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2025-04-25 01:21:50
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A001301 | Number of ways of making change for n cents using coins of 1, 2, 5, 10, 25 cents. | [
"1",
"1",
"2",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"11",
"12",
"15",
"16",
"19",
"22",
"25",
"28",
"31",
"34",
"40",
"43",
"49",
"52",
"58",
"65",
"71",
"78",
"84",
"91",
"102",
"109",
"120",
"127",
"138",
"151",
"162",
"175",
"186",
"199",
"217",
"230",
"248",
"261",
"279",
"300",
"318",
"339",
"357",
"378",
"406",
"427",
"455",
"476",
"504",
"536",
"564",
"596",
"624",
"656"
] | [
"nonn"
] | 41 | 0 | 5 | null | null | N. J. A. Sloane | 2021-12-19T09:55:17 | oeisdata/seq/A001/A001301.seq | af4aa9ce2863e36918f56008e59e99c7 |
A001302 | Number of ways of making change for n cents using coins of 1, 2, 5, 10, 25, 50 cents. | [
"1",
"1",
"2",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"11",
"12",
"15",
"16",
"19",
"22",
"25",
"28",
"31",
"34",
"40",
"43",
"49",
"52",
"58",
"65",
"71",
"78",
"84",
"91",
"102",
"109",
"120",
"127",
"138",
"151",
"162",
"175",
"186",
"199",
"217",
"230",
"248",
"261",
"279",
"300",
"318",
"339",
"357",
"378",
"407",
"428",
"457",
"478",
"507",
"540",
"569",
"602",
"631",
"664"
] | [
"nonn"
] | 46 | 0 | 5 | null | null | N. J. A. Sloane | 2021-06-05T22:07:35 | oeisdata/seq/A001/A001302.seq | 06a4b3c7f60f0cce0f7a1177bba3f257 |
A001303 | Stirling numbers of first kind, s(n+3, n), negated. | [
"6",
"50",
"225",
"735",
"1960",
"4536",
"9450",
"18150",
"32670",
"55770",
"91091",
"143325",
"218400",
"323680",
"468180",
"662796",
"920550",
"1256850",
"1689765",
"2240315",
"2932776",
"3795000",
"4858750",
"6160050",
"7739550",
"9642906",
"11921175",
"14631225",
"17836160",
"21605760",
"26016936",
"31154200"
] | [
"nonn",
"easy"
] | 92 | 0 | 5 | [
"A000217",
"A001297",
"A001303",
"A008275"
] | [
"M4258",
"N1779"
] | N. J. A. Sloane | 2022-10-21T21:57:59 | oeisdata/seq/A001/A001303.seq | d99ceaa53c8e32a5237c2cf1d5d3abb5 |
A001304 | Expansion of 1/((1-x)^2*(1-x^2)*(1-x^5)). | [
"1",
"2",
"4",
"6",
"9",
"13",
"18",
"24",
"31",
"39",
"49",
"60",
"73",
"87",
"103",
"121",
"141",
"163",
"187",
"213",
"242",
"273",
"307",
"343",
"382",
"424",
"469",
"517",
"568",
"622",
"680",
"741",
"806",
"874",
"946",
"1022",
"1102",
"1186",
"1274",
"1366",
"1463",
"1564",
"1670",
"1780",
"1895",
"2015",
"2140",
"2270",
"2405",
"2545",
"2691",
"2842"
] | [
"nonn",
"easy"
] | 38 | 0 | 5 | [
"A000115",
"A001304"
] | null | N. J. A. Sloane | 2022-02-03T00:33:10 | oeisdata/seq/A001/A001304.seq | 880231f8cd224fe37b89466c9c5718df |
A001305 | Expansion of 1/((1-x)^2*(1-x^2)*(1-x^5)*(1-x^10)*(1-x^20)). | [
"1",
"2",
"4",
"6",
"9",
"13",
"18",
"24",
"31",
"39",
"50",
"62",
"77",
"93",
"112",
"134",
"159",
"187",
"218",
"252",
"293",
"337",
"388",
"442",
"503",
"571",
"646",
"728",
"817",
"913",
"1022",
"1138",
"1267",
"1403",
"1552",
"1714",
"1889",
"2077",
"2278",
"2492",
"2728",
"2977",
"3248",
"3532",
"3838",
"4166",
"4516",
"4888",
"5282",
"5698",
"6148"
] | [
"nonn",
"easy"
] | 31 | 0 | 5 | null | null | N. J. A. Sloane | 2017-04-18T07:02:35 | oeisdata/seq/A001/A001305.seq | 2754d14ff3265a53b687666d1361b544 |
A001306 | Number of ways of making change for n cents using coins of 1, 5, 10, 20, 50, 100 cents. | [
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"2",
"2",
"2",
"4",
"4",
"4",
"4",
"4",
"6",
"6",
"6",
"6",
"6",
"10",
"10",
"10",
"10",
"10",
"14",
"14",
"14",
"14",
"14",
"20",
"20",
"20",
"20",
"20",
"26",
"26",
"26",
"26",
"26",
"35",
"35",
"35",
"35",
"35",
"44",
"44",
"44",
"44",
"44",
"57",
"57",
"57",
"57",
"57",
"70",
"70",
"70",
"70",
"70",
"88",
"88",
"88",
"88",
"88",
"106",
"106",
"106",
"106"
] | [
"nonn"
] | 30 | 0 | 5 | null | null | N. J. A. Sloane | 2022-02-03T00:33:24 | oeisdata/seq/A001/A001306.seq | dd369846fd051da37c3aa9050418178d |
A001307 | Expansion of 1/(1-x)^2/(1-x^2)/(1-x^4)/(1-x^10)/(1-x^20). | [
"1",
"2",
"4",
"6",
"10",
"14",
"20",
"26",
"35",
"44",
"57",
"70",
"88",
"106",
"130",
"154",
"185",
"216",
"255",
"294",
"344",
"394",
"456",
"518",
"595",
"672",
"765",
"858",
"970",
"1082",
"1216",
"1350",
"1509",
"1668",
"1855",
"2042",
"2260",
"2478",
"2730",
"2982",
"3274",
"3566",
"3901",
"4236",
"4620",
"5004",
"5440",
"5876",
"6370",
"6864"
] | [
"nonn",
"easy"
] | 34 | 0 | 5 | null | null | N. J. A. Sloane | 2022-02-03T00:33:41 | oeisdata/seq/A001/A001307.seq | 8d2b75eda6cfadfdd6e015522fdd107a |
A001308 | Order of Chevalley group D_n (2). | [
"1",
"36",
"20160",
"174182400",
"23499295948800",
"50027557148216524800",
"1691555775522928280469504000",
"911666827031785075278550369566720000",
"7846393898179181843651374899795632943267840000"
] | [
"nonn",
"easy"
] | 10 | 0 | 5 | [
"A001308",
"A003923"
] | null | N. J. A. Sloane | 2024-06-14T22:31:08 | oeisdata/seq/A001/A001308.seq | 87d90c9f1761fa3353226488afcda475 |
A001309 | Order of real Clifford group L_n connected with Barnes-Wall lattices in dimension 2^n. | [
"2",
"16",
"2304",
"5160960",
"178362777600",
"96253116206284800",
"819651496316379542323200",
"110857799304670627788849414144000",
"238987988705420266773820308079698247680000"
] | [
"nonn",
"easy",
"nice"
] | 27 | 0 | 5 | [
"A001308",
"A001309",
"A003956",
"A014115",
"A014116"
] | null | N. J. A. Sloane, Peter Shor | 2022-06-21T03:15:06 | oeisdata/seq/A001/A001309.seq | f3a8e6a4da682742dafe15acbedbff99 |
A001310 | Number of ways of making change for n cents using coins of 1, 2, 4, 10, 20, 40, 100 cents. | [
"1",
"1",
"2",
"2",
"4",
"4",
"6",
"6",
"9",
"9",
"13",
"13",
"18",
"18",
"24",
"24",
"31",
"31",
"39",
"39",
"50",
"50",
"62",
"62",
"77",
"77",
"93",
"93",
"112",
"112",
"134",
"134",
"159",
"159",
"187",
"187",
"218",
"218",
"252",
"252",
"293",
"293",
"337",
"337",
"388",
"388",
"442",
"442",
"503",
"503",
"571",
"571",
"646",
"646",
"728",
"728",
"817",
"817",
"913"
] | [
"nonn"
] | 35 | 0 | 5 | null | null | N. J. A. Sloane | 2022-02-01T01:28:47 | oeisdata/seq/A001/A001310.seq | ebc51aad5f3febe2152cda7365086795 |
A001311 | Final 2 digits of 6^n. | [
"1",
"6",
"36",
"16",
"96",
"76",
"56",
"36",
"16",
"96",
"76",
"56",
"36",
"16",
"96",
"76",
"56",
"36",
"16",
"96",
"76",
"56",
"36",
"16",
"96",
"76",
"56",
"36",
"16",
"96",
"76",
"56",
"36",
"16",
"96",
"76",
"56",
"36",
"16",
"96",
"76",
"56",
"36",
"16",
"96",
"76",
"56",
"36",
"16",
"96",
"76",
"56",
"36",
"16",
"96"
] | [
"nonn",
"easy"
] | 22 | 0 | 5 | null | null | N. J. A. Sloane | 2022-09-08T08:44:29 | oeisdata/seq/A001/A001311.seq | 69ba2c7118c8e9f6657b8aafd91218b0 |
A001312 | Number of ways of making change for n cents using coins of 1, 2, 5, 10, 50, 100 cents. | [
"1",
"1",
"2",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"11",
"12",
"15",
"16",
"19",
"22",
"25",
"28",
"31",
"34",
"40",
"43",
"49",
"52",
"58",
"64",
"70",
"76",
"82",
"88",
"98",
"104",
"114",
"120",
"130",
"140",
"150",
"160",
"170",
"180",
"195",
"205",
"220",
"230",
"245",
"260",
"275",
"290",
"305",
"320",
"342",
"357",
"379",
"394",
"416",
"438",
"460",
"482",
"504",
"526"
] | [
"nonn",
"easy"
] | 35 | 0 | 5 | null | null | N. J. A. Sloane | 2022-02-01T01:29:26 | oeisdata/seq/A001/A001312.seq | 89bc09574de116f5cfae154ed53e9ca5 |
A001313 | Number of ways of making change for n cents using coins of 1, 2, 5, 10, 20, 50 cents. | [
"1",
"1",
"2",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"11",
"12",
"15",
"16",
"19",
"22",
"25",
"28",
"31",
"34",
"41",
"44",
"51",
"54",
"61",
"68",
"75",
"82",
"89",
"96",
"109",
"116",
"129",
"136",
"149",
"162",
"175",
"188",
"201",
"214",
"236",
"249",
"271",
"284",
"306",
"328",
"350",
"372",
"394",
"416",
"451",
"473",
"508",
"530",
"565",
"600",
"635",
"670",
"705",
"740"
] | [
"nonn",
"easy"
] | 37 | 0 | 5 | [
"A001313",
"A001319"
] | null | N. J. A. Sloane | 2022-02-01T01:29:45 | oeisdata/seq/A001/A001313.seq | b5038786e4e095153eaf64c849cb3ba4 |
