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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A003401 | Numbers of edges of regular polygons constructible with ruler (or, more precisely, an unmarked straightedge) and compass. | [
"1",
"2",
"3",
"4",
"5",
"6",
"8",
"10",
"12",
"15",
"16",
"17",
"20",
"24",
"30",
"32",
"34",
"40",
"48",
"51",
"60",
"64",
"68",
"80",
"85",
"96",
"102",
"120",
"128",
"136",
"160",
"170",
"192",
"204",
"240",
"255",
"256",
"257",
"272",
... | [
"nonn",
"nice"
] | 200 | 1 | 2 | [
"A000079",
"A000215",
"A002193",
"A002194",
"A003401",
"A004169",
"A004729",
"A019434",
"A046528",
"A051916",
"A092506",
"A094214",
"A099884",
"A101263",
"A101464",
"A182007",
"A228787",
"A272534",
"A272535",
"A272536",
"A293516",
"A295298",
"A295660",
"A336469",
"A33... | [
"M0505"
] | N. J. A. Sloane, R. K. Guy | 2025-10-30T13:17:54 | oeisdata/seq/A003/A003401.seq | 4376884cdb336446349dcd0a678afdc6 |
A003402 | G.f.: 1/((1-x)*(1-x^2)*(1-x^3)^2*(1-x^4)*(1-x^5)). | [
"1",
"1",
"2",
"4",
"6",
"9",
"14",
"19",
"27",
"37",
"49",
"64",
"84",
"106",
"134",
"168",
"207",
"253",
"309",
"371",
"445",
"530",
"626",
"736",
"863",
"1003",
"1163",
"1343",
"1543",
"1766",
"2017",
"2291",
"2597",
"2935",
"3305",
"3712",
... | [
"nonn",
"easy"
] | 42 | 0 | 3 | [
"A003402",
"A003403",
"A003404",
"A003405",
"A029073",
"A256975",
"A256976",
"A256977",
"A266755",
"A266768",
"A266769",
"A266770",
"A266775"
] | [
"M1003"
] | N. J. A. Sloane | 2022-10-21T22:07:31 | oeisdata/seq/A003/A003402.seq | 4518f4bf8c4845b8b3e965253a75037e |
A003403 | G.f.: (1 + x^3 + x^4 + ... + x^12 + x^15)/Product_{i=1..10} (1 - x^i). | [
"1",
"1",
"2",
"4",
"7",
"11",
"18",
"27",
"41",
"60",
"87",
"122",
"172",
"235",
"320",
"430",
"572",
"751",
"982",
"1268",
"1629",
"2074",
"2625",
"3297",
"4123",
"5118",
"6324",
"7771",
"9506",
"11567",
"14023",
"16917",
"20335",
"24343",
"29039... | [
"nonn"
] | 34 | 0 | 3 | [
"A003402",
"A003403",
"A003404",
"A003405",
"A029073",
"A256975",
"A256976",
"A256977"
] | [
"M1049"
] | N. J. A. Sloane | 2024-01-31T10:48:00 | oeisdata/seq/A003/A003403.seq | 1de5442dee4fedbd538dcc3d655bbde4 |
A003404 | Number of solid partitions of n supported on graph of cube. | [
"1",
"1",
"4",
"7",
"14",
"23",
"41",
"63",
"104",
"152",
"230",
"327",
"470",
"647",
"897",
"1202",
"1616",
"2117",
"2775",
"3566",
"4580",
"5787",
"7301",
"9092",
"11298",
"13885",
"17028",
"20688",
"25076",
"30154",
"36172",
"43094",
"51221",
"605... | [
"nonn",
"nice",
"easy"
] | 31 | 0 | 3 | [
"A003402",
"A003403",
"A003404",
"A003405",
"A029073",
"A256975",
"A256976",
"A256977"
] | [
"M3310"
] | N. J. A. Sloane | 2022-06-11T13:52:05 | oeisdata/seq/A003/A003404.seq | 8ab1c4c62c5008bc637daae8cc8d66a9 |
A003405 | G.f.: (1 + x^4 + x^7 + 2*x^8 + x^9 + x^12 + x^16)/Product_{i=1..8} (1 - x^i). | [
"1",
"1",
"2",
"3",
"6",
"8",
"13",
"19",
"30",
"41",
"59",
"80",
"113",
"149",
"202",
"264",
"350",
"447",
"578",
"730",
"928",
"1155",
"1444",
"1777",
"2193",
"2667",
"3249",
"3915",
"4721",
"5635",
"6728",
"7967",
"9432",
"11083",
"13016",
"15... | [
"nonn"
] | 35 | 0 | 3 | [
"A003402",
"A003403",
"A003404",
"A003405",
"A029073",
"A256975",
"A256976",
"A256977"
] | [
"M0754"
] | N. J. A. Sloane | 2024-01-31T10:39:23 | oeisdata/seq/A003/A003405.seq | 856f10189195883911aee84e744f3310 |
A003406 | Expansion of Ramanujan's function R(x) = 1 + Sum_{n >= 1} { x^(n*(n+1)/2) / ((1+x)(1+x^2)(1+x^3)...(1+x^n)) }. | [
"1",
"1",
"-1",
"2",
"-2",
"1",
"0",
"1",
"-2",
"0",
"2",
"0",
"-1",
"-2",
"2",
"1",
"0",
"-2",
"2",
"-2",
"0",
"0",
"3",
"0",
"-2",
"-2",
"1",
"0",
"2",
"0",
"0",
"0",
"-2",
"0",
"0",
"1",
"0",
"0",
"0",
"2",
"-1",
"0",
"-2",
"-2... | [
"sign",
"easy",
"nice"
] | 60 | 0 | 4 | [
"A003406",
"A003475",
"A005895",
"A005896",
"A158690"
] | [
"M0206"
] | N. J. A. Sloane | 2025-11-05T15:35:24 | oeisdata/seq/A003/A003406.seq | f2f6ae23c3f2511a2d269162ce27d234 |
A003407 | Number of permutations of [n] with no 3-term arithmetic progression. | [
"1",
"1",
"2",
"4",
"10",
"20",
"48",
"104",
"282",
"496",
"1066",
"2460",
"6128",
"12840",
"29380",
"74904",
"212728",
"368016",
"659296",
"1371056",
"2937136",
"6637232",
"15616616",
"38431556",
"96547832",
"198410168",
"419141312",
"941812088",
"2181990978"... | [
"nonn",
"nice"
] | 157 | 0 | 3 | [
"A002620",
"A003407",
"A011782",
"A162982",
"A292523",
"A296529"
] | [
"M1201"
] | N. J. A. Sloane | 2025-11-05T15:35:24 | oeisdata/seq/A003/A003407.seq | 0fa1af3e77380915948a7940d9e0cf7c |
A003408 | a(n) = binomial(3n+6, n). | [
"1",
"9",
"66",
"455",
"3060",
"20349",
"134596",
"888030",
"5852925",
"38567100",
"254186856",
"1676056044",
"11058116888",
"73006209045",
"482320623240",
"3188675231420",
"21094923659355",
"139646485582065",
"925029565741050",
"6131164307078475",
"40661170824914640",
"269... | [
"nonn",
"easy"
] | 69 | 0 | 2 | null | [
"M4643"
] | N. J. A. Sloane, Simon Plouffe | 2025-09-05T02:11:51 | oeisdata/seq/A003/A003408.seq | bbe2649dea66dd60c3e58e984b291bb6 |
A003409 | a(n) = 3*binomial(2n-1,n). | [
"3",
"9",
"30",
"105",
"378",
"1386",
"5148",
"19305",
"72930",
"277134",
"1058148",
"4056234",
"15600900",
"60174900",
"232676280",
"901620585",
"3500409330",
"13612702950",
"53017895700",
"206769793230",
"807386811660",
"3156148445580",
"12350146091400",
"483714055246... | [
"nonn"
] | 43 | 1 | 1 | [
"A001700",
"A003409"
] | [
"M2814"
] | N. J. A. Sloane | 2025-08-31T23:43:40 | oeisdata/seq/A003/A003409.seq | d2704e2d061419ef6ea77181ad1a4447 |
A003410 | Expansion of (1+x)(1+x^2)/(1-x-x^3). | [
"1",
"2",
"3",
"5",
"7",
"10",
"15",
"22",
"32",
"47",
"69",
"101",
"148",
"217",
"318",
"466",
"683",
"1001",
"1467",
"2150",
"3151",
"4618",
"6768",
"9919",
"14537",
"21305",
"31224",
"45761",
"67066",
"98290",
"144051",
"211117",
"309407",
"453458... | [
"nonn",
"easy"
] | 65 | 0 | 2 | [
"A003410",
"A038718",
"A058278",
"A097333",
"A171855"
] | [
"M0648"
] | N. J. A. Sloane | 2025-07-07T16:32:26 | oeisdata/seq/A003/A003410.seq | ac37b01e8bf3339b84781f3b21389e24 |
A003411 | Losing initial positions in game: two players alternate in removing >= 1 stones; last player wins; first player may not remove all stones; each move <= 3 times previous move. | [
"1",
"2",
"3",
"4",
"6",
"8",
"11",
"15",
"21",
"29",
"40",
"55",
"76",
"105",
"145",
"200",
"276",
"381",
"526",
"726",
"1002",
"1383",
"1909",
"2635",
"3637",
"5020",
"6929",
"9564",
"13201",
"18221",
"25150",
"34714",
"47915",
"66136",
"91286",
... | [
"nonn",
"easy"
] | 41 | 0 | 2 | [
"A003411",
"A048590"
] | [
"M0561"
] | N. J. A. Sloane, R. K. Guy, Rodney W. Topor (rwt(AT)cit.gu.edu.au) | 2022-04-13T13:25:16 | oeisdata/seq/A003/A003411.seq | 04d5ce6b37779e5d4884a43124117611 |
A003412 | From a nim-like game. | [
"1",
"2",
"3",
"4",
"6",
"8",
"11",
"14",
"18",
"24",
"32",
"43",
"54",
"68",
"86",
"110",
"142",
"185",
"239",
"307",
"393",
"503",
"645",
"830",
"1069",
"1376",
"1769",
"2272",
"2917",
"3747",
"4816",
"6192",
"7961",
"10233",
"13150",
"16897",
