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| sequence_name
stringlengths 4
573
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listlengths 1
348
| keywords
listlengths 1
8
| score
int64 1
2.35k
| 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
2025-07-14 02:38:35
| filename
stringlengths 29
29
| hash
stringlengths 32
32
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A362201 | a(n) = number of isogeny classes of dimension 3 abelian varieties over the finite field of order prime(n). | [
"215",
"677",
"2953",
"7979",
"30543",
"50371",
"112283",
"156589",
"277517",
"555843",
"678957",
"1153875",
"1569637",
"1810805",
"2364089",
"3389675",
"4675707",
"5167277",
"6846631",
"8147047",
"8855295",
"11222313",
"13014767",
"16045439",
"20772343",
"23449327",
"24870063",
"27880975",
"29473619",
"32839031",
"46617799",
"51162221"
]
| [
"nonn"
]
| 20 | 1 | 1 | [
"A362198",
"A362201",
"A362570"
]
| null | Robin Visser, Apr 10 2023 | 2023-07-23T22:23:15 | oeisdata/seq/A362/A362201.seq | 4fbe04d3e50c7450dfa27c6189ac0df4 |
A362202 | Lexicographic earliest sequence of distinct positive integers having the same concatenation of digits as the sequence 2^a(n). | [
"6",
"4",
"1",
"62",
"46",
"11",
"68",
"60",
"18",
"42",
"7",
"3",
"8",
"790",
"470",
"36",
"87",
"44",
"17",
"76",
"64",
"20",
"48",
"2",
"9",
"5",
"14",
"7905",
"179",
"35",
"28",
"25",
"85",
"61",
"15",
"29",
"21",
"50",
"460",
"684",
"69",
"762",
"621",
"444",
"39",
"80",
"465",
"1110",
"41",
"288",
"256",
"65",
"117",
"32",
"84",
"4609",
"23",
"26",
"89",
"53",
"110",
"52",
"643",
"7622",
"83",
"175",
"24",
"1780",
"49",
"13"
]
| [
"nonn",
"base"
]
| 9 | 1 | 1 | [
"A000079",
"A362191",
"A362202"
]
| null | M. F. Hasler, Apr 10 2023 | 2024-01-25T07:55:38 | oeisdata/seq/A362/A362202.seq | cfa6a4053d63efd0f9217dc80ae1100f |
A362203 | First of three consecutive primes p,q,r such that p+q, p+r and q+r are all triprimes. | [
"1559",
"3449",
"5237",
"5987",
"9241",
"12119",
"16787",
"16943",
"22397",
"22871",
"24697",
"27143",
"29881",
"30809",
"33203",
"40241",
"41149",
"50627",
"57601",
"59473",
"60169",
"64817",
"69151",
"73727",
"78929",
"86629",
"89231",
"94747",
"97511",
"98479",
"108037",
"114847",
"119513",
"122533",
"123887",
"132371",
"134741",
"134789",
"138739",
"140419",
"141539"
]
| [
"nonn"
]
| 15 | 1 | 1 | [
"A001358",
"A014612",
"A362203"
]
| null | Zak Seidov and Robert Israel, Apr 10 2023 | 2023-04-16T15:55:12 | oeisdata/seq/A362/A362203.seq | 11c000d329503b67b00a59d43dd14fca |
A362204 | Expansion of e.g.f. exp(x/sqrt(1-2*x)). | [
"1",
"1",
"3",
"16",
"121",
"1176",
"13921",
"193978",
"3106881",
"56201176",
"1132709041",
"25162197006",
"610668537073",
"16073212005436",
"455980333073721",
"13868451147012946",
"450140785396634881",
"15529495879187075088",
"567427732311438658081",
"21889446540911251445206"
]
| [
"nonn",
"easy"
]
| 15 | 0 | 3 | [
"A025168",
"A362163",
"A362204"
]
| null | Seiichi Manyama, Apr 11 2023 | 2024-02-20T04:38:09 | oeisdata/seq/A362/A362204.seq | 97eb0208aed1ba5ee65956053db74c06 |
A362205 | Expansion of e.g.f. exp(x/(1-3*x)^(1/3)). | [
"1",
"1",
"3",
"19",
"185",
"2401",
"38731",
"745123",
"16630769",
"422157025",
"12005107091",
"377957000851",
"13048046175913",
"490052749100929",
"19890724260375515",
"867582126490694371",
"40467070835396193761",
"2009901604798183428673",
"105901641663222888913699"
]
| [
"nonn",
"easy"
]
| 15 | 0 | 3 | [
"A321837",
"A362164",
"A362188",
"A362205"
]
| null | Seiichi Manyama, Apr 11 2023 | 2023-04-11T11:33:24 | oeisdata/seq/A362/A362205.seq | 9bbaea1dff94009bbdbd0141a4dcb14d |
A362206 | Expansion of 1/(1 - x/(1-9*x)^(1/3)). | [
"1",
"1",
"4",
"25",
"181",
"1399",
"11212",
"91936",
"765805",
"6452449",
"54841438",
"469306102",
"4038193870",
"34903997029",
"302828905471",
"2635745917759",
"23003622046900",
"201241080558652",
"1764149626139119",
"15493365042402772",
"136288275628625410",
"1200600389345625754"
]
| [
"nonn",
"easy"
]
| 15 | 0 | 3 | [
"A026671",
"A362157",
"A362206",
"A362210"
]
| null | Seiichi Manyama, Apr 11 2023 | 2024-02-19T12:06:49 | oeisdata/seq/A362/A362206.seq | 21eb2086a9156765265e719c7388076a |
A362207 | a(n) is the number of unordered triples of shortest nonintersecting grid paths joining two opposite corners of an n X n X n grid. | [
"2",
"1440",
"5039744",
"30456915312",
"244247250106272",
"2330237215901633376",
"25005390829898900970720",
"292102859220245236374450192",
"3638369778575244135648725730848",
"47651985114895805442163075548018912",
"649794504408024777960179124905242154688"
]
| [
"nonn"
]
| 32 | 1 | 1 | [
"A000891",
"A362207"
]
| null | Janaka Rodrigo, Apr 11 2023 | 2023-04-13T00:28:22 | oeisdata/seq/A362/A362207.seq | f7a1f2cafb60ca53f8047eb3b9cddf92 |
A362208 | Irregular triangle read by rows: T(n, k) is the number of compositions (ordered partitions) of n into exactly k distinct parts between the members of [k^2]. | [
"1",
"0",
"0",
"2",
"0",
"2",
"0",
"4",
"0",
"2",
"6",
"0",
"2",
"6",
"0",
"0",
"12",
"0",
"0",
"18",
"0",
"0",
"24",
"24",
"0",
"0",
"30",
"24",
"0",
"0",
"42",
"48",
"0",
"0",
"42",
"72",
"0",
"0",
"48",
"120",
"0",
"0",
"48",
"144",
"120",
"0",
"0",
"48",
"216",
"120",
"0",
"0",
"42",
"264",
"240",
"0",
"0",
"42",
"360",
"360",
"0",
"0",
"30",
"432",
"600",
"0",
"0",
"24",
"552",
"840",
"0",
"0",
"18",
"648",
"1200",
"720"
]
| [
"nonn",
"tabf"
]
| 14 | 1 | 4 | [
"A000290",
"A003056",
"A072574",
"A216652",
"A362208",
"A362209",
"A362221"
]
| null | Stefano Spezia, Apr 11 2023 | 2023-04-16T20:37:29 | oeisdata/seq/A362/A362208.seq | 0f02636a1cdf2577b31d883108beddc1 |
A362209 | Irregular triangle read by rows: T(n, k) is the number of k X k matrices using all the integers from 1 to k^2 and having trace equal to n, with 1 <= k <= A003056(n). | [
"1",
"0",
"0",
"4",
"0",
"4",
"0",
"8",
"0",
"4",
"4320",
"0",
"4",
"4320",
"0",
"0",
"8640",
"0",
"0",
"12960",
"0",
"0",
"17280",
"11496038400",
"0",
"0",
"21600",
"11496038400",
"0",
"0",
"30240",
"22992076800",
"0",
"0",
"30240",
"34488115200",
"0",
"0",
"34560",
"57480192000",
"0",
"0",
"34560",
"68976230400",
"291948240981196800000"
]
| [
"nonn",
"tabf"
]
| 11 | 1 | 4 | [
"A000290",
"A003056",
"A345132",
"A362187",
"A362208",
"A362209"
]
| null | Stefano Spezia, Apr 11 2023 | 2023-04-16T20:37:44 | oeisdata/seq/A362/A362209.seq | 726596c4418cf008ab69ea57c97bf84b |
A362210 | Expansion of 1/(1 - x/(1-9*x)^(2/3)). | [
"1",
"1",
"7",
"58",
"505",
"4498",
"40576",
"368965",
"3373225",
"30958240",
"284934754",
"2628211291",
"24283705558",
"224677646416",
"2081054132179",
"19293026227024",
"178996540057615",
"1661743445778403",
"15435351753092176",
"143439377236572826",
"1333496145331028230"
]
| [
"nonn",
"easy"
]
| 8 | 0 | 3 | [
"A362206",
"A362210"
]
| null | Seiichi Manyama, Apr 11 2023 | 2023-04-11T11:34:30 | oeisdata/seq/A362/A362210.seq | 06be353cc2724c1976e3d72987f28c3b |
A362211 | a(n) is the unique solution to A323410(x) = A362185(n). | [
"1",
"6",
"15",
"21",
"35",
"11392",
"1688",
"10048",
"53632",
"101632",
"5272",
"2632",
"6616",
"50368",
"1386",
"102016",
"1716",
"1722",
"161152",
"4356",
"11992",
"92992",
"4716",
"101312",
"589312",
"2634",
"644608",
"3538",
"3778",
"898048",
"30896",
"16312",
"3610",
"3510",
"4702",
"1432576",
"4626",
"606976",
"8908",
"3738",
"343936"
]
| [
"nonn"
]
| 10 | 1 | 2 | [
"A131826",
"A323410",
"A362185",
"A362211",
"A362212"
]
| null | Amiram Eldar, Apr 11 2023 | 2023-04-12T08:06:01 | oeisdata/seq/A362/A362211.seq | 7684c16677f8d846b38e8d2715f6ddd4 |
A362212 | a(n) is the unique solution to A047994(x) = A361969(n). | [
"4",
"8",
"24",
"16",
"32",
"76",
"96",
"64",
"128",
"184",
"236",
"216",
"224",
"316",
"332",
"384",
"256",
"344",
"552",
"428",
"376",
"424",
"472",
"556",
"544",
"768",
"512",
"692",
"716",
"608",
"664",
"796",
"1128",
"892",
"908",
"896",
"1076",
"864",
"1416",
"1132",
"944",
"1268",
"1536",
"1024",
"1372",
"1192",
"1436",
"1468",
"1532",
"1992",
"1556",
"1384"
]
| [
"nonn"
]
| 11 | 1 | 1 | [
"A047994",
"A131826",
"A135347",
"A361966",
"A361969",
"A362211",
"A362212"
]
| null | Amiram Eldar, Apr 11 2023 | 2023-04-12T08:05:55 | oeisdata/seq/A362/A362212.seq | 7cc5a3eebb58e5b9435a8e6aba633e39 |
