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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A002301 | a(n) = n! / 3. | [
"2",
"8",
"40",
"240",
"1680",
"13440",
"120960",
"1209600",
"13305600",
"159667200",
"2075673600",
"29059430400",
"435891456000",
"6974263296000",
"118562476032000",
"2134124568576000",
"40548366802944000",
"810967336058880000",
"17030314057236480000",
"374666909259202560000"
... | [
"nonn",
"easy"
] | 52 | 3 | 1 | null | [
"M1861",
"N0737"
] | N. J. A. Sloane | 2018-08-23T10:26:38 | oeisdata/seq/A002/A002301.seq | ca96ae972477f2037c70676c917a7264 |
A002302 | Generalized tangent numbers. | [
"2",
"16",
"136",
"1232",
"12096",
"129024",
"1491840",
"18627840",
"250145280",
"3597834240",
"55212917760",
"900842342400",
"15575854694400",
"284549942476800",
"5477586392678400",
"110832202594713600",
"2351805274570752000"
] | [
"nonn"
] | 20 | 3 | 1 | null | [
"M2093",
"N0828"
] | N. J. A. Sloane | 2024-09-15T14:12:03 | oeisdata/seq/A002/A002302.seq | d82b2be3c400b2873957886f30e357e7 |
A002303 | Generalized tangent numbers. | [
"16",
"272",
"3968",
"56320",
"814080",
"12207360",
"191431680",
"3149752320",
"54428774400",
"987559372800",
"18797300121600",
"374883257548800",
"7822865085235200",
"170560590520320000",
"3879770715684864000",
"91945674412720128000"
] | [
"nonn"
] | 30 | 4 | 1 | [
"A002303",
"A059419"
] | [
"M5023",
"N2166"
] | N. J. A. Sloane | 2024-09-15T14:41:05 | oeisdata/seq/A002/A002303.seq | 260a8cfba9ed5842f6a9a6889037fc18 |
A002304 | Numerators of coefficients in asymptotic expansion of (2/Pi)*Integral_{0..oo} (sin x / x)^n dx. | [
"1",
"-3",
"-13",
"27",
"52791",
"482427",
"-124996631",
"-5270328789",
"-7479063506161",
"6921977624613",
"10703530420192887741",
"-31023547697719285017327",
"4502691897987538544182239",
"-201974203900639732887399429",
"632827656013898657214770949567",
"-1732419272534268233524732551"
... | [
"sign",
"frac"
] | 29 | 0 | 2 | [
"A002297",
"A002298",
"A002304",
"A002305"
] | [
"M2939",
"N1182"
] | N. J. A. Sloane | 2024-04-05T11:10:14 | oeisdata/seq/A002/A002304.seq | c66f2c0d83abfff2691703ba6c18b663 |
A002305 | Denominators of coefficients in asymptotic expansion of (2/Pi)*Integral_{0..oo} (sin x / x)^n dx. | [
"1",
"20",
"1120",
"3200",
"3942400",
"66560000",
"10035200000",
"136478720000",
"268461670400000",
"56518246400000",
"23658537943040000000",
"51431604224000000",
"70718455808000000",
"102541760921600000",
"23292891381760000000",
"8879987916800000",
"144993552704000000",
"107295229... | [
"nonn",
"frac"
] | 36 | 0 | 2 | [
"A002297",
"A002298",
"A002304",
"A002305"
] | [
"M5106",
"N2211"
] | N. J. A. Sloane | 2024-04-05T11:10:14 | oeisdata/seq/A002/A002305.seq | 9ce67db079eb06dbbac2b57a408a58cd |
A002306 | Numerators of Hurwitz numbers H_n (coefficients in expansion of Weierstrass P-function). | [
"1",
"3",
"567",
"43659",
"392931",
"1724574159",
"2498907956391",
"1671769422825579",
"88417613265912513891",
"21857510418232875496803",
"2296580829004860630685299",
"3133969138162958884235052785487",
"6456973729353591041508572318079423"
] | [
"nonn",
"easy",
"nice",
"frac"
] | 79 | 1 | 2 | [
"A002306",
"A047817"
] | [
"M3179",
"N1288"
] | N. J. A. Sloane | 2025-12-16T11:54:21 | oeisdata/seq/A002/A002306.seq | a98bed03e7bdb4b19075b7a78009d8ff |
A002307 | Consecutive quadratic residues mod p: a(n) is the maximal number of positive reduced quadratic residues which appear consecutively for n-th prime. | [
"1",
"1",
"1",
"2",
"3",
"2",
"2",
"4",
"4",
"4",
"4",
"4",
"3",
"5",
"4",
"3",
"5",
"5",
"6",
"6",
"4",
"6",
"7",
"4",
"4",
"7",
"7",
"6",
"5",
"5",
"7",
"8",
"6",
"5",
"4",
"7",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"4",
"7",
"... | [
"nonn",
"easy",
"nice"
] | 27 | 1 | 4 | [
"A002307",
"A002308",
"A048280",
"A097159"
] | [
"M0418",
"N0160"
] | N. J. A. Sloane | 2021-12-22T00:09:26 | oeisdata/seq/A002/A002307.seq | b395a4e66489156f8f3864c169459e46 |
A002308 | Consecutive quadratic nonresidues mod p. | [
"0",
"1",
"2",
"2",
"3",
"4",
"3",
"4",
"4",
"3",
"4",
"4",
"5",
"5",
"4",
"6",
"5",
"6",
"6",
"6",
"4",
"6",
"7",
"6",
"6",
"5",
"7",
"6",
"10",
"4",
"7",
"8",
"5",
"5",
"6",
"7",
"5",
"6",
"6",
"5",
"6",
"6",
"6",
"5",
"5",
... | [
"nonn",
"easy",
"nice"
] | 32 | 1 | 3 | [
"A002307",
"A002308",
"A129201"
] | [
"M0274",
"N0097"
] | N. J. A. Sloane | 2021-12-22T00:09:01 | oeisdata/seq/A002/A002308.seq | 8359e7f1cd1e4d8530877167ca0b72ca |
A002309 | Sum of fourth powers of first n odd numbers. | [
"1",
"82",
"707",
"3108",
"9669",
"24310",
"52871",
"103496",
"187017",
"317338",
"511819",
"791660",
"1182285",
"1713726",
"2421007",
"3344528",
"4530449",
"6031074",
"7905235",
"10218676",
"13044437",
"16463238",
"20563863",
"25443544",
"31208345",
"37973546",
"... | [
"nonn",
"nice",
"easy"
] | 70 | 1 | 2 | [
"A000027",
"A000290",
"A000447",
"A002309",
"A002593",
"A005408"
] | [
"M5359",
"N2327"
] | N. J. A. Sloane | 2025-11-05T15:35:24 | oeisdata/seq/A002/A002309.seq | 0b12e0d62c1f0bf35a6145978f55bd08 |
A002310 | a(n) = 5*a(n-1) - a(n-2), with a(0) = 1 and a(1) = 2. | [
"1",
"2",
"9",
"43",
"206",
"987",
"4729",
"22658",
"108561",
"520147",
"2492174",
"11940723",
"57211441",
"274116482",
"1313370969",
"6292738363",
"30150320846",
"144458865867",
"692144008489",
"3316261176578",
"15889161874401",
"76129548195427",
"364758579102734",
"17... | [
"nonn",
"easy"
] | 73 | 0 | 2 | [
"A002310",
"A002320",
"A004254",
"A049310",
"A049685",
"A054477",
"A107905"
] | null | Joe Keane (jgk(AT)jgk.org) | 2025-11-02T03:34:24 | oeisdata/seq/A002/A002310.seq | f5ba0d1739a5d3a87307317f967ec746 |
A002311 | Numbers k such that the k-th tetrahedral number is the sum of 2 tetrahedral numbers. | [
"4",
"15",
"55",
"58",
"74",
"109",
"110",
"119",
"140",
"175",
"245",
"294",
"418",
"435",
"452",
"474",
"492",
"528",
"535",
"550",
"562",
"588",
"644",
"688",
"702",
"714",
"740",
"747",
"753",
"818",
"868",
"908",
"918",
"1098",
"1158",
"1220... | [
"nonn",
"easy",
"nice"
] | 45 | 1 | 1 | [
"A000292",
"A002311",
"A010330",
"A034404"
] | [
"M3498",
"N1419"
] | N. J. A. Sloane | 2023-12-27T13:19:27 | oeisdata/seq/A002/A002311.seq | de5ef525f5f566e483fa6ab0c343c959 |
A002312 | Arc-cotangent reducible numbers or non-Størmer numbers: largest prime factor of k^2 + 1 is less than 2*k. | [
"3",
"7",
"8",
"13",
"17",
"18",
"21",
"30",
"31",
"32",
"38",
"41",
"43",
"46",
"47",
"50",
"55",
"57",
"68",
"70",
"72",
"73",
"75",
"76",
"83",
"91",
"93",
"98",
"99",
"100",
"105",
"111",
"112",
"117",
"119",
"122",
"123",
"128",
"129",... | [
"nonn",
"nice"
] | 55 | 1 | 1 | [
"A002312",
"A005528",
"A006530",
"A071931"
] | [
"M2613",
"N1033"
] | N. J. A. Sloane | 2025-11-05T15:35:24 | oeisdata/seq/A002/A002312.seq | 9b12c82499f1826b5aa955e30b829846 |
A002313 | Primes congruent to 1 or 2 modulo 4; or, primes of form x^2 + y^2; or, -1 is a square mod p. | [
"2",
"5",
"13",
"17",
"29",
"37",
"41",
"53",
"61",
"73",
"89",
"97",
"101",
"109",
"113",
"137",
"149",
"157",
"173",
"181",
"193",
"197",
"229",
"233",
"241",
"257",
"269",
"277",
"281",
"293",