... | [
"nonn"
] | 26 | 0 | 2 | [
"A003412",
"A005708"
] | [
"M0559"
] | N. J. A. Sloane | 2017-06-22T07:00:58 | oeisdata/seq/A003/A003412.seq | 57800fe38fafa4cfa14e0326350d1987 |
A003413 | From a nim-like game. | [
"1",
"2",
"3",
"4",
"5",
"7",
"9",
"12",
"15",
"19",
"24",
"31",
"40",
"52",
"67",
"86",
"110",
"141",
"181",
"233",
"300",
"386",
"496",
"637",
"818",
"1051",
"1351",
"1737",
"2233",
"2870",
"3688",
"4739",
"6090",
"7827",
"10060",
"12930",
"1... | [
"nonn"
] | 37 | 0 | 2 | [
"A003413",
"A005708"
] | [
"M0521"
] | N. J. A. Sloane | 2022-04-13T13:25:16 | oeisdata/seq/A003/A003413.seq | 8650c895fd51d929cafaef8003e18f95 |
A003414 | a(n) = floor( Bernoulli(2*n)/(-4*n) ). | [
"-1",
"0",
"-1",
"0",
"-1",
"0",
"-1",
"0",
"-2",
"13",
"-141",
"1803",
"-27414",
"487468",
"-10026348",
"236192433",
"-6317862398",
"190439655626",
"-6425425249653",
"241207241774250",
"-10020155328258127",
"458387180159766538",
"-22989944171828251746",
"12590235960725... | [
"sign"
] | 24 | 1 | 9 | [
"A000367",
"A002445",
"A003414"
] | null | N. J. A. Sloane | 2023-10-21T19:51:09 | oeisdata/seq/A003/A003414.seq | 735424b1b850841ddc767087fd430f13 |
A003415 | a(n) = n' = arithmetic derivative of n: a(0) = a(1) = 0, a(prime) = 1, a(m*n) = m*a(n) + n*a(m). | [
"0",
"0",
"1",
"1",
"4",
"1",
"5",
"1",
"12",
"6",
"7",
"1",
"16",
"1",
"9",
"8",
"32",
"1",
"21",
"1",
"24",
"10",
"13",
"1",
"44",
"10",
"15",
"27",
"32",
"1",
"31",
"1",
"80",
"14",
"19",
"12",
"60",
"1",
"21",
"16",
"68",
"1",
"... | [
"nonn",
"core",
"easy",
"nice",
"hear",
"look"
] | 380 | 0 | 5 | [
"A001787",
"A002620",
"A003415",
"A003557",
"A024451",
"A027471",
"A038554",
"A051674",
"A057521",
"A068237",
"A068238",
"A068311",
"A068312",
"A068327",
"A068328",
"A068329",
"A068346",
"A068719",
"A068720",
"A068721",
"A069359",
"A083345",
"A083347",
"A083348",
"A08... | [
"M3196"
] | N. J. A. Sloane, R. K. Guy | 2025-10-29T09:40:55 | oeisdata/seq/A003/A003415.seq | ed4503bd39730be7ae469ac529ba60ba |
A003416 | Sociable numbers: smallest member of each cycle (conjectured). | [
"12496",
"14316",
"1264460",
"2115324",
"2784580",
"4938136",
"7169104",
"18048976",
"18656380",
"28158165",
"46722700",
"81128632",
"174277820",
"209524210",
"330003580",
"498215416",
"805984760",
"1095447416",
"1236402232",
"1276254780",
"1799281330"
] | [
"nonn"
] | 70 | 1 | 1 | [
"A003416",
"A052470",
"A072890",
"A072891",
"A122726"
] | null | N. J. A. Sloane | 2025-07-14T06:02:58 | oeisdata/seq/A003/A003416.seq | 83dcc2b6dfb9934ed7970a44c57e8588 |
A003417 | Continued fraction for e. | [
"2",
"1",
"2",
"1",
"1",
"4",
"1",
"1",
"6",
"1",
"1",
"8",
"1",
"1",
"10",
"1",
"1",
"12",
"1",
"1",
"14",
"1",
"1",
"16",
"1",
"1",
"18",
"1",
"1",
"20",
"1",
"1",
"22",
"1",
"1",
"24",
"1",
"1",
"26",
"1",
"1",
"28",
"1",
"1",
... | [
"nonn",
"cofr",
"nice",
"easy"
] | 210 | 0 | 1 | [
"A001113",
"A001204",
"A003417",
"A005131",
"A006083",
"A006084",
"A006085",
"A007676",
"A007677",
"A058282",
"A081750",
"A342991"
] | [
"M0088"
] | N. J. A. Sloane | 2025-12-15T13:19:24 | oeisdata/seq/A003/A003417.seq | 360810c183d738e99382942f31518f4c |
A003418 | Least common multiple (or LCM) of {1, 2, ..., n} for n >= 1, a(0) = 1. | [
"1",
"1",
"2",
"6",
"12",
"60",
"60",
"420",
"840",
"2520",
"2520",
"27720",
"27720",
"360360",
"360360",
"360360",
"720720",
"12252240",
"12252240",
"232792560",
"232792560",
"232792560",
"232792560",
"5354228880",
"5354228880",
"26771144400",
"26771144400",
"8... | [
"nonn",
"easy",
"core",
"nice",
"changed"
] | 497 | 0 | 3 | [
"A000142",
"A000793",
"A002093",
"A002110",
"A002182",
"A002201",
"A002944",
"A003418",
"A014963",
"A020500",
"A025527",
"A025528",
"A038610",
"A051173",
"A064446",
"A064859",
"A069513",
"A072938",
"A093880",
"A094348",
"A096179",
"A099996",
"A102910",
"A106037",
"A11... | [
"M1590"
] | Roland Anderson (roland.anderson(AT)swipnet.se) | 2026-01-05T09:59:52 | oeisdata/seq/A003/A003418.seq | 581b086215a0136513863a71d061dbd3 |
A003419 | Values of m in the discriminant D = 4*m leading to a new minimum of the L-function of the Dirichlet series L(1) = Sum_{k>0} Kronecker(D,k)/k. | [
"1",
"2",
"17",
"167",
"227",
"362",
"398",
"331427",
"430022",
"737183",
"800663",
"821498",
"1475858",
"2271407",
"3009173",
"5417453"
] | [
"nonn",
"more"
] | 30 | 1 | 2 | [
"A003419",
"A003420",
"A003421",
"A003521"
] | [
"M2102"
] | N. J. A. Sloane | 2020-02-07T12:09:07 | oeisdata/seq/A003/A003419.seq | 1f5912fff399dd5d55007f6a959ed9aa |
A003420 | Values of m in the discriminant D = -4*m leading to a new maximum of the L-function of the Dirichlet series L(1) = Sum_{k=1..oo} Kronecker(D,k)/k. | [
"1",
"2",
"5",
"11",
"14",
"26",
"41",
"89",
"101",
"194",
"314",
"341",
"689",
"1091",
"1154",
"1889",
"2141",
"3449",
"3506",
"5561",
"6254",
"8126",
"8774",
"10709",
"13166",
"15461",
"23201",
"24569",
"30014",
"81149",
"81626",
"162686",
"243374",
... | [
"nonn",
"more"
] | 35 | 1 | 2 | [
"A003420",
"A003521",
"A331949"
] | [
"M1387"
] | N. J. A. Sloane | 2022-08-27T21:31:23 | oeisdata/seq/A003/A003420.seq | 8f08820a2bd956f3a352465b9227ef07 |
A003421 | Nonsquare values of m in the discriminant D = 4*m leading to a new maximum of the L-function of the Dirichlet series L(1) = Sum_{k>0} Kronecker(D,k)/k. | [
"2",
"3",
"6",
"7",
"10",
"19",
"31",
"34",
"46",
"79",
"106",
"151",
"211",
"214",
"274",
"331",
"394",
"631",
"751",
"919",
"991",
"1054",
"1486",
"1654",
"2146",
"2479",
"2599",
"3826",
"5014",
"5251",
"7459",
"8551",
"9454",
"10651",
"13666",
... | [
"nonn"
] | 22 | 1 | 1 | [
"A003419",
"A003420",
"A003421",
"A003521"
] | [
"M0750"
] | N. J. A. Sloane | 2020-02-07T12:08:47 | oeisdata/seq/A003/A003421.seq | e1db89b5b19b8b069a30d6e1a7d15faa |
A003422 | Left factorials: !n = Sum_{k=0..n-1} k!. | [
"0",
"1",
"2",
"4",
"10",
"34",
"154",
"874",
"5914",
"46234",
"409114",
"4037914",
"43954714",
"522956314",
"6749977114",
"93928268314",
"1401602636314",
"22324392524314",
"378011820620314",
"6780385526348314",
"128425485935180314",
"2561327494111820314",
"53652269665821... | [
"nonn",
"easy",
"nice"
] | 297 | 0 | 3 | [
"A000045",
"A000108",
"A000110",
"A000142",
"A000166",
"A000178",
"A000204",
"A003422",
"A005165",
"A007489",
"A008276",
"A014144",
"A014288",
"A025016",
"A049782",
"A094216",
"A094638",
"A100612",
"A101752",
"A102411",
"A102412",
"A102639",
"A135722",
"A137338",
"A22... | [
"M1237"
] | N. J. A. Sloane, R. K. Guy | 2025-11-24T15:57:52 | oeisdata/seq/A003/A003422.seq | 6c06dfe2ff18ca06219257396b04fffc |
A003423 | a(n) = a(n-1)^2 - 2, with a(0) = 6. | [
"6",
"34",
"1154",
"1331714",
"1773462177794",
"3145168096065837266706434",
"9892082352510403757550172975146702122837936996354"
] | [
"nonn",
"easy"
] | 97 | 0 | 1 | [
"A001566",
"A003010",
"A003423",
"A003487",
"A145505"
] | [
"M4215"
] | N. J. A. Sloane | 2025-11-05T15:35:24 | oeisdata/seq/A003/A003423.seq | a04ac4d6626b74a54995713aa54b9899 |
A003424 | Primes of form (p^x - 1)/(p^y - 1), p prime. | [
"3",
"5",
"7",