A362213 | Irregular table read by rows in which the n-th row consists of all the numbers m such that cototient(m) = n, where cototient is A051953. | [
"4",
"9",
"6",
"8",
"25",
"10",
"15",
"49",
"12",
"14",
"16",
"21",
"27",
"35",
"121",
"18",
"20",
"22",
"33",
"169",
"26",
"39",
"55",
"24",
"28",
"32",
"65",
"77",
"289",
"34",
"51",
"91",
"361",
"38",
"45",
"57",
"85",
"30",
"95",
"119",
"143",
"529",
"36",
"40",
"44",
"46",
"69",
"125",
"133",
"63",
"81",
"115",
"187",
"52",
"161",
"209",
"221",
"841",
"42",
"50",
"58",
"87",
"247",
"961"
]
| [
"nonn",
"tabf"
]
| 11 | 2 | 1 | [
"A005278",
"A032447",
"A051953",
"A063507",
"A063740",
"A063741",
"A063742",
"A063748",
"A100827",
"A101373",
"A131825",
"A131826",
"A361966",
"A362180",
"A362213"
]
| null | Amiram Eldar, Apr 11 2023 | 2023-04-12T08:05:50 | oeisdata/seq/A362/A362213.seq | e936d17cd8edb3bc7f253a0c0ef6f371 |
A362214 | a(n) = the hypergraph Fuss-Catalan number FC_(2,2)(n). | [
"1",
"1",
"144",
"1341648",
"693520980336"
]
| [
"nonn",
"walk",
"more"
]
| 14 | 0 | 3 | [
"A000108",
"A355262",
"A362167",
"A362214",
"A362215",
"A362216",
"A362217"
]
| null | Peter Bala, Apr 11 2023 | 2023-04-25T06:15:59 | oeisdata/seq/A362/A362214.seq | fc0c270c12fdbeeb020a8e9bd47c5842 |
A362215 | a(n) = the hypergraph Fuss-Catalan number FC_(2,3)(n). | [
"1",
"1",
"480",
"200225",
"18527520",
"45589896150400"
]
| [
"nonn",
"walk",
"more"
]
| 10 | 0 | 3 | [
"A000108",
"A355262",
"A362167",
"A362214",
"A362215",
"A362216",
"A362217"
]
| null | Peter Bala, Apr 11 2023 | 2023-04-25T06:16:16 | oeisdata/seq/A362/A362215.seq | fd11f5a7ed26af2a71708a96f5340701 |
A362216 | a(n) = the hypergraph Fuss-Catalan number FC_(3,2)(n). | [
"1",
"1",
"11532",
"628958939250",
"163980917165716725552156"
]
| [
"nonn",
"walk",
"more"
]
| 11 | 0 | 3 | [
"A000108",
"A355262",
"A362167",
"A362214",
"A362215",
"A362216",
"A362217"
]
| null | Peter Bala, Apr 11 2023 | 2023-04-25T06:16:43 | oeisdata/seq/A362/A362216.seq | 6569bea7cfeafc7fe4c835e353190fe3 |
A362217 | a(n) = the hypergraph Fuss-Catalan number FC_(3,3)(n). | [
"1",
"1",
"38440",
"8272793255000",
"9396808005460764741084000"
]
| [
"nonn",
"walk",
"more"
]
| 13 | 0 | 3 | [
"A000108",
"A355262",
"A362167",
"A362214",
"A362215",
"A362216",
"A362217"
]
| null | Peter Bala, Apr 11 2023 | 2023-04-25T06:16:30 | oeisdata/seq/A362/A362217.seq | 6750801e13f7113b2217fc8dc8211392 |
A362218 | Three-column array read by rows: row n gives the unique ordered primitive Pythagorean triple (a,b,c) with a<b such that (b+c)/a = n. | [
"3",
"4",
"5",
"8",
"15",
"17",
"5",
"12",
"13",
"12",
"35",
"37",
"7",
"24",
"25",
"16",
"63",
"65",
"9",
"40",
"41",
"20",
"99",
"101",
"11",
"60",
"61",
"24",
"143",
"145",
"13",
"84",
"85",
"28",
"195",
"197",
"15",
"112",
"113",
"32",
"255",
"257",
"17",
"144",
"145",
"36",
"323",
"325",
"19",
"180",
"181",
"40",
"399",
"401"
]
| [
"nonn",
"tabf"
]
| 37 | 3 | 1 | [
"A022998",
"A066830",
"A228564",
"A362218"
]
| null | Miguel-Ángel Pérez García-Ortega, Apr 11 2023 | 2023-04-30T18:11:34 | oeisdata/seq/A362/A362218.seq | 31b39ed261e7bede6fb046d601af23eb |
A362219 | Decimal expansion of smallest positive solution to tan(x) = arctan(x). | [
"4",
"0",
"6",
"7",
"5",
"8",
"8",
"8",
"6",
"5",
"7",
"6",
"5",
"8",
"6",
"2",
"7",
"9",
"0",
"9",
"1",
"7",
"0",
"8",
"5",
"0",
"2",
"5",
"3",
"1",
"2",
"4",
"1",
"1",
"3",
"1",
"9",
"0",
"6",
"8",
"3",
"0",
"0",
"6",
"7",
"4",
"4",
"9",
"3",
"9",
"5",
"7",
"9",
"2",
"2",
"6",
"3",
"7",
"2",
"6",
"3",
"4",
"3",
"6",
"5",
"5",
"1",
"4",
"6",
"5",
"8",
"6",
"2",
"6",
"6",
"0",
"5",
"4",
"7",
"1",
"0",
"1",
"5",
"5",
"9",
"0",
"2",
"8",
"2",
"3",
"7",
"7",
"0",
"4",
"4",
"0",
"0",
"1",
"1",
"6",
"8",
"2",
"0"
]
| [
"cons",
"nonn"
]
| 7 | 1 | 1 | [
"A115365",
"A362219",
"A362220"
]
| null | Wolfe Padawer, Apr 11 2023 | 2023-05-09T00:30:37 | oeisdata/seq/A362/A362219.seq | 97007262fe7e9d15f062f143103faf72 |
A362220 | Decimal expansion of smallest positive root of x = tan(tan(x)). | [
"1",
"3",
"2",
"9",
"7",
"3",
"1",
"2",
"2",
"0",
"6",
"7",
"8",
"9",
"4",
"5",
"5",
"1",
"5",
"7",
"3",
"7",
"1",
"4",
"6",
"0",
"6",
"5",
"5",
"8",
"4",
"6",
"4",
"8",
"5",
"8",
"9",
"6",
"0",
"4",
"8",
"2",
"9",
"8",
"5",
"7",
"4",
"9",
"0",
"3",
"8",
"0",
"4",
"3",
"6",
"7",
"5",
"1",
"2",
"4",
"6",
"4",
"5",
"7",
"9",
"7",
"9",
"9",
"7",
"8",
"0",
"4",
"7",
"0",
"6",
"0",
"1",
"4",
"3",
"2",
"0",
"4",
"5",
"8",
"3",
"8",
"2",
"3",
"7",
"1",
"3",
"6",
"9",
"5",
"1",
"6",
"2",
"4",
"8",
"8",
"4",
"3",
"6"
]
| [
"cons",
"nonn"
]
| 8 | 1 | 2 | [
"A115365",
"A362219",
"A362220"
]
| null | Wolfe Padawer, Apr 11 2023 | 2023-05-09T00:30:32 | oeisdata/seq/A362/A362220.seq | de25c62b164c4a61a373e99a7e81905f |
A362221 | Irregular triangle read by rows: T(n, k) is the number of partitions of n into exactly k distinct parts between the members of [k^2]. | [
"1",
"0",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"1",
"1",
"0",
"1",
"1",
"0",
"0",
"2",
"0",
"0",
"3",
"0",
"0",
"4",
"1",
"0",
"0",
"5",
"1",
"0",
"0",
"7",
"2",
"0",
"0",
"7",
"3",
"0",
"0",
"8",
"5",
"0",
"0",
"8",
"6",
"1",
"0",
"0",
"8",
"9",
"1",
"0",
"0",
"7",
"11",
"2",
"0",
"0",
"7",
"15",
"3",
"0",
"0",
"5",
"18",
"5",
"0",
"0",
"4",
"23",
"7",
"0",
"0",
"3",
"27",
"10",
"1",
"0",
"0",
"2",
"34",
"13",
"1",
"0",
"0",
"1",
"38",
"18",
"2"
]
| [
"nonn",
"tabf"
]
| 9 | 1 | 8 | [
"A000290",
"A003056",
"A072574",
"A216652",
"A362208",
"A362221"
]
| null | Stefano Spezia, Apr 11 2023 | 2023-04-16T20:37:57 | oeisdata/seq/A362/A362221.seq | 0e509922e4e96347ad0384013130f6e2 |
A362222 | Slowest increasing sequence where a(n) + n^2 is a prime. | [
"1",
"3",
"4",
"7",
"12",
"17",
"18",
"19",
"20",
"27",
"28",
"29",
"30",
"31",
"32",
"37",
"42",
"43",
"48",
"49",
"50",
"57",
"58",
"65",
"66",
"67",
"68",
"69",
"70",
"71",
"72",
"73",
"74",
"75",
"76",
"77",
"78",
"79",
"80",
"93",
"96",
"97",
"100",
"103",
"104",
"105",
"124",
"133",
"138",
"147",
"148",
"153",
"154",
"163",
"166",
"171",
"184",
"193",
"196",
"197",
"198",
"205"
]
| [
"nonn"
]
| 17 | 1 | 2 | [
"A053000",
"A107819",
"A362222"
]
| null | Angad Singh, Apr 11 2023 | 2023-04-16T20:27:20 | oeisdata/seq/A362/A362222.seq | 9ed801575143d67a13aa210cebd6b063 |
A362223 | a(n) is the number of n-celled fixed rounded polyominoes. | [
"1",
"4",
"20",
"113",
"682",
"4294",
"27830",
"184240",
"1239575",
"8446660",
"58150684",
"403735761"
]
| [
"nonn",
"more"
]
| 7 | 1 | 2 | [
"A056840",
"A362223",
"A362224"
]
| null | John Mason, Apr 11 2023 | 2023-04-12T10:51:52 | oeisdata/seq/A362/A362223.seq | a03bbcfe7f1fe8bf9d6abb68fc2f5642 |
A362224 | a(n) is the number of n-celled one-sided rounded polyominoes | [
"1",
"2",
"6",
"34",
"177",
"1105",
"6992",
"46264",
"310126",
"2113012",
"14539215",
"100943151"
]
| [
"nonn",
"more"
]
| 6 | 1 | 2 | [
"A056840",
"A362223",
"A362224"
]
| null | John Mason, Apr 11 2023 | 2023-04-12T10:51:56 | oeisdata/seq/A362/A362224.seq | 803361cc1ea1f36b0dc09d325801f8d2 |
A362225 | Primes of the form (2*p^2 + 1)/3 where p is a prime > 3. | [
"17",
"113",
"193",
"241",
"353",
"641",
"1873",
"3361",
"5281",
"8513",
"10753",
"16433",
"17713",
"18593",
"21841",
"25873",
"34961",
"80273",
"92753",
"107201",
"111521",
"117041",
"134401",
"158113",
"168673",
"172721",
"182353",
"195121",
"211313",
"217361",
"221953",
"239201",
"279073",
"376001",
"394241"
]
| [
"nonn"
]
| 17 | 1 | 1 | [
"A175255",
"A175256",
"A362225"
]
| null | Alain Rocchelli, Apr 11 2023 | 2023-05-18T19:42:34 | oeisdata/seq/A362/A362225.seq | afb2dec2649683f843fb4db2dbe45cd2 |
A362226 | Triangular array read by rows. T(n,k) is the number of labeled digraphs on [n] with exactly k isolated strongly connected components, n>=0, 0<=k<=n. | [
"1",
"0",
"1",
"2",
"1",
"1",
"36",
"24",
"3",
"1",
"2240",
"1762",
"87",
"6",
"1",
"462720",
"577000",
"8630",
"215",
"10",
"1",
"332613632",
"737645836",
"3455820",
"26085",
"435",
"15",
"1",
"867410804736",
"3525456796232",
"5166693532",
"12154030",
"61775",
"777",
"21",
"1",
"8503156728135680",
"63526200994115056",
"28215577119548",
"20705805988",
"32624585",
"125776",
"1274",
"28",
"1"
]
| [