A001314 | Number of (unordered) ways of making change for n cents using coins of 2, 5 (two kinds), 10, 20, 50 cents. | [
"1",
"0",
"1",
"0",
"1",
"2",
"1",
"2",
"1",
"2",
"5",
"2",
"5",
"2",
"5",
"8",
"5",
"8",
"5",
"8",
"15",
"8",
"15",
"8",
"15",
"22",
"15",
"22",
"15",
"22",
"35",
"22",
"35",
"22",
"35",
"48",
"35",
"48",
"35",
"48",
"70",
"48",
"70",
"48",
"70",
"92",
"70",
"92",
"70",
"92",
"127",
"92",
"127",
"92",
"127",
"162",
"127",
"162",
"127",
"162",
"215",
"162",
"215",
"162",
"215",
"268"
] | [
"nonn"
] | 30 | 0 | 5 | null | null | N. J. A. Sloane | 2023-09-23T16:46:00 | oeisdata/seq/A001/A001314.seq | 6294a333c18dc0fe44d6e0e7b9a5b246 |
A001315 | a(n) = Sum_{k=0..n} 2^binomial(n,k). | [
"2",
"4",
"8",
"20",
"100",
"2116",
"1114244",
"68723671300",
"1180735735906024030724",
"170141183460507917357914971986913657860"
] | [
"nonn"
] | 19 | 0 | 5 | null | [
"M1158",
"N0441"
] | N. J. A. Sloane | 2022-02-03T02:31:33 | oeisdata/seq/A001/A001315.seq | c618fcfa10949519e4d7083181b5246a |
A001316 | Gould's sequence: a(n) = Sum_{k=0..n} (binomial(n,k) mod 2); number of odd entries in row n of Pascal's triangle (A007318); a(n) = 2^A000120(n). | [
"1",
"2",
"2",
"4",
"2",
"4",
"4",
"8",
"2",
"4",
"4",
"8",
"4",
"8",
"8",
"16",
"2",
"4",
"4",
"8",
"4",
"8",
"8",
"16",
"4",
"8",
"8",
"16",
"8",
"16",
"16",
"32",
"2",
"4",
"4",
"8",
"4",
"8",
"8",
"16",
"4",
"8",
"8",
"16",
"8",
"16",
"16",
"32",
"4",
"8",
"8",
"16",
"8",
"16",
"16",
"32",
"8",
"16",
"16",
"32",
"16",
"32",
"32",
"64",
"2",
"4",
"4",
"8",
"4",
"8",
"8",
"16",
"4",
"8",
"8",
"16",
"8",
"16",
"16",
"32",
"4",
"8",
"8",
"16",
"8",
"16",
"16",
"32"
] | [
"nonn",
"easy",
"nice",
"changed"
] | 350 | 0 | 5 | [
"A000012",
"A000027",
"A000079",
"A000695",
"A001316",
"A005836",
"A006046",
"A006047",
"A007318",
"A008977",
"A033042",
"A037445",
"A038573",
"A039966",
"A047999",
"A048883",
"A048896",
"A048967",
"A049606",
"A051638",
"A061142",
"A089898",
"A094959",
"A102376",
"A105321",
"A117940",
"A117973",
"A139541",
"A151665",
"A151666",
"A151667",
"A151668",
"A151669",
"A151670",
"A151671",
"A151672",
"A151673",
"A151674",
"A151930",
"A159913",
"A163000",
"A163577",
"A166548",
"A261363",
"A261366",
"A275012",
"A286575",
"A368655"
] | [
"M0297",
"N0109"
] | N. J. A. Sloane | 2025-04-23T20:11:36 | oeisdata/seq/A001/A001316.seq | 3a4dfc674a6ca1eaac5b6a4e88d76f8a |
A001317 | Sierpiński's triangle (Pascal's triangle mod 2) converted to decimal. | [
"1",
"3",
"5",
"15",
"17",
"51",
"85",
"255",
"257",
"771",
"1285",
"3855",
"4369",
"13107",
"21845",
"65535",
"65537",
"196611",
"327685",
"983055",
"1114129",
"3342387",
"5570645",
"16711935",
"16843009",
"50529027",
"84215045",
"252645135",
"286331153",
"858993459",
"1431655765",
"4294967295",
"4294967297",
"12884901891",
"21474836485",
"64424509455",
"73014444049",
"219043332147",
"365072220245",
"1095216660735",
"1103806595329",
"3311419785987"
] | [
"nonn",
"base",
"easy",
"nice",
"hear"
] | 302 | 0 | 5 | [
"A000079",
"A000215",
"A001317",
"A038183",
"A045544",
"A047999",
"A048720",
"A048723",
"A048724",
"A053576",
"A054432",
"A173019",
"A177882",
"A177897",
"A177960",
"A193231",
"A230116",
"A247282",
"A249184",
"A268384",
"A268389",
"A268391",
"A268669"
] | [
"M2495",
"N0988"
] | N. J. A. Sloane | 2025-02-16T08:32:23 | oeisdata/seq/A001/A001317.seq | e2eb40a18ab5e6ed6abf3ff486b5aaaf |
A001318 | Generalized pentagonal numbers: m*(3*m - 1)/2, m = 0, +-1, +-2, +-3, .... | [
"0",
"1",
"2",
"5",
"7",
"12",
"15",
"22",
"26",
"35",
"40",
"51",
"57",
"70",
"77",
"92",
"100",
"117",
"126",
"145",
"155",
"176",
"187",
"210",
"222",
"247",
"260",
"287",
"301",
"330",
"345",
"376",
"392",
"425",
"442",
"477",
"495",
"532",
"551",
"590",
"610",
"651",
"672",
"715",
"737",
"782",
"805",
"852",
"876",
"925",
"950",
"1001",
"1027",
"1080",
"1107",
"1162",
"1190",
"1247",
"1276",
"1335"
] | [
"nonn",
"easy",
"nice",
"changed"
] | 583 | 0 | 5 | [
"A000217",
"A000326",
"A001082",
"A001318",
"A002620",
"A005449",
"A007310",
"A010815",
"A026741",
"A033568",
"A033570",
"A034828",
"A036498",
"A036499",
"A049452",
"A049453",
"A054440",
"A057569",
"A057570",
"A068052",
"A074377",
"A074378",
"A080995",
"A085787",
"A101688",
"A118277",
"A153384",
"A165211",
"A168258",
"A174739",
"A175005",
"A195152",
"A195160",
"A195162",
"A195313",
"A195818",
"A218864",
"A221671",
"A221672",
"A260664",
"A260672",
"A274978",
"A274979",
"A277082",
"A303298",
"A303299",
"A303303",
"A303304",
"A303305",
"A303812",
"A303813",
"A303814",
"A303815",
"A316724",
"A316725",
"A316729"
] | [
"M1336",
"N0511"
] | N. J. A. Sloane | 2025-04-19T19:36:39 | oeisdata/seq/A001/A001318.seq | 595b54c0065a79a37dd271ee44750ca3 |
A001319 | Number of (unordered) ways of making change for n cents using coins of 2, 5, 10, 20, 50 cents. | [
"1",
"0",
"1",
"0",
"1",
"1",
"1",
"1",
"1",
"1",
"3",
"1",
"3",
"1",
"3",
"3",
"3",
"3",
"3",
"3",
"7",
"3",
"7",
"3",
"7",
"7",
"7",
"7",
"7",
"7",
"13",
"7",
"13",
"7",
"13",
"13",
"13",
"13",
"13",
"13",
"22",
"13",
"22",
"13",
"22",
"22",
"22",
"22",
"22",
"22",
"35",
"22",
"35",
"22",
"35",
"35",
"35",
"35",
"35",
"35",
"53",
"35",
"53",
"35",
"53",
"53",
"53",
"53",
"53",
"53",
"77",
"53",
"77"
] | [
"nonn"
] | 32 | 0 | 5 | [
"A001313",
"A001319"
] | null | N. J. A. Sloane | 2022-02-01T01:30:31 | oeisdata/seq/A001/A001319.seq | 234b54de57c42a46a78b345636d19364 |
A001320 | Number of self-complementary Boolean functions of n variables, up to equivalence under the group (C_2)^n of all 2^n complementations of variables. | [
"1",
"3",
"14",
"240",
"63488",
"4227858432",
"18302628885633695744",
"338953138925153547590470800371487866880",
"115565932813024562229384322928592814283244066726840484812818018414147674308608"
] | [
"nonn",
"easy",
"nice",
"changed"
] | 34 | 0 | 5 | [
"A000610",
"A001320"
] | [
"M2982",
"N1204"
] | N. J. A. Sloane | 2025-04-18T08:44:05 | oeisdata/seq/A001/A001320.seq | 23e79f76fddb786356fed1226347c6d2 |
A001321 | Number of equivalence classes of 3-valued Post functions of n variables under action of symmetric group S_n. | [
"27",
"10206",
"1271126683458",
"18476103676807778218052102700370958034",
"726580354049674651690925588215506430824419524245730549989258760312370548741057559799467925374036936715660160424670"
] | [
"nonn"
] | 25 | 0 | 5 | [
"A001321",
"A001323",
"A056668"
] | [
"M5196",
"N2260"
] | N. J. A. Sloane | 2023-06-04T15:11:14 | oeisdata/seq/A001/A001321.seq | 964f9947532780585a7c4e3432bb961b |
A001322 | Number of equivalence classes of n-valued Post functions of 2 variables under action of symmetric group S_2. | [
"12",
"10206",
"2148007936",
"149011627197265625",
"5157212399256236248406163456",
"128461788760529439274299006884487791149204",
"3138550867693340381917894873863110037264541113810027544576"
] | [
"nonn"
] | 18 | 0 | 5 | [
"A001321",
"A001322",
"A003180"
] | [
"M4884",
"N2094"
] | N. J. A. Sloane | 2024-05-19T12:44:24 | oeisdata/seq/A001/A001322.seq | f95f92416cb259ec1dca41a03a6e383d |
A001323 | Number of equivalence classes of 3-valued Post functions of n variables under action of semi-direct product of symmetric group S_n and complementing group C(n,3). | [
"11",
"1230",
"47093135946",
"228100045393047605442978104423211474",
"2990042609257920377328911885660520291593377363477428617527885840940251334510092369981274334727707712945234812750"
] | [
"nonn"
] | 18 | 0 | 5 | [
"A000616",
"A001323",
"A001324"
] | [
"M4815",
"N2060"
] | N. J. A. Sloane | 2024-05-19T12:46:03 | oeisdata/seq/A001/A001323.seq | d2af7ea2d3172bbec1f102efbf0fc4c1 |
A001324 | Number of equivalence classes of n-valued Post functions of 2 variables under action of semi-direct product of symmetric group S_2 and complementing group C(2,n). | [
"6",
"1230",
"134355076",
"5960467529298425",
"143255899980867527046714276",
"2621669158378151850086910541198116201940",
"49039857307708443467467125153076407586398190249948742656"
