1)^2 for b <= 10^n. | [
"1",
"6",
"36",
"225",
"1645",
"12706",
"104894",
"892723",
"7755330",
"68588950",
"614983774",
"5573589175"
] | [
"nonn",
"hard",
"more",
"new"
] | 30 | 0 | 2 | [
"A006880",
"A027861",
"A199401",
"A206709",
"A331941",
"A392244"
] | null | Hermann Stamm-Wilbrandt, Jan 04 2026 | 2026-01-12T15:59:48 | oeisdata/seq/A392/A392244.seq | 509037624214e0ff63984cb9ed24eade |
A392246 | Smallest prime number whose decimal digits include the consecutive pattern 0, 1, 2, ..., n. | [
"101",
"101",
"20123",
"20123",
"3012343",
"10123457",
"201234563",
"401234567",
"50123456783",
"100123456789",
"101234567891071",
"1012345678910119",
"101234567891011123",
"1012345678910111213",
"10123456789101112131421",
"101234567891011121314157",
"100123456789101112131415163",
... | [
"nonn",
"base",
"new"
] | 16 | 0 | 1 | [
"A007908",
"A053546",
"A058183",
"A176942",
"A392041",
"A392246"
] | null | Jean-Marc Rebert, Jan 04 2026 | 2026-01-08T19:32:36 | oeisdata/seq/A392/A392246.seq | ccaf1043c96c39e58bab719f6b27b49c |
A392247 | Number of inequivalent chord diagrams on 8n points with 4n chords of distinct lengths 1, 2, ..., 4n. | [
"1",
"192",
"456960",
"4377344000"
] | [
"nonn",
"more",
"new"
] | 25 | 1 | 2 | [
"A000931",
"A001147",
"A390360",
"A392247"
] | null | Paul Sampson, Jan 04 2026 | 2026-01-12T14:50:09 | oeisdata/seq/A392/A392247.seq | f4b0f09a244b10a639f2f246edca5e13 |
A392248 | Array read by antidiagonals: A(n, k) is the maximum number of whole unit squares under the polygonal path (i, h_k(v_i)), associated to a k-dimensional ballot path, n >= 1, k >= 2. | [
"0",
"2",
"2",
"6",
"8",
"6",
"12",
"18",
"20",
"14",
"20",
"32",
"42",
"40",
"26",
"30",
"50",
"72",
"78",
"70",
"44",
"42",
"72",
"110",
"128",
"132",
"112",
"68",
"56",
"98",
"156",
"190",
"212",
"204",
"168",
"100",
"72",
"128",
"210",
... | [
"nonn",
"tabl",
"new"
] | 57 | 1 | 2 | [
"A000108",
"A001105",
"A002378",
"A002620",
"A057571",
"A208375",
"A212964",
"A391993",
"A391994",
"A391995",
"A392248"
] | null | Ryota Inagaki and Dimana Pramatarova, Jan 04 2026 | 2026-01-17T23:11:32 | oeisdata/seq/A392/A392248.seq | bbd97df5578c35c3ae0ebce63825edfe |
A392249 | Numbers k such that k-1 is a perfect square and k+1 is prime. | [
"1",
"2",
"10",
"82",
"226",
"442",
"1090",
"1522",
"2026",
"3250",
"6562",
"9802",
"11026",
"12322",
"13690",
"15130",
"21610",
"29242",
"47962",
"50626",
"56170",
"59050",
"62002",
"65026",
"74530",
"88210",
"91810",
"95482",
"103042",
"119026",
"123202"... | [
"nonn",
"new"
] | 23 | 1 | 2 | [
"A067201",
"A163492",
"A392249"
] | null | Andi Fugard, Jan 04 2026 | 2026-01-09T16:28:12 | oeisdata/seq/A392/A392249.seq | cfb3ee0eb6676ad8587a290c4bf69458 |
A392250 | a(n) = Sum_{k=0..floor(n/2)} binomial(k,2*(n-2*k)). | [
"1",
"0",
"1",
"0",
"1",
"1",
"1",
"3",
"1",
"6",
"2",
"10",
"6",
"15",
"16",
"22",
"36",
"35",
"71",
"64",
"128",
"129",
"220",
"265",