"313",
"317",
"337",
"349",
"353",
"373",
"389",... | [
"nonn",
"easy",
"nice"
] | 153 | 1 | 1 | [
"A002144",
"A002313",
"A002330",
"A002331",
"A008784",
"A033203",
"A038873",
"A038874",
"A045331",
"A057129",
"A084163",
"A084165",
"A137351"
] | [
"M1430",
"N0564"
] | N. J. A. Sloane | 2025-12-23T03:12:55 | oeisdata/seq/A002/A002313.seq | 873f3b6c80a6eab2095d0b4bb1982986 |
A002314 | Minimal integer square root of -1 modulo p, where p is the n-th prime of the form 4k+1. | [
"2",
"5",
"4",
"12",
"6",
"9",
"23",
"11",
"27",
"34",
"22",
"10",
"33",
"15",
"37",
"44",
"28",
"80",
"19",
"81",
"14",
"107",
"89",
"64",
"16",
"82",
"60",
"53",
"138",
"25",
"114",
"148",
"136",
"42",
"104",
"115",
"63",
"20",
"143",
"... | [
"nonn"
] | 64 | 1 | 1 | [
"A002144",
"A002313",
"A002314",
"A005528",
"A047818",
"A057756",
"A152676",
"A152680"
] | [
"M1314",
"N0503"
] | N. J. A. Sloane | 2025-11-10T11:47:43 | oeisdata/seq/A002/A002314.seq | 08930a75e60981236808bcca38b5b482 |
A002315 | NSW numbers: a(n) = 6*a(n-1) - a(n-2); also a(n)^2 - 2*b(n)^2 = -1 with b(n) = A001653(n+1). | [
"1",
"7",
"41",
"239",
"1393",
"8119",
"47321",
"275807",
"1607521",
"9369319",
"54608393",
"318281039",
"1855077841",
"10812186007",
"63018038201",
"367296043199",
"2140758220993",
"12477253282759",
"72722761475561",
"423859315570607",
"2470433131948081",
"1439873947611787... | [
"nonn",
"easy",
"nice"
] | 488 | 0 | 2 | [
"A000045",
"A000129",
"A001108",
"A001109",
"A001333",
"A001653",
"A002203",
"A002315",
"A002878",
"A003499",
"A004146",
"A026003",
"A053141",
"A055997",
"A057084",
"A065513",
"A075870",
"A077444",
"A084068",
"A088014",
"A088165",
"A097775",
"A100047",
"A108051",
"A11... | [
"M4423",
"N1869"
] | N. J. A. Sloane | 2025-12-07T04:05:36 | oeisdata/seq/A002/A002315.seq | ac6c34566c6b01afaad55d56175e4f18 |
A002316 | Related to Bernoulli numbers. | [
"1",
"5",
"26",
"97",
"265",
"362",
"-1351",
"-13775",
"-70226",
"-262087",
"-716035",
"-978122",
"3650401",
"37220045",
"189750626",
"708158977",
"1934726305",
"2642885282",
"-9863382151",
"-100568547815",
"-512706121226",
"-1913445293767",
"-5227629760075",
"-71410750... | [
"sign",
"easy"
] | 38 | 0 | 2 | [
"A002316",
"A002317"
] | [
"M3941",
"N1624"
] | N. J. A. Sloane | 2025-11-05T15:35:24 | oeisdata/seq/A002/A002316.seq | f0f8cbf9f767c3a0dd22cc850236075d |
A002317 | Related to Genocchi numbers. | [
"2",
"5",
"7",
"-26",
"-265",
"-1351",
"-5042",
"-13775",
"-18817",
"70226",
"716035",
"3650401",
"13623482",
"37220045",
"50843527",
"-189750626",
"-1934726305",
"-9863382151",
"-36810643322",
"-100568547815",
"-137379191137",
"512706121226",
"5227629760075",
"26650854... | [
"sign",
"easy"
] | 41 | 0 | 1 | [
"A002316",
"A002317"
] | [
"M1341",
"N0514"
] | N. J. A. Sloane | 2025-06-01T03:16:36 | oeisdata/seq/A002/A002317.seq | 13a1aceb028aa6de642e55eda8c7b3f6 |
A002318 | Expansion of (1/theta_4(q)^2 -1)/4 in powers of q. | [
"1",
"3",
"8",
"19",
"42",
"88",
"176",
"339",
"633",
"1150",
"2040",
"3544",
"6042",
"10128",
"16720",
"27219",
"43746",
"69483",
"109160",
"169758",
"261504",
"399272",
"604560",
"908248",
"1354427",
"2005710",
"2950544",
"4313232",
"6267642",
"9055856",
... | [
"nonn"
] | 34 | 1 | 2 | [
"A001934",
"A002318"
] | [
"M2736",
"N1098"
] | N. J. A. Sloane | 2021-12-20T20:28:12 | oeisdata/seq/A002/A002318.seq | 8f396a6022ebb0f952ecb9a1bcf1934b |
A002319 | Order of largest (finite) group with n conjugacy classes. | [
"1",
"2",
"6",
"12",
"60",
"168",
"360",
"720",
"2520",
"20160",
"29120",
"443520",
"1944",
"126000"
] | [
"nonn",
"nice",
"more"
] | 27 | 1 | 2 | [
"A002319",
"A003061",
"A006379",
"A073043"
] | [
"M1592",
"N0621"
] | N. J. A. Sloane | 2022-01-29T01:08:46 | oeisdata/seq/A002/A002319.seq | e0a0c771bfc2eeb5e9fe4b6e91e3a1e3 |
A002320 | a(n) = 5*a(n-1) - a(n-2). | [
"1",
"3",
"14",
"67",
"321",
"1538",
"7369",
"35307",
"169166",
"810523",
"3883449",
"18606722",
"89150161",
"427144083",
"2046570254",
"9805707187",
"46981965681",
"225104121218",
"1078538640409",
"5167589080827",
"24759406763726",
"118629444737803"
] | [
"nonn",
"easy"
] | 50 | 0 | 2 | [
"A002320",
"A054477"
] | null | Joe Keane (jgk(AT)jgk.org) | 2025-07-12T18:40:38 | oeisdata/seq/A002/A002320.seq | 492059c931c281e950134c25f7815d87 |
A002321 | Mertens's function: Sum_{k=1..n} mu(k), where mu is the Moebius function A008683. | [
"1",
"0",
"-1",
"-1",
"-2",
"-1",
"-2",
"-2",
"-2",
"-1",
"-2",
"-2",
"-3",
"-2",
"-1",
"-1",
"-2",
"-2",
"-3",
"-3",
"-2",
"-1",
"-2",
"-2",
"-2",
"-1",
"-1",
"-1",
"-2",
"-3",
"-4",
"-4",
"-3",
"-2",
"-1",
"-1",
"-2",
"-1",
"0",
"0",
... | [
"sign",
"easy",
"nice"
] | 252 | 1 | 5 | [
"A002321",
"A008683",
"A059571",
"A084237",
"A134541",
"A179287",
"A209802"
] | [
"M0102",
"N0038"
] | N. J. A. Sloane | 2025-11-05T15:21:41 | oeisdata/seq/A002/A002321.seq | 3b02eb0b9c52c6f30aeb2952fe879bd8 |
A002322 | Reduced totient function psi(n): least k such that x^k == 1 (mod n) for all x prime to n; also known as the Carmichael lambda function (exponent of unit group mod n); also called the universal exponent of n. | [
"1",
"1",
"2",
"2",
"4",
"2",
"6",
"2",
"6",
"4",
"10",
"2",
"12",
"6",
"4",
"4",
"16",
"6",
"18",
"4",
"6",
"10",
"22",
"2",
"20",
"12",
"18",
"6",
"28",
"4",
"30",
"8",
"10",
"16",
"12",
"6",
"36",
"18",
"12",
"4",
"40",
"6",
"42"... | [
"nonn",
"core",
"easy",
"nice"
] | 131 | 1 | 3 | [
"A002174",
"A002322",
"A002616",
"A011773",
"A034380",
"A061258",
"A062373",
"A141258",
"A162578",
"A218342"
] | [
"M0298",
"N0110"
] | N. J. A. Sloane | 2025-11-05T15:21:41 | oeisdata/seq/A002/A002322.seq | aebfefe6cf3936e5ba204f79d76accef |
A002323 | ((2^m - 1) / p) mod p, where p = prime(n) and m = ord(2,p). | [
"1",
"3",
"1",
"5",
"3",
"15",
"3",
"20",
"1",
"1",
"1",
"32",
"37",
"22",
"36",
"8",
"36",
"10",
"1",
"7",
"49",
"48",
"23",
"77",
"92",
"81",
"13",
"95",
"49",
"1",
"17",
"95",
"30",
"96",
"66",
"132",
"67",
"107",
"3",
"50",
"148",
... | [
"nonn",
"easy"
] | 37 | 2 | 2 | [
"A001220",
"A001917",
"A002323"
] | [
"M2223",
"N0882"
] | N. J. A. Sloane | 2025-09-22T16:00:16 | oeisdata/seq/A002/A002323.seq | 9411af0d211840b3f6f4b391f73161aa |
A002324 | Number of divisors of n == 1 (mod 3) minus number of divisors of n == 2 (mod 3). | [
"1",
"0",
"1",
"1",
"0",
"0",
"2",
"0",
"1",
"0",
"0",
"1",
"2",
"0",
"0",
"1",
"0",
"0",
"2",
"0",
"2",
"0",
"0",
"0",
"1",
"0",
"1",
"2",
"0",
"0",
"2",
"0",
"0",
"0",
"0",
"1",
"2",
"0",
"2",
"0",
"0",
"0",
"2",
"0",
"0",
"... | [
"easy",
"nonn",
"nice",
"mult"
] | 152 | 1 | 7 | [
"A000086",
"A002324",
"A002325",
"A002476",
"A002654",
"A003136",
"A003627",
"A004016",
"A007645",
"A034020",
"A035019",
"A035143",
"A035147",
"A035151",
"A035155",
"A035159",
"A035167",
"A035170",
"A035171",
"A035175",
"A035179",
"A035180",
"A035182",
"A035185",
"A03... | [
"M0016",
"N0002"
] | N. J. A. Sloane | 2025-12-11T22:08:42 | oeisdata/seq/A002/A002324.seq | 47babeded7530af7a51dbe075f11c3ef |
A002325 | Glaisher's J numbers. | [
"1",
"1",
"2",
"1",
"0",
"2",
"0",
"1",
"3",
"0",
"2",
"2",
"0",
"0",
"0",
"1",
"2",
"3",
"2",
"0",
"0",
"2",