"nonn",
"tabl"
]
| 11 | 0 | 4 | [
"A003030",
"A053763",
"A217580",
"A361579",
"A362226"
]
| null | Geoffrey Critzer, Apr 11 2023 | 2023-04-12T11:31:53 | oeisdata/seq/A362/A362226.seq | faffaafa131eb4b43607e4d64ebfd105 |
A362227 | a(n) = Product_{k=1..w(n)} p(k)^(S(n,k)-1), where set S(n,k) = row n of A272011 and w(n) = A000120(n) is the binary weight of n. | [
"1",
"2",
"4",
"12",
"8",
"24",
"72",
"360",
"16",
"48",
"144",
"720",
"432",
"2160",
"10800",
"75600",
"32",
"96",
"288",
"1440",
"864",
"4320",
"21600",
"151200",
"2592",
"12960",
"64800",
"453600",
"324000",
"2268000",
"15876000",
"174636000",
"64",
"192",
"576",
"2880",
"1728",
"8640",
"43200",
"302400",
"5184",
"25920",
"129600",
"907200",
"648000",
"4536000",
"31752000",
"349272000",
"15552"
]
| [
"nonn",
"easy"
]
| 30 | 0 | 2 | [
"A000120",
"A006939",
"A067255",
"A087980",
"A272011",
"A362227"
]
| null | Michael De Vlieger, Jun 08 2023 | 2023-06-11T12:29:09 | oeisdata/seq/A362/A362227.seq | 114199b450d8a2b232d13e6e048abbe8 |
A362228 | Triangle read by rows: row n is the shortest, then lexicographically earliest sequence of positive integers that takes n iterations of the run transform to reach 1. | [
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"2",
"2",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"1",
"2",
"2",
"1",
"1",
"2",
"2",
"1",
"1",
"2",
"1",
"2",
"2",
"1",
"2",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"2",
"2",
"1",
"2",
"2",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"2",
"2",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"2",
"2",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"2",
"2",
"1",
"2",
"1",
"1",
"2",
"2",
"1",
"2",
"2",
"1",
"1",
"2",
"1",
"1",
"2",
"1"
]
| [
"nonn",
"tabf"
]
| 53 | 0 | 2 | [
"A327662",
"A362228"
]
| null | Neal Gersh Tolunsky, Apr 11 2023 | 2025-04-27T03:22:46 | oeisdata/seq/A362/A362228.seq | dbd16ce3e37c5e5d0f47dc7b0f3eb5ed |
A362229 | a(n) is the largest m such that uphi(m) = n, where uphi is the unitary totient function (A047994), or a(n) = 0 if no such m exists. | [
"2",
"6",
"4",
"10",
"0",
"14",
"8",
"30",
"0",
"22",
"0",
"42",
"0",
"24",
"16",
"34",
"0",
"38",
"0",
"66",
"0",
"46",
"0",
"78",
"0",
"54",
"0",
"58",
"0",
"62",
"32",
"102",
"0",
"0",
"0",
"114",
"0",
"0",
"0",
"110",
"0",
"86",
"0",
"138",
"0",
"94",
"0",
"210",
"0",
"0",
"0",
"106",
"0",
"76",
"0",
"174",
"0",
"118",
"0",
"186",
"0",
"96",
"64",
"170",
"0",
"134",
"0",
"0",
"0",
"142",
"0",
"222"
]
| [
"nonn"
]
| 12 | 1 | 1 | [
"A047994",
"A057635",
"A347771",
"A361966",
"A362229",
"A362230",
"A362231"
]
| null | Amiram Eldar, Apr 12 2023 | 2023-04-13T02:35:48 | oeisdata/seq/A362/A362229.seq | 2d6182c50269f73a0840e38e68a283c3 |
A362230 | Unitary sparsely totient numbers: numbers k such that m > k implies uphi(m) > uphi(k), where uphi is the unitary totient function (A047994). | [
"2",
"6",
"10",
"14",
"30",
"42",
"66",
"78",
"102",
"114",
"138",
"210",
"222",
"330",
"390",
"462",
"510",
"570",
"690",
"714",
"798",
"870",
"930",
"966",
"1110",
"1230",
"1290",
"1302",
"1410",
"1470",
"1590",
"1770",
"2310",
"2730",
"3570",
"3990",
"4290",
"4830",
"5610",
"6090",
"6510",
"6630",
"7770",
"8610",
"9030",
"9870",
"10230",
"11130",
"11310"
]
| [
"nonn"
]
| 9 | 1 | 1 | [
"A036913",
"A047994",
"A361966",
"A362229",
"A362230",
"A362231"
]
| null | Amiram Eldar, Apr 12 2023 | 2023-04-13T02:35:45 | oeisdata/seq/A362/A362230.seq | 8f15760da4c5ecc8ed42c1459512a38c |
A362231 | a(n) = A047994(A362230(n)). | [
"1",
"2",
"4",
"6",
"8",
"12",
"20",
"24",
"32",
"36",
"44",
"48",
"72",
"80",
"96",
"120",
"128",
"144",
"176",
"192",
"216",
"224",
"240",
"264",
"288",
"320",
"336",
"360",
"368",
"384",
"416",
"464",
"480",
"576",
"768",
"864",
"960",
"1056",
"1280",
"1344",
"1440",
"1536",
"1728",
"1920",
"2016",
"2208",
"2400",
"2496",
"2688",
"2784",
"2880",
"3168",
"3360"
]
| [
"nonn"
]
| 8 | 1 | 2 | [
"A036912",
"A047994",
"A361966",
"A362229",
"A362230",
"A362231"
]
| null | Amiram Eldar, Apr 12 2023 | 2023-04-13T02:35:42 | oeisdata/seq/A362/A362231.seq | c1ea90ebaa1138a7b2b8f72f2edf130e |
A362232 | a(1) = 1; for n > 1, a(n) is number of terms in the first n-1 terms of the sequence that are not proper divisors of a(n-1). | [
"1",
"1",
"2",
"1",
"4",
"1",
"6",
"2",
"4",
"3",
"6",
"4",
"6",
"6",
"7",
"11",
"12",
"3",
"14",
"12",
"5",
"17",
"18",
"11",
"20",
"15",
"19",
"23",
"24",
"12",
"15",
"24",
"14",
"26",
"28",
"23",
"32",
"28",
"26",
"33",
"32",
"32",
"33",
"35",
"38",
"38",
"39",
"41",
"44",
"38",
"43",
"47",
"48",
"33",
"46",
"47",
"52",
"46",
"50",
"52",
"49",
"56",
"48",
"43",
"60",
"43",
"62",
"61",
"64",
"57",
"63",
"64",
"60",
"51",
"67",
"71",
"72",
"56",
"64"
]
| [
"nonn"
]
| 18 | 1 | 3 | [
"A027751",
"A032741",
"A032742",
"A152271",
"A362232"
]
| null | Scott R. Shannon, Apr 12 2023 | 2023-05-10T22:40:48 | oeisdata/seq/A362/A362232.seq | b3e543346408b3f001426d1ff04e779f |
A362233 | Number of vertices among all distinct circles that can be constructed from a point on the origin and n equally spaced points on each of the +x,-x,+y,-y coordinates axes when each pair of points is connected by a circle and where the points lie at the ends of the circles' diameter. | [
"17",
"249",
"1381",
"4745",
"12581",
"26861",
"51649",
"89357",
"145501",
"225621",
"335497"
]
| [
"nonn",
"more"
]
| 11 | 1 | 1 | [
"A139275",
"A354605",
"A359932",
"A362233",
"A362234",
"A362235",
"A362236"
]
| null | Scott R. Shannon, Apr 12 2023 | 2023-04-14T07:32:21 | oeisdata/seq/A362/A362233.seq | e875d9a02da84bd2d3fd720bcd36a89e |
A362234 | Number of regions among all distinct circles that can be constructed from a point on the origin and n equally spaced points on each of the +x,-x,+y,-y coordinates axes when each pair of points is connected by a circle and where the points lie at the ends of the circles' diameter. | [
"32",
"372",
"1804",
"5772",
"14660",
"30816",
"58232",
"100080",
"161700",
"249200",
"368384"
]
| [
"nonn",
"more"
]
| 7 | 1 | 1 | [
"A139275",
"A353782",
"A359933",
"A362233",
"A362234",
"A362235",
"A362236"
]
| null | Scott R. Shannon, Apr 13 2023 | 2023-04-14T07:32:31 | oeisdata/seq/A362/A362234.seq | e415def2892a5939cfa9a16600834684 |
A362235 | Number of edges among all distinct circles that can be constructed from a point on the origin and n equally spaced points on each of the +x,-x,+y,-y coordinates axes when each pair of points is connected by a circle and where the points lie at the ends of the circles' diameter. | [
"48",
"620",
"3184",
"10516",
"27240",
"57676",
"109880",
"189436",
"307200",
"474820",
"703880"
]
| [
"nonn",
"more"
]
| 6 | 1 | 1 | [
"A139275",
"A356358",
"A359934",
"A362233",
"A362234",
"A362235",
"A362236"
]
| null | Scott R. Shannon, Apr 13 2023 | 2023-04-14T07:32:50 | oeisdata/seq/A362/A362235.seq | d333a850c4d9b59fd52299ecc75d989e |
A362236 | Irregular table read by rows: T(n,k) is the number of k-gons, k>=2, among all distinct circles that can be constructed from a point on the origin and n equally spaced points on each of the +x,-x,+y,-y coordinates axes when each pair of points is connected by a circle and where the points lie at the ends of the circles' diameter. | [
"12",
"12",
"8",
"32",
"204",
"120",
"16",
"56",
"928",
"652",
"156",
"4",
"8",
"72",
"2724",
"2332",
"504",
"120",
"16",
"4",
"96",
"6416",
"6120",
"1648",
"352",
"20",
"8",
"128",
"13356",
"12444",
"4156",
"668",
"52",
"12",
"208",
"24348",
"23892",
"8148",
"1488",
"124",
"24",
"248",
"41268",
"41528",
"14108",
"2616",
"276",
"36",
"336",
"65684",
"67272",
"23372",
"4592",
"388",
"52",
"0",
"4"
]
| [
"nonn",
"tabf"
]
| 11 | 1 | 1 | [
"A139275",
"A359935",
"A361623",
"A362233",
"A362234",
"A362235",
"A362236"
]
| null | Scott R. Shannon, Apr 13 2023 | 2024-01-04T14:29:12 | oeisdata/seq/A362/A362236.seq | f0264bbc4cd656ec2cef0c796de98a88 |
A362237 | Expansion of e.g.f.: 1/(1 - x/(1-x)^x). | [
"1",
"1",
"2",
"12",
"84",
"700",
"7140",
"84798",
"1148448",
"17508384",
"296577360",
"5525645400",
"112311096480",
"2473005981576",
"58642262698656",
"1489908226161600",
"40377279733096320",
"1162635170476462080",
"35446505436393782400",
"1140734265246337985856",