"376",
"529",
"661",
"1013",
"1211",
"1873",
"2290",
"3394",
"4382",
"6126",
"8347",
"11148",
"15706",
"20... | [
"nonn",
"new"
] | 22 | 0 | 8 | [
"A005251",
"A005676",
"A062200",
"A385142",
"A391265",
"A391399",
"A392250",
"A392251",
"A392252"
] | null | Seiichi Manyama, Jan 04 2026 | 2026-01-06T22:12:48 | oeisdata/seq/A392/A392250.seq | 520f48566ccfac748719ec6309c0cb90 |
A392251 | a(n) = Sum_{k=0..floor(n/2)} (k+1) * binomial(k,2*(n-2*k)). | [
"1",
"0",
"2",
"0",
"3",
"3",
"4",
"12",
"5",
"30",
"11",
"60",
"37",
"105",
"113",
"175",
"289",
"308",
"640",
"612",
"1280",
"1335",
"2412",
"2970",
"4468",
"6413",
"8429",
"13236",
"16460",
"26247",
"33062",
"50729",
"67084",
"97135",
"135283",
... | [
"nonn",
"new"
] | 21 | 0 | 3 | [
"A391962",
"A392076",
"A392250",
"A392251",
"A392252",
"A392267",
"A392268"
] | null | Seiichi Manyama, Jan 04 2026 | 2026-01-06T22:12:53 | oeisdata/seq/A392/A392251.seq | 619c48197a6f5a2d3e76b38a437760ad |
A392252 | a(n) = Sum_{k=0..floor(n/2)} binomial(k+2,2) * binomial(k,2*(n-2*k)). | [
"1",
"0",
"3",
"0",
"6",
"6",
"10",
"30",
"15",
"90",
"36",
"210",
"133",
"420",
"456",
"784",
"1305",
"1512",
"3205",
"3240",
"7041",
"7590",
"14433",
"18150",
"28801",
"42108",
"58020",
"93132",
"120240",
"197106",
"255482",
"404670",
"547518",
"81... | [
"nonn",
"new"
] | 21 | 0 | 3 | [
"A391963",
"A392250",
"A392251",
"A392252",
"A392269",
"A392270"
] | null | Seiichi Manyama, Jan 04 2026 | 2026-01-06T22:13:07 | oeisdata/seq/A392/A392252.seq | 09973986f5943f24f4f482b10fe536c3 |
A392253 | a(n) = Sum_{k=0..floor(n/2)} binomial(k,3*(n-2*k)). | [
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"1",
"1",
"4",
"1",
"10",
"1",
"20",
"2",
"35",
"8",
"56",
"29",
"84",
"85",
"121",
"211",
"175",
"463",
"275",
"925",
"506",
"1718",
"1079",
"3017",
"2457",
"5097",
"5565",
"8464",
"12121",
"14197",
"25142"... | [
"nonn",
"new"
] | 20 | 0 | 10 | [
"A003522",
"A178618",
"A293169",
"A392253",
"A392254",
"A392255",
"A392271",
"A392272",
"A392273"
] | null | Seiichi Manyama, Jan 04 2026 | 2026-01-06T22:12:43 | oeisdata/seq/A392/A392253.seq | c1467666a5954fc82996458892fbeecd |
A392254 | a(n) = Sum_{k=0..floor(n/2)} (k+1) * binomial(k,3*(n-2*k)). | [
"1",
"0",
"2",
"0",
"3",
"0",
"4",
"4",
"5",
"20",
"6",
"60",
"7",
"140",
"15",
"280",
"65",
"504",
"262",
"840",
"851",
"1330",
"2322",
"2090",
"5557",
"3520",
"12026",
"6864",
"24052",
"15470",
"45243",
"37310",
"81462",
"89600",
"143434",
"206... | [
"nonn",
"new"
] | 14 | 0 | 3 | [
"A178618",
"A392044",
"A392253",
"A392254",
"A392255"
] | null | Seiichi Manyama, Jan 04 2026 | 2026-01-05T09:35:55 | oeisdata/seq/A392/A392254.seq | 77ce8cb5659e8d220662cd8ac0576d7f |
A392255 | a(n) = Sum_{k=0..floor(n/2)} binomial(k+2,2) * binomial(k,3*(n-2*k)). | [
"1",
"0",
"3",
"0",
"6",
"0",
"10",
"10",
"15",
"60",
"21",
"210",
"28",
"560",
"64",
"1260",
"297",
"2520",
"1315",
"4620",
"4686",
"7975",