"0",
"2",
"1",
"0",
"4",
"0",
"0",
"0",
"0",
"1",
"4",
"2",
"0",
"3",
"0",
"2",
"0",
"0",
"2",
"0",
"2",
"2",
"0",
"... | [
"nonn",
"easy",
"nice",
"mult"
] | 80 | 1 | 3 | [
"A002324",
"A002325",
"A002654",
"A003628",
"A033200",
"A033203",
"A033715",
"A035143",
"A035147",
"A035151",
"A035155",
"A035159",
"A035167",
"A035170",
"A035171",
"A035175",
"A035179",
"A035180",
"A035182",
"A035185",
"A035187",
"A035188",
"A035192",
"A035194",
"A03... | [
"M0043",
"N0013"
] | N. J. A. Sloane | 2025-12-11T22:08:38 | oeisdata/seq/A002/A002325.seq | 953a2778b7109e2e160f94c2798e7e37 |
A002326 | Multiplicative order of 2 mod 2n+1. | [
"1",
"2",
"4",
"3",
"6",
"10",
"12",
"4",
"8",
"18",
"6",
"11",
"20",
"18",
"28",
"5",
"10",
"12",
"36",
"12",
"20",
"14",
"12",
"23",
"21",
"8",
"52",
"20",
"18",
"58",
"60",
"6",
"12",
"66",
"22",
"35",
"9",
"20",
"30",
"39",
"54",
... | [
"nonn",
"easy",
"nice",
"changed"
] | 372 | 0 | 2 | [
"A000010",
"A000225",
"A001122",
"A002326",
"A003571",
"A003573",
"A005420",
"A006519",
"A006694",
"A007733",
"A014664",
"A024222",
"A025192",
"A048675",
"A053447",
"A053451",
"A056239",
"A070667",
"A070683",
"A179680",
"A216838",
"A217469",
"A274298",
"A274299",
"A29... | [
"M0936",
"N0350"
] | N. J. A. Sloane | 2026-01-09T03:42:44 | oeisdata/seq/A002/A002326.seq | ec60d2b09a475f4ffe3b6941c67f0000 |
A002327 | Primes of the form k^2 - k - 1. | [
"5",
"11",
"19",
"29",
"41",
"71",
"89",
"109",
"131",
"181",
"239",
"271",
"379",
"419",
"461",
"599",
"701",
"811",
"929",
"991",
"1259",
"1481",
"1559",
"1721",
"1979",
"2069",
"2161",
"2351",
"2549",
"2861",
"2969",
"3079",
"3191",
"3539",
"365... | [
"nonn",
"easy"
] | 91 | 1 | 1 | [
"A000217",
"A002327",
"A002328",
"A003601",
"A010051",
"A028387",
"A088502",
"A110013"
] | [
"M3810",
"N1558"
] | N. J. A. Sloane | 2023-10-10T23:01:46 | oeisdata/seq/A002/A002327.seq | f2167646f44747ebf63f617be12bf9d7 |
A002328 | Numbers k such that k^2 - k - 1 is prime. | [
"3",
"4",
"5",
"6",
"7",
"9",
"10",
"11",
"12",
"14",
"16",
"17",
"20",
"21",
"22",
"25",
"27",
"29",
"31",
"32",
"36",
"39",
"40",
"42",
"45",
"46",
"47",
"49",
"51",
"54",
"55",
"56",
"57",
"60",
"61",
"65",
"66",
"67",
"69",
"71",
"7... | [
"nonn",
"easy"
] | 47 | 1 | 1 | [
"A002327",
"A002328",
"A088502",
"A110013"
] | [
"M0494",
"N0179"
] | N. J. A. Sloane | 2025-06-05T19:38:32 | oeisdata/seq/A002/A002328.seq | 0c6f9ecf24adf38e1478d660bccfae74 |
A002329 | Periods of reciprocals of integers prime to 10. | [
"1",
"1",
"6",
"1",
"2",
"6",
"16",
"18",
"6",
"22",
"3",
"28",
"15",
"2",
"3",
"6",
"5",
"21",
"46",
"42",
"16",
"13",
"18",
"58",
"60",
"6",
"33",
"22",
"35",
"8",
"6",
"13",
"9",
"41",
"28",
"44",
"6",
"15",
"96",
"2",
"4",
"34",
... | [
"nonn",
"base",
"nice",
"easy"
] | 45 | 1 | 3 | [
"A002329",
"A045572",
"A084680"
] | [
"M4045",
"N1678"
] | N. J. A. Sloane | 2025-11-05T15:35:24 | oeisdata/seq/A002/A002329.seq | 3e0a361c51fe1ca1cdd0e98d8de016b4 |
A002330 | Value of y in the solution to p = x^2 + y^2, x <= y, with prime p = A002313(n). | [
"1",
"2",
"3",
"4",
"5",
"6",
"5",
"7",
"6",
"8",
"8",
"9",
"10",
"10",
"8",
"11",
"10",
"11",
"13",
"10",
"12",
"14",
"15",
"13",
"15",
"16",
"13",
"14",
"16",
"17",
"13",
"14",
"16",
"18",
"17",
"18",
"17",
"19",
"20",
"20",
"15",
"... | [
"nonn"
] | 53 | 1 | 2 | [
"A002144",
"A002313",
"A002330",
"A002331"
] | [
"M0462",
"N0169"
] | N. J. A. Sloane | 2025-02-16T08:32:25 | oeisdata/seq/A002/A002330.seq | 0974f605c760a97d56c5e74abde48363 |
A002331 | Values of x in the solution to p = x^2 + y^2, x <= y, with prime p = A002313(n). | [
"1",
"1",
"2",
"1",
"2",
"1",
"4",
"2",
"5",
"3",
"5",
"4",
"1",
"3",
"7",
"4",
"7",
"6",
"2",
"9",
"7",
"1",
"2",
"8",
"4",
"1",
"10",
"9",
"5",
"2",
"12",
"11",
"9",
"5",
"8",
"7",
"10",
"6",
"1",
"3",
"14",
"12",
"7",
"4",
"1... | [
"nonn"
] | 57 | 1 | 3 | [
"A002144",
"A002313",
"A002330",
"A002331",
"A027862"
] | [
"M0096",
"N0033"
] | N. J. A. Sloane | 2025-12-01T13:28:28 | oeisdata/seq/A002/A002331.seq | dcd31523d88f15f3e3347066ab59fcd6 |
A002332 | Numbers x such that p = x^2 + 2y^2, with prime p = A033203(n). | [
"0",
"1",
"3",
"3",
"1",
"3",
"5",
"3",
"7",
"1",
"9",
"9",
"5",
"3",
"9",
"9",
"3",
"11",
"1",
"9",
"11",
"7",
"15",
"15",
"13",
"3",
"15",
"9",
"11",
"17",
"5",
"13",
"7",
"3",
"15",
"19",
"3",
"11",
"9",
"19",
"21",
"21",
"13",
... | [
"nonn"
] | 30 | 1 | 3 | [
"A002332",
"A002333"
] | [
"M2264",
"N0894"
] | N. J. A. Sloane | 2019-07-14T11:01:24 | oeisdata/seq/A002/A002332.seq | b29f134ec0fa7860fbb45a61f4143eae |
A002333 | Numbers y such that p = x^2 + 2y^2, with prime p = A033203(n). | [
"1",
"1",
"1",
"2",
"3",
"4",
"3",
"5",
"3",
"6",
"1",
"2",
"6",
"7",
"4",
"5",
"8",
"3",
"9",
"7",
"6",
"9",
"1",
"2",
"6",
"11",
"4",
"10",
"9",
"3",
"12",
"9",
"12",
"13",
"8",
"3",
"14",
"12",
"13",
"6",
"1",
"2",
"12",
"11",
... | [
"nonn"
] | 27 | 1 | 4 | [
"A002332",
"A002333"
] | [
"M0444",
"N0166"
] | N. J. A. Sloane | 2019-07-14T08:12:24 | oeisdata/seq/A002/A002333.seq | d4f26ec5fcf97fb6aa05301d03b684cb |
A002334 | Least positive integer x such that prime A038873(n) = x^2 - 2y^2 for some y. | [
"2",
"3",
"5",
"5",
"7",
"7",
"7",
"11",
"9",
"9",
"11",
"13",
"11",
"11",
"15",
"13",
"13",
"13",
"17",
"15",
"19",
"15",
"19",
"17",
"21",
"17",
"19",
"17",
"17",
"19",
"21",
"25",
"19",
"19",
"23",
"25",
"23",
"21",
"23",
"21",
"21",... | [
"nonn",
"easy"
] | 43 | 1 | 1 | [
"A002334",
"A002335",
"A035251"
] | [
"M0607",
"N0219"
] | N. J. A. Sloane | 2019-10-27T14:06:28 | oeisdata/seq/A002/A002334.seq | da994687b0a8485667774b35018aa718 |
A002335 | Least positive integer y such that A038873(n) = x^2 - 2y^2 for some x. | [
"1",
"1",
"2",
"1",
"3",
"2",
"1",
"5",
"2",
"1",
"4",
"6",
"3",
"2",
"7",
"4",
"3",
"1",
"7",
"4",
"9",
"1",
"8",
"5",
"10",
"4",
"7",
"3",
"2",
"5",
"8",
"12",
"2",
"1",
"9",
"11",
"8",
"4",
"7",
"2",
"1",
"14",
"6",
"9",
"5",... | [
"nonn",
"easy"
] | 38 | 1 | 3 | [
"A002334",
"A002335",
"A035251"
] | [
"M0139",
"N0055"
] | N. J. A. Sloane | 2019-10-27T14:05:30 | oeisdata/seq/A002/A002335.seq | 98428c78155d9e69855033dd0af404b9 |
A002336 | Maximal kissing number of n-dimensional laminated lattice. | [
"0",
"2",
"6",
"12",
"24",
"40",
"72",
"126",
"240",
"272",
"336",
"438",
"648",
"906",
"1422",
"2340",
"4320",
"5346",
"7398",
"10668",
"17400",
"27720",
"49896",
"93150",
"196560",
"196656"
] | [
"nonn",
"nice",
"more"
] | 25 | 0 | 2 | [
"A001116",
"A002336",
"A028923",
"A257479"
] | null | N. J. A. Sloane and J. H. Conway | 2023-12-07T16:35:56 | oeisdata/seq/A002/A002336.seq | 431902aa71ce3ee779003534b27a8ec6 |
A002337 | Weight distribution of [8,4,4] Hamming code. | [
"1",
"0",
"0",
"0",
"14",
"0",
"0",
"0",
"1"
] | [
"nonn",
"fini",
"full"
] | 9 | 0 | 5 | [
"A002337",
"A002393",
"A108095"
] | null | N. J. A. Sloane | 2023-10-15T00:03:21 | oeisdata/seq/A002/A002337.seq | 20ee5190f06bf885caff66f745da6474 |
A002338 | x such that p = (x^2 + 27*y^2)/4, where p is the n-th prime of the form 3*k+1. | [
"1",
"5",
"7",
"4",
"11",
"8",
"1",
"5",
"7",
"17",
"19",
"13",
"2",
"20",
