sequence_id
stringlengths 7
7
| sequence_name
stringlengths 4
573
| sequence
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
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A362601 | Domination number for pawns' graph P(n). | [
"1",
"2",
"5",
"8",
"12",
"16",
"23",
"28",
"33",
"44",
"49",
"56",
"70",
"78",
"85",
"104",
"111",
"120",
"141",
"152",
"161",
"188",
"197",
"208",
"237",
"250",
"261",
"296",
"307",
"320",
"357",
"372",
"385",
"428",
"441",
"456",
"501",
"518",
"533",
"584"
]
| [
"nonn",
"more"
]
| 77 | 1 | 2 | [
"A075458",
"A362601"
]
| null | Rodolfo Kurchan, Jun 18 2023 | 2023-07-02T12:41:21 | oeisdata/seq/A362/A362601.seq | ac2daf21545c19feaeaf410a21821846 |
A362602 | Integers in the interval [Pi*k - 1/k, Pi*k + 1/k] for some k > 0 that are numerators of convergents to 2*Pi. | [
"6",
"19",
"44",
"333",
"710",
"103993",
"312689",
"2292816",
"4272943",
"10838702",
"80143857",
"411557987",
"2549491779",
"14885392687",
"42106686282",
"1783366216531",
"8958937768937",
"288469374822515",
"856449186698608",
"5706674932067741",
"12269799050834090",
"30246273033735921",
"133254891185777774"
]
| [
"nonn"
]
| 31 | 1 | 1 | [
"A046955",
"A265735",
"A362602"
]
| null | Alexander R. Povolotsky and Stefano Spezia, Apr 27 2023 | 2023-04-30T18:17:37 | oeisdata/seq/A362/A362602.seq | ecf0b51714e9a4e98a269a8446a8139a |
A362603 | Number of permutations p of [2n] in which exactly the first n terms satisfy the up-down property p(1) < p(2) > p(3) < ... . | [
"1",
"1",
"4",
"90",
"3024",
"176400",
"14731200",
"1710268560",
"261131270400",
"50881298307840",
"12308045700787200",
"3620112665116147200",
"1272148028456410828800",
"526419950201914728960000",
"253357552054376603817984000",
"140324455080520735061157120000",
"88618646911930055808757309440000"
]
| [
"nonn"
]
| 23 | 0 | 3 | [
"A000111",
"A001813",
"A092580",
"A362603"
]
| null | Alois P. Heinz, Apr 27 2023 | 2023-04-29T07:05:21 | oeisdata/seq/A362/A362603.seq | 28fad2e34729cd7614d430164a27563c |
A362604 | Expansion of e.g.f. 1/(1 + LambertW(-x * exp(x^2))). | [
"1",
"1",
"4",
"33",
"352",
"4805",
"80256",
"1582693",
"36001792",
"927974601",
"26729943040",
"850921057481",
"29666297020416",
"1124166449205709",
"46005243970846720",
"2022121401647311245",
"95008417631810093056",
"4751844218849365365137",
"252063937292253895065600"
]
| [
"nonn",
"easy"
]
| 50 | 0 | 3 | [
"A072034",
"A216688",
"A356834",
"A362604",
"A362699",
"A362700",
"A362702"
]
| null | Seiichi Manyama, Apr 30 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362604.seq | 3d34dcead17fb61e1c1eb5138a37d1cc |
A362605 | Numbers whose prime factorization has more than one mode. Numbers without a unique exponent of maximum frequency in the prime signature. | [
"6",
"10",
"14",
"15",
"21",
"22",
"26",
"30",
"33",
"34",
"35",
"36",
"38",
"39",
"42",
"46",
"51",
"55",
"57",
"58",
"62",
"65",
"66",
"69",
"70",
"74",
"77",
"78",
"82",
"85",
"86",
"87",
"91",
"93",
"94",
"95",
"100",
"102",
"105",
"106",
"110",
"111",
"114",
"115",
"118",
"119",
"122",
"123",
"129",
"130",
"133",
"134",
"138",
"141",
"142",
"143",
"145",
"146",
"154"
]
| [
"nonn"
]
| 24 | 1 | 1 | [
"A001222",
"A002865",
"A056239",
"A112798",
"A166023",
"A215366",
"A327473",
"A327476",
"A353864",
"A356862",
"A359178",
"A359908",
"A362605",
"A362606",
"A362607",
"A362608",
"A362609",
"A362610",
"A362611",
"A362612",
"A362613",
"A362614",
"A362615"
]
| null | Gus Wiseman, May 05 2023 | 2024-01-20T03:10:39 | oeisdata/seq/A362/A362605.seq | b0299bca2eaabfc9dd146a5515a1831d |