"13938",
"13530",
"36127",
"24310",
"84189",
"50050",
"180391",
"118755",
"361861",
"302120",
"691753",
"7663... | [
"nonn",
"new"
] | 13 | 0 | 3 | [
"A178618",
"A392253",
"A392254",
"A392255"
] | null | Seiichi Manyama, Jan 04 2026 | 2026-01-05T09:35:50 | oeisdata/seq/A392/A392255.seq | ade59269e3d51abd03dc3b9fc3ffdec2 |
A392256 | a(n) is the conjectured largest number such that both a(n) and a(n) - n are 11-smooth numbers, or 0 if no such number exists. a(n) can be less than n. | [
"9801",
"19602",
"29403",
"39204",
"49005",
"58806",
"68607",
"78408",
"88209",
"98010",
"107811",
"117612",
"151263",
"137214",
"147015",
"156816",
"5120",
"176418",
"43923",
"196020",
"205821",
"215622",
"3773",
"235224",
"245025",
"302526",
"264627",
"274428"... | [
"nonn",
"new"
] | 39 | 1 | 1 | [
"A051038",
"A392256"
] | null | Zhicheng Wei, Jan 04 2026 | 2026-01-18T17:35:34 | oeisdata/seq/A392/A392256.seq | 811d0d6397d0e2bde41948cbebe61d20 |
A392258 | Numerators of the convergents given by treating A391217 as continued fraction coefficients after the leading 0. | [
"1",
"2",
"3",
"11",
"14",
"67",
"148",
"215",
"1223",
"1438",
"9851",
"21140",
"30991",
"114113",
"145104",
"1129841",
"1274945",
"11329401",
"23933747",
"35263148",
"164986339",
"200249487",
"765734800",
"1731719087",
"2497453887",
"24208804070",
"26706257957",
... | [
"nonn",
"frac",
"new"
] | 9 | 1 | 2 | [
"A086702",
"A391217",
"A392258",
"A392259"
] | null | Jwalin Bhatt, Jan 05 2026 | 2026-01-09T13:22:09 | oeisdata/seq/A392/A392258.seq | 124411aee1961ac27402a59470fcc108 |
A392259 | Denominators of the convergents given by treating A391217 as continued fraction coefficients after the leading 0. | [
"1",
"3",
"4",
"15",
"19",
"91",
"201",
"292",
"1661",
"1953",
"13379",
"28711",
"42090",
"154981",
"197071",
"1534478",
"1731549",
"15386870",
"32505289",
"47892159",
"224073925",
"271966084",
"1039972177",
"2351910438",
"3391882615",
"32878853973",
"36270736588"... | [
"nonn",
"frac",
"new"
] | 8 | 1 | 2 | [
"A086702",
"A391217",
"A392258",
"A392259"
] | null | Jwalin Bhatt, Jan 05 2026 | 2026-01-09T13:21:35 | oeisdata/seq/A392/A392259.seq | 03dcb23a728e7097700e2c23cb90e125 |
A392261 | Array read by antidiagonals: Place k points in general position on each side of a regular n-gon and join every pair of the k*n boundary points by a chord; T(n,k) (n >= 3, k >= 0) gives the number of vertices in the resulting planar graph. | [
"3",
"6",
"4",
"24",
"9",
"5",
"120",
"82",
"15",
"6",
"411",
"475",
"225",
"27",
"7",
"1068",
"1644",
"1325",
"513",
"49",
"8",
"2316",
"4249",
"4545",
"2994",
"1022",
"86",
"9",
"4434",
"9154",
"11655",
"10170",
"5887",
"1844",
"144",
"10",
"... | [
"nonn",
"tabl",
"new"
] | 13 | 3 | 1 | [
"A366478",
"A367322",
"A392173",
"A392228",
"A392261",
"A392282"
] | null | Scott R. Shannon and N. J. A. Sloane, Jan 05 2026 | 2026-01-09T23:25:34 | oeisdata/seq/A392/A392261.seq | ee666877779f5fc73897ead213115ea3 |