"13",
"17",
"31",
"73",
"127",
"257",
"307",
"757",
"1093",
"1723",
"2801",
"3541",
"5113",
"8011",
"8191",
"10303",
"17293",
"19531",
"28057",
"30103",
"30941",
"65537",
"86143",
"88741",
"131071",
"147073",
"262657",
"292561",
"459007",
... | [
"nonn",
"easy"
] | 29 | 1 | 1 | [
"A003424",
"A059055",
"A085104"
] | [
"M2417"
] | N. J. A. Sloane | 2025-11-09T21:20:52 | oeisdata/seq/A003/A003424.seq | 411387af5b06dd6d1b5ee463dacc7a1a |
A003425 | n! times number of posets with n elements. | [
"1",
"1",
"6",
"114",
"5256",
"507720",
"93616560",
"30894489360",
"17407086641280",
"16152167106391680",
"23990233574783750400",
"55735096448700749203200",
"198720975339675515386598400",
"1070118060127292955589511500800",
"8585695098723146508385537345689600",
"101432601341702692223559... | [
"nonn"
] | 19 | 0 | 3 | [
"A000142",
"A001035",
"A003425"
] | [
"M4294"
] | N. J. A. Sloane | 2022-05-22T16:21:07 | oeisdata/seq/A003/A003425.seq | 11306b0f7a6718d97b3f847da41ff322 |
A003426 | Number of stable trees with n nodes. | [
"1",
"1",
"1",
"1",
"2",
"4",
"8",
"17",
"37",
"85",
"196",
"469",
"1134",
"2799",
"6975",
"17628",
"44903",
"115497",
"299089",
"780036",
"2045924",
"5396078",
"14299878",
"38067356",
"101748748",
"272995157",
"735004112",
"1985356350",
"5378958683",
"14614... | [
"nonn"
] | 30 | 1 | 5 | [
"A003426",
"A006544"
] | [
"M1142"
] | N. J. A. Sloane | 2023-10-21T19:59:30 | oeisdata/seq/A003/A003426.seq | 5d0bd40673bb21aa98f3cd92952f8ef6 |
A003427 | Number of trees by stability index. | [
"0",
"0",
"0",
"0",
"1",
"1",
"1",
"2",
"4",
"8",
"16",
"34",
"72",
"158",
"348",
"784",
"1777",
"4080",
"9425",
"21965",
"51456",
"121300",
"287215",
"683268",
"1631532",
"3910235",
"9401000",
"22670058",
"54813780",
"132867903"
] | [
"nonn",
"more"
] | 18 | 1 | 8 | null | [
"M1134"
] | N. J. A. Sloane | 2023-10-21T18:32:11 | oeisdata/seq/A003/A003427.seq | 04fdd743e37e97ac317c4d0983ffa74a |
A003428 | Number of trees by stability index. | [
"0",
"0",
"0",
"0",
"0",
"0",
"2",
"3",
"5",
"12",
"22",
"47",
"94",
"201",
"417",
"907",
"1948",
"4289",
"9440",
"21063",
"47124",
"106377",
"240980",
"549272",
"1256609",
"2888057",
"6660347",
"15416623",
"35794121",
"83362301"
] | [
"nonn",
"more"
] | 17 | 1 | 7 | null | [
"M0738"
] | N. J. A. Sloane | 2023-10-21T18:32:47 | oeisdata/seq/A003/A003428.seq | c1dfda0c318dbaa8ff19c2e5f24b09d9 |
A003429 | Number of trees with stability index n. | [
"5",
"7",
"15",
"27",
"57",
"114",
"243",
"506",
"1102",
"2381",
"5269",
"11686",
"26277",
"59348",
"135317",
"310064",
"715475",
"1659321",
"3870414",
"9071915",
"21372782",
"50591199",
"120332237"
] | [
"nonn",
"more"
] | 17 | 1 | 1 | null | [
"M3765"
] | N. J. A. Sloane | 2023-10-21T18:33:15 | oeisdata/seq/A003/A003429.seq | 1bf05428c0c8a41972a341dfac080fc9 |
A003430 | Number of unlabeled series-parallel posets (i.e., generated by unions and sums) with n nodes. | [
"1",
"1",
"2",
"5",
"15",
"48",
"167",
"602",
"2256",
"8660",
"33958",
"135292",
"546422",
"2231462",
"9199869",
"38237213",
"160047496",
"674034147",
"2854137769",
"12144094756",
"51895919734",
"222634125803",
"958474338539",
"4139623680861",
"17931324678301",
"778... | [
"easy",
"nonn",
"nice"
] | 77 | 0 | 3 | [
"A000084",
"A003430",
"A003431",
"A007453",
"A007454",
"A048172",
"A339156",
"A339159",
"A339225",
"A339228",
"A339231"
] | [
"M1476"
] | N. J. A. Sloane, Richard Stanley, and Mira Bernstein | 2020-12-02T13:57:16 | oeisdata/seq/A003/A003430.seq | 52ece30bd93814f98ad79ef878ea4580 |
A003431 | Number of isomorphism classes of connected irreducible posets with n labeled points. | [
"1",
"1",
"0",
"0",
"1",
"12",
"104",
"956",
"10037",
"126578",
"1971005",
"38569954",
"958347642",
"30400603560",
"1234260982770",
"64187360439352",
"4275470549123119"
] | [
"nonn",
"nice",
"more"
] | 39 | 0 | 6 | [
"A003430",
"A003431",
"A046906"
] | [
"M4857"
] | N. J. A. Sloane and Richard Stanley | 2022-07-10T14:58:33 | oeisdata/seq/A003/A003431.seq | 09c5cc7d2a3a4b08463f09d8685f2da5 |
A003432 | Hadamard maximal determinant problem: largest determinant of a (real) {0,1}-matrix of order n. | [
"1",
"1",
"1",
"2",
"3",
"5",
"9",
"32",
"56",
"144",
"320",
"1458",
"3645",
"9477",
"25515",
"131072",
"327680",
"1114112",
"3411968",
"19531250",
"56640625",
"195312500"
] | [
"nonn",
"hard",
"more",
"nice"
] | 109 | 0 | 4 | [
"A003432",
"A003433",
"A013588",
"A036297",
"A051752"
] | [
"M0720"
] | N. J. A. Sloane | 2025-10-29T23:47:09 | oeisdata/seq/A003/A003432.seq | d6a55ce933cee6d15cac907ae9a1d1ea |
A003433 | Hadamard maximal determinant problem: largest determinant of (+1,-1)-matrix of order n. | [
"1",
"2",
"4",
"16",
"48",
"160",
"576",
"4096",
"14336",
"73728",
"327680",
"2985984",
"14929920",
"77635584",
"418037760",
"4294967296",
"21474836480",
"146028888064",
"894426939392",
"10240000000000",
"59392000000000",
"409600000000000"
] | [
"nonn",
"hard",
"nice"
] | 76 | 1 | 2 | [
"A003432",
"A003433",
"A051753",
"A188895"
] | [
"M1291"
] | N. J. A. Sloane | 2025-11-05T15:21:43 | oeisdata/seq/A003/A003433.seq | 234822dd80cc445d6060a62bd7dffbd7 |
A003434 | Number of iterations of phi(x) at n needed to reach 1. | [
"0",
"1",
"2",
"2",
"3",
"2",
"3",
"3",
"3",
"3",
"4",
"3",
"4",
"3",
"4",
"4",
"5",
"3",
"4",
"4",
"4",
"4",
"5",
"4",
"5",
"4",
"4",
"4",
"5",
"4",
"5",
"5",
"5",
"5",
"5",
"4",
"5",
"4",
"5",
"5",
"6",
"4",
"5",
"5",
"5",
"... | [
"nonn",
"easy",
"nice",
"look"
] | 82 | 1 | 3 | [
"A000010",
"A003434",
"A007755"
] | [
"M0244"
] | N. J. A. Sloane | 2022-02-28T12:19:51 | oeisdata/seq/A003/A003434.seq | aa17e9662f309723ec7209c342e49ec4 |
A003435 | Number of directed Hamiltonian circuits on n-octahedron with a marked starting node. | [
"8",
"192",
"11904",
"1125120",
"153262080",
"28507207680",
"6951513784320",
"2153151603671040",
"826060810479206400",
"384600188992919961600",
"213656089636192754073600",
"139620366072628402087526400",
"106033731334825319789808844800"
] | [
"nonn",
"nice",
"easy"
] | 56 | 2 | 1 | [
"A003435",
"A003436",
"A003437",
"A129348"
] | [
"M4578"
] | N. J. A. Sloane | 2025-02-16T08:32:27 | oeisdata/seq/A003/A003435.seq | 876f970fc3c8f47d75d8d4cd9c9db1b8 |
A003436 | Number of inequivalent labeled Hamiltonian circuits on n-octahedron. Interlacing chords joining 2n points on circle. | [
"1",
"0",
"1",
"4",
"31",
"293",
"3326",
"44189",
"673471",
"11588884",
"222304897",
"4704612119",
"108897613826",
"2737023412199",
"74236203425281",
"2161288643251828",
"67228358271588991",
"2225173863019549229",
"78087247031912850686",
"2896042595237791161749",
"11318451223... | [
"nonn",
"easy",
"nice"
] | 112 | 0 | 4 | [
"A000179",
"A000296",
"A000699",
"A000806",
"A001147",
"A003435",
"A003436",
"A003437",
"A005493",
"A129348",
"A170941",
"A190823",
"A278990",
"A306386",
"A306419",
"A322402",
"A324011",
"A324172",
"A324173",
"A324428"
] | [
"M3638"
] | N. J. A. Sloane | 2025-12-07T04:06:12 | oeisdata/seq/A003/A003436.seq | 6213dd90a3e7187a984f9ea7e46f766f |