"23",
"19",
"14",
"25",
"7",
"23",
"11",
"13",
"28",
"22",
"17",
"29",
"26",
"32",
"16",
"35",
"1",
"5",
"37",
"35",
"13",
"29",
"34",
"31",
"19",
"2",
"28",
"... | [
"nonn",
"changed"
] | 35 | 1 | 2 | [
"A002338",
"A002339",
"A123489"
] | [
"M3754",
"N1531"
] | N. J. A. Sloane | 2026-01-07T20:40:19 | oeisdata/seq/A002/A002338.seq | 061e292f0d2eda364c61cdb25ddab432 |
A002339 | Positive y such that p = (x^2 + 27*y^2)/4 where p is the n-th prime of the form 6*k+1. | [
"1",
"1",
"1",
"2",
"1",
"2",
"3",
"3",
"3",
"1",
"1",
"3",
"4",
"2",
"1",
"3",
"4",
"1",
"5",
"3",
"5",
"5",
"2",
"4",
"5",
"3",
"4",
"2",
"6",
"1",
"7",
"7",
"1",
"3",
"7",
"5",
"4",
"5",
"7",
"8",
"6",
"8",
"7",
"7",
"6",
"... | [
"nonn",
"changed"
] | 37 | 1 | 4 | [
"A002338",
"A002339",
"A002476",
"A123489"
] | [
"M0058",
"N0043"
] | N. J. A. Sloane | 2026-01-07T20:40:31 | oeisdata/seq/A002/A002339.seq | 52112e20751d6f99bedc97328b65ccae |
A002340 | Numbers x such that p = x^2 - 5y^2, where p == 0, 1, or 4 (mod 5). | [
"5",
"4",
"8",
"7",
"6",
"11",
"8",
"9",
"14",
"18",
"13",
"11",
"17",
"16",
"12",
"13",
"14",
"28",
"19",
"14",
"18",
"16",
"27",
"22",
"31",
"16",
"17",
"26",
"19",
"34",
"24",
"23",
"22",
"28",
"37",
"41",
"27",
"32",
"21",
"26",
"22... | [
"nonn"
] | 23 | 1 | 1 | [
"A002340",
"A002341"
] | [
"M3739",
"N1528"
] | N. J. A. Sloane | 2023-10-15T01:41:45 | oeisdata/seq/A002/A002340.seq | 7fe657de26ae29a3779a2925a228c912 |
A002341 | Numbers y such that p = x^2 - 5y^2, where p = 0, 1, or 4 (mod 5). | [
"2",
"1",
"3",
"2",
"1",
"4",
"1",
"2",
"5",
"7",
"4",
"2",
"6",
"5",
"1",
"2",
"3",
"11",
"6",
"1",
"5",
"3",
"10",
"7",
"12",
"1",
"2",
"9",
"4",
"13",
"7",
"6",
"5",
"9",
"14",
"16",
"8",
"11",
"2",
"7",
"3",
"4",
"10",
"1",
... | [
"nonn"
] | 22 | 1 | 1 | [
"A002340",
"A002341"
] | [
"M0136",
"N0054"
] | N. J. A. Sloane | 2023-07-24T06:56:02 | oeisdata/seq/A002/A002341.seq | 0c5709c3fc88470bc2706c9fbe450324 |
A002342 | Least positive integer x such that p = (x^2 - 5*y^2)/4 where p is the n-th odd prime such that 5 is a square mod p. | [
"5",
"7",
"9",
"11",
"12",
"13",
"16",
"17",
"17",
"19",
"19",
"22",
"21",
"23",
"24",
"26",
"27",
"29",
"27",
"28",
"29",
"32",
"31",
"31",
"33",
"32",
"34",
"33",
"37",
"37",
"37",
"39",
"41",
"39",
"41",
"43",
"41",
"41",
"42",
"43",
... | [
"nonn"
] | 17 | 1 | 1 | [
"A002342",
"A002343",
"A038872"
] | [
"M3758",
"N1534"
] | N. J. A. Sloane | 2023-10-15T01:41:41 | oeisdata/seq/A002/A002342.seq | 4bb7b49c61a40e824d9fdc86a8f1cd16 |
A002343 | Least positive integer y such that p = (x^2 - 5*y^2)/4 where p is the n-th odd prime such that 5 is a square mod p. | [
"1",
"1",
"1",
"1",
"2",
"1",
"2",
"3",
"1",
"3",
"1",
"4",
"1",
"1",
"2",
"4",
"5",
"5",
"1",
"2",
"3",
"6",
"3",
"1",
"5",
"2",
"4",
"1",
"7",
"5",
"3",
"5",
"7",
"1",
"5",
"7",
"3",
"1",
"4",
"5",
"6",
"8",
"1",
"2",
"7",
"... | [
"nonn"
] | 18 | 1 | 5 | [
"A002342",
"A002343",
"A038872"
] | [
"M0109",
"N0042"
] | N. J. A. Sloane | 2023-10-15T01:41:37 | oeisdata/seq/A002/A002343.seq | cfeff9bf9b7f63dd031ba875b8c39cb7 |
A002344 | Numbers x such that p = x^2 + 7y^2, with prime p = A033207(n). | [
"0",
"2",
"4",
"1",
"3",
"6",
"5",
"2",
"8",
"4",
"10",
"9",
"1",
"8",
"5",
"11",
"12",
"10",
"2",
"4",
"9",
"13",
"6",
"11",
"8",
"16",
"5",
"13",
"17",
"18",
"15",
"2",
"4",
"11",
"6",
"19",
"17",
"13",
"16",
"10",
"1",
"3",
"20",... | [
"nonn",
"easy"
] | 15 | 1 | 2 | [
"A002344",
"A002345"
] | [
"M0930",
"N0349"
] | N. J. A. Sloane | 2016-12-26T02:11:39 | oeisdata/seq/A002/A002344.seq | de132e2586d5fe7749e7c19f99a782b7 |
A002345 | Numbers y such that p = x^2 + 7y^2, with prime p = A033207(n). | [
"1",
"1",
"1",
"2",
"2",
"1",
"2",
"3",
"1",
"3",
"1",
"2",
"4",
"3",
"4",
"2",
"1",
"3",
"5",
"5",
"4",
"2",
"5",
"4",
"5",
"1",
"6",
"4",
"2",
"1",
"4",
"7",
"7",
"6",
"7",
"2",
"4",
"6",
"5",
"7",
"8",
"8",
"3",
"7",
"1",
"... | [
"nonn"
] | 15 | 1 | 4 | [
"A002344",
"A002345"
] | [
"M0197",
"N0074"
] | N. J. A. Sloane | 2016-12-26T02:11:19 | oeisdata/seq/A002/A002345.seq | bce3b0cf10c2005696a5ce256d5c9987 |
A002346 | Consider all primes of form p = (x^2 + 11y^2 )/4; sequence gives values of x. | [
"1",
"3",
"0",
"9",
"5",
"7",
"12",
"6",
"15",
"13",
"3",
"9",
"17",
"4",
"21",
"3",
"23",
"16",
"21",
"25",
"15",
"20",
"1",
"5",
"27",
"18",
"30",
"12",
"19",
"27",
"35",
"9",
"37",
"25",
"39",
"15",
"2",
"30",
"24",
"10",
"29",
"21... | [
"nonn"
] | 17 | 1 | 2 | [
"A002346",
"A002347",
"A056874"
] | [
"M2206",
"N0877"
] | N. J. A. Sloane | 2023-07-24T05:51:45 | oeisdata/seq/A002/A002346.seq | eafb81b362056484da04a88d14e71bc6 |
A002347 | Consider all primes of form p = (x^2 + 11y^2 )/4; sequence gives values of y. | [
"1",
"1",
"2",
"1",
"3",
"3",
"2",
"4",
"1",
"3",
"5",
"5",
"3",
"6",
"1",
"7",
"3",
"6",
"5",
"3",
"7",
"6",
"9",
"9",
"5",
"8",
"4",
"10",
"9",
"7",
"3",
"11",
"3",
"9",
"1",
"11",
"12",
"8",
"10",
"12",
"9",
"11",
"5",
"9",
"... | [
"nonn"
] | 16 | 1 | 3 | [
"A002346",
"A002347",
"A056874"
] | [
"M0151",
"N0061"
] | N. J. A. Sloane | 2023-07-24T05:51:49 | oeisdata/seq/A002/A002347.seq | 98269c4d156e85501af9ec75fff24fdd |
A002348 | Degree of rational Poncelet porism of n-gon. | [
"1",
"2",
"3",
"4",
"6",
"8",
"9",
"12",
"15",
"16",
"21",
"24",
"24",
"32",
"36",
"36",
"45",
"48",
"48",
"60",
"66",
"64",
"75",
"84",
"81",
"96",
"105",
"96",
"120",
"128",
"120",
"144",
"144",
"144",
"171",
"180",
"168",
"192",
"210",
... | [
"nonn",
"nice"
] | 33 | 3 | 2 | [
"A000265",
"A002348",
"A007434",
"A007814",
"A008683",
"A010724",
"A027748",
"A124010",
"A209229",
"A328407"
] | [
"M0549",
"N0198"
] | N. J. A. Sloane | 2025-07-23T01:03:17 | oeisdata/seq/A002/A002348.seq | 6d77c8dcb151ffeaf0670e13ef85fc6b |
A002349 | Take solution to Pellian equation x^2 - n*y^2 = 1 with smallest positive y and x >= 0; sequence gives a(n) = y, or 0 if n is a square. A002350 gives values of x. | [
"0",
"2",
"1",
"0",
"4",
"2",
"3",
"1",
"0",
"6",
"3",
"2",
"180",
"4",
"1",
"0",
"8",
"4",
"39",
"2",
"12",
"42",
"5",
"1",
"0",
"10",
"5",
"24",
"1820",
"2",
"273",
"3",
"4",
"6",
"1",
"0",
"12",
"6",
"4",
"3",
"320",
"2",
"531",
... | [
"nonn",
"nice",
"easy"
] | 76 | 1 | 2 | [
"A002349",
"A002350",
"A006702",
"A006703",
"A006704",
"A006705",
"A033315",
"A033316",
"A033319"
] | [
"M0046",
"N0015"
] | N. J. A. Sloane | 2025-02-25T08:49:11 | oeisdata/seq/A002/A002349.seq | 453b7e2d52180db77bdec4c31014e65e |
A002350 | Take solution to Pellian equation x^2 - n*y^2 = 1 with smallest positive y and x >= 0; sequence gives a(n) = x, or 1 if n is a square. A002349 gives values of y. | [
"1",
"3",
"2",
"1",
"9",
"5",
"8",
"3",
"1",
"19",
"10",
"7",
"649",
"15",
"4",
"1",
"33",
"17",
"170",
"9",
"55",
"197",
"24",
"5",
"1",
"51",
"26",
"127",
"9801",
"11",
"1520",
"17",
"23",
"35",
"6",
"1",
"73",
"37",
"25",
"19",
"2049... | [
"nonn",
"nice",
"easy"
] | 80 | 1 | 2 | [
"A002349",
"A002350",
"A006702",
"A006703",
"A006704",
"A006705",
"A033315",
"A033316",
"A033319"
] | [
"M2240",
"N0890"
] | N. J. A. Sloane | 2025-11-05T15:35:24 | oeisdata/seq/A002/A002350.seq | 6156273c4708429b1f2069ca441925a1 |