A392262 | Even composite numbers that are squarefree or powers of 2. | [
"4",
"6",
"8",
"10",
"14",
"16",
"22",
"26",
"30",
"32",
"34",
"38",
"42",
"46",
"58",
"62",
"64",
"66",
"70",
"74",
"78",
"82",
"86",
"94",
"102",
"106",
"110",
"114",
"118",
"122",
"128",
"130",
"134",
"138",
"142",
"146",
"154",
"158",
"... | [
"nonn",
"new"
] | 16 | 1 | 1 | [
"A000079",
"A001221",
"A001222",
"A039956",
"A388427",
"A390760",
"A392262"
] | null | Charles Kusniec, Jan 05 2026 | 2026-01-13T10:57:09 | oeisdata/seq/A392/A392262.seq | 60c2ccc487cc1dc58df17983eaed70fc |
A392263 | Numbers k such that sigma(k) = psi(k) + tau(k) + omega(k)^3. | [
"52",
"117",
"325",
"637",
"1573",
"3757",
"4693",
"6877",
"10933",
"12493",
"17797",
"21853",
"24037",
"28717",
"36517",
"45253",
"48373",
"58357",
"65533",
"69277",
"81133",
"89557",
"102973",
"122317",
"132613",
"137917",
"148837",
"154453",
"165997",
"20... | [
"nonn",
"new"
] | 6 | 1 | 1 | [
"A000005",
"A000203",
"A001221",
"A001615",
"A386637",
"A392263"
] | null | S. I. Dimitrov, Jan 05 2026 | 2026-01-09T14:06:26 | oeisdata/seq/A392/A392263.seq | 3a8d5ae2b56a13dc00777a6bff8d8e06 |
A392266 | a(n) = (3^n + 2*n*3^(n-1) - 1)/4. | [
"0",
"1",
"5",
"20",
"74",
"263",
"911",
"3098",
"10388",
"34445",
"113177",
"369056",
"1195742",
"3852947",
"12356003",
"39459494",
"125552936",
"398182169",
"1259116589",
"3971060012",
"12494310770",
"39226324511",
"122909150135",
"384417980210",
"1200325530044",
... | [
"nonn",
"easy",
"new"
] | 8 | 0 | 3 | [
"A006234",
"A261064",
"A392266"
] | null | Enrique Navarrete, Jan 05 2026 | 2026-01-09T16:30:16 | oeisdata/seq/A392/A392266.seq | fd8a3b062856a8cb799750a7e4b36e95 |
A392267 | a(n) = Sum_{k=0..floor(2*n/3)} (k+1) * binomial(k,2*n-3*k). | [
"1",
"0",
"2",
"3",
"3",
"12",
"9",
"30",
"35",
"67",
"111",
"161",
"296",
"420",
"728",
"1103",
"1764",
"2802",
"4313",
"6897",
"10588",
"16691",
"25830",
"40137",
"62365",
"96225",
"149235",
"229840",
"354936",
"546400",
"840653",
"1292760",
"1984226... | [
"nonn",
"new"
] | 19 | 0 | 3 | [
"A391962",
"A392251",
"A392267",
"A392268"
] | null | Seiichi Manyama, Jan 05 2026 | 2026-01-16T10:00:26 | oeisdata/seq/A392/A392267.seq | 5692315b6b64c083688edcbbba080fe5 |
A392268 | a(n) = Sum_{k=0..floor(2*n/5)} (k+1) * binomial(k,2*n-5*k). | [
"1",
"0",
"0",
"2",
"0",
"3",
"3",
"0",
"12",
"4",
"5",
"30",
"5",
"30",
"60",
"13",
"105",
"105",
"63",
"280",
"177",
"260",
"630",
"342",
"849",
"1271",
"855",
"2320",
"2442",
"2475",
"5568",
"4818",
"7095",
"12206",
"10439",
"18891",
"25402"... | [
"nonn",
"new"
] | 17 | 0 | 4 | [
"A391962",
"A392251",
"A392267",
"A392268"
] | null | Seiichi Manyama, Jan 05 2026 | 2026-01-16T10:43:40 | oeisdata/seq/A392/A392268.seq | 49e4c2f5d4fa353070782a9965aa50b0 |
A392269 | a(n) = Sum_{k=0..floor(2*n/3)} binomial(k+2,2) * binomial(k,2*n-3*k). | [
"1",
"0",
"3",
"6",
"6",
"30",