A003437 | Number of unlabeled Hamiltonian circuits on n-octahedron (cross polytope); also number of circular chord diagrams with n chords, modulo symmetries. | [
"0",
"1",
"2",
"7",
"29",
"196",
"1788",
"21994",
"326115",
"5578431",
"107026037",
"2269254616",
"52638064494",
"1325663757897",
"36021577975918",
"1050443713185782",
"32723148860301935",
"1084545122297249077",
"38105823782987999742",
"1414806404051118314077"
] | [
"nonn",
"nice"
] | 59 | 1 | 3 | [
"A003436",
"A003437",
"A007474",
"A278990"
] | [
"M1781"
] | N. J. A. Sloane | 2025-12-07T04:06:29 | oeisdata/seq/A003/A003437.seq | a626db5212a34d470e0d0abe101440aa |
A003438 | Number of 5 X 5 matrices with nonnegative integer entries and row and column sums equal to n. | [
"1",
"120",
"6210",
"153040",
"2224955",
"22069251",
"164176640",
"976395820",
"4855258305",
"20856798285",
"79315936751",
"272095118010",
"854560160105",
"2486299719645",
"6765755480415",
"17356306529251",
"42250330784180",
"98137852369965"
] | [
"nonn",
"easy",
"nice"
] | 34 | 0 | 2 | [
"A001496",
"A002817",
"A003438",
"A005466",
"A019298",
"A058391",
"A257493"
] | [
"M5381"
] | N. J. A. Sloane | 2023-06-25T20:05:57 | oeisdata/seq/A003/A003438.seq | 12a1b362644b6bedd07cbab412295199 |
A003439 | Number of 6 X 6 stochastic matrices of integers: all rows and columns sum to n. | [
"1",
"720",
"202410",
"20933840",
"1047649905",
"30767936616",
"602351808741",
"8575979362560",
"94459713879600",
"842286559093240",
"6292583664553881",
"40447642842118656",
"228438173705550566",
"1152877640765297760",
"5271278793334883190",
"22085628572718605376",
"85604721304213863... | [
"nonn"
] | 30 | 0 | 2 | [
"A003439",
"A005467",
"A257493"
] | [
"M5474"
] | N. J. A. Sloane | 2020-04-09T22:26:11 | oeisdata/seq/A003/A003439.seq | 368dd5a4519ffc127749790d986a91d7 |
A003440 | Number of binary vectors with restricted repetitions. | [
"1",
"1",
"3",
"7",
"17",
"42",
"104",
"259",
"648",
"1627",
"4098",
"10350",
"26202",
"66471",
"168939",
"430071",
"1096451",
"2799072",
"7154189",
"18305485",
"46885179",
"120195301",
"308393558",
"791882862",
"2034836222",
"5232250537",
"13462265079",
"346577... | [
"nonn"
] | 50 | 0 | 3 | [
"A003440",
"A078678",
"A104402",
"A177790"
] | [
"M2666"
] | N. J. A. Sloane | 2023-07-06T01:55:37 | oeisdata/seq/A003/A003440.seq | 8af8e530fdbc0dc1546f584c05814d25 |
A003441 | Number of nonequivalent dissections of a polygon into n triangles by nonintersecting diagonals rooted at a cell up to rotation. | [
"1",
"1",
"3",
"10",
"30",
"99",
"335",
"1144",
"3978",
"14000",
"49742",
"178296",
"643856",
"2340135",
"8554275",
"31429068",
"115997970",
"429874830",
"1598952498",
"5967382200",
"22338765540",
"83859016956",
"315614844558",
"1190680751376",
"4501802224520",
"170... | [
"nonn"
] | 45 | 1 | 3 | [
"A000108",
"A003441",
"A295222"
] | [
"M2840"
] | N. J. A. Sloane | 2025-11-23T05:41:11 | oeisdata/seq/A003/A003441.seq | dfc9c666970a486aa5673d5d68214a52 |
A003442 | Number of nonequivalent dissections of an n-gon into (n-3) polygons by nonintersecting diagonals rooted at a cell up to rotation. | [
"1",
"2",
"11",
"48",
"208",
"858",
"3507",
"14144",
"56698",
"226100",
"898942",
"3565920",
"14124496",
"55887930",
"220985795",
"873396480",
"3450940830",
"13633173180",
"53855628554",
"212750148000",
"840496068160",
"3320817060132",
"13122294166126",
"51860761615488"... | [
"nonn"
] | 39 | 4 | 2 | [
"A003442",
"A003443",
"A003454",
"A220881",
"A295622"
] | [
"M2002"
] | N. J. A. Sloane | 2021-01-19T11:48:00 | oeisdata/seq/A003/A003442.seq | f3039e2f2a6365b4da9e11a3081bb747 |
A003443 | Number of nonequivalent dissections of an n-gon into n-4 polygons by nonintersecting diagonals rooted at a cell up to rotation. | [
"1",
"3",
"24",
"150",
"825",
"4205",
"20384",
"95472",
"436050",
"1954150",
"8629528",
"37665030",
"162845865",
"698599125",
"2977488000",
"12620579140",
"53243068230",
"223707978090",
"936619554000",
"3909283969500",
"16272003594658",
"67565854800378",
"279942274434624"... | [
"nonn"
] | 34 | 5 | 2 | [
"A003442",
"A003443",
"A003454"
] | [
"M3104"
] | N. J. A. Sloane | 2021-01-19T11:48:00 | oeisdata/seq/A003/A003443.seq | 0036965c23c5657cc2c95d2c94ac9836 |
A003444 | Number of dissections of a polygon. | [
"1",
"4",
"12",
"43",
"143",
"504",
"1768",
"6310",
"22610",
"81752",
"297160",
"1086601",
"3991995",
"14732720",
"54587280",
"202997670",
"757398510",
"2834510744",
"10637507400",
"40023636310",
"150946230006",
"570534578704",
"2160865067312",
"8199711378716",
"31170... | [
"nonn"
] | 35 | 4 | 2 | [
"A003444",
"A003445",
"A003450",
"A047996",
"A073020",
"A220881"
] | [
"M3455"
] | N. J. A. Sloane | 2025-11-05T15:21:43 | oeisdata/seq/A003/A003444.seq | 1abaddb00d74969fdcad9c4525206dda |
A003445 | Number of nonequivalent dissections of an n-gon into n-4 polygons by nonintersecting diagonals up to rotation. | [
"1",
"2",
"8",
"40",
"165",
"712",
"2912",
"11976",
"48450",
"195580",
"784504",
"3139396",
"12526605",
"49902440",
"198499200",
"788795924",
"3131945190",
"12428258796",
"49295766000",
"195464345440",
"774857314042",
"3071175790232",
"12171403236288",
"48233597481200",... | [
"nonn"
] | 35 | 5 | 2 | [
"A003443",
"A003444",
"A003445",
"A003448",
"A003450",
"A220881",
"A295633"
] | [
"M1859"
] | N. J. A. Sloane | 2025-11-05T15:21:43 | oeisdata/seq/A003/A003445.seq | 7ee94d5abc329d20742594658f63fa6a |
A003446 | Number of nonequivalent dissections of a polygon into n triangles by nonintersecting diagonals rooted at a cell up to rotation and reflection. | [
"0",
"1",
"1",
"2",
"6",
"16",
"52",
"170",
"579",
"1996",
"7021",
"24892",
"89214",
"321994",
"1170282",
"4277352",
"15715249",
"57999700",
"214939846",
"799478680",
"2983699498",
"11169391168",
"41929537871",
"157807451672",
"595340479694",
"2250901216266",
"852... | [
"nonn",
"easy",
"nice"
] | 52 | 0 | 4 | [
"A000108",
"A003446",
"A295259"
] | [
"M1616"
] | N. J. A. Sloane | 2025-11-23T05:41:28 | oeisdata/seq/A003/A003446.seq | 9c2fdee8b983c06cd93ed4a071eedc5b |
A003447 | Number of nonequivalent dissections of an n-gon into n-3 polygons by nonintersecting diagonals rooted at a cell up to rotation and reflection. | [
"1",
"2",
"7",
"26",
"108",
"434",
"1765",
"7086",
"28384",
"113092",
"449582",
"1783092",
"7062611",
"27944394",
"110494113",
"436699670",
"1725474562",
"6816591452",
"26927828642",
"106375090796",
"420248084468",
"1660408588852",
"6561147261682",
"25930381015756",
"... | [
"nonn"
] | 29 | 4 | 2 | [
"A003447",
"A003448",
"A003452",
"A003456"
] | [
"M1772"
] | N. J. A. Sloane | 2021-01-19T11:48:00 | oeisdata/seq/A003/A003447.seq | 2376081ebe7ff0905eded25edf12a636 |
A003448 | Number of nonequivalent dissections of an n-gon into n-4 polygons by nonintersecting diagonals rooted at a cell up to rotation and reflection. | [
"1",
"3",
"15",
"81",
"422",
"2124",
"10223",
"47813",
"218130",
"977354",
"4315130",
"18833538",
"81424236",
"349303352",
"1488748719",
"6310303727",
"26621551418",
"111854042306",