"38643098112640927503360"
]
| [
"nonn"
]
| 9 | 0 | 3 | [
"A347726",
"A362237",
"A362238"
]
| null | Seiichi Manyama, Apr 12 2023 | 2023-04-12T08:05:07 | oeisdata/seq/A362/A362237.seq | 20d360796df6f7bf010760f511621e1a |
A362238 | Expansion of e.g.f.: 1/(1 - x*(1+x)^x). | [
"1",
"1",
"2",
"12",
"60",
"460",
"3900",
"39438",
"456288",
"5896224",
"85230000",
"1349017560",
"23353941600",
"437432418696",
"8828284404576",
"190867622500800",
"4401749312069760",
"107859517575659520",
"2798352667710645120",
"76636669899079699776",
"2209235394261812751360"
]
| [
"nonn"
]
| 9 | 0 | 3 | [
"A002478",
"A099234",
"A099235",
"A202152",
"A362237",
"A362238"
]
| null | Seiichi Manyama, Apr 12 2023 | 2023-04-12T08:04:59 | oeisdata/seq/A362/A362238.seq | baaa32847830c6c73c4cebc99362de8e |
A362239 | Primes such that all composite numbers up to the next prime have the same number of distinct prime divisors. | [
"2",
"3",
"5",
"11",
"17",
"19",
"29",
"37",
"41",
"43",
"53",
"59",
"71",
"97",
"101",
"107",
"137",
"149",
"157",
"179",
"191",
"197",
"223",
"227",
"239",
"269",
"281",
"311",
"347",
"419",
"431",
"461",
"499",
"521",
"569",
"599",
"617",
"641",
"643",
"659",
"673",
"739",
"809",
"821",
"827",
"857",
"881",
"1019",
"1031",
"1049",
"1061",
"1091",
"1151"
]
| [
"nonn"
]
| 21 | 1 | 1 | [
"A001221",
"A001359",
"A362239"
]
| null | Mike Jones, Apr 12 2023 | 2023-05-18T23:26:38 | oeisdata/seq/A362/A362239.seq | 095c2e63f33c305b2fb2c957a96aac79 |
A362240 | Triangle read by rows: Row n is the shortest, then lexicographically earliest sequence of 0s and 1s not yet in the sequence. | [
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"1",
"1",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"1",
"1",
"1",
"0",
"1",
"1",
"1",
"0",
"1",
"1",
"1",
"1",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"1",
"1",
"1",
"0",
"1",
"0",
"0",
"0",
"1"
]
| [
"nonn",
"tabf"
]
| 38 | 1 | null | [
"A076478",
"A118247",
"A362009",
"A362240",
"A362241"
]
| null | Samuel Harkness, Apr 12 2023 | 2024-03-31T17:11:22 | oeisdata/seq/A362/A362240.seq | 15e27d7daaf73bc9278b1e238c5363e1 |
A362241 | Binary encoding of the rows of A362240. | [
"0",
"1",
"0",
"3",
"0",
"5",
"7",
"0",
"10",
"13",
"0",
"3",
"4",
"7",
"14",
"31",
"4",
"9",
"13",
"15",
"17",
"20",
"27",
"28",
"37",
"44",
"51",
"53",
"63",
"2",
"15",
"17",
"20",
"28",
"31",
"41",
"44",
"46",
"48",
"53",
"58",
"71",
"78",
"99",
"101",
"123",
"2",
"5",
"7",
"11",
"17",
"19",
"24",
"35",
"39",
"41",
"55",
"58",
"63",
"72",
"83",
"85",
"89",
"97",
"107",
"111",
"113",
"134"
]
| [
"nonn",
"base"
]
| 27 | 1 | 4 | [
"A053645",
"A118248",
"A362009",
"A362240",
"A362241"
]
| null | Samuel Harkness, Apr 12 2023 | 2023-05-08T02:28:26 | oeisdata/seq/A362/A362241.seq | 1951ff638bafcd60e8030580ff7f29de |
A362242 | Triangle read by rows: T(n,k) is the number of lattice paths from (0,0) to (k,n-k) using steps (i,j) with i,j>=0 and gcd(i,j)=1. | [
"1",
"1",
"1",
"1",
"3",
"1",
"1",
"6",
"6",
"1",
"1",
"10",
"17",
"10",
"1",
"1",
"15",
"39",
"39",
"15",
"1",
"1",
"21",
"76",
"111",
"76",
"21",
"1",
"1",
"28",
"135",
"266",
"266",
"135",
"28",
"1",
"1",
"36",
"222",
"566",
"757",
"566",
"222",
"36",
"1",
"1",
"45",
"346",
"1100",
"1876",
"1876",
"1100",
"346",
"45",
"1",
"1",
"55",
"515",
"1997",
"4197",
"5321",
"4197",
"1997",
"515",
"55",
"1"
]
| [
"nonn",
"tabl"
]
| 31 | 0 | 5 | [
"A000012",
"A000217",
"A059576",
"A362242",
"A368639",
"A368672"
]
| null | Keith S. Reid, Apr 12 2023 | 2025-03-16T09:27:06 | oeisdata/seq/A362/A362242.seq | de2b0eef881e4d5f2db80b884f540d34 |
A362243 | a(n) = number of isomorphism classes of elliptic curves over the finite field of order prime(n). | [
"5",
"8",
"12",
"18",
"22",
"32",
"36",
"42",
"46",
"60",
"66",
"80",
"84",
"90",
"94",
"108",
"118",
"128",
"138",
"142",
"152",
"162",
"166",
"180",
"200",
"204",
"210",
"214",
"224",
"228",
"258",
"262",
"276",
"282",
"300",
"306",
"320",
"330",
"334",
"348",
"358",
"368",
"382",
"392",
"396",
"402",
"426",
"450",
"454",
"464",
"468",
"478",
"488",
"502",
"516",
"526",
"540",
"546",
"560",
"564",
"570"
]
| [
"nonn"
]
| 13 | 1 | 1 | null | null | Robin Visser, Apr 12 2023 | 2023-08-28T15:50:43 | oeisdata/seq/A362/A362243.seq | 283feebedd3610da8e3478bb1b79a4a6 |
A362244 | Expansion of e.g.f. 1/(1 - x * exp(-x * (exp(-x) - 1))). | [
"1",
"1",
"2",
"12",
"60",
"440",
"3810",
"37212",
"430696",
"5482080",
"78252390",
"1227201140",
"20955546348",
"388492703040",
"7745445183658",
"165550236166980",
"3773990094033360",
"91401848785134272",
"2344168680183033678",
"63455096201600595060",
"1808160553359068792020"
]
| [
"nonn"
]
| 11 | 0 | 3 | [
"A362237",
"A362244",
"A362245",
"A362246",
"A362247"
]
| null | Seiichi Manyama, Apr 12 2023 | 2024-12-27T16:13:32 | oeisdata/seq/A362/A362244.seq | a348db38a0f8978cd6470e75d76468ac |
A362245 | Expansion of e.g.f. 1/(1 - x * exp(x * (exp(x) - 1))). | [
"1",
"1",
"2",
"12",
"84",
"680",
"6750",
"78372",
"1035608",
"15402816",
"254672730",
"4631221100",
"91872810612",
"1974481960464",
"45698618329910",
"1133221107064620",
"29974735063385520",
"842413032202481792",
"25067919890384214066",
"787394937539847359052",
"26034146454319615550540"
]
| [
"nonn"
]
| 10 | 0 | 3 | [
"A362238",
"A362244",
"A362245",
"A362246",
"A362247"
]
| null | Seiichi Manyama, Apr 12 2023 | 2023-04-13T08:29:43 | oeisdata/seq/A362/A362245.seq | 7f654918e856575dd878ffda7ef22562 |
A362246 | Expansion of e.g.f. exp(x * exp(-x * (exp(-x) - 1))). | [
"1",
"1",
"1",
"7",
"13",
"81",
"391",
"1093",
"18537",
"577",
"1013131",
"-54339",
"39429853",
"424162753",
"-4130181873",
"137131757701",
"-1733851435439",
"29708533549953",
"-337960798083053",
"3890007865959661",
"-11844138798049659",
"-662440203084569279",
"30135319297423429783"
]
| [
"sign"
]
| 9 | 0 | 4 | [
"A347726",
"A362244",
"A362245",
"A362246",
"A362247"
]
| null | Seiichi Manyama, Apr 12 2023 | 2023-04-13T08:29:52 | oeisdata/seq/A362/A362246.seq | be6ceef025925f415acd087ff9d0d558 |
A362247 | Expansion of e.g.f. exp(x * exp(x * (exp(x) - 1))). | [
"1",
"1",
"1",
"7",
"37",
"201",
"1531",
"12433",
"112729",
"1158769",
"12920311",
"157007841",
"2063354437",
"29052921769",
"436908104179",
"6981843029281",
"118083965782321",
"2106973566128865",
"39538081855597807",
"778216030845226561",
"16027517577057849181",
"344635879922587951321"
]
| [
"nonn"
]
| 10 | 0 | 4 | [
"A000258",
"A202152",
"A362244",
"A362245",
"A362246",
"A362247"
]
| null | Seiichi Manyama, Apr 12 2023 | 2023-04-13T08:29:47 | oeisdata/seq/A362/A362247.seq | 8c81549914f4df5889a68a4cc1421c9c |
A362248 | a(n) is the number of locations 1..n-1 which can reach i=n-1, where jumps from location i to i +- a(i) are permitted (within 1..n-1); a(1)=1. See example. | [
"1",
"1",
"2",
"3",
"1",
"5",
"6",
"7",
"1",
"1",
"2",
"11",
"1",
"13",
"14",
"15",
"1",
"1",
"2",
"3",
"1",
"5",
"6",
"23",
"1",
"1",
"2",
"27",
"1",
"29",
"30",
"31",
"1",
"1",
"2",
"3",
"1",
"5",
"6",
"7",
"1",
"1",
"2",
"11",
"1",
"13",
"14",
"47",
"1",
"1",
"2",
"3",
"1",
"5",
"6",
"55",
"1",
"1",
"2",
"59",
"1",
"61",
"62",
"63",
"1",
"1",
"2",
"3",
"1",
"5",
"6",
"7",
"1",
"1",
"2",
"11",
"1",
"13",
"14",
"15"
]
| [
"nonn"
]
| 70 | 1 | 3 | [
"A023758",
"A047619",
"A089633",
"A100892",
"A360745",
"A360746",
"A362248"
]
| null | Neal Gersh Tolunsky, May 12 2023 | 2024-12-19T11:45:36 | oeisdata/seq/A362/A362248.seq | 69dd63aeeaf6ecc5fb38f76d7c5cede5 |
A362249 | Point number on a 4-arm square spiral of point n on the East arm scaled up by steps of that point itself. | [
"1",
"4",
"19",
"16",
"13",
"64",
"149",
"58",
"81",
"70",
"139",
"324",
"583",
"268",
"217",
"256",
"233",
"244",
"569",
"1024",
"1609",
"916",
"421",
"566",
"625",
"586",
"461",
"884",
"1591",
"2500",
"3611",
"2324",
"1323",
"1000",
"1213",
"1296",
"1237",
"1048",
"1269",
"2284",
"3589",
"5184",
"7069",
"4924",
"3169",
"1804",
"1997",
"2290",
"2401",
"2318",
"2053",
"1724",
"3103",
"4876"
]
| [
"nonn"
]
| 73 | 1 | 2 | [
"A000290",
"A001844",
"A002061",
"A340944",
"A340945",
"A362249",
"A362363"
]
| null | Tamas Sandor Nagy and Thomas Scheuerle, Apr 13 2023 | 2023-05-28T08:46:07 | oeisdata/seq/A362/A362249.seq | a2470ff008423c3196b22b21a1e28cc2 |