] | [
"nonn"
] | 18 | 0 | 5 | [
"A000616",
"A001323",
"A001324"
] | [
"M4316",
"N1808"
] | N. J. A. Sloane | 2024-05-19T12:44:00 | oeisdata/seq/A001/A001324.seq | 085b11c51df91cd5ac5ad6d76a4b996b |
A001325 | Number of equivalence classes of 3-valued Post functions of n variables under action of semi-direct product of symmetric group S_n and complementing group D(n,3). | [
"18",
"2862",
"158942078604",
"1154756479802000759397882239648671476",
"22705636064052332865341424631734575964031184548599980511689123743695605536329597356626173372044993289352573124700"
] | [
"nonn"
] | 23 | 0 | 5 | null | [
"M5065",
"N2193"
] | N. J. A. Sloane | 2024-05-19T12:44:37 | oeisdata/seq/A001/A001325.seq | 6df07c9ee7a7a1447c25e978411839ff |
A001326 | Number of equivalence classes of n-valued Post functions of 2 variables under action of semi-direct product of symmetric group S_2 and complementing group D(2,n). | [
"6",
"2862",
"537157696",
"37252918396015625",
"1289303099816839265917858176",
"32115447190132359991237336502881651018804",
"784637716923335095479473759060307277562325323313332617216",
"24578381309444114202259488565864018899536000344974197975371115039374528219929"
] | [
"nonn"
] | 22 | 0 | 5 | null | [
"M4317",
"N1809"
] | N. J. A. Sloane | 2024-05-19T12:45:54 | oeisdata/seq/A001/A001326.seq | f9fbf453425c1cf3979dc106926b5b21 |
A001327 | Number of equivalence classes of 3-valued Post functions of n variables under action of semi-direct product of symmetric groups S_n and S(n,3). | [
"10",
"438",
"5893028544",
"14256252837121596073801515513052992",
"93438831539310011791528496426891259121775442805243046889607091562337477169707144501052634950477913975318905688"
] | [
"nonn"
] | 20 | 0 | 5 | null | [
"M4753",
"N2034"
] | N. J. A. Sloane | 2015-10-31T15:17:36 | oeisdata/seq/A001/A001327.seq | 5bdd1c8a4724cca2c398b54e1d4c353b |
A001328 | Number of equivalence classes of n-valued Post functions of 2 variables under action of semi-direct product of symmetric groups S_2 and S(2,n). | [
"6",
"438",
"3962646",
"10417184196975",
"9954761196199929077325",
"5057490251219818192322424165975972",
"1930587876541100645614895805509354549563927698736",
"746598793682620583344610283857629170831782164188262315836348333960"
] | [
"nonn"
] | 25 | 0 | 5 | [
"A001324",
"A001328"
] | [
"M4309",
"N1804"
] | N. J. A. Sloane | 2015-11-03T17:15:04 | oeisdata/seq/A001/A001328.seq | 5ebca29382f950db4dbd03cb5e90061d |
A001329 | Number of nonisomorphic groupoids with n elements. | [
"1",
"1",
"10",
"3330",
"178981952",
"2483527537094825",
"14325590003318891522275680",
"50976900301814584087291487087214170039",
"155682086691137947272042502251643461917498835481022016"
] | [
"nonn",
"nice"
] | 127 | 0 | 5 | [
"A001329",
"A001424",
"A001425",
"A002489",
"A006448",
"A029850",
"A030245",
"A030265",
"A030271",
"A038015",
"A038023"
] | [
"M4760",
"N2035"
] | N. J. A. Sloane | 2025-02-16T08:32:23 | oeisdata/seq/A001/A001329.seq | e28d8d18830d12f589bc3f99c639bbbd |
A001330 | Number of n-element algebras with 2 binary operations. | [
"1",
"1",
"136",
"64573605",
"768614338015543296",
"740148683083442627372862307855625",
"147760220727384062234340471228346859265417269763446784",
"13097167596472133103922286145973062271265962292695709182416029922453889335720758"
] | [
"nonn"
] | 24 | 0 | 5 | [
"A001329",
"A001330",
"A001331"
] | [
"M5398",
"N2346"
] | N. J. A. Sloane | 2021-12-19T14:00:43 | oeisdata/seq/A001/A001330.seq | d135b6ccc9f16cbbdefbb6921135c261 |
A001331 | Number of n-element algebras with 1 ternary operation. | [
"1",
"130",
"1270932917454",
"14178431955039102644307345678938144832",
"19591572513704791799478942287037427963644425946432640042160816616766795992851260047500",
"1672390093955882094725125078968449171301017629802018367164057251590306327375884442617701277598562886114475651122751129803783336384871488080121922759032559677888042592"
] | [
"nonn",
"nice"
] | 23 | 0 | 5 | [
"A001331",
"A091510"
] | [
"M5395",
"N2344"
] | N. J. A. Sloane. | 2019-05-29T10:07:53 | oeisdata/seq/A001/A001331.seq | 597e3f1139ebbb4867dcc8918e10e73f |
A001332 | a(n) = Bernoulli(2*n) * (2*n + 1)!. | [
"1",
"1",
"-4",
"120",
"-12096",
"3024000",
"-1576143360",
"1525620096000",
"-2522591034163200",
"6686974460694528000",
"-27033456071346536448000",
"160078872315904478576640000",
"-1342964491649083924630732800000",
"15522270327163593186886877184000000"
] | [
"sign",
"nice"
] | 31 | 0 | 5 | [
"A001332",
"A129814"
] | [
"M3710",
"N1516"
] | N. J. A. Sloane | 2023-01-19T11:09:57 | oeisdata/seq/A001/A001332.seq | 46d0052a500615c4651be77c1252e795 |
A001333 | Pell-Lucas numbers: numerators of continued fraction convergents to sqrt(2). | [
"1",
"1",
"3",
"7",
"17",
"41",
"99",
"239",
"577",
"1393",
"3363",
"8119",
"19601",
"47321",
"114243",
"275807",
"665857",
"1607521",
"3880899",
"9369319",
"22619537",
"54608393",
"131836323",
"318281039",
"768398401",
"1855077841",
"4478554083",
"10812186007",
"26102926097",
"63018038201",
"152139002499",
"367296043199"
] | [
"nonn",
"cofr",
"easy",
"core",
"nice",
"frac"
] | 559 | 0 | 5 | [
"A000129",
"A000217",
"A000225",
"A001333",
"A001906",
"A001911",
"A002203",
"A002478",
"A002532",
"A002533",
"A002605",
"A002965",
"A003945",
"A006356",
"A015518",
"A015519",
"A026150",
"A028859",
"A033303",
"A033539",
"A034182",
"A040000",
"A046717",
"A048211",
"A048624",
"A052542",
"A052937",
"A053120",
"A054458",
"A055099",
"A063727",
"A078057",
"A083098",
"A083099",
"A083100",
"A084057",
"A084128",
"A086395",
"A088305",
"A095263",
"A106513",
"A135597",
"A135837",
"A140750",
"A152113",
"A153588",
"A160756",
"A174283",
"A174284",
"A174285",
"A174286",
"A176499",
"A176500",
"A176501",
"A176502",
"A214260",
"A293004",
"A332602"
] | [
"M2665",
"N1064"
] | N. J. A. Sloane, R. K. Guy | 2025-03-16T08:18:16 | oeisdata/seq/A001/A001333.seq | bf8cb11424f2ba81f42aead53be77b36 |
A001334 | Number of n-step self-avoiding walks on hexagonal [ =triangular ] lattice. | [
"1",
"6",
"30",
"138",
"618",
"2730",
"11946",
"51882",
"224130",
"964134",
"4133166",
"17668938",
"75355206",
"320734686",
"1362791250",
"5781765582",
"24497330322",
"103673967882",
"438296739594",
"1851231376374",
"7812439620678",
"32944292555934",
"138825972053046"
] | [
"nonn",
"walk",
"nice"
] | 65 | 0 | 5 | [
"A001334",
"A001335",
"A001336",
"A001411",
"A001412",
"A001666",
"A036418",
"A192208"
] | [
"M4197",
"N1751"
] | N. J. A. Sloane | 2021-05-13T11:30:15 | oeisdata/seq/A001/A001334.seq | e75a7774678a1db5d604b34ddaf4422a |
A001335 | Number of n-step polygons on hexagonal lattice. | [
"1",
"0",
"0",
"12",
"24",
"60",
"180",
"588",
"1968",
"6840",
"24240",
"87252",
"318360",
"1173744",
"4366740",
"16370700",
"61780320",
"234505140",
"894692736",
"3429028116",
"13195862760",
"50968206912",
"197517813636",
"767766750564",
"2992650987408",
"11694675166500",
"45807740881032"
] | [
"nonn",
"nice",
"walk",
"more"
] | 46 | 0 | 5 | [
"A001334",
"A001335",
"A003289"
] | [
"M4828",
"N2065"
] | N. J. A. Sloane | 2020-05-16T03:51:49 | oeisdata/seq/A001/A001335.seq | a02adc6f9a4b89bf603a96b546006815 |
A001336 | Number of n-step self-avoiding walks on f.c.c. lattice. | [
"1",
"12",
"132",
"1404",
"14700",
"152532",
"1573716",
"16172148",
"165697044",
"1693773924",
"17281929564",
"176064704412",
"1791455071068",
"18208650297396",
"184907370618612",
"1876240018679868",
"19024942249966812",
"192794447005403916",
"1952681556794601732",
"19767824914170222996"
] | [
"nonn",
"walk",
"nice"
] | 46 | 0 | 5 | [
"A001334",
"A001336",
"A001337",
"A001411",
"A001412",
"A001666"
] | [
"M4867",
"N2082"
] | N. J. A. Sloane | 2023-07-25T19:27:01 | oeisdata/seq/A001/A001336.seq | ef60a46b534952940b2bd189b1eebcaa |
A001337 | Number of n-step polygons on f.c.c. lattice. | [
"0",
"0",
"48",
"264",
"1680",
"11640",
"86352",
"673104",
"5424768",
"44828400",
"377810928",
"3235366752",
"28074857616",
"246353214240",
"2182457514960",