"468309841090",
"1954642186302",
"8136002036672",
"33782928166668",
"139971138117190",
"... | [
"nonn"
] | 22 | 5 | 2 | [
"A003447",
"A003448"
] | [
"M2993"
] | N. J. A. Sloane | 2021-01-19T11:48:00 | oeisdata/seq/A003/A003448.seq | 97ece870d5e387b0ed302c7f606387fa |
A003449 | Number of nonequivalent dissections of an n-gon into n-3 polygons by nonintersecting diagonals up to rotation and reflection. | [
"1",
"1",
"3",
"7",
"24",
"74",
"259",
"891",
"3176",
"11326",
"40942",
"148646",
"543515",
"1996212",
"7367075",
"27294355",
"101501266",
"378701686",
"1417263770",
"5318762098",
"20011847548",
"75473144396",
"285267393358",
"1080432637662",
"4099856060808",
"15585... | [
"nonn"
] | 43 | 4 | 3 | [
"A003449",
"A003450",
"A295419",
"A295634"
] | [
"M2687"
] | N. J. A. Sloane | 2025-11-05T15:21:43 | oeisdata/seq/A003/A003449.seq | 4279af93754ebf672a24bab64308c12b |
A003450 | Number of nonequivalent dissections of an n-gon into n-4 polygons by nonintersecting diagonals up to rotation and reflection. | [
"1",
"2",
"6",
"24",
"89",
"371",
"1478",
"6044",
"24302",
"98000",
"392528",
"1570490",
"6264309",
"24954223",
"99253318",
"394409402",
"1565986466",
"6214173156",
"24647935156",
"97732340680",
"387428854374",
"1535588541762",
"6085702368796",
"24116801236744",
"9556... | [
"nonn"
] | 38 | 5 | 2 | [
"A003444",
"A003445",
"A003449",
"A003450",
"A220881",
"A295419",
"A295634"
] | [
"M1673"
] | N. J. A. Sloane | 2025-11-05T15:21:43 | oeisdata/seq/A003/A003450.seq | 9880238e4bf2dc7785ea2b31d2a7ec54 |
A003451 | Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation. | [
"1",
"4",
"8",
"16",
"25",
"40",
"56",
"80",
"105",
"140",
"176",
"224",
"273",
"336",
"400",
"480",
"561",
"660",
"760",
"880",
"1001",
"1144",
"1288",
"1456",
"1625",
"1820",
"2016",
"2240",
"2465",
"2720",
"2976",
"3264",
"3553",
"3876",
"4200",... | [
"nonn"
] | 55 | 5 | 2 | [
"A003451",
"A003453",
"A006584",
"A027656",
"A295633"
] | [
"M3330"
] | N. J. A. Sloane | 2025-11-05T15:21:43 | oeisdata/seq/A003/A003451.seq | 25d663b3d763b58b61680a155792b084 |
A003452 | Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals rooted at a cell up to rotation and reflection. | [
"2",
"7",
"15",
"28",
"45",
"69",
"98",
"136",
"180",
"235",
"297",
"372",
"455",
"553",
"660",
"784",
"918",
"1071",
"1235",
"1420",
"1617",
"1837",
"2070",
"2328",
"2600",
"2899",
"3213",
"3556",
"3915",
"4305",
"4712",
"5152",
"5610",
"6103",
"6... | [
"nonn"
] | 21 | 5 | 1 | [
"A003447",
"A003452"
] | [
"M1742"
] | N. J. A. Sloane | 2021-01-19T11:48:00 | oeisdata/seq/A003/A003452.seq | 21ff1af896566043aa10dcc3703a730d |
A003453 | Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation and reflection. | [
"1",
"3",
"6",
"11",
"17",
"26",
"36",
"50",
"65",
"85",
"106",
"133",
"161",
"196",
"232",
"276",
"321",
"375",
"430",
"495",
"561",
"638",
"716",
"806",
"897",
"1001",
"1106",
"1225",
"1345",
"1480",
"1616",
"1768",
"1921",
"2091",
"2262",
"245... | [
"nonn",
"easy",
"nice"
] | 75 | 5 | 2 | [
"A003453",
"A005744",
"A213847",
"A295419",
"A295634"
] | [
"M2542"
] | N. J. A. Sloane, Simon Plouffe | 2025-11-05T15:21:43 | oeisdata/seq/A003/A003453.seq | 00414873f710f571cbf119fe48e19906 |
A003454 | Number of nonequivalent dissections of an n-gon by nonintersecting diagonals rooted at a cell up to rotation. | [
"1",
"2",
"6",
"25",
"107",
"509",
"2468",
"12258",
"61797",
"315830",
"1630770",
"8498303",
"44629855",
"235974495",
"1255105304",
"6710883952",
"36050676617",
"194478962422",
"1053120661726",
"5722375202661",
"31191334491891",
"170504130213135",
"934495666529380",
"51... | [
"nonn"
] | 37 | 3 | 2 | [
"A001004",
"A003442",
"A003454",
"A003455",
"A003456",
"A005033",
"A295222"
] | [
"M1676"
] | N. J. A. Sloane | 2022-03-22T02:26:08 | oeisdata/seq/A003/A003454.seq | 393bb0c70f30174dcc5355744a5c8c48 |
A003455 | Number of nonequivalent dissections of an n-gon by nonintersecting diagonals up to rotation. | [
"1",
"2",
"3",
"11",
"29",
"122",
"479",
"2113",
"9369",
"43392",
"203595",
"975563",
"4736005",
"23296394",
"115811855",
"581324861",
"2942579633",
"15008044522",
"77064865555",
"398150807179",
"2068470765261",
"10800665952376",
"56658467018647",
"298489772155137",
"... | [
"nonn"
] | 26 | 3 | 2 | [
"A001004",
"A003454",
"A003455",
"A003456",
"A005034",
"A295224",
"A295495"
] | [
"M0909"
] | N. J. A. Sloane | 2025-12-29T11:26:48 | oeisdata/seq/A003/A003455.seq | 7d4970d73417f414ee8c649d1cea93a4 |
A003456 | Number of nonequivalent dissections of an n-gon by nonintersecting diagonals rooted at a cell up to rotation and reflection. | [
"1",
"2",
"5",
"17",
"62",
"275",
"1272",
"6225",
"31075",
"158376",
"816229",
"4251412",
"22319056",
"117998524",
"627573216",
"3355499036",
"18025442261",
"97239773408",
"526560862829",
"2861189112867",
"15595669996482",
"85252072993968",
"467247847612316",
"256709115... | [
"nonn"
] | 23 | 3 | 2 | [
"A001004",
"A003454",
"A003455",
"A003456",
"A005035",
"A295259"
] | [
"M1509"
] | N. J. A. Sloane | 2021-12-26T14:25:29 | oeisdata/seq/A003/A003456.seq | f737fbaa1b3e97c6486ae214a6cd9bcf |
A003457 | a(n) = ceiling(Bernoulli(2n)/(-4n)). | [
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"-1",
"14",
"-140",
"1804",
"-27413",
"487469",
"-10026347",
"236192434",
"-6317862397",
"190439655627",
"-6425425249652",
"241207241774251",
"-10020155328258126",
"458387180159766539",
"-22989944171828251745",
"125902359607255478... | [
"sign"
] | 20 | 1 | 10 | [
"A003414",
"A003457"
] | null | N. J. A. Sloane | 2017-06-22T05:37:34 | oeisdata/seq/A003/A003457.seq | 25de775d3547a902187be3ac48147b47 |
A003458 | Erdős-Selfridge function: a(n) is the least number m > n+1 such that the least prime factor of binomial(m, n) is > n. | [
"3",
"6",
"7",
"7",
"23",
"62",
"143",
"44",
"159",
"46",
"47",
"174",
"2239",
"239",
"719",
"241",
"5849",
"2098",
"2099",
"43196",
"14871",
"19574",
"35423",
"193049",
"2105",
"36287",
"1119",
"284",
"240479",
"58782",
"341087",
"371942",
"6459",
"... | [
"easy",
"nonn",
"nice"
] | 45 | 1 | 1 | null | [
"M2515"
] | N. J. A. Sloane, Simon Plouffe | 2025-02-16T08:32:27 | oeisdata/seq/A003/A003458.seq | 6bfc127de38b853e0039617f41884b12 |
A003459 | Absolute primes (or permutable primes): every permutation of the digits is a prime. | [
"2",
"3",
"5",
"7",
"11",
"13",
"17",
"31",
"37",
"71",
"73",
"79",
"97",
"113",
"131",
"199",
"311",
"337",
"373",
"733",
"919",
"991",
"1111111111111111111",
"11111111111111111111111"
] | [
"nonn",
"base",
"nice",
"hard"
] | 120 | 1 | 1 | [
"A002275",
"A003459",
"A004022",
"A004023",
"A010051",
"A016114",
"A023107",
"A039986",
"A103443",
"A129338",
"A141263",
"A258706"
] | [
"M0658"
] | N. J. A. Sloane | 2025-11-05T15:35:24 | oeisdata/seq/A003/A003459.seq | 687f2997296a1113b29f84d4d17924bb |
A003460 | Octal formula for dragon curve of order n. | [
"1",
"6",
"154",
"66344",
"15471166144",
"663447306235471066144",
"1547116614473162154311663447306215471066144"
] | [
"nonn"
] | 27 | 1 | 2 | null | [