A362606 | Numbers without a unique least prime exponent, or numbers whose prime factorization has more than one element of least multiplicity. | [
"6",
"10",
"14",
"15",
"21",
"22",
"26",
"30",
"33",
"34",
"35",
"36",
"38",
"39",
"42",
"46",
"51",
"55",
"57",
"58",
"60",
"62",
"65",
"66",
"69",
"70",
"74",
"77",
"78",
"82",
"84",
"85",
"86",
"87",
"90",
"91",
"93",
"94",
"95",
"100",
"102",
"105",
"106",
"110",
"111",
"114",
"115",
"118",
"119",
"120",
"122",
"123",
"126",
"129",
"130",
"132",
"133",
"134",
"138",
"140"
]
| [
"nonn"
]
| 5 | 1 | 1 | [
"A001222",
"A056239",
"A112798",
"A215366",
"A327473",
"A327476",
"A353864",
"A356862",
"A359178",
"A359908",
"A362605",
"A362606",
"A362607",
"A362609",
"A362610",
"A362611",
"A362613",
"A362614",
"A362615"
]
| null | Gus Wiseman, May 05 2023 | 2023-05-06T09:03:02 | oeisdata/seq/A362/A362606.seq | 9f247ec91102c67c244ced6dcea7a372 |
A362607 | Number of integer partitions of n with more than one mode. | [
"0",
"0",
"0",
"1",
"1",
"2",
"4",
"4",
"6",
"9",
"13",
"13",
"23",
"23",
"33",
"45",
"56",
"64",
"90",
"101",
"137",
"169",
"208",
"246",
"320",
"379",
"469",
"567",
"702",
"828",
"1035",
"1215",
"1488",
"1772",
"2139",
"2533",
"3076",
"3612",
"4333",
"5117",
"6113",
"7168",
"8557",
"10003",
"11862",
"13899",
"16385",
"19109",
"22525",
"26198",
"30729",
"35736"
]
| [
"nonn"
]
| 31 | 0 | 6 | [
"A000041",
"A002865",
"A008284",
"A098859",
"A237984",
"A238478",
"A238479",
"A275870",
"A304442",
"A327472",
"A353864",
"A353865",
"A356862",
"A359178",
"A359893",
"A360071",
"A362605",
"A362606",
"A362607",
"A362608",
"A362609",
"A362610",
"A362611",
"A362612",
"A362613",
"A362614",
"A362615"
]
| null | Gus Wiseman, Apr 30 2023 | 2024-05-05T14:32:18 | oeisdata/seq/A362/A362607.seq | a3f8023d47099ce52fac8233eb2f0c3a |
A362608 | Number of integer partitions of n having a unique mode. | [
"0",
"1",
"2",
"2",
"4",
"5",
"7",
"11",
"16",
"21",
"29",
"43",
"54",
"78",
"102",
"131",
"175",
"233",
"295",
"389",
"490",
"623",
"794",
"1009",
"1255",
"1579",
"1967",
"2443",
"3016",
"3737",
"4569",
"5627",
"6861",
"8371",
"10171",
"12350",
"14901",
"18025",
"21682",
"26068",
"31225",
"37415",
"44617",
"53258",
"63313",
"75235",
"89173",
"105645"
]
| [
"nonn"
]
| 14 | 0 | 3 | [
"A000041",
"A002865",
"A008284",
"A053263",
"A098859",
"A102750",
"A237984",
"A238478",
"A238479",
"A275870",
"A304442",
"A327472",
"A356862",
"A359178",
"A359893",
"A360071",
"A360687",
"A362605",
"A362606",
"A362607",
"A362608",
"A362609",
"A362610",
"A362611",
"A362612",
"A362613",
"A362614",
"A362615"
]
| null | Gus Wiseman, Apr 30 2023 | 2023-05-04T14:57:32 | oeisdata/seq/A362/A362608.seq | 449ca04fc818ee92bed2a2d525afb1f1 |
A362609 | Number of integer partitions of n with more than one part of least multiplicity. | [
"0",
"0",
"0",
"1",
"1",
"2",
"4",
"5",
"9",
"14",
"19",
"26",
"42",
"51",
"74",
"103",
"136",
"174",
"246",
"303",
"411",
"523",
"674",
"844",
"1114",
"1364",
"1748",
"2174",
"2738",
"3354",
"4247",
"5139",
"6413",
"7813",
"9613",
"11630",
"14328",
"17169",
"20958",
"25180",
"30497",
"36401",
"44025",
"52285",
"62834",
"74626",
"89111",
"105374",
"125662"
]
| [
"nonn"
]
| 7 | 0 | 6 | [
"A000041",
"A002865",
"A008284",
"A053263",
"A098859",
"A117989",
"A238478",
"A238479",
"A275870",
"A283050",
"A304442",
"A353864",
"A356862",
"A359178",
"A359893",
"A360071",
"A362605",
"A362606",
"A362607",
"A362608",
"A362609",
"A362610",
"A362611",
"A362612",