"19495053028800",
"175405981214592"
] | [
"nonn",
"nice",
"walk",
"more"
] | 34 | 0 | 5 | [
"A001336",
"A001337",
"A003287",
"A005398"
] | [
"M5293",
"N2302"
] | N. J. A. Sloane | 2019-01-15T02:47:45 | oeisdata/seq/A001/A001337.seq | 717a3dd51229070657c8d9b4c64840ff |
A001338 | -1 + Sum (k-1)! C(n,k), k = 1..n for n > 0, a(0) = 1. | [
"1",
"0",
"2",
"7",
"23",
"88",
"414",
"2371",
"16071",
"125672",
"1112082",
"10976183",
"119481295",
"1421542640",
"18348340126",
"255323504931",
"3809950977007",
"60683990530224",
"1027542662934914",
"18430998766219335",
"349096664728623335",
"6962409983976703336",
"145841989688186383358"
] | [
"nonn"
] | 27 | 0 | 5 | [
"A000522",
"A001338",
"A002104"
] | [
"M1759",
"N0697"
] | N. J. A. Sloane | 2014-12-24T23:02:06 | oeisdata/seq/A001/A001338.seq | 954a832dcac48897c05eb83b89fdb371 |
A001339 | a(n) = Sum_{k=0..n} (k+1)! binomial(n,k). | [
"1",
"3",
"11",
"49",
"261",
"1631",
"11743",
"95901",
"876809",
"8877691",
"98641011",
"1193556233",
"15624736141",
"220048367319",
"3317652307271",
"53319412081141",
"909984632851473",
"16436597430879731",
"313262209859119579",
"6282647653285676001",
"132266266384961600021",
"2916471173788403280463"
] | [
"nonn",
"changed"
] | 216 | 0 | 5 | [
"A000522",
"A001339",
"A001563",
"A006183",
"A007526",
"A026243",
"A036918",
"A064618",
"A073591",
"A089900",
"A136104",
"A137594",
"A276588"
] | [
"M2901",
"N1164"
] | N. J. A. Sloane | 2025-04-21T13:24:04 | oeisdata/seq/A001/A001339.seq | 0aaab23acd4a9e3eda57ce95565cb24b |
A001340 | E.g.f.: 2*exp(x)/(1-x)^3. | [
"2",
"8",
"38",
"212",
"1370",
"10112",
"84158",
"780908",
"8000882",
"89763320",
"1094915222",
"14431179908",
"204423631178",
"3097603939952",
"50001759773870",
"856665220770332",
"15526612798028258",
"296825612428239848",
"5969385443426556422",
"125983618731675924020",
"2784204907403441680442"
] | [
"nonn",
"easy"
] | 44 | 0 | 5 | null | [
"M1858",
"N0736"
] | N. J. A. Sloane and Simon Plouffe | 2017-06-30T08:49:38 | oeisdata/seq/A001/A001340.seq | ddd5198eac9cc68e3c2c41f19c4612a4 |
A001341 | Expansion of e.g.f. 6*exp(x)/(1-x)^4. | [
"6",
"30",
"174",
"1158",
"8742",
"74046",
"696750",
"7219974",
"81762438",
"1005151902",
"13336264686",
"189992451270",
"2893180308774",
"46904155833918",
"806663460996462",
"14669947577257926",
"281298999630211590",
"5672559830998316574",
"120014233288249367598",
"2658221288671765756422"
] | [
"nonn"
] | 49 | 0 | 5 | [
"A001341",
"A095000"
] | [
"M4205",
"N1755"
] | N. J. A. Sloane and Simon Plouffe | 2025-01-17T09:42:51 | oeisdata/seq/A001/A001341.seq | a0f4e71ef9b49748c635375bffcf0024 |
A001342 | E.g.f.: 24*exp(x)/(1-x)^5. | [
"24",
"144",
"984",
"7584",
"65304",
"622704",
"6523224",
"74542464",
"923389464",
"12331112784",
"176656186584",
"2703187857504",
"44010975525144",
"759759305162544",
"13863284116261464",
"266629052052953664",
"5391260831368104984",
"114341673457251051024",
"2538207055383516388824"
] | [
"nonn"
] | 33 | 0 | 5 | [
"A001342",
"A095177"
] | [
"M5147",
"N2233"
] | N. J. A. Sloane and Simon Plouffe | 2022-12-21T04:44:55 | oeisdata/seq/A001/A001342.seq | 0e3598655f4c01f3ee40324de2cb62e5 |
A001343 | Number of (unordered) ways of making change for n cents using coins of 5, 10, 20, 50, 100 cents. | [
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"2",
"0",
"0",
"0",
"0",
"2",
"0",
"0",
"0",
"0",
"4",
"0",
"0",
"0",
"0",
"4",
"0",
"0",
"0",
"0",
"6",
"0",
"0",
"0",
"0",
"6",
"0",
"0",
"0",
"0",
"9",
"0",
"0",
"0",
"0",
"9",
"0",
"0",
"0",
"0",
"13",
"0",
"0",
"0",
"0",
"13",
"0",
"0",
"0",
"0",
"18",
"0",
"0",
"0",
"0",
"18",
"0",
"0",
"0",
"0",
"24",
"0",
"0",
"0",
"0",
"24",
"0",
"0",
"0",
"0",
"31",
"0",
"0",
"0",
"0"
] | [
"nonn"
] | 37 | 0 | 5 | null | null | N. J. A. Sloane, Simon Plouffe | 2017-04-18T07:02:36 | oeisdata/seq/A001/A001343.seq | ea934a9db11fd1d4d3bbd3379873df38 |
A001344 | a(n) = Sum_{k=0..2} (n+k)! * C(2,k). | [
"2",
"5",
"11",
"38",
"174",
"984",
"6600",
"51120",
"448560",
"4394880",
"47537280",
"562464000",
"7224940800",
"100111334400",
"1488257971200",
"23625316915200",
"398840682240000",
"7134671351808000",
"134805535248384000",
"2682594582700032000",
"56078391288471552000",
"1228615514129203200000"
] | [
"nonn",
"easy"
] | 40 | 0 | 5 | [
"A000142",
"A001344",
"A007623",
"A028387",
"A276588",
"A276955",
"A336600"
] | [
"M1405",
"N0548"
] | N. J. A. Sloane | 2023-12-11T14:52:08 | oeisdata/seq/A001/A001344.seq | 09bb90c3503473d6810f37277a97ed0e |
A001345 | a(n) = Sum_{k = 0..3} (n+k)! C(3,k). | [
"7",
"16",
"49",
"212",
"1158",
"7584",
"57720",
"499680",
"4843440",
"51932160",
"610001280",
"7787404800",
"107336275200",
"1588369305600",
"25113574886400",
"422465999155200",
"7533512034048000",
"141940206600192000",
"2817400117948416000",
"58760985871171584000",
"1284693905417674752000"
] | [
"easy",
"nonn"
] | 29 | 0 | 5 | [
"A001345",
"A001346",
"A001347"
] | [
"M4352",
"N1822"
] | N. J. A. Sloane | 2022-02-01T01:32:05 | oeisdata/seq/A001/A001345.seq | a9d0250bc9da08d48b5db4f51889643c |
A001346 | a(n) = Sum_{k = 0..4} (n+k)! C(4,k). | [
"23",
"65",
"261",
"1370",
"8742",
"65304",
"557400",
"5343120",
"56775600",
"661933440",
"8397406080",
"115123680000",
"1695705580800",
"26701944192000",
"447579574041600",
"7955978033203200",
"149473718634240000",
"2959340324548608000",
"61578385989120000000",
"1343454891288846336000"
] | [
"nonn"
] | 25 | 0 | 5 | [
"A001345",
"A001346",
"A001347"
] | [
"M5134",
"N2225"
] | N. J. A. Sloane | 2022-02-01T01:32:20 | oeisdata/seq/A001/A001346.seq | 3a36039295ff97b8a2d5a91032e4eda8 |
A001347 | a(n) = Sum_{k=0..5} (n+k)! * C(5,k). | [
"88",
"326",
"1631",
"10112",
"74046",
"622704",
"5900520",
"62118720",
"718709040",
"9059339520",
"123521086080",
"1810829260800",
"28397649772800",
"474281518233600",
"8403557607244800",
"157429696667443200",
"3108814043182848000",
"64537726313668608000",
"1405033277277966336000"
] | [
"nonn"
] | 22 | 0 | 5 | null | [
"M5361",
"N2328"
] | N. J. A. Sloane | 2022-02-01T01:32:33 | oeisdata/seq/A001/A001347.seq | e4105bf3ef3d829891ff49fc385b1477 |
A001348 | Mersenne numbers: 2^p - 1, where p is prime. | [
"3",
"7",
"31",
"127",
"2047",
"8191",
"131071",
"524287",
"8388607",
"536870911",
"2147483647",
"137438953471",
"2199023255551",
"8796093022207",
"140737488355327",
"9007199254740991",
"576460752303423487",
"2305843009213693951",
"147573952589676412927",
"2361183241434822606847"
] | [
"nonn",
"nice",
"easy"
] | 161 | 0 | 5 | [
"A000040",
"A000043",
"A000225",
"A000668",
"A001348",
"A002145",
"A045326",
"A046051",
"A057951",
"A057958",
"A100105",
"A184085",
"A262153"
] | [
"M2694",
"N1079"
] | N. J. A. Sloane | 2025-04-08T23:29:14 | oeisdata/seq/A001/A001348.seq | a0d78e198bdef6951561e190763b92ef |
A001349 | Number of simple connected graphs on n unlabeled nodes. | [
"1",
"1",
"1",
"2",
"6",
"21",
"112",
"853",
"11117",
"261080",
"11716571",
"1006700565",
"164059830476",
"50335907869219",
"29003487462848061",
"31397381142761241960",
"63969560113225176176277",
"245871831682084026519528568",
"1787331725248899088890200576580",
"24636021429399867655322650759681644"
] | [
"nonn",
"core",
"nice"
] | 198 | 0 | 5 | [
"A000088",
"A000719",
"A001349",
"A002218",
"A006290",
"A054924",
"A201922"
] | [
"M1657",
"N0649"
] | N. J. A. Sloane | 2025-02-16T08:32:23 | oeisdata/seq/A001/A001349.seq | f45a49ffee277baf7cf74bd9bab6f490 |
A001350 | Associated Mersenne numbers. | [
"0",
"1",
"1",
"4",
"5",
"11",
"16",
"29",
"45",
"76",
"121",
"199",
"320",
"521",
"841",
"1364",
"2205",
"3571",
"5776",
"9349",
"15125",
"24476",
"39601",
"64079",
"103680",
"167761",
"271441",
"439204",
"710645",
"1149851",
"1860496",
"3010349",
"4870845",
"7881196",
"12752041",
"20633239",
"33385280",
"54018521",
"87403801",
"141422324"
] | [
"nonn",
"easy"
] | 228 | 0 | 5 | [
"A000032",
"A001350",
"A004146",
"A031367",
"A098554",
"A129744"
] | [
"M3250",
"N1311"