A002351 | Denominators of convergents to cube root of 2. | [
"1",
"3",
"4",
"23",
"27",
"50",
"227",
"277",
"504",
"4309",
"4813",
"71691",
"76504",
"836731",
"1749966",
"2586697",
"12096754",
"147747745",
"307592244",
"1070524477",
"2448641198",
"3519165675",
"13006138223",
"55543718567",
"68549856790",
"124093575357",
"31... | [
"nonn",
"frac"
] | 32 | 0 | 2 | [
"A002351",
"A002352",
"A002945"
] | [
"M2380",
"N0945"
] | N. J. A. Sloane | 2025-11-05T15:35:24 | oeisdata/seq/A002/A002351.seq | 3e499a34aa13c654f1b0a02d8a9b55ef |
A002352 | Numerators of convergents to cube root of 2. | [
"1",
"4",
"5",
"29",
"34",
"63",
"286",
"349",
"635",
"5429",
"6064",
"90325",
"96389",
"1054215",
"2204819",
"3259034",
"15240955",
"186150494",
"387541943",
"1348776323",
"3085094589",
"4433870912",
"16386707325",
"69980700212",
"86367407537",
"156348107749",
"3... | [
"nonn",
"frac"
] | 32 | 0 | 2 | [
"A002351",
"A002352",
"A002945"
] | [
"M3260",
"N1316"
] | N. J. A. Sloane | 2025-05-27T14:25:14 | oeisdata/seq/A002/A002352.seq | 3e48cac0a7c7f1f91ede68e150438e32 |
A002353 | Denominators of convergents to cube root of 3. | [
"1",
"2",
"7",
"9",
"43",
"52",
"303",
"355",
"658",
"4303",
"9264",
"50623",
"414248",
"1293367",
"4294349",
"18470763",
"41235875",
"265886013",
"1104779927",
"4685005721",
"5789785648",
"22054362665",
"49898510978",
"171749895599",
"736898093374",
"908647988973",... | [
"nonn",
"frac"
] | 27 | 0 | 2 | [
"A002353",
"A002354",
"A002581"
] | [
"M1733",
"N0686"
] | N. J. A. Sloane | 2024-07-04T20:41:05 | oeisdata/seq/A002/A002353.seq | 66d0b89af4270c27bb5eaf75fda8e338 |
A002354 | Numerators of convergents to cube root of 3. | [
"1",
"3",
"10",
"13",
"62",
"75",
"437",
"512",
"949",
"6206",
"13361",
"73011",
"597449",
"1865358",
"6193523",
"26639450",
"59472423",
"383473988",
"1593368375",
"6756947488",
"8350315863",
"31807895077",
"71966106017",
"247706213128",
"1062790958529",
"1310497171... | [
"nonn",
"frac"
] | 29 | 0 | 2 | [
"A002353",
"A002354",
"A002581"
] | [
"M2830",
"N1140"
] | N. J. A. Sloane | 2024-07-04T20:40:59 | oeisdata/seq/A002/A002354.seq | d488f046099a614932c3304c0db6e80e |
A002355 | Denominators of convergents to cube root of 4. | [
"1",
"1",
"2",
"5",
"12",
"17",
"63",
"143",
"492",
"635",
"2397",
"3032",
"93357",
"96389",
"478913",
"575302",
"1629517",
"15240955",
"93075247",
"387541943",
"480617190",
"868159133",
"2216935456",
"16386707325",
"34990350106",
"121357757643",
"277705865392",
... | [
"nonn",
"frac"
] | 28 | 0 | 3 | [
"A002355",
"A002356",
"A005480"
] | [
"M1407",
"N0549"
] | N. J. A. Sloane, Herman P. Robinson | 2024-07-04T20:01:15 | oeisdata/seq/A002/A002355.seq | 181d9f1075f5b5187f1a71a899bf1724 |
A002356 | Numerators of convergents to cube root of 4. | [
"1",
"2",
"3",
"8",
"19",
"27",
"100",
"227",
"781",
"1008",
"3805",
"4813",
"148195",
"153008",
"760227",
"913235",
"2586697",
"24193508",
"147747745",
"615184488",
"762932233",
"1378116721",
"3519165675",
"26012276446",
"55543718567",
"192643432147",
"4408305828... | [
"nonn",
"frac"
] | 27 | 0 | 2 | [
"A002355",
"A002356",
"A005480"
] | [
"M0881",
"N0335"
] | N. J. A. Sloane | 2024-07-04T20:01:29 | oeisdata/seq/A002/A002356.seq | ff325873916066f218a7ea2057e42f5b |
A002357 | Denominators of convergents to cube root of 5. | [
"1",
"1",
"3",
"7",
"31",
"100",
"331",
"431",
"2486",
"2917",
"5403",
"24529",
"250693",
"4286310",
"4537003",
"67804352",
"72341355",
"140145707",
"427797039119",
"427937184826",
"855734223945",
"1283671408771",
"2139405632716",
"3423077041487",
"5562482674203",
"... | [
"nonn",
"frac"
] | 24 | 0 | 3 | [
"A002357",
"A002358",
"A005481"
] | [
"M2692",
"N1078"
] | N. J. A. Sloane | 2024-07-04T20:06:56 | oeisdata/seq/A002/A002357.seq | 4a9487fab802ad90c8c2394e2e46970a |
A002358 | Numerators of convergents to cube root of 5. | [
"1",
"2",
"5",
"12",
"53",
"171",
"566",
"737",
"4251",
"4988",
"9239",
"41944",
"428679",
"7329487",
"7758166",
"115943811",
"123701977",
"239645788",
"731522646953",
"731762292741",
"1463284939694",
"2195047232435",
"3658332172129",
"5853379404564",
"9511711576693",... | [
"nonn",
"frac"
] | 23 | 0 | 2 | [
"A002357",
"A002358",
"A005481"
] | [
"M1429",
"N0563"
] | N. J. A. Sloane, Herman P. Robinson | 2024-07-04T20:06:46 | oeisdata/seq/A002/A002358.seq | 22e2b09c4832e8305220679b5cf9ca81 |
A002359 | Denominators of continued fraction convergents to cube root of 6. | [
"1",
"1",
"5",
"11",
"82",
"257",
"130638",
"130895",
"785113",
"4056460",
"4841573",
"8898033",
"13739606",
"36377245",
"50116851",
"86494096",
"2125975155",
"2212469251",
"4338444406",
"6550913657",
"23991185377",
"78524469788",
"2379725279017",
"9597425585856",
"98... | [
"nonn",
"easy",
"frac"
] | 36 | 0 | 3 | [
"A002359",
"A002360",
"A002949",
"A005486"
] | [
"M3815",
"N1561"
] | N. J. A. Sloane | 2024-07-05T10:07:29 | oeisdata/seq/A002/A002359.seq | 00134ce51518ad9d0f92cc83401505c4 |
A002360 | Numerators of continued fraction convergents to cube root of 6. | [
"1",
"2",
"9",
"20",
"149",
"467",
"237385",
"237852",
"1426645",
"7371077",
"8797722",
"16168799",
"24966521",
"66101841",
"91068362",
"157170203",
"3863153234",
"4020323437",
"7883476671",
"11903800108",
"43594876995",
"142688431093",
"4324247809785",
"17439679670233"... | [
"nonn",
"frac"
] | 32 | 0 | 2 | [
"A002359",
"A002360",
"A002949",
"A005486"
] | [
"M1918",
"N0756"
] | N. J. A. Sloane, Herman P. Robinson | 2024-07-05T10:07:25 | oeisdata/seq/A002/A002360.seq | 9e3df0496386cb798b82da04a1151cd9 |
A002361 | Denominators of continued fraction convergents to fifth root of 2. | [
"1",
"6",
"7",
"20",
"27",
"47",
"74",
"269",
"6799",
"7068",
"35071",
"112281",
"371914",
"2715679",
"141587222",
"144302901",
"430193024",
"1434881973",
"3299956970",
"50934236523",
"105168430016",
"261271096555",
"1150252816236",
"18665316156331",
"38480885128898",... | [
"nonn",
"frac"
] | 32 | 0 | 2 | [
"A002361",
"A002362",
"A002950",
"A005531"
] | [
"M4062",
"N1684"
] | N. J. A. Sloane | 2024-07-05T11:04:22 | oeisdata/seq/A002/A002361.seq | ed52e5c1c6f1974699eeb16990726395 |
A002362 | Numerators of continued fraction convergents to fifth root of 2. | [
"1",
"7",
"8",
"23",
"31",
"54",
"85",
"309",
"7810",
"8119",
"40286",
"128977",
"427217",
"3119496",
"162641009",
"165760505",
"494162019",
"1648246562",
"3790655143",
"58508073707",
"120806802557",
"300121678821",
"1321293517841",
"21440817964277",
"44202929446395",... | [
"nonn",
"frac"
] | 32 | 0 | 2 | [
"A002361",
"A002362",
"A002950",
"A005531"
] | [
"M4336",
"N1815"
] | N. J. A. Sloane | 2024-07-05T11:04:13 | oeisdata/seq/A002/A002362.seq | f8eb620f81f2410d453b07cead075a10 |
A002363 | Denominators of continued fraction convergents to fifth root of 5. | [
"1",
"2",
"3",
"5",
"8",
"21",
"29",
"79",
"661",
"740",
"19161",
"19901",
"118666",
"138567",
"3167140",
"3305707",
"29612796",
"32918503",
"62531299",
"595700194",
"658231493",
"1253931687",
"5673958241",
"6927889928",
"19529738097",
"26457628025",
"72444994147"... | [
"nonn",
"frac"