A362250 | Primes dividing terms of A231831. | [
"3",
"5",
"7",
"11",
"19",
"23",
"89",
"101",
"137",
"157",
"211",
"373",
"659",
"877",
"881",
"1399",
"1597",
"1627",
"1663",
"1811",
"2029",
"2069",
"2087",
"2153",
"2381",
"2677",
"2939",
"3433",
"3491",
"3511",
"3617",
"3673",
"4111",
"4127",
"4547",
"4721",
"5059",
"5483",
"6529",
"6793",
"6827",
"7757",
"8209",
"8297",
"8677",
"9203",
"9463",
"9811",
"10139",
"10159",
"11321"
]
| [
"nonn"
]
| 9 | 1 | 1 | [
"A000058",
"A007996",
"A180871",
"A231830",
"A231831",
"A362250",
"A362251",
"A362252",
"A362253"
]
| null | Max Alekseyev, Apr 13 2023 | 2023-04-16T08:39:54 | oeisdata/seq/A362/A362250.seq | beff9d1f2f4b16e91cb4496ec04f1092 |
A362251 | a(n) is the unique index such that prime A362250(n) divides A231831(a(n)). | [
"1",
"2",
"2",
"3",
"3",
"4",
"9",
"4",
"4",
"8",
"3",
"31",
"12",
"7",
"7",
"9",
"44",
"8",
"22",
"29",
"36",
"37",
"8",
"21",
"5",
"26",
"4",
"20",
"24",
"12",
"76",
"30",
"5",
"47",
"5",
"13",
"9",
"25",
"6",
"41",
"51",
"9",
"53",
"6",
"27",
"39",
"5",
"12",
"78",
"64",
"10",
"185",
"113",
"205",
"91",
"85",
"43",
"195",
"32",
"117",
"20",
"133",
"142",
"119",
"64",
"70",
"199",
"41",
"125",
"79",
"243",
"70",
"35",
"105",
"67",
"156"
]
| [
"nonn"
]
| 6 | 1 | 2 | [
"A000058",
"A007996",
"A180871",
"A231830",
"A231831",
"A362250",
"A362251",
"A362252",
"A362253"
]
| null | Max Alekseyev, Apr 13 2023 | 2023-04-16T08:40:00 | oeisdata/seq/A362/A362251.seq | c3e1938b27c5862d882f4da728e1bfd0 |
A362252 | Primes dividing terms of A231830. | [
"5",
"53",
"89",
"101",
"373",
"877",
"1109",
"1181",
"1597",
"1613",
"2029",
"2069",
"2153",
"2213",
"2381",
"2741",
"3617",
"4273",
"6529",
"6737",
"7417",
"7717",
"11321",
"12653",
"13009",
"13309",
"16829",
"17729",
"23581",
"23993",
"25373",
"32569",
"33353",
"33857",
"34841",
"35053",
"36097",
"37201",
"38609",
"41513",
"42461",
"48661",
"55829",
"58369",
"59093",
"63281"
]
| [
"nonn"
]
| 6 | 1 | 1 | [
"A000058",
"A007996",
"A180871",
"A231830",
"A231831",
"A362250",
"A362251",
"A362252",
"A362253"
]
| null | Max Alekseyev, Apr 21 2023 | 2023-04-22T10:28:31 | oeisdata/seq/A362/A362252.seq | 6c7e2338567dcaee4963ba5ed0d7d7b4 |
A362253 | a(n) is the unique index such that prime A362252(n) divides A231830(a(n)). | [
"1",
"4",
"7",
"2",
"19",
"25",
"30",
"38",
"45",
"4",
"26",
"33",
"27",
"46",
"10",
"59",
"102",
"38",
"84",
"37",
"22",
"77",
"80",
"37",
"240",
"57",
"45",
"240",
"173",
"38",
"41",
"100",
"88",
"44",
"114",
"39",
"63",
"24",
"14",
"121",
"177",
"12",
"155",
"270",
"65",
"109",
"44",
"391",
"54",
"22",
"96",
"320",
"194",
"347",
"182",
"226",
"143",
"290",
"105",
"135",
"29",
"198",
"113",
"302",
"572",
"53",
"692",
"168",
"366"
]
| [
"nonn"
]
| 9 | 1 | 2 | [
"A000058",
"A007996",
"A180871",
"A231830",
"A231831",
"A362250",
"A362251",
"A362252",
"A362253"
]
| null | Max Alekseyev, Apr 21 2023 | 2023-04-22T10:28:08 | oeisdata/seq/A362/A362253.seq | eeb3435b79a3245714a69a1d83ecfdf4 |
A362254 | Reciprocal of n modulo largest prime smaller than n. | [
"1",
"1",
"2",
"1",
"3",
"1",
"4",
"5",
"2",
"1",
"6",
"1",
"7",
"9",
"10",
"1",
"9",
"1",
"10",
"13",
"5",
"1",
"12",
"8",
"6",
"14",
"4",
"1",
"15",
"1",
"16",
"21",
"8",
"25",
"26",
"1",
"19",
"25",
"28",
"1",
"21",
"1",
"22",
"29",
"11",
"1",
"24",
"16",
"12",
"19",
"8",
"1",
"27",
"18",
"40",
"32",
"9",
"1",
"30",
"1",
"31",
"41",
"46",
"49",
"51",
"1",
"34",
"45",
"17",
"1",
"36",
"1",
"37",
"49"
]
| [
"nonn",
"look"
]
| 14 | 3 | 3 | [
"A008864",
"A122585",
"A151799",
"A362254"
]
| null | Alois P. Heinz, Apr 13 2023 | 2023-05-17T16:38:17 | oeisdata/seq/A362/A362254.seq | 2525051f83cc7705e7899d372c4f6742 |
A362255 | a(0) = a(1) = a(2) = 1, for n > 2, a(n) = a(n-1) + a(n-k) + k with k = 2. | [
"1",
"1",
"1",
"4",
"7",
"10",
"16",
"25",
"37",
"55",
"82",
"121",
"178",
"262",
"385",
"565",
"829",
"1216",
"1783",
"2614",
"3832",
"5617",
"8233",
"12067",
"17686",
"25921",
"37990",
"55678",
"81601",
"119593",
"175273",
"256876",
"376471",
"551746",
"808624",
"1185097",
"1736845",
"2545471",
"3730570",
"5467417",
"8012890",
"11743462",
"17210881"
]
| [
"nonn",
"easy"
]
| 7 | 0 | 4 | [
"A001595",
"A111314",
"A362255",
"A362256"
]
| null | Michael De Vlieger, Apr 13 2023 | 2023-04-19T02:47:14 | oeisdata/seq/A362/A362255.seq | 4c82e0be3a7e182e41cca23c0b4a0e3d |
A362256 | a(0) = a(1) = a(2) = 1, for n > 2, a(n) = a(n-1) + a(n-k) + k with k = 3. | [
"1",
"1",
"1",
"5",
"9",
"13",
"17",
"25",
"37",
"53",
"73",
"101",
"141",
"197",
"273",
"377",
"521",
"721",
"997",
"1377",
"1901",
"2625",
"3625",
"5005",
"6909",
"9537",
"13165",
"18173",
"25085",
"34625",
"47793",
"65969",
"91057",
"125685",
"173481",
"239453",
"330513",
"456201",
"629685",
"869141",
"1199657",
"1655861",
"2285549",
"3154693"
]
| [
"nonn",
"easy"
]
| 6 | 0 | 4 | [
"A001595",
"A111314",
"A362255",
"A362256"
]
| null | Michael De Vlieger, Apr 13 2023 | 2023-04-19T02:47:46 | oeisdata/seq/A362/A362256.seq | c73e66a3d96386e27fa6eb6424fdb8c6 |
A362257 | a(n) = 2*Q(n) - n, where Q(n) is Hofstadter's Q-sequence A005185. | [
"1",
"0",
"1",
"2",
"1",
"2",
"3",
"2",
"3",
"2",
"1",
"4",
"3",
"2",
"5",
"2",
"3",
"4",
"3",
"4",
"3",
"2",
"1",
"8",
"3",
"2",
"5",
"4",
"3",
"2",
"9",
"2",
"1",
"6",
"7",
"2",
"3",
"6",
"3",
"4",
"5",
"4",
"5",
"4",
"3",
"2",
"1",
"16",
"-1",
"0",
"9",
"4",
"-1",
"6",
"5",
"0",
"7",
"2",
"5",
"4",
"3",
"2",
"17",
"2",
"-3",
"10",
"3",
"-2",
"9",
"10",
"3",
"4",
"7",
"4",
"5",
"2",
"7",
"2",
"3",
"6",
"7",
"4",
"3",
"8"
]
| [
"sign"
]
| 18 | 1 | 4 | [
"A005185",
"A239913",
"A362257"
]
| null | Nathan Fox and Alexis Ducote, Apr 13 2023 | 2023-04-14T02:09:28 | oeisdata/seq/A362/A362257.seq | 8b883958894f0b0bb67cd4b8390b8fe4 |
A362258 | Triangle read by rows: T(n,k) is the maximum number of ways in which a set of integer-sided squares can tile an n X k rectangle, up to rotations and reflections, 0 <= k <= n. | [
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"4",
"1",
"1",
"2",
"4",
"13",
"20",
"1",
"1",
"4",
"8",
"33",
"125",
"277",
"1",
"1",
"6",
"12",
"72",
"403",
"2505",
"7855",
"1",
"1",
"9",
"22",
"204",
"1438",
"12069",
"101587",
"487662"
]
| [
"nonn",
"tabl",
"more"
]
| 10 | 0 | 13 | [
"A000012",
"A227690",
"A361221",
"A362142",
"A362258",
"A362259",
"A362260",
"A362261",
"A362262",
"A362263"
]
| null | Pontus von Brömssen, Apr 15 2023 | 2023-04-16T08:37:54 | oeisdata/seq/A362/A362258.seq | 21c6132f5137b53710e24612faab2842 |
A362259 | Maximum number of ways in which a set of integer-sided squares can tile an n X n square, up to rotations and reflections. | [
"1",
"1",
"1",
"1",
"4",
"20",
"277",
"7855",
"487662"
]
| [
"nonn",
"more"
]
| 5 | 0 | 5 | [
"A224239",
"A236679",
"A361222",
"A362143",
"A362258",
"A362259"
]
| null | Pontus von Brömssen, Apr 15 2023 | 2023-04-16T08:38:16 | oeisdata/seq/A362/A362259.seq | 3954405b9e14fb217794f809648aaa1e |
A362260 | Maximum over 0 <= k <= n/2 of the number of permutations of two symbols occurring k and n-2*k times, respectively, where a permutation and its reversal are counted only once. | [
"1",
"1",
"1",
"1",
"2",
"2",
"4",
"6",
"9",
"12",
"19",
"28",
"44",
"66",
"110",
"170",
"255",
"396",
"651",
"1001",
"1519",
"2520",
"4032",
"6216",
"9752",
"15912",
"25236",
"38760",
"63090",
"101850",
"160050",
"248710",
"408760",
"653752",
"1021735",
"1634776",
"2656511",
"4218786",
"6562556",
"10737090",
"17299646",
"27313650",
"43249115"
]
| [
"nonn"
]
| 12 | 0 | 5 | [
"A001224",
"A073028",
"A102541",
"A361224",
"A362258",
"A362260"
]
| null | Pontus von Brömssen, Apr 15 2023 | 2023-10-26T09:54:41 | oeisdata/seq/A362/A362260.seq | 233105eccc61ad6e484a56756ccdd001 |
A362261 | Maximum number of ways in which a set of integer-sided squares can tile an n X 3 rectangle, up to rotations and reflections. | [
"1",
"1",
"1",
"1",
"2",
"4",
"8",
"12",
"22",
"40",
"73",
"146",
"292",
"560",
"1120",
"2532",
"5040",
"10080",
"22176",
"44352",
"88704",
"192272",
"384384",
"768768",
"1647360",
"3294720",
"6589440",
"14003120",
"28006240",
"56012480",
"126028080",
"266053680",
"532107360",
"1182438400",
"2483130720",
"4966261440",
"10925775168"