"25",
"90",
"120",
"238",
"441",
"672",
"1333",
"2016",
"3681",
"5946",
"9945",
"16698",
"26876",
"45012",
"72216",
"118524",
"191178",
"308346",
"497559",
"795318",
"1276752",
"2033294",
"3242088",
"5150502",
"8166487",
"1... | [
"nonn",
"easy",
"new"
] | 23 | 0 | 3 | [
"A062200",
"A391963",
"A392252",
"A392267",
"A392269",
"A392270"
] | null | Seiichi Manyama, Jan 05 2026 | 2026-01-12T17:53:34 | oeisdata/seq/A392/A392269.seq | 14ed28cfa7c5e38ebe717faf6ab0642f |
A392270 | a(n) = Sum_{k=0..floor(2*n/5)} binomial(k+2,2) * binomial(k,2*n-5*k). | [
"1",
"0",
"0",
"3",
"0",
"6",
"6",
"0",
"30",
"10",
"15",
"90",
"15",
"105",
"210",
"49",
"420",
"420",
"280",
"1260",
"801",
"1296",
"3150",
"1755",
"4665",
"6996",
"4950",
"13915",
"14718",
"15840",
"36193",
"31746",
"49335",
"85527",
"75075",
... | [
"nonn",
"new"
] | 16 | 0 | 4 | [
"A391963",
"A392252",
"A392269",
"A392270"
] | null | Seiichi Manyama, Jan 05 2026 | 2026-01-07T04:22:43 | oeisdata/seq/A392/A392270.seq | 7e0597304959f8a404cf15c4fcb8a8b6 |
A392271 | a(n) = Sum_{k=0..floor(3*n/5)} binomial(k,3*n-5*k). | [
"1",
"0",
"1",
"0",
"1",
"1",
"1",
"4",
"1",
"10",
"2",
"20",
"8",
"35",
"29",
"57",
"85",
"94",
"211",
"175",
"464",
"385",
"938",
"935",
"1808",
"2289",
"3459",
"5385",
"6826",
"12031",
"14198",
"25686",
"30960",
"53176",
"69143",
"108699",
"... | [
"nonn",
"new"
] | 20 | 0 | 8 | [
"A003522",
"A017837",
"A107025",
"A373963",
"A392253",
"A392271",
"A392272",
"A392273"
] | null | Seiichi Manyama, Jan 05 2026 | 2026-01-07T04:22:40 | oeisdata/seq/A392/A392271.seq | f31fcb6d62953ee4d57a4968355ca80a |
A392272 | a(n) = Sum_{k=0..floor(3*n/8)} binomial(k,3*n-8*k). | [
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"4",
"1",
"0",
"10",
"1",
"1",
"20",
"1",
"7",
"35",
"1",
"28",
"56",
"2",
"84",
"84",
"11",
"210",
"120",
"56",
"462",
"166",
"221",
"924",
"233",
"716",
"1716",
"377",
"2003",
"30... | [
"nonn",
"new"
] | 18 | 0 | 12 | [
"A003522",
"A373640",
"A392253",
"A392271",
"A392272",
"A392273"
] | null | Seiichi Manyama, Jan 05 2026 | 2026-01-07T04:22:36 | oeisdata/seq/A392/A392272.seq | a2f8f3c21853de52efd05a29e83bb23c |
A392273 | a(n) = Sum_{k=0..floor(n/3)} binomial(k,3*n-9*k). | [
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"1",
"4",
"0",
"1",
"10",
"0",
"1",
"20",
"1",
"1",
"35",
"7",
"1",
"56",
"28",
"1",
"84",
"84",
"2",
"120",
"210",
"11",
"165",
"462",
"56",
"220",
"924",
"221",
"287",
"171... | [
"nonn",
"new"
] | 17 | 0 | 14 | [
"A003522",
"A178618",
"A392253",
"A392271",
"A392272",
"A392273"
] | null | Seiichi Manyama, Jan 05 2026 | 2026-01-07T04:22:33 | oeisdata/seq/A392/A392273.seq | 6eda992c20f10339281163a421b45f57 |
A392274 | Number of length n words over the alphabet [5] such that any prefix satisfies #1 >= #2, #1 >= #3, #2 >= #4, #3 >= #5, and #4 >= #5, where #i is the number of occurrences of the letter i. | [
"1",
"1",
"3",
"8",
"23",
"73",