] | 31 | 0 | 2 | [
"A002363",
"A002364",
"A002951",
"A005534"
] | [
"M0703",
"N0260"
] | N. J. A. Sloane | 2024-07-05T11:06:30 | oeisdata/seq/A002/A002363.seq | 61aea46380ed2d69f5fa02bbeb950d86 |
A002364 | Numerators of continued fraction convergents to fifth root of 5. | [
"1",
"3",
"4",
"7",
"11",
"29",
"40",
"109",
"912",
"1021",
"26437",
"27458",
"163727",
"191185",
"4369797",
"4560982",
"40857653",
"45418635",
"86276288",
"821905227",
"908181515",
"1730086742",
"7828528483",
"9558615225",
"26945758933",
"36504374158",
"999545072... | [
"nonn",
"frac"
] | 25 | 0 | 2 | [
"A002363",
"A002364",
"A002951",
"A005534"
] | [
"M2342",
"N0925"
] | N. J. A. Sloane, Herman P. Robinson | 2024-08-05T22:01:22 | oeisdata/seq/A002/A002364.seq | 2c9e949a434c52bf3aecc105c3d8c6c1 |
A002365 | Numbers y such that p^2 = x^2 + y^2, 0 < x < y, p = A002144(n). | [
"4",
"12",
"15",
"21",
"35",
"40",
"45",
"60",
"55",
"80",
"72",
"99",
"91",
"112",
"105",
"140",
"132",
"165",
"180",
"168",
"195",
"221",
"208",
"209",
"255",
"260",
"252",
"231",
"285",
"312",
"308",
"288",
"299",
"272",
"275",
"340",
"325",... | [
"nonn",
"changed"
] | 29 | 1 | 1 | [
"A002144",
"A002365",
"A002366",
"A376429"
] | [
"M3430",
"N1391"
] | N. J. A. Sloane | 2026-01-17T15:02:11 | oeisdata/seq/A002/A002365.seq | 7554fb3d622d3ed53958129d6baaa1f1 |
A002366 | Numbers x such that x^2 + y^2 = p^2 = A002144(n)^2, x < y. | [
"3",
"5",
"8",
"20",
"12",
"9",
"28",
"11",
"48",
"39",
"65",
"20",
"60",
"15",
"88",
"51",
"85",
"52",
"19",
"95",
"28",
"60",
"105",
"120",
"32",
"69",
"115",
"160",
"68",
"25",
"75",
"175",
"180",
"225",
"252",
"189",
"228",
"40",
"120",... | [
"nonn"
] | 29 | 1 | 1 | [
"A002313",
"A002330",
"A002331",
"A002366",
"A376428"
] | [
"M2442",
"N0970"
] | N. J. A. Sloane | 2024-09-23T08:07:56 | oeisdata/seq/A002/A002366.seq | ad61fe60aaba6846a4f121ab845c775a |
A002367 | Let p = A007645(n) be the n-th generalized cuban prime and write p^2 = x^2 + 3*y^2 with y > 0; a(n) = x. | [
"1",
"11",
"13",
"23",
"13",
"11",
"37",
"61",
"23",
"71",
"1",
"97",
"107",
"73",
"11",
"143",
"59",
"131",
"157",
"191",
"193",
"83",
"169",
"13",
"143",
"121",
"61",
"229",
"179",
"71",
"181",
"241",
"251",
"359",
"349",
"347",
"181",
"313... | [
"nonn"
] | 27 | 2 | 2 | [
"A002367",
"A002368",
"A007645"
] | [
"M4773",
"N1377"
] | N. J. A. Sloane | 2023-10-15T01:41:13 | oeisdata/seq/A002/A002367.seq | e86d8cf63e24d2670cf61a1767ccf9f6 |
A002368 | Let p = A007645(n) be the n-th generalized cuban prime and write p^2 = x^2 + 3*y^2 with y > 0; a(n) = y. | [
"4",
"4",
"8",
"12",
"20",
"24",
"28",
"16",
"40",
"20",
"56",
"20",
"12",
"60",
"80",
"28",
"84",
"56",
"52",
"16",
"28",
"112",
"84",
"132",
"112",
"140",
"156",
"96",
"144",
"176",
"160",
"136",
"140",
"44",
"76",
"88",
"204",
"152",
"22... | [
"nonn"
] | 23 | 2 | 1 | [
"A002367",
"A002368",
"A007645"
] | [
"M3228",
"N1337"
] | N. J. A. Sloane | 2023-10-15T02:00:06 | oeisdata/seq/A002/A002368.seq | 3d5170080ab11c5a473c7d32254aa462 |
A002369 | Number of ways of folding a strip of n rectangular stamps. | [
"1",
"2",
"3",
"8",
"18",
"44",
"115",
"294",
"783"
] | [
"nonn",
"nice",
"more"
] | 56 | 1 | 2 | [
"A002369",
"A056780",
"A326301"
] | [
"M0879",
"N0334"
] | N. J. A. Sloane | 2019-10-18T04:15:02 | oeisdata/seq/A002/A002369.seq | fadff0e563f652ef43ffd5a882b76eca |
A002370 | a(n) = (2*n-1)^2 * a(n-1) - 3*C(2*n-1,3) * a(n-2) for n>1; a(0) = a(1) = 1. | [
"1",
"1",
"6",
"120",
"5250",
"395010",
"45197460",
"7299452160",
"1580682203100",
"441926274289500",
"154940341854097800",
"66565404923242024800",
"34389901168124209507800",
"21034386936107260971255000",
"15032296693671903309613950000",
"12411582569784462888618434640000"
] | [
"nonn",
"easy"
] | 50 | 0 | 3 | [
"A002370",
"A167028"
] | [
"M4296",
"N1796"
] | N. J. A. Sloane | 2022-12-28T09:04:25 | oeisdata/seq/A002/A002370.seq | aa28c5a0e2513ecd54e4555de4596dae |
A002371 | Period of decimal expansion of 1/(n-th prime) (0 by convention for the primes 2 and 5). | [
"0",
"1",
"0",
"6",
"2",
"6",
"16",
"18",
"22",
"28",
"15",
"3",
"5",
"21",
"46",
"13",
"58",
"60",
"33",
"35",
"8",
"13",
"41",
"44",
"96",
"4",
"34",
"53",
"108",
"112",
"42",
"130",
"8",
"46",
"148",
"75",
"78",
"81",
"166",
"43",
"1... | [
"nonn",
"nice",
"easy",
"base"
] | 123 | 1 | 4 | [
"A000040",
"A001913",
"A002275",
"A002371",
"A006883",
"A007732",
"A014664",
"A048595",
"A051626",
"A060257",
"A062117",
"A071126",
"A097443",
"A211241",
"A211242",
"A211243",
"A211244",
"A211245"
] | [
"M4050",
"N1680"
] | N. J. A. Sloane | 2025-10-23T16:30:17 | oeisdata/seq/A002/A002371.seq | 20a58bd071af7a863efc2166cc4d7526 |
A002372 | Goldbach conjecture: number of decompositions of 2n into ordered sums of two odd primes. | [
"0",
"0",
"1",
"2",
"3",
"2",
"3",
"4",
"4",
"4",
"5",
"6",
"5",
"4",
"6",
"4",
"7",
"8",
"3",
"6",
"8",
"6",
"7",
"10",
"8",
"6",
"10",
"6",
"7",
"12",
"5",
"10",
"12",
"4",
"10",
"12",
"9",
"10",
"14",
"8",
"9",
"16",
"9",
"8",
... | [
"nonn",
"nice",
"easy"
] | 157 | 1 | 4 | [
"A001031",
"A002372",
"A002373",
"A002374",
"A002375",
"A006307",
"A010051",
"A014092",
"A035026",
"A045917",
"A059998",
"A065091",
"A069360",
"A085090"
] | [
"M0421",
"N0161"
] | N. J. A. Sloane | 2025-11-05T15:21:41 | oeisdata/seq/A002/A002372.seq | 46f1937ecb220972fc37e852cfe437e3 |
A002373 | Smallest prime in decomposition of 2n into sum of two odd primes. | [
"3",
"3",
"3",
"5",
"3",
"3",
"5",
"3",
"3",
"5",
"3",
"5",
"7",
"3",
"3",
"5",
"7",
"3",
"5",
"3",
"3",
"5",
"3",
"5",
"7",
"3",
"5",
"7",
"3",
"3",
"5",
"7",
"3",
"5",
"3",
"3",
"5",
"7",
"3",
"5",
"3",
"5",
"7",
"3",
"5",
"... | [
"nonn",
"nice",
"easy"
] | 53 | 3 | 1 | [
"A002372",
"A002373",
"A002374",
"A010051",
"A014092",
"A065091"
] | [
"M2273",
"N0899"
] | N. J. A. Sloane | 2025-02-16T08:32:25 | oeisdata/seq/A002/A002373.seq | eed7759c06dd74c13c6c034a9d3debc0 |
A002374 | Largest prime <= n in any decomposition of 2n into a sum of two odd primes. | [
"3",
"3",
"5",
"5",
"7",
"5",
"7",
"7",
"11",
"11",
"13",
"11",
"13",
"13",
"17",
"17",
"19",
"17",
"19",
"13",
"23",
"19",
"19",
"23",
"23",
"19",
"29",
"29",
"31",
"23",
"29",
"31",
"29",
"31",
"37",
"29",
"37",
"37",
"41",
"41",
"43"... | [
"nonn",
"nice",
"easy"
] | 49 | 3 | 1 | [
"A002372",
"A002373",
"A002374",
"A014092",
"A112823",
"A234345"
] | [
"M2278",
"N0900"
] | N. J. A. Sloane | 2020-11-08T06:55:43 | oeisdata/seq/A002/A002374.seq | 15bd90e877b37baa1b5174beeb438e61 |
A002375 | From Goldbach conjecture: number of decompositions of 2n into an unordered sum of two odd primes. | [
"0",
"0",
"1",
"1",
"2",
"1",
"2",
"2",
"2",
"2",
"3",
"3",
"3",
"2",
"3",
"2",
"4",
"4",
"2",
"3",
"4",
"3",
"4",
"5",
"4",
"3",
"5",
"3",
"4",
"6",
"3",
"5",
"6",
"2",
"5",
"6",
"5",
"5",
"7",
"4",
"5",
"8",
"5",
"4",
"9",
"... | [
"nonn",
"easy",
"look",
"nice"
] | 174 | 1 | 5 | [
"A000954",
"A001031",
"A002372",
"A002373",
"A002374",
"A002375",
"A010051",
"A023036",
"A045917",
"A061358",
"A065091"
] | [
"M0104",
"N0040"
] | N. J. A. Sloane | 2025-11-05T15:21:41 | oeisdata/seq/A002/A002375.seq | a9336d0f18465f2df21970bc8f22b72c |