]
| [
"nonn"
]
| 5 | 0 | 5 | [
"A359019",
"A361225",
"A362144",
"A362258",
"A362261"
]
| null | Pontus von Brömssen, Apr 15 2023 | 2023-04-16T08:38:09 | oeisdata/seq/A362/A362261.seq | 694a2826726169039601c44a562def2d |
A362262 | Maximum number of ways in which a set of integer-sided squares can tile an n X 4 rectangle, up to rotations and reflections. | [
"1",
"1",
"2",
"2",
"4",
"13",
"33",
"72",
"204",
"476",
"1348",
"3454",
"9511",
"25088",
"68579",
"186048",
"503538",
"1387536",
"3732666",
"10420102"
]
| [
"nonn",
"more"
]
| 5 | 0 | 3 | [
"A359020",
"A362145",
"A362258",
"A362262"
]
| null | Pontus von Brömssen, Apr 15 2023 | 2023-04-16T08:39:21 | oeisdata/seq/A362/A362262.seq | 9849b691d124e45bd47c0a1cb7180869 |
A362263 | Maximum number of ways in which a set of integer-sided squares can tile an n X 5 rectangle, up to rotations and reflections. | [
"1",
"1",
"2",
"4",
"13",
"20",
"125",
"403",
"1438",
"4718",
"17700",
"65811",
"266345",
"1036625",
"3817494",
"15399048"
]
| [
"nonn",
"more"
]
| 5 | 0 | 3 | [
"A359021",
"A362146",
"A362258",
"A362263"
]
| null | Pontus von Brömssen, Apr 15 2023 | 2023-04-16T08:37:59 | oeisdata/seq/A362/A362263.seq | fe685290723cd7da1e51785f1159b1d8 |
A362264 | Numbers > 9 with increasingly large digit average of their square, in base 10. | [
"10",
"11",
"12",
"13",
"17",
"63",
"83",
"313",
"94863",
"3162083",
"994927133"
]
| [
"nonn",
"base",
"more",
"hard"
]
| 17 | 0 | 1 | [
"A068809",
"A068947",
"A164841",
"A362264"
]
| null | M. F. Hasler, Apr 13 2023 | 2023-04-24T09:40:34 | oeisdata/seq/A362/A362264.seq | 362f19794703e5773bd9715aabb81940 |
A362265 | Indices m for which A362363(m) = 0, meaning the large spiral point in A362249 falls on the East base spiral. | [
"1",
"2",
"5",
"6",
"7",
"9",
"12",
"15",
"17",
"18",
"19",
"20",
"21",
"23",
"25",
"27",
"28",
"30",
"35",
"37",
"39",
"40",
"41",
"42",
"43",
"45",
"47",
"49",
"51",
"52",
"54",
"56",
"61",
"63",
"65",
"67",
"68",
"69",
"70",
"71",
"72",
"73",
"75",
"77",
"79",
"81",
"83",
"86",
"88",
"90",
"97",
"99",
"101",
"103",
"105",
"106",
"107",
"108",
"109",
"110",
"111",
"113",
"115",
"117",
"119",
"121",
"123",
"125",
"126",
"128",
"130"
]
| [
"nonn"
]
| 34 | 1 | 2 | [
"A000290",
"A001844",
"A002061",
"A362249",
"A362265"
]
| null | Tamas Sandor Nagy and Thomas Scheuerle, Apr 13 2023 | 2023-05-28T08:45:59 | oeisdata/seq/A362/A362265.seq | dc5d036b39853e58a2887b79b19aff5d |
A362266 | Triangle read by rows: T(n,k) = LCM({p_j-1 : j=1..n})/(p_k-1) for prime p. | [
"1",
"2",
"1",
"4",
"2",
"1",
"12",
"6",
"3",
"2",
"60",
"30",
"15",
"10",
"6",
"60",
"30",
"15",
"10",
"6",
"5",
"240",
"120",
"60",
"40",
"24",
"20",
"15",
"720",
"360",
"180",
"120",
"72",
"60",
"45",
"40",
"7920",
"3960",
"1980",
"1320",
"792",
"660",
"495",
"440",
"360",
"55440",
"27720",
"13860",
"9240",
"5544",
"4620",
"3465",
"3080",
"2520",
"1980"
]
| [
"nonn",
"tabl"
]
| 26 | 1 | 2 | [
"A006093",
"A058254",
"A362266"
]
| null | Michael De Vlieger, Jul 10 2023 | 2023-07-15T05:44:38 | oeisdata/seq/A362/A362266.seq | 6ef55ff16db13a24d4a61e2c4a1e2f4f |
A362267 | For n >= 0, a(n) is the least integer i >= 0 such that n + p_1 + ... + p_i = q, q prime number, or a(n) = -1 if no such i exists. Here p_1 is the least prime >= n, p_1 < p_2 < ... < p_i are prime numbers (A000040). | [
"1",
"1",
"0",
"0",
"15",
"0",
"1",
"0",
"1",
"12",
"13",
"0",
"3",
"0",
"1",
"4",
"29",
"1",
"1",
"0",
"1",
"2",
"25",
"0",
"1",
"4",
"7",
"8",
"13",
"0",
"1",
"0",
"7",
"6",
"1",
"2",
"1",
"0",
"1",
"4",
"21",
"0",
"7",
"0",
"5",
"10",
"19",
"0",
"1",
"6",
"1",
"2",
"85",
"0",
"1",
"4",
"17",
"6",
"5",
"0",
"11",
"0",
"15",
"4",
"1",
"20",
"3",
"0",
"1",
"14",
"3",
"0",
"3",
"0",
"5",
"22",
"17",
"2",
"1",
"0",
"1",
"6",
"11",
"0"
]
| [
"sign"
]
| 23 | 0 | 5 | [
"A000040",
"A007504",
"A161463",
"A362267"
]
| null | Ctibor O. Zizka, Jul 05 2023 | 2023-07-06T22:05:14 | oeisdata/seq/A362/A362267.seq | f36109dd200b415fd583879236bb7de2 |
A362268 | Numbers whose prime factors counted with multiplicity satisfy: (maximum) - (minimum) = (mean). | [
"20",
"60",
"180",
"189",
"400",
"540",
"1200",
"1372",
"1620",
"2541",
"2835",
"3185",
"3600",
"4860",
"5577",
"6860",
"8000",
"10800",
"14365",
"14580",
"16093",
"23465",
"24000",
"28812",
"32400",
"34300",
"34375",
"35721",
"40733",
"42525",
"43740",
"46529",
"72000",
"78793",
"97200",
"123101",
"131220",
"135401",
"139755",
"144060"
]
| [
"nonn"
]
| 7 | 1 | 1 | [
"A362047",
"A362268"
]
| null | Chai Wah Wu, Apr 13 2023 | 2023-04-14T02:11:37 | oeisdata/seq/A362/A362268.seq | 5d6188637942baa1e3b2235d61ea7a0c |
A362269 | a(1) = 1, then subtract, add, and multiply 2, 3, 4; 5, 6, 7; ... in that order. | [
"1",
"-1",
"2",
"8",
"3",
"9",
"63",
"55",
"64",
"640",
"629",
"641",
"8333",
"8319",
"8334",
"133344",
"133327",
"133345",
"2533555",
"2533535",
"2533556",
"55738232",
"55738209",
"55738233",
"1393455825",
"1393455799",
"1393455826",
"39016763128",
"39016763099",
"39016763129"
]
| [
"sign"
]
| 29 | 1 | 3 | [
"A077382",
"A077383",
"A362269",
"A362270",
"A362271",
"A362272"
]
| null | James C. McMahon, Apr 13 2023 | 2023-10-09T12:54:57 | oeisdata/seq/A362/A362269.seq | 175f4e4f7a425f1c0d7b7bc773e0879c |
A362270 | a(1) = 1, then subtract, multiply, and add 2, 3, 4; 5, 6, 7; ... in that order. | [
"1",
"-1",
"-3",
"1",
"-4",
"-24",
"-17",
"-25",
"-225",
"-215",
"-226",
"-2712",
"-2699",
"-2713",
"-40695",
"-40679",
"-40696",
"-732528",
"-732509",
"-732529",
"-15383109",
"-15383087",
"-15383110",
"-369194640",
"-369194615",
"-369194641",
"-9968255307",
"-9968255279",
"-9968255308",
"-299047659240",
"-299047659209",
"-299047659241",
"-9868572754953"
]
| [
"sign"
]
| 15 | 1 | 3 | [
"A077382",
"A077383",
"A362269",
"A362270",
"A362271",
"A362272"
]
| null | James C. McMahon, Apr 13 2023 | 2023-10-09T14:26:55 | oeisdata/seq/A362/A362270.seq | 5ca403706281e06359d3f8a905ce217c |
A362271 | a(1) = 1, then add, subtract and multiply 2, 3, 4; 5, 6, 7; ... in that order. | [
"1",
"3",
"0",
"0",
"5",
"-1",
"-7",
"1",
"-8",
"-80",
"-69",
"-81",
"-1053",
"-1039",
"-1054",
"-16864",
"-16847",
"-16865",
"-320435",
"-320415",
"-320436",
"-7049592",
"-7049569",
"-7049593",
"-176239825",
"-176239799",
"-176239826",
"-4934715128",
"-4934715099",
"-4934715129",
"-152976168999",
"-152976168967",
"-152976169000"
]
| [
"sign"
]
| 18 | 1 | 2 | [
"A077382",
"A077383",
"A362269",
"A362270",
"A362271",
"A362272"
]
| null | James C. McMahon, Apr 13 2023 | 2023-10-10T05:04:22 | oeisdata/seq/A362/A362271.seq | a2c638fe698763a2c84ac0f8017f375c |
A362272 | a(1) = 1, then multiply, subtract, and add 2, 3, 4; 5, 6, 7; ... in that order. | [
"1",
"2",
"-1",
"3",
"15",
"9",
"16",
"128",
"119",
"129",
"1419",
"1407",
"1420",
"19880",
"19865",
"19881",
"337977",
"337959",
"337978",
"6759560",
"6759539",
"6759561",
"155469903",
"155469879",
"155469904",
"4042217504",
"4042217477",
"4042217505",
"117224307645",
"117224307615",
"117224307646",
"3751177844672",
"3751177844639"
]
| [
"sign"
]
| 22 | 1 | 2 | [
"A077382",
"A077383",
"A362269",
"A362270",
"A362271",
"A362272"
]
| null | James C. McMahon, Apr 19 2023 | 2023-10-10T05:04:33 | oeisdata/seq/A362/A362272.seq | d288fa3f10aba9b0308c8615c292244e |
A362273 | Expansion of e.g.f. 1/(1 - x * exp(-x * exp(-x))). | [
"1",
"1",
"0",
"3",
"8",
"-15",
"264",
"-35",
"-1968",
"87633",
"-499600",
"2375901",
"48964200",
"-830424023",
"9884072184",
"-11730111315",
"-1407884197216",
"36601422429345",
"-416600839315872",
"191233500832189",
"136472124267672120",
"-3513232740127917639",
"46653752740647748520"
]
| [
"sign"
]
| 17 | 0 | 4 | [
"A000949",
"A362244",
"A362273",
"A362274",
"A362275"
]
| null | Seiichi Manyama, Apr 13 2023 | 2023-04-15T06:27:52 | oeisdata/seq/A362/A362273.seq | a827f26461c00fd05b86b66318d3ed36 |
A362274 | Expansion of e.g.f. 1/(1-x*exp(x*exp(x))). | [
"1",
"1",
"4",
"27",
"232",
"2465",
"31416",
"467173",
"7940080",
"151824177",
"3225664720",
"75386002901",
"1921987809336",
"53085088574713",
"1578989028324904",
"50320957240554645",
"1710595789688360416",
"61783832256587799137",
"2362794061464082513440",
"95380148553556615501717"
]
| [
"nonn"
]
| 13 | 0 | 3 | [