] | N. J. A. Sloane, R. K. Guy | 2025-01-05T19:51:31 | oeisdata/seq/A001/A001350.seq | aa570ead02f28bdb9b7ac84190e508b9 |
A001351 | Associated Mersenne numbers. | [
"0",
"1",
"3",
"1",
"3",
"11",
"9",
"8",
"27",
"37",
"33",
"67",
"117",
"131",
"192",
"341",
"459",
"613",
"999",
"1483",
"2013",
"3032",
"4623",
"6533",
"9477",
"14311",
"20829",
"30007",
"44544",
"65657",
"95139",
"139625",
"206091",
"300763",
"439521",
"646888",
"948051",
"1385429",
"2033193",
"2983787",
"4366197",
"6397723",
"9387072"
] | [
"nonn",
"easy",
"changed"
] | 64 | 0 | 5 | [
"A001350",
"A001351",
"A001945"
] | [
"M2217",
"N0879"
] | N. J. A. Sloane, R. K. Guy | 2025-04-15T13:00:48 | oeisdata/seq/A001/A001351.seq | bcb565f485f67657ee29e85d2f612e22 |
A001352 | a(0) = 1, a(1) = 6, a(2) = 24; for n>=3, a(n) = 4a(n-1) - a(n-2). | [
"1",
"6",
"24",
"90",
"336",
"1254",
"4680",
"17466",
"65184",
"243270",
"907896",
"3388314",
"12645360",
"47193126",
"176127144",
"657315450",
"2453134656",
"9155223174",
"34167758040",
"127515808986",
"475895477904",
"1776066102630",
"6628368932616",
"24737409627834",
"92321269578720",
"344547668687046"
] | [
"nonn",
"easy"
] | 58 | 0 | 5 | [
"A001352",
"A001834",
"A082841"
] | [
"M4164",
"N1731"
] | N. J. A. Sloane | 2022-04-13T13:25:15 | oeisdata/seq/A001/A001352.seq | 721cd47016218891fba937d74541efde |
A001353 | a(n) = 4*a(n-1) - a(n-2) with a(0) = 0, a(1) = 1. | [
"0",
"1",
"4",
"15",
"56",
"209",
"780",
"2911",
"10864",
"40545",
"151316",
"564719",
"2107560",
"7865521",
"29354524",
"109552575",
"408855776",
"1525870529",
"5694626340",
"21252634831",
"79315912984",
"296011017105",
"1104728155436",
"4122901604639",
"15386878263120",
"57424611447841",
"214311567528244"
] | [
"nonn",
"easy",
"nice",
"changed"
] | 427 | 0 | 5 | [
"A000027",
"A001075",
"A001090",
"A001109",
"A001353",
"A001542",
"A001571",
"A001834",
"A001835",
"A002530",
"A002531",
"A003500",
"A004189",
"A004191",
"A005246",
"A007655",
"A016064",
"A019679",
"A029547",
"A029548",
"A049660",
"A075843",
"A077412",
"A077421",
"A077423",
"A078987",
"A079935",
"A082840",
"A097309",
"A097311",
"A097313",
"A097316",
"A116469",
"A125077",
"A144128",
"A323182"
] | [
"M3499",
"N1420"
] | N. J. A. Sloane | 2025-04-18T13:11:50 | oeisdata/seq/A001/A001353.seq | 7f1af8e0d4e5d6f53d1be135be11625f |
A001354 | Coordination sequence for hyperbolic tessellation 3^7 (from triangle group (2,3,7)). | [
"1",
"7",
"21",
"56",
"147",
"385",
"1008",
"2639",
"6909",
"18088",
"47355",
"123977",
"324576",
"849751",
"2224677",
"5824280",
"15248163",
"39920209",
"104512464",
"273617183",
"716339085",
"1875400072",
"4909861131",
"12854183321"
] | [
"nonn",
"easy"
] | 79 | 0 | 5 | [
"A000045",
"A001354",
"A001906"
] | null | N. J. A. Sloane | 2022-09-08T08:44:29 | oeisdata/seq/A001/A001354.seq | b2371fe4f8f5d25c6a9380dcf35dca3b |
A001355 | Mix digits of Pi and e. | [
"3",
"2",
"1",
"7",
"4",
"1",
"1",
"8",
"5",
"2",
"9",
"8",
"2",
"1",
"6",
"8",
"5",
"2",
"3",
"8",
"5",
"4",
"8",
"5",
"9",
"9",
"7",
"0",
"9",
"4",
"3",
"5",
"2",
"2",
"3",
"3",
"8",
"5",
"4",
"3",
"6",
"6",
"2",
"0",
"6",
"2",
"4",
"8",
"3",
"7",
"3",
"4",
"8",
"7",
"3",
"1",
"2",
"3",
"7",
"5",
"9",
"2",
"5",
"6",
"0",
"6",
"2",
"2",
"8",
"4",
"8",
"9",
"4",
"7",
"1",
"7",
"9",
"5",
"7",
"7",
"1",
"2",
"6",
"4",
"9",
"7",
"3",
"0",
"9",
"9",
"9",
"3",
"3",
"6",
"7",
"9",
"5",
"9",
"1",
"9"
] | [
"nonn",
"base",
"cons",
"dumb",
"easy"
] | 29 | 0 | 5 | [
"A001355",
"A058382"
] | [
"M2239",
"N0889"
] | N. J. A. Sloane | 2024-08-22T20:44:44 | oeisdata/seq/A001/A001355.seq | b9a640164bf0124db32a372c61bcad3e |
A001356 | Dates at fortnightly intervals from Jan 01 in the Julian calendar. | [
"1",
"15",
"29",
"12",
"26",
"12",
"26",
"9",
"23",
"7",
"21",
"4",
"18",
"2",
"16",
"30",
"13",
"27",
"10",
"24",
"8",
"22",
"5",
"19",
"3",
"17",
"31",
"14",
"28",
"11",
"25",
"11",
"25",
"8",
"22",
"6",
"20",
"3",
"17",
"1",
"15",
"29",
"12",
"26",
"9",
"23",
"7",
"21",
"4",
"18",
"2",
"16",
"30",
"13",
"27",
"10",
"24",
"10",
"24",
"7",
"21",
"5",
"19",
"2",
"16",
"30",
"14",
"28",
"11",
"25",
"8",
"22",
"6",
"20",
"3",
"17",
"1",
"15"
] | [
"nonn",
"easy",
"nice"
] | 38 | 0 | 5 | [
"A001356",
"A051121"
] | [
"M4961",
"N2127"
] | N. J. A. Sloane | 2023-08-07T01:09:01 | oeisdata/seq/A001/A001356.seq | c9767c1906e61f38602f898dee58560f |
A001357 | Powers of 2 written in base 9. | [
"1",
"2",
"4",
"8",
"17",
"35",
"71",
"152",
"314",
"628",
"1357",
"2725",
"5551",
"12212",
"24424",
"48848",
"108807",
"218715",
"438531",
"878162",
"1867334",
"3845668",
"7802447",
"16705005",
"34511011",
"70122022",
"150244044",
"310488088",
"621087187",
"1342185385",
"2684381781",
"5478773672",
"12068657454",
"24148426018"
] | [
"easy",
"base",
"nonn"
] | 37 | 0 | 5 | null | [
"M1138",
"N0434"
] | N. J. A. Sloane | 2022-02-01T01:32:53 | oeisdata/seq/A001/A001357.seq | 9ffff98e9bd441f1f30dba4733021b4e |
A001358 | Semiprimes (or biprimes): products of two primes. | [
"4",
"6",
"9",
"10",
"14",
"15",
"21",
"22",
"25",
"26",
"33",
"34",
"35",
"38",
"39",
"46",
"49",
"51",
"55",
"57",
"58",
"62",
"65",
"69",
"74",
"77",
"82",
"85",
"86",
"87",
"91",
"93",
"94",
"95",
"106",
"111",
"115",
"118",
"119",
"121",
"122",
"123",
"129",
"133",
"134",
"141",
"142",
"143",
"145",
"146",
"155",
"158",
"159",
"161",
"166",
"169",
"177",
"178",
"183",
"185",
"187"
] | [
"nonn",
"easy",
"nice",
"core"
] | 284 | 0 | 5 | [
"A000040",
"A001222",
"A001358",
"A002024",
"A004526",
"A006881",
"A014342",
"A014612",
"A014613",
"A014614",
"A014673",
"A024697",
"A037143",
"A046306",
"A046308",
"A046310",
"A046312",
"A046314",
"A046315",
"A046388",
"A048623",
"A048639",
"A061299",
"A062198",
"A064911",
"A065516",
"A068318",
"A069272",
"A069273",
"A069274",
"A069275",
"A069276",
"A069277",
"A069278",
"A069279",
"A069280",
"A069281",
"A072000",
"A072931",
"A072966",
"A077554",
"A077555",
"A084126",
"A084127",
"A087112",
"A087718",
"A087794",
"A088183",
"A089994",
"A089995",
"A096916",
"A096932",
"A098350",
"A100484",
"A100592",
"A106550",
"A106554",
"A108541",
"A108542",
"A112141",
"A115392",
"A126663",
"A131284",
"A138510",
"A138511",
"A171963",
"A176504",
"A176506",
"A237040",
"A289182",
"A300912",
"A318990",
"A320655",
"A320732",
"A332765",
"A338898",
"A338904",
"A338906",
"A338907",
"A338910",
"A338911",
"A338912",
"A338913",
"A339003",
"A339004",
"A339114",
"A339115",
"A339116"
] | [
"M3274",
"N1323"
] | N. J. A. Sloane, R. K. Guy | 2025-02-16T08:32:23 | oeisdata/seq/A001/A001358.seq | a84dbdf90278537622535ca033e021dd |
A001359 | Lesser of twin primes. | [
"3",
"5",
"11",
"17",
"29",
"41",
"59",
"71",
"101",
"107",
"137",
"149",
"179",
"191",
"197",
"227",
"239",
"269",
"281",
"311",
"347",
"419",
"431",
"461",
"521",
"569",
"599",
"617",
"641",
"659",
"809",
"821",
"827",
"857",
"881",
"1019",
"1031",
"1049",
"1061",
"1091",
"1151",
"1229",
"1277",
"1289",
"1301",
"1319",
"1427",
"1451",
"1481",
"1487",
"1607"
] | [
"nonn",
"nice",
"easy",
"changed"
] | 358 | 0 | 5 | [
"A000040",
"A001097",
"A001359",
"A002822",
"A003627",
"A006512",
"A007508",
"A010051",
"A014574",
"A040040",
"A054735",
"A067829",
"A071538",
"A074822",
"A077800",
"A082496",
"A088328",
"A104272",
"A117078",
"A117563",
"A146214",
"A178127",
"A178128",
"A350246",
"A350247"
] | [
"M2476",
"N0982"
] | N. J. A. Sloane | 2025-04-21T16:03:14 | oeisdata/seq/A001/A001359.seq | 8fa236002c63e03654908c54bdf18945 |
A001360 | Crystal ball sequence for hyperbolic tessellation 3^7 (from triangle group (2,3,7)). | [
"1",
"8",
"29",
"85",
"232",
"617",
"1625",
"4264",
"11173",
"29261",
"76616",
"200593",
"525169",
"1374920",
"3599597",
"9423877",
"24672040",
"64592249",
"169104713",
"442721896",
"1159060981",
"3034461053",
"7944322184",
"20798505505",
"54451194337",
"142555077512",
"373214038205",
"977087037109",
"2558047073128",
"6697054182281",
"17533115473721",
"45902292238888"
] | [
"nonn",
"easy",
"nice"
] | 33 | 0 | 5 | [
"A001354",
"A001360"