A002376 | Least number of positive cubes needed to sum to n. | [
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"3",
"4",
"5",
"1",
"2",
"3",
"4",
"5",
"4",
"5",
"6",
"2",
"3",
"4",
"5",
"6",
"5",
"6",
"7",
"3",
"4",
"5",
"... | [
"nonn",
"nice"
] | 72 | 1 | 2 | [
"A000578",
"A002376",
"A003325",
"A018888",
"A018890",
"A046040",
"A047702",
"A047703",
"A047704",
"A055401"
] | [
"M0466",
"N0170"
] | N. J. A. Sloane | 2025-11-08T08:54:26 | oeisdata/seq/A002/A002376.seq | 2c820389c2d94ef9ca64f02529ab2626 |
A002377 | Least number of 4th powers needed to represent n. | [
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"11",
"12",
"13",
"14",
"15",
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"11",
"12",
"13",
"14",
"15",
"16",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"11",
"12",
"13",
... | [
"nonn",
"nice"
] | 69 | 1 | 2 | [
"A002376",
"A002377",
"A002828",
"A046049",
"A046050",
"A099591",
"A188462",
"A374012"
] | [
"M0471",
"N0172"
] | N. J. A. Sloane | 2025-11-08T10:42:16 | oeisdata/seq/A002/A002377.seq | de636523c2ce922beb7200763ffe1a74 |
A002378 | Oblong (or promic, pronic, or heteromecic) numbers: a(n) = n*(n+1). | [
"0",
"2",
"6",
"12",
"20",
"30",
"42",
"56",
"72",
"90",
"110",
"132",
"156",
"182",
"210",
"240",
"272",
"306",
"342",
"380",
"420",
"462",
"506",
"552",
"600",
"650",
"702",
"756",
"812",
"870",
"930",
"992",
"1056",
"1122",
"1190",
"1260",
"... | [
"nonn",
"easy",
"core",
"nice"
] | 814 | 0 | 2 | [
"A000217",
"A000290",
"A000384",
"A001082",
"A001107",
"A002061",
"A002378",
"A002620",
"A002939",
"A002943",
"A003506",
"A005369",
"A005563",
"A005843",
"A007742",
"A007745",
"A014105",
"A016742",
"A016754",
"A028896",
"A033951",
"A033954",
"A033991",
"A033996",
"A03... | [
"M1581",
"N0616"
] | N. J. A. Sloane | 2025-12-15T13:19:28 | oeisdata/seq/A002/A002378.seq | 41de510005d5e94ce906477dad6762cb |
A002379 | a(n) = floor(3^n / 2^n). | [
"1",
"1",
"2",
"3",
"5",
"7",
"11",
"17",
"25",
"38",
"57",
"86",
"129",
"194",
"291",
"437",
"656",
"985",
"1477",
"2216",
"3325",
"4987",
"7481",
"11222",
"16834",
"25251",
"37876",
"56815",
"85222",
"127834",
"191751",
"287626",
"431439",
"647159"... | [
"nonn",
"easy"
] | 130 | 0 | 3 | [
"A000079",
"A000217",
"A000244",
"A002379",
"A002380",
"A046037",
"A060692",
"A064628",
"A067904",
"A070758",
"A070759",
"A081464",
"A094500",
"A094969",
"A153662",
"A153665",
"A153666"
] | [
"M0666",
"N0245"
] | N. J. A. Sloane | 2025-11-05T15:35:24 | oeisdata/seq/A002/A002379.seq | e6ea43e633cb825d6f97b79567a6907b |
A002380 | a(n) = 3^n reduced modulo 2^n. | [
"0",
"1",
"1",
"3",
"1",
"19",
"25",
"11",
"161",
"227",
"681",
"1019",
"3057",
"5075",
"15225",
"29291",
"55105",
"34243",
"233801",
"439259",
"269201",
"1856179",
"3471385",
"6219851",
"1882337",
"5647011",
"50495465",
"17268667",
"186023729",
"21200275",
... | [
"nonn",
"easy"
] | 82 | 0 | 4 | [
"A000079",
"A000244",
"A002379",
"A002380",
"A060692",
"A064629",
"A138589",
"A138649",
"A138973",
"A139733",
"A139786"
] | [
"M2235",
"N0887"
] | N. J. A. Sloane | 2025-11-02T02:37:40 | oeisdata/seq/A002/A002380.seq | f91ecee6c296764c563417fb830c42dc |
A002381 | Numbers of the form (p^2 - 1)/120 where p is 1 or prime. | [
"0",
"1",
"3",
"7",
"8",
"14",
"29",
"31",
"42",
"52",
"66",
"85",
"99",
"143",
"161",
"185",
"190",
"267",
"273",
"304",
"330",
"371",
"437",
"476",
"484",
"525",
"603",
"612",
"658",
"806",
"913",
"1015",
"1074",
"1197",
"1261",
"1340",
"1394... | [
"nonn"
] | 28 | 1 | 3 | [
"A002381",
"A002382",
"A002855",
"A038872",
"A045468",
"A093722",
"A141158"
] | [
"M2614",
"N1034"
] | N. J. A. Sloane | 2022-12-20T09:18:18 | oeisdata/seq/A002/A002381.seq | 7d8d1af4d9161bae90fb48c140f2d5a2 |
A002382 | Numbers of the form (p^2 - 49)/120 where p is prime. | [
"0",
"1",
"2",
"4",
"11",
"15",
"18",
"23",
"37",
"44",
"57",
"78",
"88",
"95",
"106",
"134",
"156",
"205",
"221",
"232",
"249",
"310",
"323",
"414",
"429",
"452",
"550",
"576",
"639",
"667",
"715",
"785",
"816",
"837",
"946",
"1003",
"1038",
... | [
"nonn"
] | 37 | 1 | 3 | [
"A002381",
"A002382",
"A002855",
"A003631",
"A042993",
"A097957"
] | [
"M1242",
"N0476"
] | N. J. A. Sloane | 2025-07-02T16:01:54 | oeisdata/seq/A002/A002382.seq | ee50baa1eed94c22cfad759fbcbd7125 |
A002383 | Primes of form k^2 + k + 1. | [
"3",
"7",
"13",
"31",
"43",
"73",
"157",
"211",
"241",
"307",
"421",
"463",
"601",
"757",
"1123",
"1483",
"1723",
"2551",
"2971",
"3307",
"3541",
"3907",
"4423",
"4831",
"5113",
"5701",
"6007",
"6163",
"6481",
"8011",
"8191",
"9901",
"10303",
"11131"... | [
"nonn",
"easy"
] | 116 | 1 | 1 | [
"A002383",
"A002384",
"A002496",
"A034101",
"A085104",
"A088503",
"A110284",
"A237037",
"A237038",
"A237039",
"A237040"
] | [
"M2641",
"N1051"
] | N. J. A. Sloane | 2025-11-04T14:37:41 | oeisdata/seq/A002/A002383.seq | 747ba12a9f31f87e3c635861a0b5a134 |
A002384 | Numbers m such that m^2 + m + 1 is prime. | [
"1",
"2",
"3",
"5",
"6",
"8",
"12",
"14",
"15",
"17",
"20",
"21",
"24",
"27",
"33",
"38",
"41",
"50",
"54",
"57",
"59",
"62",
"66",
"69",
"71",
"75",
"77",
"78",
"80",
"89",
"90",
"99",
"101",
"105",
"110",
"111",
"117",
"119",
"131",
"13... | [
"nonn",
"easy"
] | 83 | 1 | 2 | [
"A002383",
"A002384",
"A049407",
"A049408",
"A075723",
"A088503",
"A110284"
] | [
"M0626",
"N0228"
] | N. J. A. Sloane | 2025-11-24T14:31:33 | oeisdata/seq/A002/A002384.seq | 6f088b588806fc0d8b789163f3ff55c0 |
A002385 | Palindromic primes: prime numbers whose decimal expansion is a palindrome. | [
"2",
"3",
"5",
"7",
"11",
"101",
"131",
"151",
"181",
"191",
"313",
"353",
"373",
"383",
"727",
"757",
"787",
"797",
"919",
"929",
"10301",
"10501",
"10601",
"11311",
"11411",
"12421",
"12721",
"12821",
"13331",
"13831",
"13931",
"14341",
"14741",
"1... | [
"nonn",
"base",
"nice",
"easy"
] | 191 | 1 | 1 | [
"A002385",
"A006567",
"A007500",
"A016041",
"A016115",
"A029732",
"A032350",
"A033620",
"A046942",
"A069469",
"A117697",
"A188649",
"A188650"
] | [
"M0670",
"N0247"
] | N. J. A. Sloane, Simon Plouffe | 2025-10-31T15:59:06 | oeisdata/seq/A002/A002385.seq | f36f07aebc28e4d872e5a5da5db24889 |
A002386 | Primes (lower end) with record gaps to the next consecutive prime: primes p(k) where p(k+1) - p(k) exceeds p(j+1) - p(j) for all j < k. | [
"2",
"3",
"7",
"23",
"89",
"113",
"523",
"887",
"1129",
"1327",
"9551",
"15683",
"19609",
"31397",
"155921",
"360653",
"370261",
"492113",
"1349533",
"1357201",
"2010733",
"4652353",
"17051707",
"20831323",
"47326693",
"122164747",
"189695659",
"191912783",
"3... | [
"nonn",
"nice"
] | 170 | 1 | 1 | [
"A000040",
"A000101",
"A000230",
"A001223",
"A002386",
"A005250",
"A005669",
"A070866",
"A111870",
"A111943",
"A134266",
"A182514",
"A205827",
"A214935",
"A241540"
] | [
"M0858",
"N0327"
] | N. J. A. Sloane | 2025-11-05T15:21:41 | oeisdata/seq/A002/A002386.seq | e789665ff00804399e77b195be756a20 |
A002387 | Least k such that H(k) > n, where H(k) is the harmonic number Sum_{i=1..k} 1/i. | [
"1",
"2",
"4",
"11",
"31",
"83",
"227",
"616",
"1674",
"4550",
"12367",