"A000949",
"A362245",
"A362273",
"A362274",
"A362275"
]
| null | Seiichi Manyama, Apr 13 2023 | 2023-04-15T06:27:58 | oeisdata/seq/A362/A362274.seq | 6f51c8f373b55fb5dd43221bf5b70b19 |
A362275 | Expansion of e.g.f. exp(x*exp(-x*exp(-x))). | [
"1",
"1",
"-1",
"4",
"-3",
"-44",
"595",
"-5214",
"36953",
"-176840",
"-498969",
"31239550",
"-605916971",
"9001842708",
"-110410388101",
"998140500826",
"-1114748107215",
"-247879285927184",
"8410011463871695",
"-201620611378992906",
"4024515940445770541",
"-66832538504513547380"
]
| [
"sign"
]
| 11 | 0 | 4 | [
"A000949",
"A362247",
"A362273",
"A362274",
"A362275"
]
| null | Seiichi Manyama, Apr 13 2023 | 2023-04-16T01:33:20 | oeisdata/seq/A362/A362275.seq | 6367f42cbe7536f87da130abe62bb956 |
A362276 | a(n) = n! * Sum_{k=0..floor(n/2)} (-n/2)^k * binomial(n-k,k)/(n-k)!. | [
"1",
"1",
"-1",
"-8",
"25",
"326",
"-1709",
"-31016",
"228257",
"5311900",
"-50337449",
"-1429574464",
"16573668409",
"555724876552",
"-7619288730325",
"-294582728145824",
"4662562423032961",
"204200579987319824",
"-3664348770051277073",
"-179294278761195862400",
"3597007651803106610201"
]
| [
"sign"
]
| 17 | 0 | 4 | [
"A277614",
"A362276",
"A362277"
]
| null | Seiichi Manyama, Apr 13 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362276.seq | af63c1bdc82e4e91e9d3687b7a4ac873 |
A362277 | Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/2)} (-k/2)^j * binomial(n-j,j)/(n-j)!. | [
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"0",
"1",
"1",
"1",
"-1",
"-2",
"1",
"1",
"1",
"-2",
"-5",
"-2",
"1",
"1",
"1",
"-3",
"-8",
"1",
"6",
"1",
"1",
"1",
"-4",
"-11",
"10",
"41",
"16",
"1",
"1",
"1",
"-5",
"-14",
"25",
"106",
"31",
"-20",
"1",
"1",
"1",
"-6",
"-17",
"46",
"201",
"-44",
"-461",
"-132",
"1",
"1",
"1",
"-7",
"-20",
"73",
"326",
"-299",
"-1952",
"-895",
"28",
"1",
"1",
"1",
"-8",
"-23",
"106",
"481",
"-824",
"-5123",
"-1028",
"6481",
"1216",
"1"
]
| [
"sign",
"tabl"
]
| 26 | 0 | 14 | [
"A000012",
"A001464",
"A293604",
"A359762",
"A362176",
"A362177",
"A362276",
"A362277",
"A362278",
"A362279",
"A362282",
"A362302"
]
| null | Seiichi Manyama, Apr 13 2023 | 2023-04-16T09:49:00 | oeisdata/seq/A362/A362277.seq | fcc80dfdeefca4e1090e855554b9d6b1 |
A362278 | Expansion of e.g.f. exp(x - 3*x^2/2). | [
"1",
"1",
"-2",
"-8",
"10",
"106",
"-44",
"-1952",
"-1028",
"45820",
"73576",
"-1301024",
"-3729032",
"43107832",
"188540080",
"-1621988864",
"-10106292464",
"67749173008",
"583170088672",
"-3075285253760",
"-36315980308064",
"148201134917536",
"2436107894325568",
"-7345167010231808"
]
| [
"sign",
"easy"
]
| 20 | 0 | 3 | [
"A115327",
"A362277",
"A362278"
]
| null | Seiichi Manyama, Apr 13 2023 | 2023-04-18T16:42:36 | oeisdata/seq/A362/A362278.seq | d4a597112ab37c8c6ef4a019595cc906 |
A362279 | Expansion of e.g.f. exp(x - 5*x^2/2). | [
"1",
"1",
"-4",
"-14",
"46",
"326",
"-824",
"-10604",
"18236",
"442396",
"-378224",
"-22498024",
"-1695704",
"1348185736",
"1458406496",
"-92914595024",
"-202295082224",
"7230872519696",
"24425954508736",
"-626352572263904",
"-2946818250593824",
"59688438975796576",
"369104355288148096"
]
| [
"sign",
"easy"
]
| 14 | 0 | 3 | [
"A115331",
"A362277",
"A362279"
]
| null | Seiichi Manyama, Apr 13 2023 | 2023-04-16T09:47:48 | oeisdata/seq/A362/A362279.seq | c51930e2b93ad0525063019e841f834f |
A362280 | a(n) is the number of n X n matrices using all the integers from 1 to n^2 with trace equal to the antitrace. | [
"1",
"8",
"32640",
"606108303360",
"288646869784585568256000",
"3978466023641262138239999300075520000000",
"4808293482959682489757553576215163849442438886195200000000000",
"669887741948823664389458168162886859168459418141304785844082510440658108416000000000000"
]
| [
"nonn",
"hard",
"more"
]
| 27 | 1 | 2 | [
"A000142",
"A001044",
"A052928",
"A362209",
"A362280",
"A362291"
]
| null | Stefano Spezia and Michael S. Branicky, Apr 14 2023 | 2023-04-25T09:22:39 | oeisdata/seq/A362/A362280.seq | bd8c914bf99eb090e842096041a56d36 |
A362281 | a(n) = n! * Sum_{k=0..floor(n/2)} n^k * binomial(n-k,k)/(n-k)!. | [
"1",
"1",
"5",
"19",
"241",
"1601",
"32581",
"308995",
"8655809",
"106673761",
"3805452901",
"57704760851",
"2500580809585",
"45018720191329",
"2295683481085541",
"47848514992963651",
"2806491306922172161",
"66464103165835330625",
"4407449313521981148229",
"116893033842508769526931"
]
| [
"nonn"
]
| 21 | 0 | 3 | [
"A277614",
"A362281",
"A362282"
]
| null | Seiichi Manyama, Apr 14 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362281.seq | b7ab35a9b906bf5efe452ce895e2c932 |
A362282 | a(n) = n! * Sum_{k=0..floor(n/2)} (-n)^k * binomial(n-k,k)/(n-k)!. | [
"1",
"1",
"-3",
"-17",
"145",
"1401",
"-19619",
"-267833",
"5214273",
"91975825",
"-2292948899",
"-49586832129",
"1506939887377",
"38595456391753",
"-1383612408628995",
"-40951481342092649",
"1691614670048805121",
"56809502720559644577",
"-2656760323700732460227",
"-99810124102484722532465"
]
| [
"sign"
]
| 19 | 0 | 3 | [
"A362276",
"A362277",
"A362281",
"A362282"
]
| null | Seiichi Manyama, Apr 14 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362282.seq | 68c7acbe1d4814e7085ed1d7cadcd858 |
A362283 | Expansion of e.g.f. exp( sqrt(-LambertW(-x^2)) ). | [
"1",
"1",
"1",
"4",
"13",
"106",
"601",
"7456",
"60649",
"1012348",
"10748161",
"225641296",
"2957978101",
"74847384184",
"1168123938073",
"34598428916416",
"626497273410961",
"21261683280971536",
"438222313050326209",
"16765636110497697088",
"387549609831150094621",
"16502188154766906299296"
]
| [
"nonn"
]
| 13 | 0 | 4 | [
"A000272",
"A034940",
"A277614",
"A362283",
"A362293"
]
| null | Seiichi Manyama, Apr 14 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362283.seq | 41af0ef484de5137a323bae235879e6c |
A362284 | a(n) is the least number k such that A138705(k) = n, or -1 if no such k exists. | [
"0",
"1",
"5",
"10",
"23",
"6",
"8",
"20",
"50",
"18",
"69",
"66",
"100",
"45",
"56",
"42",
"30",
"40",
"96",
"99",
"72",
"234",
"36",
"348",
"156",
"200",
"168",
"120",
"405",
"390",
"216",
"315",
"90",
"198",
"280",
"270",
"792",
"210",
"180",
"624",
"1120",
"360",
"576",
"1188",
"1134",
"420",
"750",
"1140",
"504",
"1728",
"660",
"600",
"690",
"540",
"630",
"1380",
"810"
]
| [
"nonn"
]
| 15 | 1 | 3 | [
"A000367",
"A002445",
"A027641",
"A027642",
"A138705",
"A362284",
"A362285",
"A362286"
]
| null | Amiram Eldar, Apr 14 2023 | 2023-08-28T08:21:28 | oeisdata/seq/A362/A362284.seq | bd90f6c2c1ae7e6145c4c1eb21820c5d |
A362285 | Indices of records of A138705. | [
"0",
"1",
"5",
"6",
"8",
"18",
"30",
"36",
"90",
"180",
"360",
"420",
"504",
"540",
"630",
"810",
"840",
"1080",
"1260",
"1680",
"1890",
"2520",
"3240",
"3780",
"4200",
"5040",
"7560",
"10080",
"12600",
"21420",
"30240",
"32760",
"37800",
"42840",
"50400",
"60480",
"64260",
"65520",
"83160",
"98280",
"128520"
]
| [
"nonn",
"more"
]
| 8 | 1 | 3 | [
"A000367",
"A002445",
"A027641",
"A027642",
"A100195",
"A138705",
"A362284",
"A362285",
"A362286"
]
| null | Amiram Eldar, Apr 14 2023 | 2023-04-14T03:46:33 | oeisdata/seq/A362/A362285.seq | d3deb2a82d8f0a3062fc1a81596145db |
A362286 | Record values in A138705. | [
"1",
"2",
"3",
"6",
"7",
"10",
"17",
"23",
"33",
"39",
"42",
"46",
"49",
"54",
"55",
"57",
"66",
"73",
"78",
"83",
"85",
"95",
"100",
"105",
"118",
"133",
"157",
"162",
"183",
"201",
"220",
"224",
"234",
"242",
"262",
"272",
"273",
"287",
"309",
"314",
"366"
]
| [
"nonn",
"more"
]
| 8 | 1 | 2 | [
"A000367",
"A002445",
"A027641",
"A027642",
"A100195",
"A138705",
"A362284",
"A362285",
"A362286"
]
| null | Amiram Eldar, Apr 14 2023 | 2023-04-14T03:46:44 | oeisdata/seq/A362/A362286.seq | 75db7ade5697353372f5cea1695e52fa |
A362287 | Hypertotient numbers: numbers k such that the set that includes k and the numbers less than k and relatively prime to k can be partitioned into two disjoint subsets of equal sum. | [
"3",
"4",
"6",
"7",
"8",
"9",
"11",
"12",
"14",
"16",
"18",
"19",
"20",
"22",
"23",
"24",
"26",
"27",
"28",
"31",
"32",
"34",
"36",
"38",
"40",
"42",
"43",
"44",
"46",
"47",
"48",
"49",
"50",
"52",
"54",
"56",
"58",
"59",
"60",
"62",
"64",
"66",
"67",
"68",
"70",
"71",
"72",
"74",
"76",
"78",
"79",
"80",
"81",
"82",
"83",
"84",
"86",
"88",