"246",
"867",
"3166",
"11839",
"45785",
"179579",
"717113",
"2908753",
"11954189",
"49750400",
"208980669",
"885742796",
"3787356399",
"16314829868",
"70763117954",
"308802296807",
"1355046242737",
"5978469864061",
"26504591207399",
"... | [
"nonn",
"new"
] | 17 | 0 | 3 | [
"A000351",
"A006966",
"A384725",
"A391270",
"A392274"
] | null | John Tyler Rascoe, Jan 05 2026 | 2026-01-10T19:51:52 | oeisdata/seq/A392/A392274.seq | 5283e971ecea101e7dd9301554686828 |
A392275 | The maximum exponent in the prime factorization of the smallest number whose cube is divisible by n. | [
"0",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"... | [
"nonn",
"easy",
"new"
] | 9 | 1 | 16 | [
"A008620",
"A019555",
"A043289",
"A051903",
"A053149",
"A053164",
"A063775",
"A203640",
"A295658",
"A365333",
"A375359",
"A384914",
"A392275",
"A392276",
"A392277"
] | null | Amiram Eldar, Jan 06 2026 | 2026-01-06T10:06:14 | oeisdata/seq/A392/A392275.seq | e41cee8c5db2cd5ada3349a37148175b |
A392276 | The maximum exponent in the prime factorization of the square root of the largest square dividing n. | [
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"1",
"0",
"1",
"1",
"0",
"0",
"0",
"2",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"1",
"... | [
"nonn",
"easy",
"new"
] | 7 | 1 | 16 | [
"A000188",
"A008833",
"A051903",
"A375359",
"A392275",
"A392276",
"A392277"
] | null | Amiram Eldar, Jan 06 2026 | 2026-01-06T10:06:21 | oeisdata/seq/A392/A392276.seq | b7430f91674173bd8315e5668441afe0 |
A392277 | The maximum exponent in the prime factorization of the cube root of the largest cube dividing n. | [
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"... | [
"nonn",
"easy",
"new"
] | 8 | 1 | 64 | [
"A008834",
"A051903",
"A053150",
"A295659",
"A366123",
"A375359",
"A392275",
"A392276",
"A392277"
] | null | Amiram Eldar, Jan 06 2026 | 2026-01-06T10:06:07 | oeisdata/seq/A392/A392277.seq | 70e2058f1a82d1d384790a4d9f8344ba |
A392278 | The maximum exponent in the prime factorization of the smallest multiple of n that is an exponentially squarefree number. | [
"0",
"1",
"1",
"2",
"1",
"1",
"1",
"3",
"2",
"1",
"1",
"2",
"1",
"1",
"1",
"5",
"1",
"2",
"1",
"2",
"1",
"1",
"1",
"3",
"2",
"1",
"3",
"2",
"1",
"1",
"1",
"5",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"3",
"1",
"1",
"1",
"2",
"2",
"... | [
"nonn",
"easy",
"new"
] | 7 | 1 | 4 | [
"A005117",
"A051903",
"A067535",
"A209061",
"A365684",
"A378087",
"A386468",
"A391899",
"A392278"
] | null | Amiram Eldar, Jan 06 2026 | 2026-01-06T10:06:03 | oeisdata/seq/A392/A392278.seq | f43800cae80e06a4ae928a0ac9edac49 |
A392279 | Numbers whose maximum exponent in their prime factorization is a nonsquarefree number. | [
"16",
"48",
"80",
"81",
"112",
"144",
"162",
"176",
"208",
"240",
"256",
"272",
"304",
"324",
"336",
"368",
"400",
"405",
"432",
"464",
"496",
"512",
"528",
"560",
"567",
"592",
"624",
"625",
"648",