"33617",
"91380",
"248397",
"675214",
"1835421",
"4989191",
"13562027",
"36865412",
"100210581",
"272400600",
"740461601",
"2012783315",
"5471312310",
"14872568831",
"40427833596",
"1098942454... | [
"nonn",
"nice"
] | 127 | 0 | 2 | [
"A002387",
"A004080",
"A006509",
"A055980",
"A115515",
"A242654"
] | [
"M1249",
"N1385"
] | N. J. A. Sloane | 2025-11-05T15:35:24 | oeisdata/seq/A002/A002387.seq | 42f19d0d68ab88fa91a2c0dc4474b9a7 |
A002388 | Decimal expansion of Pi^2. | [
"9",
"8",
"6",
"9",
"6",
"0",
"4",
"4",
"0",
"1",
"0",
"8",
"9",
"3",
"5",
"8",
"6",
"1",
"8",
"8",
"3",
"4",
"4",
"9",
"0",
"9",
"9",
"9",
"8",
"7",
"6",
"1",
"5",
"1",
"1",
"3",
"5",
"3",
"1",
"3",
"6",
"9",
"9",
"4",
"0",
"... | [
"nonn",
"cons"
] | 154 | 1 | 1 | [
"A002388",
"A019670",
"A058284",
"A091925",
"A093602",
"A093954",
"A102753",
"A304656"
] | [
"M4596",
"N1961"
] | N. J. A. Sloane | 2025-08-03T03:34:59 | oeisdata/seq/A002/A002388.seq | 5efcd8b32b74185be7e4d8a019978908 |
A002389 | Decimal expansion of -log(gamma), where gamma is Euler's constant A001620. | [
"5",
"4",
"9",
"5",
"3",
"9",
"3",
"1",
"2",
"9",
"8",
"1",
"6",
"4",
"4",
"8",
"2",
"2",
"3",
"3",
"7",
"6",
"6",
"1",
"7",
"6",
"8",
"8",
"0",
"2",
"9",
"0",
"7",
"7",
"8",
"8",
"3",
"3",
"0",
"6",
"9",
"8",
"9",
"8",
"1",
"... | [
"nonn",
"cons"
] | 40 | 0 | 1 | [
"A001620",
"A002389",
"A073004",
"A155969",
"A213440"
] | [
"M3740"
] | N. J. A. Sloane | 2025-08-28T00:33:06 | oeisdata/seq/A002/A002389.seq | 67b4b88f15b21547c788ef5002920037 |
A002390 | Decimal expansion of natural logarithm of golden ratio. | [
"4",
"8",
"1",
"2",
"1",
"1",
"8",
"2",
"5",
"0",
"5",
"9",
"6",
"0",
"3",
"4",
"4",
"7",
"4",
"9",
"7",
"7",
"5",
"8",
"9",
"1",
"3",
"4",
"2",
"4",
"3",
"6",
"8",
"4",
"2",
"3",
"1",
"3",
"5",
"1",
"8",
"4",
"3",
"3",
"4",
"... | [
"nonn",
"cons"
] | 152 | 0 | 1 | [
"A000108",
"A001622",
"A002390",
"A013661",
"A086463",
"A086466",
"A263401"
] | [
"M3318",
"N1334"
] | N. J. A. Sloane | 2025-11-26T15:59:32 | oeisdata/seq/A002/A002390.seq | 2b2b1b0a91e5482278d46941e118133f |
A002391 | Decimal expansion of natural logarithm of 3. | [
"1",
"0",
"9",
"8",
"6",
"1",
"2",
"2",
"8",
"8",
"6",
"6",
"8",
"1",
"0",
"9",
"6",
"9",
"1",
"3",
"9",
"5",
"2",
"4",
"5",
"2",
"3",
"6",
"9",
"2",
"2",
"5",
"2",
"5",
"7",
"0",
"4",
"6",
"4",
"7",
"4",
"9",
"0",
"5",
"5",
"... | [
"nonn",
"cons",
"changed"
] | 118 | 1 | 3 | [
"A002162",
"A002391",
"A016731",
"A058962",
"A073000",
"A105531",
"A154920",
"A254619"
] | [
"M4595",
"N1960"
] | N. J. A. Sloane | 2026-01-18T14:12:45 | oeisdata/seq/A002/A002391.seq | 8a2ff5ca6e87a77cc7578da6fe0425fb |
A002392 | Decimal expansion of natural logarithm of 10. | [
"2",
"3",
"0",
"2",
"5",
"8",
"5",
"0",
"9",
"2",
"9",
"9",
"4",
"0",
"4",
"5",
"6",
"8",
"4",
"0",
"1",
"7",
"9",
"9",
"1",
"4",
"5",
"4",
"6",
"8",
"4",
"3",
"6",
"4",
"2",
"0",
"7",
"6",
"0",
"1",
"1",
"0",
"1",
"4",
"8",
"... | [
"cons",
"nonn"
] | 70 | 1 | 1 | [
"A002392",
"A016738"
] | [
"M0394",
"N0151"
] | N. J. A. Sloane | 2025-11-05T15:35:24 | oeisdata/seq/A002/A002392.seq | 1281b85fb197c96a6ca81054e1dc4fbb |
A002393 | Weight distribution of [8,4,4] Hamming code omitting 0 terms. | [
"1",
"14",
"1"
] | [
"nonn",
"fini",
"full",
"bref"
] | 11 | 0 | 2 | [
"A002337",
"A002393",
"A108095"
] | null | N. J. A. Sloane | 2025-01-12T20:21:39 | oeisdata/seq/A002/A002393.seq | ef3499b491545d4fc385e44e74e0a543 |
A002394 | Weight distribution of [ 7,4,3 ] Hamming code. | [
"1",
"0",
"0",
"7",
"7",
"0",
"0",
"1"
] | [
"nonn",
"fini",
"full"
] | 11 | 0 | 4 | [
"A002394",
"A340030"
] | null | N. J. A. Sloane | 2021-01-11T13:22:26 | oeisdata/seq/A002/A002394.seq | fc450a2c5d0069aea335a77a66fe24ee |
A002395 | a(n) is the number of crystal forms in n dimensions. | [
"1",
"2",
"9",
"47"
] | [
"nonn",
"hard"
] | 13 | 0 | 2 | null | null | N. J. A. Sloane | 2025-04-16T09:02:58 | oeisdata/seq/A002/A002395.seq | cae89a8588b3d2688eb95faa059a397f |
A002396 | Inverse of reduced totient function. | [
"1",
"3",
"5",
"7",
"32",
"11",
"13",
"17",
"19",
"25",
"23",
"224",
"29",
"31",
"128",
"37",
"41",
"43",
"115",
"47",
"119",
"53",
"81",
"928",
"59",
"61",
"256",
"67",
"71",
"73",
"79",
"187",
"83",
"203",
"89",
"209",
"235",
"97",
"101",... | [
"nonn",
"nice",
"easy"
] | 27 | 1 | 2 | null | [
"M2428",
"N0961"
] | N. J. A. Sloane | 2025-07-22T09:51:22 | oeisdata/seq/A002/A002396.seq | 9665a3ebc9cba67b132a15a18ab8608c |
A002397 | a(n) = n! * lcm({1, 2, ..., n+1}). | [
"1",
"2",
"12",
"72",
"1440",
"7200",
"302400",
"4233600",
"101606400",
"914457600",
"100590336000",
"1106493696000",
"172613016576000",
"2243969215488000",
"31415569016832000",
"942467070504960000",
"256351043177349120000",
"4357967734014935040000",
"1490424965033107783680000"
] | [
"nonn"
] | 43 | 0 | 2 | [
"A002397",
"A002398",
"A002399",
"A002400",
"A002401",
"A002402",
"A002403",
"A002404",
"A002405",
"A002406",
"A010796",
"A260780",
"A260781"
] | [
"M2036",
"N0807"
] | N. J. A. Sloane | 2023-10-15T02:54:27 | oeisdata/seq/A002/A002397.seq | ed44fd6efb20e32f76fa5aca303a27aa |
A002398 | Coefficients for step-by-step integration. | [
"1",
"3",
"23",
"165",
"3802",
"21385",
"993605",
"15198435",
"394722916",
"3814933122",
"447827009070",
"5229570190845",
"862250830559382",
"11802457085079375",
"173406732097447849",
"5443765223302501095",
"1545512798280174555832",
"27361456077246355572508",
"9725198808628092900... | [
"nonn"
] | 29 | 0 | 2 | [
"A002397",
"A002398",
"A002399",
"A002400",
"A002401",
"A002402",
"A002403",
"A002404",
"A002405",
"A002406",
"A027486",
"A260780",
"A260781"
] | [
"M3101",
"N1256"
] | N. J. A. Sloane | 2023-10-15T00:24:30 | oeisdata/seq/A002/A002398.seq | 1fbf6fd657e99c1eff4144ed8144d63d |
A002399 | Coefficients for step-by-step integration. | [
"1",
"16",
"177",
"5548",
"39615",
"2236440",
"40325915",
"1207505768",
"13229393814",
"1737076976040",
"22446050738265",
"4058838484620084",
"60476452041557409",
"961082989270516112",
"32455938583801467735",
"9864953815464307351792",
"186195769473110823077652",
"702954081035810087... | [
"nonn"
] | 23 | 1 | 2 | [
"A002397",
"A002398",
"A002399",
"A002400",
"A002401",
"A002402",
"A002403",
"A002404",
"A002405",
"A002406",
"A260780",
"A260781"
] | [
"M5015",
"N2160"
] | N. J. A. Sloane | 2023-10-15T00:25:06 | oeisdata/seq/A002/A002399.seq | 94d7a9aabc4dc26ec897111db4f02f4d |
A002400 | Coefficients for step-by-step integration. | [
"5",
"111",
"5232",
"49910",
"3527745",
"76435695",
"2673350008",
"33507517680",
"4954123399050",
"71186377398675",
"14169975006172392",
"230478985529218998",
"3970388091885696481",
"144475785096372785055",
"47074452451240708494000",
"948198128552832829175504",
"380523626987174239611... | [
"nonn"
] | 23 | 2 | 1 | [
"A002397",
"A002398",
"A002399",
"A002400",
"A002401",
"A002402",
"A002403",
"A002404",
"A002405",
"A002406",
"A260780",
"A260781"
] | [
"M4025",
"N1670"
] | N. J. A. Sloane | 2023-10-15T00:25:42 | oeisdata/seq/A002/A002400.seq | eacfa4befca5fd55e44438fe059887f6 |
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