"M4300"
] | N. J. A. Sloane | 2025-02-16T08:32:27 | oeisdata/seq/A003/A003460.seq | dfda3d14161760eb972ae5113bc75d89 |
A003461 | Bode numbers multiplied by 10: 4 + 3*floor(2^(n-1)). | [
"4",
"7",
"10",
"16",
"28",
"52",
"100",
"196",
"388",
"772",
"1540",
"3076",
"6148",
"12292",
"24580",
"49156",
"98308",
"196612",
"393220",
"786436",
"1572868",
"3145732",
"6291460",
"12582916",
"25165828",
"50331652",
"100663300",
"201326596",
"402653188",
... | [
"nonn",
"easy",
"nice"
] | 81 | 0 | 1 | [
"A003461",
"A061654",
"A087009"
] | [
"M3302"
] | N. J. A. Sloane, based on correspondence from W. I. McLaughlin, 1974 | 2025-07-08T16:27:40 | oeisdata/seq/A003/A003461.seq | a8efe67f6bfb6e245afede08eb88fab7 |
A003462 | a(n) = (3^n - 1)/2. | [
"0",
"1",
"4",
"13",
"40",
"121",
"364",
"1093",
"3280",
"9841",
"29524",
"88573",
"265720",
"797161",
"2391484",
"7174453",
"21523360",
"64570081",
"193710244",
"581130733",
"1743392200",
"5230176601",
"15690529804",
"47071589413",
"141214768240",
"423644304721",
... | [
"nonn",
"easy",
"nice"
] | 423 | 0 | 3 | [
"A000225",
"A000392",
"A003462",
"A004125",
"A006516",
"A014753",
"A028491",
"A033622",
"A036562",
"A036564",
"A036569",
"A039755",
"A055875",
"A059443",
"A064099",
"A065363",
"A097933",
"A113047",
"A120444",
"A179526",
"A321872",
"A341590",
"A367967",
"A367968"
] | [
"M3463"
] | N. J. A. Sloane | 2025-11-19T12:01:28 | oeisdata/seq/A003/A003462.seq | 27c6635a94ae8cee6998f09684b0f904 |
A003463 | a(n) = (5^n - 1)/4. | [
"0",
"1",
"6",
"31",
"156",
"781",
"3906",
"19531",
"97656",
"488281",
"2441406",
"12207031",
"61035156",
"305175781",
"1525878906",
"7629394531",
"38146972656",
"190734863281",
"953674316406",
"4768371582031",
"23841857910156",
"119209289550781",
"596046447753906",
"29... | [
"nonn",
"easy"
] | 197 | 0 | 3 | [
"A000351",
"A002275",
"A002450",
"A002452",
"A003462",
"A003463",
"A003464",
"A004061",
"A023000",
"A023001",
"A026375",
"A045468",
"A060458",
"A074479",
"A086122",
"A107219"
] | [
"M4209"
] | N. J. A. Sloane | 2025-11-19T12:01:53 | oeisdata/seq/A003/A003463.seq | 75a80242b53a069741a78d550fa87e45 |
A003464 | a(n) = (6^n - 1)/5. | [
"0",
"1",
"7",
"43",
"259",
"1555",
"9331",
"55987",
"335923",
"2015539",
"12093235",
"72559411",
"435356467",
"2612138803",
"15672832819",
"94036996915",
"564221981491",
"3385331888947",
"20311991333683",
"121871948002099",
"731231688012595",
"4387390128075571"
] | [
"nonn",
"easy"
] | 124 | 0 | 3 | [
"A000351",
"A000400",
"A003464",
"A003948",
"A125118"
] | [
"M4425"
] | N. J. A. Sloane | 2025-11-19T12:06:50 | oeisdata/seq/A003/A003464.seq | acb501a63e93521e8adda557a18d4916 |
A003465 | Number of ways to cover an n-set. | [
"1",
"1",
"5",
"109",
"32297",
"2147321017",
"9223372023970362989",
"170141183460469231667123699502996689125",
"57896044618658097711785492504343953925273862865136528166133547991141168899281"
] | [
"nonn",
"easy",
"nice"
] | 94 | 0 | 3 | [
"A000110",
"A000371",
"A003465",
"A007537",
"A055154",
"A055621",
"A186021",
"A326914",
"A326962",
"A369950"
] | [
"M4024"
] | N. J. A. Sloane | 2025-11-05T15:35:24 | oeisdata/seq/A003/A003465.seq | ed2f858f5d027696c6adbdfb4d3f9b4b |
A003466 | Number of minimal covers of an n-set that have exactly one point which appears in more than one set in the cover. | [
"0",
"3",
"28",
"210",
"1506",
"10871",
"80592",
"618939",
"4942070",
"41076508",
"355372524",
"3198027157",
"29905143464",
"290243182755",
"2920041395248",
"30414515081650",
"327567816748638",
"3643600859114439",
"41809197852127240",
"494367554679088923",
"601748171409532741... | [
"nonn"
] | 32 | 2 | 2 | [
"A003466",
"A046165",
"A282575"
] | [
"M3117"
] | N. J. A. Sloane | 2023-10-21T19:51:53 | oeisdata/seq/A003/A003466.seq | 4a5766e32390da48a0b4f2d0781199a3 |
A003467 | Number of minimal covers of an n-set that cover exactly 3 points uniquely. | [
"5",
"28",
"190",
"1340",
"9065",
"57512",
"344316",
"1966440",
"10813935",
"57672340",
"299893594",
"1526727748",
"7633634645",
"37580965520",
"182536112120",
"876173330832",
"4161823312731",
"19585050873180",
"91396904062870",
"423311976698380",
"1947235092796609",
"89016... | [
"nonn",
"easy"
] | 39 | 3 | 1 | [
"A003467",
"A035347"
] | [
"M3951"
] | N. J. A. Sloane | 2023-10-21T18:39:13 | oeisdata/seq/A003/A003467.seq | ce17a9375f8ff553014d428d72fefcd4 |
A003468 | Number of minimal 3-covers of a labeled n-set. | [
"1",
"22",
"305",
"3410",
"33621",
"305382",
"2619625",
"21554170",
"171870941",
"1337764142",
"10216988145",
"76862115330",
"571247591461",
"4203844925302",
"30687029023865",
"222518183370890",
"1604626924403181",
"11518132293452862"
] | [
"nonn"
] | 67 | 3 | 2 | [
"A000302",
"A000392",
"A003468",
"A005060",
"A005783",
"A005786",
"A016103",
"A016111",
"A046166",
"A046169",
"A055066",
"A057668",
"A143496"
] | [
"M5125"
] | N. J. A. Sloane | 2025-02-16T08:32:27 | oeisdata/seq/A003/A003468.seq | 9054b26a3188196f6c57d44705fa63d6 |
A003469 | Number of minimal covers of an (n + 1)-set by a collection of n nonempty subsets, a(n) = A035348(n,n-1). | [
"1",
"6",
"22",
"65",
"171",
"420",
"988",
"2259",
"5065",
"11198",
"24498",
"53157",
"114583",
"245640",
"524152",
"1113959",
"2359125",
"4980546",
"10485550",
"22019865",
"46137091",
"96468716",
"201326292",
"419430075",
"872414881",
"1811938950",
"3758095978",
... | [
"nonn",
"easy"
] | 90 | 1 | 2 | [
"A003469",
"A053218",
"A053221"
] | [
"M4153"
] | N. J. A. Sloane | 2025-10-12T13:38:07 | oeisdata/seq/A003/A003469.seq | 98e638f62abd9c6f2c1654d17076e46a |
A003470 | a(n) = n*a(n-1) - a(n-2) + 1 + (-1)^n. | [
"1",
"1",
"3",
"8",
"31",
"147",
"853",
"5824",
"45741",
"405845",
"4012711",
"43733976",
"520795003",
"6726601063",
"93651619881",
"1398047697152",
"22275111534553",
"377278848390249",
"6768744159489931",
"128228860181918440",
"2557808459478878871",
"53585748788874537851",... | [
"nonn",
"easy"
] | 63 | 0 | 3 | [
"A003470",
"A008279",
"A072374",
"A086764",
"A143409"
] | [
"M2759"
] | N. J. A. Sloane and John Riordan | 2022-11-25T10:41:22 | oeisdata/seq/A003/A003470.seq | 2858b5708151bb22dc90e1972efa4eed |
A003471 | Number of permutations with no hits on 2 main diagonals. | [
"1",
"0",
"0",
"0",
"4",
"16",
"80",
"672",
"4752",
"48768",
"440192",
"5377280",
"59245120",
"839996160",
"10930514688",
"176547098112",
"2649865335040",
"48047352500224",
"817154768973824",
"16438490531536896",
"312426715251262464",
"6906073926286725120",
"1450602386427... | [
"nonn",
"easy",
"nice"
] | 82 | 0 | 5 | [
"A000166",
"A002777",
"A003471",
"A225740",
"A335872"
] | [
"M3525"
] | N. J. A. Sloane | 2024-12-29T14:08:02 | oeisdata/seq/A003/A003471.seq | f33611cfb58d612b6012cb54b58357df |
A003472 | a(n) = 2^(n-4)*C(n,4). | [
"1",
"10",
"60",
"280",
"1120",
"4032",
"13440",
"42240",
"126720",
"366080",
"1025024",
"2795520",
"7454720",
"19496960",
"50135040",
"127008768",
"317521920",
"784465920",
"1917583360",
"4642570240",
"11142168576",
"26528972800",
"62704844800",
"147220070400"
] | [
"nonn",
"easy",
"nice"