] | null | N. J. A. Sloane. | 2021-03-02T16:31:29 | oeisdata/seq/A001/A001360.seq | 4b815ef9d262c7a2cabc3ef363f1a748 |
A001361 | Number of points in interior of n-th crystal ball in E_8 lattice. | [
"1",
"241",
"26641",
"338401",
"2240161",
"10242001",
"36638641",
"109907521",
"288653761",
"683158321",
"1486914001",
"3020862241",
"5793372001",
"10579330321",
"18522042481",
"31261968001",
"51096647041",
"81176500081",
"125741512081",
"190404140641",
"282484116001",
"411401129041",
"589131731761"
] | [
"nonn",
"easy"
] | 30 | 0 | 5 | [
"A001361",
"A008340",
"A008349"
] | null | N. J. A. Sloane | 2022-02-03T02:30:19 | oeisdata/seq/A001/A001361.seq | 289b6ecd840ff560254627fa4d8a399e |
A001362 | Number of ways of making change for n cents using coins of 1, 2, 4, 10 cents. | [
"1",
"1",
"2",
"2",
"4",
"4",
"6",
"6",
"9",
"9",
"13",
"13",
"18",
"18",
"24",
"24",
"31",
"31",
"39",
"39",
"49",
"49",
"60",
"60",
"73",
"73",
"87",
"87",
"103",
"103",
"121",
"121",
"141",
"141",
"163",
"163",
"187",
"187",
"213",
"213",
"242",
"242",
"273",
"273",
"307",
"307",
"343",
"343",
"382",
"382",
"424",
"424",
"469",
"469",
"517",
"517",
"568",
"568",
"622",
"622"
] | [
"nonn"
] | 35 | 0 | 5 | [
"A001304",
"A001362"
] | null | N. J. A. Sloane | 2022-02-01T01:33:13 | oeisdata/seq/A001/A001362.seq | d9f4f35389ebbfcffd48b2e94e025108 |
A001363 | Primes in ternary. | [
"2",
"10",
"12",
"21",
"102",
"111",
"122",
"201",
"212",
"1002",
"1011",
"1101",
"1112",
"1121",
"1202",
"1222",
"2012",
"2021",
"2111",
"2122",
"2201",
"2221",
"10002",
"10022",
"10121",
"10202",
"10211",
"10222",
"11001",
"11012",
"11201",
"11212",
"12002",
"12011",
"12112",
"12121",
"12211",
"20001",
"20012",
"20102",
"20122",
"20201"
] | [
"base",
"nonn",
"easy"
] | 33 | 0 | 5 | [
"A000040",
"A001363",
"A004676",
"A004678",
"A004679",
"A004680",
"A004681",
"A004682",
"A004683",
"A004684",
"A007089",
"A072805"
] | [
"M1961",
"N0776"
] | N. J. A. Sloane | 2022-02-01T01:33:28 | oeisdata/seq/A001/A001363.seq | b8bf7ee5fa086d6f58701e5730a26035 |
A001364 | Number of ways of making change for n cents using coins of 1, 2, 4, 12, 24, 48, 96, 120 cents (based on English coinage of 1939). | [
"1",
"1",
"2",
"2",
"4",
"4",
"6",
"6",
"9",
"9",
"12",
"12",
"17",
"17",
"22",
"22",
"29",
"29",
"36",
"36",
"45",
"45",
"54",
"54",
"67",
"67",
"80",
"80",
"97",
"97",
"114",
"114",
"135",
"135",
"156",
"156",
"183",
"183",
"210",
"210",
"243",
"243",
"276",
"276",
"315",
"315",
"354",
"354",
"403",
"403",
"452",
"452",
"511",
"511",
"570",
"570",
"639",
"639",
"708",
"708"
] | [
"nonn"
] | 28 | 0 | 5 | null | null | N. J. A. Sloane | 2022-02-01T01:33:43 | oeisdata/seq/A001/A001364.seq | b7d15f1e9247f1281d0dbd4c2a6231a8 |
A001365 | Expansion of 1/(1-x)^2/(1-x^2)/(1-x^6)/(1-x^12)/(1-x^24)/(1-x^48)/(1-x^60). | [
"1",
"2",
"4",
"6",
"9",
"12",
"17",
"22",
"29",
"36",
"45",
"54",
"67",
"80",
"97",
"114",
"135",
"156",
"183",
"210",
"243",
"276",
"315",
"354",
"403",
"452",
"511",
"570",
"639",
"708",
"791",
"874",
"971",
"1068",
"1179",
"1290",
"1421",
"1552",
"1703",
"1854",
"2025",
"2196",
"2393",
"2590"
] | [
"nonn",
"easy"
] | 29 | 0 | 5 | null | null | N. J. A. Sloane | 2022-02-01T01:33:57 | oeisdata/seq/A001/A001365.seq | 72f0359afd961132b9334150b0b1eb27 |
A001366 | Maximal number of unattacked squares with n queens on n X n board (answers for n >= 17 only probable). | [
"0",
"0",
"0",
"1",
"3",
"5",
"7",
"11",
"18",
"22",
"30",
"36",
"47",
"56",
"72",
"82",
"97",
"111",
"132",
"145",
"170",
"186",
"216",
"240",
"260",
"290",
"324",
"360",
"381",
"420"
] | [
"nonn",
"more"
] | 35 | 0 | 5 | [
"A001366",
"A019317",
"A274947"
] | null | Mario Velucchi (mathchess(AT)velucchi.it) | 2025-02-16T08:32:23 | oeisdata/seq/A001/A001366.seq | d56f8ff0f7e4d4e0b19627c70d14344c |
A001367 | Solution to f(2) = 1, f(n) = sqrt(n) f(sqrt(n)) + n at values n = 2^2^i. | [
"1",
"6",
"40",
"896",
"294912",
"23622320128",
"119903836479112085504",
"2552117751907038475975309555738261585920",
"984232758517187661100353372573847216752794869657944794335389464067261601939456"
] | [
"nonn"
] | 17 | 0 | 5 | null | null | Alexander Sorg (sorg(AT)bu.edu) | 2024-09-27T09:27:09 | oeisdata/seq/A001/A001367.seq | 6f315be0945b2ca3cef2eaefbc620e04 |
A001368 | Number of letters in n (in Irish Gaelic). | [
"4",
"3",
"2",
"3",
"7",
"4",
"2",
"5",
"3",
"4",
"4",
"7",
"6",
"7",
"11",
"8",
"6",
"9",
"7",
"8",
"4",
"7",
"6",
"7",
"11",
"8",
"6",
"9",
"7",
"8",
"6",
"9",
"8",
"9",
"13",
"10",
"8",
"11",
"9",
"10",
"8",
"11",
"10",
"11",
"15",
"12",
"10",
"13",
"11",
"12",
"5",
"8",
"7",
"8",
"12",
"9",
"7",
"10",
"8",
"9",
"6",
"9",
"8",
"9",
"13",
"10",
"8",
"11",
"9",
"10",
"6",
"9",
"8",
"9",
"13"
] | [
"word",
"nonn"
] | 35 | 0 | 5 | null | null | Donal LYONS | 2019-09-03T20:20:36 | oeisdata/seq/A001/A001368.seq | c908ae76672081564b9dcd15449423cc |
A001369 | Blocks of increasing length using 1,2,3,...,9,10; omit leading 0's. | [
"1",
"23",
"456",
"7891",
"1234",
"567891",
"123456",
"78910123",
"456789101",
"2345678910",
"12345678910",
"123456789101",
"2345678910123",
"45678910123456",
"789101234567891",
"123456789101234",
"56789101234567891",
"12345678910123456",
"7891012345678910123",
"45678910123456789101"
] | [
"nonn",
"base"
] | 24 | 0 | 5 | [
"A001369",
"A007923",
"A066547"
] | null | N. J. A. Sloane | 2022-02-01T01:34:12 | oeisdata/seq/A001/A001369.seq | bd61fd89da5c0d574650333e2f81c992 |
A001370 | Sum of digits of 2^n. | [
"1",
"2",
"4",
"8",
"7",
"5",
"10",
"11",
"13",
"8",
"7",
"14",
"19",
"20",
"22",
"26",
"25",
"14",
"19",
"29",
"31",
"26",
"25",
"41",
"37",
"29",
"40",
"35",
"43",
"41",
"37",
"47",
"58",
"62",
"61",
"59",
"64",
"56",
"67",
"71",
"61",
"50",
"46",
"56",
"58",
"62",
"70",
"68",
"73",
"65",
"76",
"80",
"79",
"77",
"82",
"92",
"85",
"80",
"70",
"77"
] | [
"base",
"easy",
"nonn"
] | 91 | 0 | 5 | [
"A000079",
"A001370",
"A004166",
"A007953",
"A011754",
"A065713",
"A065999",
"A066001",
"A066002",
"A066003",
"A066004",
"A066005",
"A066006",
"A137284",
"A261009"
] | [
"M1085",
"N0414"
] | N. J. A. Sloane, Simon Plouffe | 2022-12-27T08:33:34 | oeisdata/seq/A001/A001370.seq | f3729b436bfc145fb5da49c7069bb509 |
A001371 | Number of n-bead necklaces with beads of 2 colors and primitive period n, when turning over is allowed. | [
"1",
"2",
"1",
"2",
"3",
"6",
"8",
"16",
"24",
"42",
"69",
"124",
"208",
"378",
"668",
"1214",
"2220",
"4110",
"7630",
"14308",
"26931",
"50944",
"96782",
"184408",
"352450",
"675180",
"1296477",
"2493680",
"4805388",
"9272778",
"17919558",
"34669600",
"67156800",
"130215996",
"252741255",
"490984464",
"954629662",
"1857545298"
] | [
"nonn",
"easy",
"nice"
] | 65 | 0 | 5 | [
"A001371",
"A276550"
] | [
"M0115",
"N0045",
"N0285"
] | N. J. A. Sloane | 2023-02-03T16:31:59 | oeisdata/seq/A001/A001371.seq | 6615202dac0f2ea658a1de3c5f879993 |
A001372 | Number of unlabeled mappings (or mapping patterns) from n points to themselves; number of unlabeled endofunctions. | [
"1",
"1",
"3",
"7",
"19",
"47",
"130",
"343",
"951",
"2615",
"7318",
"20491",
"57903",
"163898",
"466199",
"1328993",
"3799624",
"10884049",
"31241170",
"89814958",
"258604642",
"745568756",
"2152118306",
"6218869389",
"17988233052",
"52078309200",
"150899223268",
"437571896993",
"1269755237948",
"3687025544605",
"10712682919341",
"31143566495273",
"90587953109272",
"263627037547365"
] | [
"nonn",
"nice",
"easy"
] | 114 | 0 | 5 | [
"A000312",
"A001372",
"A001373",
"A002861",
"A006961",
"A054050",
"A054745"
] | [
"M2671",
"N1069"
] | N. J. A. Sloane | 2024-06-30T16:39:44 | oeisdata/seq/A001/A001372.seq | 08475c6d9f34976ab262e4ec06443de1 |
A001373 | Number of functional digraphs (digraphs of functions on n nodes where every node has outdegree 1 and loops of length 1 are forbidden). | [
"1",
"0",
"1",
"2",
"6",
"13",
"40",
"100",
"291",
"797",
"2273",
"6389",
"18264",
"51916",
"148666",
"425529",
"1221900",
"3511507",
"10111043",
"29142941",