"656",
"688",
"720",
"752",
"768",
"784",
"810"... | [
"nonn",
"easy",
"new"
] | 8 | 1 | 1 | [
"A008683",
"A013929",
"A051903",
"A130897",
"A374589",
"A392279"
] | null | Amiram Eldar, Jan 06 2026 | 2026-01-06T10:06:00 | oeisdata/seq/A392/A392279.seq | 9527f0733f6b671b677f9fb65894ae69 |
A392280 | The maximum exponent in the prime factorization of the smallest multiple of n whose prime factorization exponents are all powers of 2. | [
"0",
"1",
"1",
"2",
"1",
"1",
"1",
"4",
"2",
"1",
"1",
"2",
"1",
"1",
"1",
"4",
"1",
"2",
"1",
"2",
"1",
"1",
"1",
"4",
"2",
"1",
"4",
"2",
"1",
"1",
"1",
"8",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"4",
"1",
"1",
"1",
"2",
"2",
"... | [
"nonn",
"easy",
"new"
] | 8 | 1 | 4 | [
"A051903",
"A062383",
"A138302",
"A368104",
"A368781",
"A369933",
"A369938",
"A374327",
"A392280",
"A392281"
] | null | Amiram Eldar, Jan 06 2026 | 2026-01-06T10:06:11 | oeisdata/seq/A392/A392280.seq | bf51304554e0f16310d193ed9d38f950 |
A392281 | a(n) = log_2(A392280(n)). | [
"0",
"0",
"1",
"0",
"0",
"0",
"2",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"2",
"1",
"0",
"2",
"1",
"0",
"0",
"0",
"3",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"2",
"0",
"0",
"0",
"1",
"1",
"0",
"... | [
"nonn",
"easy",
"new"
] | 8 | 2 | 7 | [
"A007814",
"A029837",
"A051903",
"A369934",
"A374328",
"A383104",
"A392280",
"A392281"
] | null | Amiram Eldar, Jan 06 2026 | 2026-01-06T10:05:56 | oeisdata/seq/A392/A392281.seq | 2b245922cdf5c898668f690c0239f2f1 |
A392282 | Array read by antidiagonals: Place k points in general position on each side of a regular n-gon and join every pair of the k*n boundary points by a chord; T(n,k) (n >= 3, k >= 0) gives the number of edges in the resulting planar graph. | [
"3",
"9",
"4",
"51",
"16",
"5",
"255",
"176",
"30",
"6",
"855",
"988",
"475",
"57",
"7",
"2193",
"3364",
"2720",
"1068",
"105",
"8",
"4719",
"8624",
"9225",
"6099",
"2107",
"184",
"9",
"8991",
"18496",
"23530",
"20550",
"11935",
"3776",
"306",
"1... | [
"nonn",
"tabl",
"new"
] | 12 | 3 | 1 | [
"A366932",
"A367324",
"A392174",
"A392228",
"A392261",
"A392282"
] | null | Scott R. Shannon and N. J. A. Sloane, Jan 06 2026 | 2026-01-09T23:25:22 | oeisdata/seq/A392/A392282.seq | 1ac50bfb4dad5ab5812802c8670fe47c |
A392284 | a(n) is the smallest prime p such that Sum_{primes q <= p} Kronecker(-n,q) > 0, or 0 if no such prime exists. | [
"2",
"3",
"608981813029",
"26861",
"7",
"5",
"2",
"3",
"2",
"11",
"5",
"608981813017",
"19",
"3",
"2",
"26861",
"2",
"643",
"11",
"3",
"11",
"31",
"2",
"5",
"2",
"3",
"608981813029",
"48731",
"5",
"13",
"2",
"3",
"2",
"7",
"11",
"5",
"199",
"... | [
"nonn",
"new"
] | 16 | 1 | 1 | [
"A003657",
"A306500",
"A326615",
"A392284"
] | null | Jianing Song, Jan 06 2026 | 2026-01-07T08:37:31 | oeisdata/seq/A392/A392284.seq | 0e677dcfa1a8c0b9f6e59f30f97d1ee6 |
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