] | 86 | 4 | 2 | [
"A001787",
"A001788",
"A001789",
"A003472",
"A038207"
] | [
"M4718"
] | N. J. A. Sloane | 2025-11-05T15:21:43 | oeisdata/seq/A003/A003472.seq | b00cc5c89d3f1d3b48370d8cef51c1ce |
A003473 | Generalized Euler phi function (for p=2). | [
"1",
"2",
"3",
"8",
"15",
"24",
"49",
"128",
"189",
"480",
"1023",
"1536",
"4095",
"6272",
"10125",
"32768",
"65025",
"96768",
"262143",
"491520",
"583443",
"2095104",
"4190209",
"6291456",
"15728625",
"33546240",
"49545027",
"102760448",
"268435455",
"33177... | [
"nonn"
] | 60 | 1 | 2 | [
"A003473",
"A003474",
"A027362",
"A086479",
"A192037"
] | [
"M0875"
] | N. J. A. Sloane | 2025-11-05T15:21:43 | oeisdata/seq/A003/A003473.seq | 8852008c8b1f2cf508c058dbbf634809 |
A003474 | Generalized Euler phi function (for p=3). | [
"1",
"4",
"18",
"32",
"160",
"324",
"1456",
"2048",
"13122",
"25600",
"117128",
"209952",
"913952",
"2119936",
"9447840",
"13107200",
"86093440",
"172186884",
"774840976",
"1310720000",
"6964002864",
"13718968384",
"62761410632",
"88159684608",
"557885504000",
"8353... | [
"nonn"
] | 37 | 1 | 2 | [
"A003473",
"A003474",
"A192037"
] | [
"M3541"
] | N. J. A. Sloane | 2025-02-19T01:07:12 | oeisdata/seq/A003/A003474.seq | c09ac4c947752cf8e50a4cda89526a00 |
A003475 | Expansion of Sum_{k>0} (-1)^(k+1) q^(k^2) / ((1-q)(1-q^3)(1-q^5)...(1-q^(2k-1))). | [
"1",
"1",
"1",
"0",
"0",
"0",
"-1",
"-1",
"0",
"-1",
"-1",
"0",
"-1",
"0",
"1",
"-1",
"0",
"1",
"0",
"1",
"1",
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"-1",
"0",
"0",
"0",
"1",
"-1",
"-1",
"-1",
"0",
"0",
"-1",
"0",
"-1",
"0"... | [
"sign"
] | 45 | 1 | 70 | [
"A003406",
"A003475",
"A053251",
"A158690"
] | null | N. J. A. Sloane | 2020-08-06T00:31:06 | oeisdata/seq/A003/A003475.seq | e2742b3441372739c0d35162209c7047 |
A003476 | a(n) = a(n-1) + 2*a(n-3). | [
"1",
"2",
"3",
"5",
"9",
"15",
"25",
"43",
"73",
"123",
"209",
"355",
"601",
"1019",
"1729",
"2931",
"4969",
"8427",
"14289",
"24227",
"41081",
"69659",
"118113",
"200275",
"339593",
"575819",
"976369",
"1655555",
"2807193",
"4759931",
"8071041",
"136854... | [
"nonn",
"easy"
] | 44 | 1 | 2 | [
"A003229",
"A003476",
"A052537",
"A078044"
] | [
"M0705"
] | N. J. A. Sloane | 2023-10-21T19:24:06 | oeisdata/seq/A003/A003476.seq | f2387e358f88d6865c72c50564163529 |
A003477 | Expansion of 1/((1-2x)(1+x^2)(1-x-2x^3)). | [
"1",
"3",
"6",
"14",
"33",
"71",
"150",
"318",
"665",
"1375",
"2830",
"5798",
"11825",
"24039",
"48742",
"98606",
"199113",
"401455",
"808382",
"1626038",
"3267809",
"6562295",
"13169814",
"26416318",
"52962681",
"106145855",
"212665582",
"425965126",
"8530052... | [
"nonn",
"easy"
] | 82 | 0 | 2 | [
"A003230",
"A003477",
"A077854",
"A077949"
] | [
"M2579"
] | N. J. A. Sloane | 2022-04-13T13:25:16 | oeisdata/seq/A003/A003477.seq | c7539f01952eb112fe4c8ff4b5aeaa88 |
A003478 | Expansion of 1/((1-2*x)*(1-x-2*x^3)). | [
"1",
"3",
"7",
"17",
"39",
"85",
"183",
"389",
"815",
"1693",
"3495",
"7173",
"14655",
"29837",
"60567",
"122645",
"247855",
"500061",
"1007495",
"2027493",
"4076191",
"8188333",
"16437623",
"32978613",
"66132495",
"132562173",
"265628263",
"532110981",
"10656... | [
"nonn",
"easy"
] | 52 | 0 | 2 | null | [
"M2662"
] | N. J. A. Sloane | 2023-10-21T19:57:53 | oeisdata/seq/A003/A003478.seq | 643291d0409a6d0854212adb43e46834 |
A003479 | Expansion of 1/((1-x)*(1-x-2*x^3)). | [
"1",
"2",
"3",
"6",
"11",
"18",
"31",
"54",
"91",
"154",
"263",
"446",
"755",
"1282",
"2175",
"3686",
"6251",
"10602",
"17975",
"30478",
"51683",
"87634",
"148591",
"251958",
"427227",
"724410",
"1228327",
"2082782",
"3531603",
"5988258",
"10153823",
"17... | [
"easy",
"nonn"
] | 47 | 0 | 2 | [
"A003229",
"A003479"
] | [
"M0781"
] | N. J. A. Sloane | 2023-10-21T23:48:46 | oeisdata/seq/A003/A003479.seq | 3b7672da3e5be9bdb522d893f971a20d |
A003480 | a(0) = 1, a(1) = 2, for n > 1, a(n) = 4*a(n-1) - 2*a(n-2). | [
"1",
"2",
"7",
"24",
"82",
"280",
"956",
"3264",
"11144",
"38048",
"129904",
"443520",
"1514272",
"5170048",
"17651648",
"60266496",
"205762688",
"702517760",
"2398545664",
"8189147136",
"27959497216",
"95459694592",
"325919783936",
"1112759746560",
"3799199418368",
... | [
"nonn",
"easy",
"nice"
] | 212 | 0 | 2 | [
"A000129",
"A001003",
"A001835",
"A003480",
"A006012",
"A007052",
"A007070",
"A029744",
"A059576",
"A126764",
"A145839",
"A145840",
"A145841",
"A181289",
"A228405",
"A261780"
] | [
"M1763"
] | N. J. A. Sloane | 2025-11-05T15:21:43 | oeisdata/seq/A003/A003480.seq | cada1d9a04656a480138ebdfa456bba9 |
A003481 | a(n) = 7*a(n-1) - a(n-2) + 5. | [
"2",
"20",
"143",
"986",
"6764",
"46367",
"317810",
"2178308",
"14930351",
"102334154",
"701408732",
"4807526975",
"32951280098",
"225851433716",
"1548008755919",
"10610209857722",
"72723460248140",
"498454011879263",
"3416454622906706",
"23416728348467684",
"1605006438163670... | [
"nonn",
"easy"
] | 48 | 0 | 1 | [
"A003481",
"A033888"
] | [
"M2120"
] | N. J. A. Sloane | 2025-08-27T06:58:45 | oeisdata/seq/A003/A003481.seq | a45fe948fc74137b1fc599975a9b1552 |
A003482 | a(n) = 7*a(n-1) - a(n-2) + 4, with a(0) = 0, a(1) = 5. | [
"0",
"5",
"39",
"272",
"1869",
"12815",
"87840",
"602069",
"4126647",
"28284464",
"193864605",
"1328767775",
"9107509824",
"62423800997",
"427859097159",
"2932589879120",
"20100270056685",
"137769300517679",
"944284833567072",
"6472224534451829",
"44361286907595735",
"30405... | [
"nonn",
"easy"
] | 90 | 0 | 2 | [
"A000045",
"A001109",
"A001654",
"A003482",
"A081018",
"A206351"
] | [
"M3988"
] | N. J. A. Sloane | 2025-12-12T09:53:59 | oeisdata/seq/A003/A003482.seq | c4119e28232f363d2f31d612b61d5945 |
A003483 | Number of square permutations of n elements. | [
"1",
"1",
"1",
"3",
"12",
"60",
"270",
"1890",
"14280",
"128520",
"1096200",
"12058200",
"139043520",
"1807565760",
"22642139520",
"339632092800",
"5237183952000",
"89032127184000",
"1475427973219200",
"28033131491164800",
"543494606861606400",
"11413386744093734400",
"23... | [
"nonn",
"easy",
"nice"
] | 99 | 0 | 4 | [
"A003483",
"A103619",
"A103620",
"A215716",
"A215717",
"A215718",
"A246945",
"A247005",
"A247621"
] | [
"M2931"
] | N. J. A. Sloane | 2025-11-05T15:35:24 | oeisdata/seq/A003/A003483.seq | bb130de4f9c10d0cc2084e8ad308a013 |
A003484 | Radon function, also called Hurwitz-Radon numbers. | [
"1",
"2",
"1",
"4",
"1",
"2",
"1",
"8",
"1",
"2",
"1",
"4",
"1",
"2",
"1",
"9",
"1",
"2",
"1",
"4",
"1",
"2",
"1",
"8",
"1",
"2",
"1",
"4",
"1",
"2",
"1",
"10",
"1",
"2",
"1",
"4",
"1",
"2",
"1",
"8",
"1",
"2",
"1",
"4",
"1",
... | [
"nonn",
"easy",
"core",
"nice",
"mult"
] | 108 | 1 | 2 | [
"A003484",
"A003485",
"A006519",
"A007814",
"A053381",
"A101119"
] | [
"M0161"
] | N. J. A. Sloane | 2025-12-16T12:11:04 | oeisdata/seq/A003/A003484.seq | b6697401fea191c009bc2ff5adefdd11 |
A003485 | Hurwitz-Radon function at powers of 2. | [
"1",
"2",
"4",
"8",
"9",
"10",
"12",
"16",
"17",
"18",
"20",
"24",
"25",
"26",
"28",
"32",
"33",
"34",
"36",
"40",
"41",
"42",
"44",
"48",
"49",
"50",
"52",
"56",
"57",