"84112009",
"243000149",
"702758065",
"2034150215",
"5892907566",
"17084615940",
"49567063847",
"143902155133",
"418032946298",
"1215076634226",
"3533715961160",
"10282042126394",
"29931877173282",
"87173224346464",
"253989569994664"
] | [
"nonn",
"nice",
"easy"
] | 60 | 0 | 5 | [
"A000081",
"A001372",
"A001373",
"A002862",
"A329228"
] | [
"M1597",
"N0623"
] | N. J. A. Sloane | 2022-06-17T14:46:00 | oeisdata/seq/A001/A001373.seq | 1afd1cb8b5c47762f3c0927f994d8310 |
A001374 | Number of relational systems on n nodes. Also number of directed 3-multigraphs with loops on n nodes. | [
"4",
"136",
"44224",
"179228736",
"9383939974144",
"6558936236286040064",
"62879572771326489528942592",
"8439543710699844562674685252214784",
"16110027001555070629022725866559372785352704",
"442829046878106126159584032189649757399796014050181120"
] | [
"nonn",
"nice",
"easy"
] | 37 | 0 | 5 | [
"A000595",
"A001374",
"A004105",
"A053468",
"A053516"
] | [
"M3717",
"N1519"
] | N. J. A. Sloane | 2024-07-10T14:28:18 | oeisdata/seq/A001/A001374.seq | 969b36701b92160ff3bb3cf02af48526 |
A001375 | Relational systems on n nodes. | [
"8",
"2080",
"22386176",
"11728394650624",
"314824619911446167552",
"450720219711043642520721817600",
"35398008262453198128587489274987385192448",
"155682086692129060007763454017522652304844346252853248"
] | [
"nonn"
] | 18 | 0 | 5 | null | [
"M4589",
"N1958"
] | N. J. A. Sloane | 2016-11-21T10:53:50 | oeisdata/seq/A001/A001375.seq | e7ed893510d88442477de302824f836a |
A001376 | Relational systems on n nodes. | [
"4",
"32896",
"3002399885885440",
"14178431955039103827204744901417762816",
"15077094952775546279110805340148653909930339849938544191736262642546769920",
"15403720522893415886546745467461576130202428237004582894538688334760691986727408991549968230000116580053960252500580634898464768"
] | [
"nonn"
] | 18 | 0 | 5 | null | [
"M3726",
"N1523"
] | N. J. A. Sloane | 2016-11-20T23:37:51 | oeisdata/seq/A001/A001376.seq | bf495efaa8c4c13c69372d5a57d932bb |
A001377 | Number of relations with 4 arguments on n nodes. | [
"2",
"32896",
"402975273205975947935744",
"4824670384888174809315457708695329515706856139873561594988392833332671414272"
] | [
"nonn",
"nice"
] | 37 | 0 | 5 | [
"A000595",
"A000662",
"A001377",
"A051241"
] | [
"M2189",
"N0875"
] | N. J. A. Sloane | 2024-07-02T15:12:10 | oeisdata/seq/A001/A001377.seq | ad36fadc8404c5ae2a52140265673c2c |
A001378 | Degrees of irreducible representations of Baby Monster group B. | [
"1",
"4371",
"96255",
"1139374",
"9458750",
"9550635",
"63532485",
"347643114",
"356054375",
"1407126890",
"3214743741",
"4221380670",
"4275362520",
"4622913750",
"9287037474",
"12501781215",
"13508418144",
"27416186875",
"75844139371",
"80426400000"
] | [
"nonn",
"fini",
"full"
] | 23 | 0 | 5 | null | null | N. J. A. Sloane | 2024-06-14T22:31:08 | oeisdata/seq/A001/A001378.seq | 24fda2f833e862564c18833dd7ba0855 |
A001379 | Degrees of irreducible representations of Monster group M. | [
"1",
"196883",
"21296876",
"842609326",
"18538750076",
"19360062527",
"293553734298",
"3879214937598",
"36173193327999",
"125510727015275",
"190292345709543",
"222879856734249",
"1044868466775133",
"1109944460516150",
"2374124840062976",
"8980616927734375",
"8980616927734375",
"15178147608537368"
] | [
"nonn",
"fini",
"full",
"nice"
] | 51 | 0 | 5 | [
"A001379",
"A002267",
"A003131",
"A051161"
] | null | N. J. A. Sloane | 2025-02-16T08:32:23 | oeisdata/seq/A001/A001379.seq | cdc8d65728b4c2b570e5a8329c38e15a |
A001380 | Weight distribution of binary Golay code of length 24. | [
"1",
"0",
"759",
"2576",
"759",
"0",
"1"
] | [
"nonn",
"fini",
"full"
] | 16 | 0 | 5 | [
"A001380",
"A002289",
"A034414",
"A034415"
] | null | N. J. A. Sloane | 2022-02-01T01:34:44 | oeisdata/seq/A001/A001380.seq | d000e43c0748e515de02d92cd6a83ca7 |
A001381 | Weight distribution of binary [ 48,24,12 ] quadratic residue code. | [
"1",
"0",
"0",
"17296",
"535095",
"3995376",
"7681680",
"3995376",
"535095",
"17296",
"0",
"0",
"1"
] | [
"nonn",
"fini",
"full"
] | 10 | 0 | 5 | null | null | N. J. A. Sloane | 2022-09-08T08:44:29 | oeisdata/seq/A001/A001381.seq | 53fbee4f12245e574d08726658960a0a |
A001382 | Weight distribution of ternary [ 24,12,9 ] quadratic residue code (also of Pless symmetry code). | [
"1",
"0",
"0",
"4048",
"61824",
"242880",
"198352",
"24288",
"48"
] | [
"nonn",
"fini",
"full"
] | 11 | 0 | 5 | [
"A001382",
"A112641"
] | null | N. J. A. Sloane | 2022-09-08T08:44:29 | oeisdata/seq/A001/A001382.seq | 4f8d563ca68baa0ce38c249924b88048 |
A001383 | Number of n-node rooted trees of height at most 3. | [
"1",
"1",
"1",
"2",
"4",
"8",
"15",
"29",
"53",
"98",
"177",
"319",
"565",
"1001",
"1749",
"3047",
"5264",
"9054",
"15467",
"26320",
"44532",
"75054",
"125904",
"210413",
"350215",
"580901",
"960035",
"1581534",
"2596913",
"4251486",
"6939635",
"11296231",
"18337815",
"29692431",
"47956995",
"77271074",
"124212966"
] | [
"nonn",
"easy",
"nice"
] | 51 | 0 | 5 | [
"A000041",
"A001383",
"A001385",
"A034823",
"A034826"
] | [
"M1107",
"N0422"
] | N. J. A. Sloane | 2021-12-19T09:57:48 | oeisdata/seq/A001/A001383.seq | 83a9eff73e23915b3b36d385400c2449 |
A001384 | Number of n-node trees of height at most 4. | [
"1",
"1",
"1",
"2",
"4",
"9",
"19",
"42",
"89",
"191",
"402",
"847",
"1763",
"3667",
"7564",
"15564",
"31851",
"64987",
"132031",
"267471",
"539949",
"1087004",
"2181796",
"4367927",
"8721533",
"17372967",
"34524291",
"68456755",
"135446896",
"267444085",
"527027186",
"1036591718",
"2035083599"
] | [
"nonn"
] | 41 | 0 | 5 | [
"A001383",
"A001384"
] | [
"M1172",
"N0449"
] | N. J. A. Sloane | 2021-12-19T09:58:04 | oeisdata/seq/A001/A001384.seq | b7eb95b5fdd4bfd8fd13291500885158 |
A001385 | Number of n-node trees of height at most 5. | [
"1",
"1",
"1",
"2",
"4",
"9",
"20",
"47",
"108",
"252",
"582",
"1345",
"3086",
"7072",
"16121",
"36667",
"83099",
"187885",
"423610",
"953033",
"2139158",
"4792126",
"10714105",
"23911794",
"53273599",
"118497834",
"263164833",
"583582570",
"1292276355",
"2857691087",
"6311058671",
"13919982308",
"30664998056",
"67473574130"
] | [
"nonn"
] | 34 | 0 | 5 | [
"A001383",
"A001385"
] | [
"M1177",
"N0453"
] | N. J. A. Sloane | 2021-12-19T09:58:17 | oeisdata/seq/A001/A001385.seq | 69e5940c6e9a27c7c3babc9668b4dbdf |
A001386 | Coordination sequence for 4-dimensional I-centered tetragonal orthogonal lattice. | [
"1",
"12",
"56",
"164",
"368",
"700",
"1192",
"1876",
"2784",
"3948",
"5400",
"7172",
"9296",
"11804",
"14728",
"18100",
"21952",
"26316",
"31224",
"36708",
"42800",
"49532",
"56936",
"65044",
"73888",
"83500",
"93912",
"105156",
"117264",
"130268",
"144200",
"159092",
"174976",
"191884",
"209848",
"228900",
"249072",
"270396",
"292904"
] | [
"nonn",
"easy"
] | 22 | 0 | 5 | [
"A001386",
"A004006"
] | null | N. J. A. Sloane | 2023-12-10T15:53:47 | oeisdata/seq/A001/A001386.seq | f1e827e5df2fcd56c848898e331fb668 |
A001387 | The binary "look and say" sequence. | [
"1",
"11",
"101",
"111011",
"11110101",
"100110111011",
"111001011011110101",
"111100111010110100110111011",
"100110011110111010110111001011011110101",
"1110010110010011011110111010110111100111010110100110111011"
] | [
"nonn",
"base"
] | 63 | 0 | 5 | [
"A001387",
"A001391",
"A005150",
"A049190",
"A049194"
] | null | Thomas L. York | 2022-10-05T22:58:18 | oeisdata/seq/A001/A001387.seq | e05be9eac34feaa4da4851fb67eba501 |
A001388 | Describe the previous term (in base 3)!. | [
"1",
"11",
"21",
"1211",
"111221",
"1012211",
"1110112221",
"101102110211",
"111021101221101221",
"1011012211011222110112211",
"1110211011222110211022110212221",
"10110122110211022110122110222110121110211"
] | [
"nonn",
"base",
"easy"
] | 27 | 0 | 5 | [
"A001388",
"A005150"
] | null | Thomas L. York | 2024-05-21T01:16:26 | oeisdata/seq/A001/A001388.seq | e76418f201159a41a29c0697525f2d52 |
A001389 | To get the 6th term, for example, note that 5th term has three (10 in ternary!) 1's, one (1) 0, etc., giving 10 1 1 0 1 2 2 1 1 2. | [