"90",
"92",
"94",
"96",
"98",
"100",
"102",
"103"
]
| [
"nonn"
]
| 8 | 1 | 1 | [
"A000010",
"A332556",
"A362287"
]
| null | Amiram Eldar, Apr 14 2023 | 2023-04-16T02:17:43 | oeisdata/seq/A362/A362287.seq | b17fe5332eea585ca6b221e7da80f6da |
A362288 | a(n) = Product_{k=0..n} binomial(n,k)^k. | [
"1",
"1",
"2",
"27",
"9216",
"312500000",
"4251528000000000",
"95432797246104853383515625",
"14719075154533285649961930052505436160000",
"65577306173662530591576256095315195684570038194755952705536"
]
| [
"nonn"
]
| 15 | 0 | 3 | [
"A001142",
"A067055",
"A167008",
"A255268",
"A272093",
"A362288"
]
| null | Vaclav Kotesovec, Apr 14 2023 | 2023-04-17T02:02:32 | oeisdata/seq/A362/A362288.seq | a947dd568d3f21cc78c982147bad7214 |
A362289 | a(n) is the largest denominator when the greedy algorithm for Egyptian fractions is applied to 1/n + 1/(n+1). | [
"2",
"3",
"12",
"180",
"30",
"1428",
"56",
"2520",
"90",
"2310",
"132",
"100292556",
"182",
"9240",
"240",
"119952",
"306",
"614444040",
"380",
"23100",
"462",
"42190274940",
"552",
"77390453400",
"650",
"201474",
"756",
"23370247110",
"870",
"200880",
"992",
"14523137084239067683872",
"1122",
"2206260",
"1260",
"104845560637757648698080"
]
| [
"nonn"
]
| 30 | 1 | 1 | [
"A050210",
"A362289"
]
| null | Sebastian F. Orellana, Apr 14 2023 | 2023-04-15T23:32:12 | oeisdata/seq/A362/A362289.seq | 88cdbd0b323bdfd9fb9100d1603e89c3 |
A362290 | a(n) is the number of parts into which the inner region of the parabola y = x^2 is divided by n squares inscribed in the parabola as described in the comments. | [
"4",
"8",
"13",
"19",
"27",
"35",
"44",
"54",
"64",
"76",
"88",
"100",
"113",
"127",
"141",
"155",
"171",
"187",
"203",
"219",
"236",
"254",
"272",
"290",
"308",
"328",
"348",
"368",
"388",
"408",
"429",
"451",
"473",
"495",
"517",
"539",
"563",
"587",
"611",
"635",
"659",
"683",
"708",
"734",
"760",
"786",
"812",
"838",
"864",
"892",
"920",
"948",
"976",
"1004",
"1032",
"1060",
"1089",
"1119",
"1149"
]
| [
"nonn"
]
| 41 | 1 | 1 | null | null | Nicolay Avilov, Apr 14 2023 | 2023-07-15T06:30:05 | oeisdata/seq/A362/A362290.seq | 782dd89ee8e3dd1a14d276a0e2cf2a83 |
A362291 | Number of pairs of disjoint subsets of 1..n^2 of size 2*floor(n/2) having equal sum. | [
"1",
"2",
"68",
"26098",
"1408886",
"12369296230",
"673890139470",
"33193434883028584"
]
| [
"nonn",
"hard",
"more"
]
| 21 | 1 | 2 | [
"A052928",
"A362280",
"A362291"
]
| null | Michael S. Branicky, Apr 14 2023 | 2023-04-25T09:42:15 | oeisdata/seq/A362/A362291.seq | efe22202accaa232110fa2d4735e8e5c |
A362292 | a(n) = (n+1/3)^n * (3*n)!/n!. | [
"1",
"8",
"1960",
"2240000",
"7037430400",
"47023181004800",
"573855569801113600",
"11561744236447268864000",
"357878145625000000000000000",
"16126894605060719806880153600000",
"1014615361149039162308699493990400000",
"86191463407361600308443922239271731200000"
]
| [
"nonn",
"easy"
]
| 12 | 0 | 2 | [
"A000169",
"A034940",
"A362292"
]
| null | Seiichi Manyama, Apr 14 2023 | 2023-04-15T06:27:44 | oeisdata/seq/A362/A362292.seq | e861336e485f43f1c7e83cb2ce98e8d3 |
A362293 | Expansion of e.g.f. exp( (-LambertW(-x^3))^(1/3) ). | [
"1",
"1",
"1",
"1",
"9",
"41",
"121",
"2241",
"18481",
"91729",
"2577681",
"30833441",
"215554681",
"8126363961",
"127462383049",
"1150296157921",
"54416525377761",
"1056352067669921",
"11684649751431841",
"665061201610232769",
"15390714465319910761",
"201615391902487799881"
]
| [
"nonn"
]
| 22 | 0 | 5 | [
"A000272",
"A362283",
"A362292",
"A362293",
"A362300"
]
| null | Seiichi Manyama, Apr 14 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362293.seq | 3227135c291995098f0613fc2493c682 |
A362294 | Erroneous version of A005441. | [
"1",
"1",
"4",
"4",
"9",
"8",
"55",
"21",
"105",
"62",
"429",
"196"
]
| [
"dead"
]
| 7 | 2 | 3 | null | null | null | 2023-04-14T10:52:47 | oeisdata/seq/A362/A362294.seq | d8fbf0a4371df269f391e5efbe9749c2 |
A362295 | Sums of two Fibonacci numbers that are also sums of two squares. | [
"0",
"1",
"2",
"4",
"5",
"8",
"9",
"10",
"13",
"16",
"18",
"26",
"29",
"34",
"36",
"37",
"58",
"68",
"89",
"90",
"97",
"144",
"145",
"146",
"149",
"157",
"178",
"233",
"234",
"241",
"288",
"377",
"466",
"521",
"610",
"612",
"613",
"754",
"1000",
"1021",
"1042",
"1076",
"1220",
"1597",
"1600",
"1602",
"1618",
"1741",
"2592",
"2597",
"2605",
"2817",
"3194",
"4181",
"4194",
"4325",
"6770",
"6773",
"6778",
"6786"
]
| [
"nonn"
]
| 22 | 1 | 3 | [
"A000045",
"A001481",
"A059389",
"A084176",
"A111378",
"A362295"
]
| null | Robert Israel, Apr 14 2023 | 2024-09-29T06:24:04 | oeisdata/seq/A362/A362295.seq | cf502da9714249806e4d9d9a9186e9a1 |
A362296 | Greatest common divisor of composite numbers between the n-th and (n+1)st primes. | [
"4",
"6",
"1",
"12",
"1",
"18",
"1",
"1",
"30",
"1",
"1",
"42",
"1",
"1",
"1",
"60",
"1",
"1",
"72",
"1",
"1",
"1",
"1",
"1",
"102",
"1",
"108",
"1",
"1",
"1",
"1",
"138",
"1",
"150",
"1",
"1",
"1",
"1",
"1",
"180",
"1",
"192",
"1",
"198",
"1",
"1",
"1",
"228",
"1",
"1",
"240",
"1",
"1",
"1",
"1",
"270",
"1",
"1",
"282",
"1",
"1",
"1",
"312",
"1",
"1",
"1",
"1",
"348",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1"
]
| [
"nonn"
]
| 24 | 2 | 1 | [
"A056831",
"A061214",
"A362296"
]
| null | Chai Wah Wu, Apr 15 2023 | 2023-04-16T15:55:24 | oeisdata/seq/A362/A362296.seq | 007c89cc180fe1ccdb151190a3269f7b |
A362297 | Array read by antidiagonals for k,n>=0: T(n,k) = number of tilings of a 2k X n rectangle using dominos and 2 X 2 right triangles. | [
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"4",
"1",
"1",
"1",
"19",
"7",
"1",
"1",
"1",
"97",
"55",
"19",
"1",
"1",
"1",
"508",
"445",
"472",
"40",
"1",
"1",
"1",
"2683",
"3625",
"13249",
"2023",
"97",
"1",
"1",
"1",
"14209",
"29575",
"392299",
"109771",
"13249",
"217",
"1",
"1",
"1",
"75316",
"241375",
"11877025",
"6078148",
"2102272",
"66325",
"508",
"1",
"1",
"1",
"399331",
"1970125",
"362823607",
"338504101",
"358815535",
"22650721",
"392299",
"1159",
"1"
]
| [
"nonn",
"tabl"
]
| 23 | 0 | 9 | [
"A006130",
"A351322",
"A352431",
"A352432",
"A352433",
"A362297",
"A362298",
"A362299"
]
| null | Gerhard Kirchner, Apr 19 2023 | 2023-04-29T00:07:54 | oeisdata/seq/A362/A362297.seq | 691beb73eac8472f6ad42ed6a4f24cca |
A362298 | Number of tilings of a 4 X n rectangle using dominos and 2 X 2 right triangles. | [
"1",
"1",
"19",
"55",
"472",
"2023",
"13249",
"66325",
"392299",
"2088856",
"11877025",
"64803157",
"362823607",
"1998759703",
"11123273896",
"61509329983",
"341492705365",
"1891193243713",
"10489893539203",
"58127214942544",
"322296397820593",
"1786338231961609",
"9903234373856059",
"54893955008138983"
]
| [
"nonn",
"easy"
]
| 11 | 0 | 3 | [
"A006130",
"A351322",
"A352432",
"A352433",
"A362297",
"A362298",
"A362299"
]
| null | Gerhard Kirchner, Apr 19 2023 | 2023-04-28T20:15:39 | oeisdata/seq/A362/A362298.seq | 520f7d1b613705b9a1efcd438a1d9aaf |
A362299 | Number of tilings of a 3 X 2n rectangle using dominos and 2 X 2 right triangles. | [
"1",
"7",
"55",
"445",
"3625",
"29575",
"241375",
"1970125",
"16080625",
"131254375",
"1071334375",
"8744528125",
"71375265625",
"582584734375",
"4755218359375",
"38813412578125",
"316805850390625",
"2585857315234375",
"21106485396484375",
"172276994236328125",
"1406172661416015625"
]
| [
"nonn",
"easy"
]
| 16 | 0 | 2 | [
"A006130",
"A351322",
"A352432",
"A352433",
"A362297",
"A362298",
"A362299"
]
| null | Gerhard Kirchner, Apr 19 2023 | 2024-07-20T17:18:38 | oeisdata/seq/A362/A362299.seq | 1e82dd7255d38459ab22388a0a33dee2 |
A362300 | a(n) = n! * Sum_{k=0..floor(n/3)} (n/3)^k * binomial(n-2*k,k)/(n-2*k)!. | [
"1",
"1",
"1",
"7",
"33",
"101",
"1681",
"14211",
"72577",
"1906633",
"23242401",
"166218911",
"5966236321",
"95016917997",
"873707885233",
"39767572858651",
"781865428682241",
"8787169718273681",
"484500265577706817",
"11335266937098816183",
"150554918241183405601",
"9749671976020428623221"
]
| [
"nonn"
]
| 31 | 0 | 4 | [
"A277614",
"A362043",
"A362293",
"A362300",
"A362314",
"A362319"
]
| null | Seiichi Manyama, Apr 15 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362300.seq | ec122f054266b19e856aa17d95911cdc |
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