"58",
"60",
"64",
"65",
"66",
"68",
"72",
"73",
"74",
"76",
"80",
"... | [
"easy",
"nonn",
"nice"
] | 66 | 0 | 2 | [
"A003484",
"A003485",
"A008621",
"A047466",
"A047507",
"A209675"
] | [
"M1086"
] | N. J. A. Sloane | 2025-11-05T15:21:43 | oeisdata/seq/A003/A003485.seq | f0ff0126a5ed7c8cc3c794be0e5eb1fb |
A003486 | a(n) = (n^2 + 1)*3^n. | [
"1",
"6",
"45",
"270",
"1377",
"6318",
"26973",
"109350",
"426465",
"1614006",
"5963949",
"21611934",
"77058945",
"271034910",
"942244893",
"3242852982",
"11063007297",
"37450647270",
"125911658925",
"420738651054",
"1398200544801",
"4623476115726"
] | [
"nonn",
"easy"
] | 26 | 0 | 2 | null | null | N. J. A. Sloane | 2022-09-08T08:44:32 | oeisdata/seq/A003/A003486.seq | 61d35c659ebbfb1416c99e3316fbbd4f |
A003487 | a(n) = a(n-1)^2 - 2, with a(0) = 5. | [
"5",
"23",
"527",
"277727",
"77132286527",
"5949389624883225721727",
"35395236908668169265765137996816180039862527",
"1252822795820745419377249396736955608088527968701950139470082687906021780162741058825727"
] | [
"nonn",
"easy"
] | 64 | 0 | 1 | [
"A001566",
"A001601",
"A003010",
"A003423",
"A003487",
"A145504"
] | [
"M3926"
] | N. J. A. Sloane | 2025-01-12T13:08:54 | oeisdata/seq/A003/A003487.seq | 8feac9c6c99a2879837068eb92f0a845 |
A003488 | High temperature series for spin-1/2 Ising surface susceptibility on planar hexagonal lattice. | [
"4",
"36",
"232",
"1308",
"6808",
"33560",
"159108"
] | [
"nonn",
"more"
] | 18 | 1 | 1 | null | [
"M3662"
] | N. J. A. Sloane | 2023-10-21T23:48:21 | oeisdata/seq/A003/A003488.seq | a0e950dec306d90a19778d34ec0816c6 |
A003489 | High temperature series for spin-1/2 Ising surface susceptibility on square lattice. | [
"4",
"20",
"84",
"292",
"980",
"3052",
"9316",
"27396",
"79412"
] | [
"nonn",
"more"
] | 14 | 1 | 1 | null | [
"M3564"
] | N. J. A. Sloane | 2023-10-21T23:48:17 | oeisdata/seq/A003/A003489.seq | 2582d302cea184d50f4cf91ba3b58d2d |
A003490 | High temperature series for spin-1/2 Ising surface susceptibility on 3-dimensional simple cubic lattice. | [
"2",
"20",
"142",
"880",
"5106",
"28252",
"152142",
"799736",
"4141426",
"21133476",
"106827054"
] | [
"nonn",
"more"
] | 18 | 1 | 1 | null | [
"M2119"
] | N. J. A. Sloane | 2023-10-21T23:48:14 | oeisdata/seq/A003/A003490.seq | 07fbc29b5dcdc2ae5b4717cb471c5850 |
A003491 | High temperature series for spin-1/2 Ising surface susceptibility on f.c.c. lattice. | [
"8",
"152",
"2200",
"28520",
"347416",
"4068024",
"46360392"
] | [
"nonn",
"more"
] | 16 | 1 | 1 | null | [
"M4576"
] | N. J. A. Sloane | 2023-10-21T23:48:10 | oeisdata/seq/A003/A003491.seq | ef436a3036da6ca8604bab5297d3f721 |
A003492 | High temperature series for spin-1/2 Ising surface susceptibility on b.c.c. lattice. | [
"8",
"88",
"840",
"6888",
"54824",
"412712",
"3065096",
"22134152"
] | [
"nonn",
"more"
] | 16 | 1 | 1 | null | [
"M4562"
] | N. J. A. Sloane | 2023-10-21T23:48:07 | oeisdata/seq/A003/A003492.seq | f3164c8449310ef6b761c1f97165cca6 |
A003493 | High temperature series for spin-1/2 Ising surface susceptibility on square lattice. | [
"2",
"12",
"50",
"180",
"606",
"1924",
"5910",
"17564",
"51186",
"146180"
] | [
"nonn",
"more"
] | 14 | 1 | 1 | null | [
"M2022"
] | N. J. A. Sloane | 2023-10-21T23:48:03 | oeisdata/seq/A003/A003493.seq | 2595b90385367a87b0bb83c8ef80550c |
A003494 | High temperature series for susceptibility for spherical model on b.c.c. lattice. | [
"1",
"8",
"56",
"384",
"2536",
"16512",
"105664",
"669696",
"4201832",
"26183808",
"162073408",
"998129664",
"6117389760",
"37346353152",
"227164816896",
"1377490599936",
"8328848160360"
] | [
"nonn",
"more"
] | 19 | 0 | 2 | [
"A002914",
"A003279",
"A003494",
"A003495",
"A003497"
] | [
"M4543"
] | N. J. A. Sloane | 2023-10-19T07:37:36 | oeisdata/seq/A003/A003494.seq | 4685db3d6ce26c3eb0673568567d5ee5 |
A003495 | High temperature series for susceptibility for spherical model on f.c.c. lattice. | [
"1",
"12",
"132",
"1392",
"14292",
"144000",
"1430592",
"14057280",
"136914804",
"1323843936",
"12722294736",
"121625850240",
"1157512059936",
"10972654675200",
"103654156958208",
"976153872234240",
"9167420099612340"
] | [
"nonn",
"more"
] | 19 | 0 | 2 | [
"A002921",
"A003279",
"A003494",
"A003495",
"A003498"
] | [
"M4865"
] | N. J. A. Sloane | 2023-10-19T07:37:42 | oeisdata/seq/A003/A003495.seq | 390b13ef05d6170a2984d4a4ad4e95fa |
A003496 | High temperature series for spherical model internal energy on 3-dimensional simple cubic lattice. | [
"1",
"6",
"18",
"132",
"810",
"5724",
"42156",
"323352",
"2550042",
"20559660",
"168680196"
] | [
"nonn",
"more"
] | 18 | 0 | 2 | null | [
"M4127"
] | N. J. A. Sloane | 2023-10-21T23:47:59 | oeisdata/seq/A003/A003496.seq | 5fb8e74453c44e8966a4ccc0fe6ec27e |
A003497 | Internal energy series for b.c.c. lattice. | [
"1",
"8",
"88",
"1216",
"19160",
"327232",
"5896896",
"110393856",
"2126213592",
"41861519680",
"838733719616"
] | [
"nonn",
"more"
] | 16 | 0 | 2 | null | [
"M4563"
] | N. J. A. Sloane | 2023-10-21T23:47:56 | oeisdata/seq/A003/A003497.seq | 232c89c6e3715f3dd2df96b692a58594 |
A003498 | High temperature series for internal energy for spherical model on f.c.c. lattice. | [
"1",
"12",
"48",
"252",
"1440",
"8544",
"52416",
"330588",
"2130240",
"13961808",
"92784384",
"623772288",
"4234688640",
"28990262016",
"199908428544",
"1387276513308",
"9681052037760",
"67895140257840",
"478281284627328",
"3382695596455344"
] | [
"nonn",
"more"
] | 19 | 0 | 2 | [
"A003495",
"A003496",
"A003497",
"A003498",
"A047712"
] | [
"M4839"
] | N. J. A. Sloane | 2023-10-19T07:37:47 | oeisdata/seq/A003/A003498.seq | aa9eeb7644b7fe809db1ab33f663a013 |
A003499 | a(n) = 6*a(n-1) - a(n-2), with a(0) = 2, a(1) = 6. | [
"2",
"6",
"34",
"198",
"1154",
"6726",
"39202",
"228486",
"1331714",
"7761798",
"45239074",
"263672646",
"1536796802",
"8957108166",
"52205852194",
"304278004998",
"1773462177794",
"10336495061766",
"60245508192802",
"351136554095046",
"2046573816377474",
"11928306344169798... | [
"nonn",
"easy"
] | 221 | 0 | 1 | [
"A002203",
"A003499",
"A081555",
"A103999",
"A174501",
"A188645"
] | [
"M1701"
] | N. J. A. Sloane | 2025-10-21T05:48:24 | oeisdata/seq/A003/A003499.seq | 0f968c40a2f3f8431a1a3e16d3ef5059 |
A003500 | a(n) = 4*a(n-1) - a(n-2) with a(0) = 2, a(1) = 4. | [
"2",
"4",
"14",
"52",
"194",
"724",
"2702",
"10084",
"37634",
"140452",
"524174",
"1956244",
"7300802",
"27246964",
"101687054",
"379501252",
"1416317954",
"5285770564",
"19726764302",
"73621286644",
"274758382274",
"1025412242452",
"3826890587534",
"14282150107684",
... | [
"nonn",
"easy",
"nice",
"changed"
] | 259 | 0 | 1 | [
"A001075",
"A001353",
"A001570",
"A001835",
"A002530",
"A003500",
"A005320",
"A006051",
"A011943",
"A011945",
"A016064",
"A019673",
"A048788",
"A102344",
"A105531",
"A174500",
"A268281",
"A334277",
"A335025"
] | [
"M1278"
] | N. J. A. Sloane | 2026-01-13T08:14:00 | oeisdata/seq/A003/A003500.seq | 77a87edad8e0cbbd118f876c24b23fdb |
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