"2",
"12",
"1112",
"10112",
"11102112",
"10110122112",
"1110211011222112",
"10110122110211022112",
"1110211011222110122110222112",
"10110122110211022110112221101022112",
"11102110112221101221102221102110221101110222112"
] | [
"nonn",
"base"
] | 19 | 0 | 5 | [
"A001388",
"A001389"
] | null | N. J. A. Sloane, Thomas L. York | 2017-03-25T05:34:49 | oeisdata/seq/A001/A001389.seq | 2e47e267469e3cf88ee23cb63d36c716 |
A001390 | Smallest multiplicative generator for quadratic residues mod prime(n). | [
"1",
"1",
"4",
"2",
"3",
"4",
"2",
"4",
"2",
"4",
"7",
"3",
"2",
"9",
"2",
"4",
"3",
"4",
"4",
"2",
"6",
"2",
"3",
"5",
"2",
"4",
"2",
"3",
"12",
"9",
"9",
"3",
"2",
"4",
"4",
"5",
"3",
"4",
"2",
"4",
"3",
"4",
"2",
"2",
"4",
"2",
"4",
"9",
"3",
"5",
"7",
"2",
"3",
"3",
"9",
"2",
"4",
"2",
"7",
"5",
"6",
"4",
"7",
"2",
"2",
"4",
"5",
"3",
"3",
"3",
"9",
"2",
"2",
"3",
"4",
"2",
"4",
"3",
"2",
"2",
"3",
"4",
"5",
"6",
"5",
"3",
"2",
"3",
"4",
"2",
"3",
"2",
"2",
"4",
"5",
"2",
"4",
"2",
"4",
"4",
"4",
"4",
"3",
"2",
"5",
"17"
] | [
"nonn"
] | 25 | 0 | 5 | [
"A000040",
"A001390"
] | null | N. J. A. Sloane | 2021-12-23T23:05:16 | oeisdata/seq/A001/A001390.seq | dc950e4e880f0f70534dd2d88e5d949a |
A001391 | To get the 3rd term, for example, note that 2nd term has three (11 in binary!) 1's and one (1) 0, giving 11 1 1 0. | [
"10",
"1110",
"11110",
"100110",
"1110010110",
"111100111010110",
"100110011110111010110",
"1110010110010011011110111010110",
"1111001110101100111001011010011011110111010110"
] | [
"nonn",
"base"
] | 13 | 0 | 5 | [
"A001387",
"A001391"
] | null | N. J. A. Sloane, Thomas L. York | 2017-04-04T04:46:20 | oeisdata/seq/A001/A001391.seq | 67ac656a59f892475a53b83692d6f930 |
A001392 | a(n) = 9*binomial(2n,n-4)/(n+5). | [
"1",
"9",
"54",
"273",
"1260",
"5508",
"23256",
"95931",
"389367",
"1562275",
"6216210",
"24582285",
"96768360",
"379629720",
"1485507600",
"5801732460",
"22626756594",
"88152205554",
"343176898988",
"1335293573130",
"5193831553416",
"20198233818840",
"78542105700240",
"305417807763705"
] | [
"nonn",
"easy"
] | 72 | 0 | 5 | [
"A000108",
"A000245",
"A000344",
"A000588",
"A001392",
"A001622",
"A002057",
"A003517",
"A003518",
"A003519",
"A009766",
"A026015",
"A030237",
"A033184",
"A047072",
"A059365",
"A099039",
"A106566",
"A130020"
] | [
"M4637",
"N1981"
] | N. J. A. Sloane | 2022-01-02T09:48:48 | oeisdata/seq/A001/A001392.seq | b11ee1ca36a8e47642ab5b9e0a1bb281 |
A001393 | High temperature series for spin-1/2 Ising free energy on 3-dimensional simple cubic lattice. | [
"1",
"0",
"3",
"22",
"192",
"2046",
"24853",
"329334",
"4649601",
"68884356",
"1059830112",
"16809862992",
"273374177222",
"4539862959852",
"76744615270821",
"1317316023432372",
"22913901542478978",
"403242080061821802",
"7169757254509112094",
"128654570700129670404",
"2327634530912450464791",
"42424918919225263486322",
"778469235834728913157632",
"14371906938404203811137770"
] | [
"nonn",
"nice"
] | 35 | 0 | 5 | [
"A001393",
"A001406",
"A001407",
"A002891",
"A010571"
] | [
"M3093",
"N1253"
] | N. J. A. Sloane | 2022-02-14T07:33:15 | oeisdata/seq/A001/A001393.seq | 173208ed2c0ee2892432d66633efdb45 |
A001394 | Number of n-step self-avoiding walks on diamond. | [
"1",
"4",
"12",
"36",
"108",
"324",
"948",
"2796",
"8196",
"24060",
"70188",
"205284",
"597996",
"1744548",
"5073900",
"14774652",
"42922452",
"124814484",
"362267652",
"1052271732",
"3051900516",
"8857050204",
"25671988020",
"74449697484",
"215677847460",
"625096195404",
"1810062340812",
"5243388472212"
] | [
"nonn",
"walk",
"nice"
] | 38 | 0 | 5 | [
"A001394",
"A001395",
"A001396",
"A001397",
"A001398",
"A097700",
"A176086",
"A227715",
"A227716"
] | [
"M3452",
"N1403"
] | N. J. A. Sloane | 2023-09-03T20:59:15 | oeisdata/seq/A001/A001394.seq | 9478800a7b7b5c83f1087e58c1ae59ba |
A001395 | Number of (2n+1)-step self-avoiding walks on diamond lattice ending at point with x = 1. | [
"2",
"10",
"74",
"518",
"3934",
"29914",
"232094",
"1812890",
"14277886",
"113016230",
"898797262",
"7173454238",
"57431351010",
"460989676450",
"3708603354110",
"29893215059758"
] | [
"nonn",
"walk",
"more"
] | 30 | 0 | 5 | [
"A001394",
"A001395",
"A001396",
"A001397",
"A001398",
"A227715",
"A227716"
] | [
"M1973",
"N0782"
] | N. J. A. Sloane | 2021-12-23T23:04:02 | oeisdata/seq/A001/A001395.seq | f8f720721485f4a78c9c1493dbff0b31 |
A001396 | Number of 2n-step self-avoiding walks on diamond lattice ending at point with x = 0. | [
"1",
"4",
"28",
"188",
"1428",
"10708",
"82948",
"644788",
"5067404",
"40016460",
"317727164",
"2532064332",
"20247784124",
"162353831796",
"1304943724900",
"10510168583516"
] | [
"nonn",
"walk",
"more"
] | 27 | 0 | 5 | [
"A001394",
"A001395",
"A001396",
"A001397",
"A001398",
"A227715",
"A227716"
] | [
"M3623",
"N1471"
] | N. J. A. Sloane | 2021-12-23T23:03:48 | oeisdata/seq/A001/A001396.seq | 07c643ee82819c0398c8bba31ad81fde |
A001397 | Number of 2n-step self-avoiding walks on diamond lattice ending at point with x = 2. | [
"4",
"24",
"188",
"1368",
"10572",
"81376",
"637148",
"5007560",
"39638728",
"314980912",
"2513038452",
"20109809792",
"161359033480",
"1297640775272",
"10456351280264"
] | [
"nonn",
"walk",
"more"
] | 24 | 0 | 5 | [
"A001394",
"A001395",
"A001396",
"A001397",
"A001398",
"A227715",
"A227716"
] | [
"M3602",
"N1461"
] | N. J. A. Sloane | 2021-12-23T23:03:34 | oeisdata/seq/A001/A001397.seq | 877b240de855f2164deeb64c09945126 |
A001398 | Number of (2n+1)-step self-avoiding walks on diamond lattice ending at point with x = 3. | [
"8",
"56",
"464",
"3520",
"27768",
"217316",
"1719616",
"13633972",
"108620060",
"867750412",
"6952901716",
"55838915036",
"449398552664",
"3623393504692",
"29262315259524"
] | [
"nonn",
"walk",
"more"
] | 25 | 0 | 5 | [
"A001394",
"A001395",
"A001396",
"A001397",
"A001398",
"A227715",
"A227716"
] | [
"M4546",
"N1930"
] | N. J. A. Sloane | 2019-01-12T10:30:33 | oeisdata/seq/A001/A001398.seq | bbd820d1aa0d399a87e59c3f4a2d13e2 |
A001399 | a(n) is the number of partitions of n into at most 3 parts; also partitions of n+3 in which the greatest part is 3; also number of unlabeled multigraphs with 3 nodes and n edges. | [
"1",
"1",
"2",
"3",
"4",
"5",
"7",
"8",
"10",
"12",
"14",
"16",
"19",
"21",
"24",
"27",
"30",
"33",
"37",
"40",
"44",
"48",
"52",
"56",
"61",
"65",
"70",
"75",
"80",
"85",
"91",
"96",
"102",
"108",
"114",
"120",
"127",
"133",
"140",
"147",
"154",
"161",
"169",
"176",
"184",
"192",
"200",
"208",
"217",
"225",
"234",
"243",
"252",
"261",
"271",
"280",
"290",
"300",
"310",
"320",
"331",
"341"
] | [
"nonn",
"easy",
"nice",
"changed"
] | 459 | 0 | 5 | [
"A000228",
"A001399",
"A001400",
"A001401",
"A003082",
"A007304",
"A008615",
"A008619",
"A008724",
"A014612",
"A026810",
"A026811",
"A026812",
"A026813",
"A026814",
"A026815",
"A026816",
"A036496",
"A037144",
"A051037",
"A051263",
"A069905",
"A080193",
"A117485",
"A143207",
"A192517",
"A266744",
"A266751",
"A307534"
] | [
"M0518",
"N0186"
] | N. J. A. Sloane | 2025-04-20T20:13:34 | oeisdata/seq/A001/A001399.seq | 8abcb3ab68d73b88d770d619b95a5717 |
A001400 | Number of partitions of n into at most 4 parts. | [
"1",
"1",
"2",
"3",
"5",
"6",
"9",
"11",
"15",
"18",
"23",
"27",
"34",
"39",
"47",
"54",
"64",
"72",
"84",
"94",
"108",
"120",
"136",
"150",
"169",
"185",
"206",
"225",
"249",
"270",
"297",
"321",
"351",
"378",
"411",
"441",
"478",
"511",
"551",
"588",
"632",
"672",
"720",
"764",
"816",
"864",
"920",
"972",
"1033",
"1089",
"1154",
"1215",
"1285",
"1350",
"1425",
"1495"
] | [
"nonn",
"easy"
] | 257 | 0 | 5 | [
"A001399",
"A001400",
"A001401",
"A002621",
"A005044",
"A008284",
"A008619",
"A026810",
"A026820",
"A070083",
"A117486"
] | [
"M0627",
"N0229"
] | N. J. A. Sloane | 2025-03-30T15:52:25 | oeisdata/seq/A001/A001400.seq | 09d344da45492c84ab8d537113b1cc2b |
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