"A362613",
"A362614",
"A362615"
]
| null | Gus Wiseman, Apr 30 2023 | 2023-05-02T16:08:00 | oeisdata/seq/A362/A362609.seq | 9483a15ecbe958596a95ede066849fc2 |
A362610 | Number of integer partitions of n having a unique part of least multiplicity. | [
"0",
"1",
"2",
"2",
"4",
"5",
"7",
"10",
"13",
"16",
"23",
"30",
"35",
"50",
"61",
"73",
"95",
"123",
"139",
"187",
"216",
"269",
"328",
"411",
"461",
"594",
"688",
"836",
"980",
"1211",
"1357",
"1703",
"1936",
"2330",
"2697",
"3253",
"3649",
"4468",
"5057",
"6005",
"6841",
"8182",
"9149",
"10976",
"12341",
"14508",
"16447",
"19380",
"21611",
"25553",
"28628"
]
| [
"nonn"
]
| 14 | 0 | 3 | [
"A000041",
"A002865",
"A008284",
"A053263",
"A098859",
"A237984",
"A238478",
"A238479",
"A240219",
"A247180",
"A275870",
"A304442",
"A327472",
"A353863",
"A353864",
"A353865",
"A356862",
"A359178",
"A359893",
"A362605",
"A362606",
"A362607",
"A362608",
"A362609",
"A362610",
"A362611",
"A362612",
"A362613",
"A362614",
"A362615"
]
| null | Gus Wiseman, Apr 30 2023 | 2023-05-04T14:57:22 | oeisdata/seq/A362/A362610.seq | ef19d4e930e6512b1da4fe291fb66e8a |
A362611 | Number of modes in the prime factorization of n. | [
"0",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"2",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"3",
"1",
"1",
"2",
"2",
"2",
"2",
"1",
"2",
"2",
"1",
"1",
"3",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"2",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"2",
"3",
"1",
"1",
"2",
"3",
"1",
"1",
"1",
"2",
"1",
"1",
"2",
"3",
"1",
"1",
"1",
"2",
"1",
"1",
"2",
"2",
"2"
]
| [
"nonn"
]
| 19 | 1 | 6 | [
"A000040",
"A000720",
"A001221",
"A001222",
"A002110",
"A002865",
"A027746",
"A056239",
"A072774",
"A112798",
"A215366",
"A327473",
"A327476",
"A356862",
"A359178",
"A359908",
"A362605",
"A362606",
"A362607",
"A362608",
"A362609",
"A362610",
"A362611",
"A362613",
"A362614",
"A362615"
]
| null | Gus Wiseman, May 05 2023 | 2025-03-02T07:59:52 | oeisdata/seq/A362/A362611.seq | fbc3577f069c5b481f3c732f7ecad08e |
A362612 | Number of integer partitions of n such that the greatest part is the unique mode. | [
"0",
"1",
"2",
"2",
"3",
"3",
"4",
"4",
"6",
"6",
"7",
"9",
"10",
"12",
"15",
"16",
"19",
"23",
"26",
"32",
"37",
"41",
"48",
"58",
"65",
"75",
"88",
"101",
"115",
"135",
"151",
"176",
"200",
"228",
"261",
"300",
"336",
"385",
"439",
"498",
"561",
"641",
"717",
"818",
"921",
"1036",
"1166",
"1321",
"1477",
"1667",
"1867",
"2099",
"2346",
"2640",
"2944",
"3303",
"3684"
]
| [
"nonn"
]
| 13 | 0 | 3 | [
"A000041",
"A002865",
"A008284",
"A053263",
"A070003",
"A098859",
"A102750",
"A237821",
"A237984",
"A238478",
"A238479",
"A275870",
"A327472",
"A356862",
"A359893",
"A362605",
"A362607",
"A362608",
"A362609",
"A362610",
"A362611",
"A362612",
"A362614",
"A362615",
"A362616"
]
| null | Gus Wiseman, May 03 2023 | 2024-04-03T21:21:53 | oeisdata/seq/A362/A362612.seq | a3a8f30d47ccdbcf37e5ffbc3125dd75 |
A362613 | Number of co-modes in the prime factorization of n. | [
"0",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"2",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"3",
"1",
"1",
"2",
"2",
"2",
"2",
"1",
"2",
"2",
"1",
"1",
"3",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"2",
"2",
"1",
"2",
"1",
"2",
"1",
"1",
"2",
"3",
"1",
"1",
"2",
"3",
"1",
"1",
"1",
"2",
"1",
"1",
"2",
"3",
"1",
"1",
"1",
"2",
"1",
"2",
"2",
"2",
"2"
]
| [
"nonn"
]
| 17 | 1 | 6 | [
"A000040",
"A001222",
"A002110",
"A027746",
"A056239",
"A112798",
"A215366",
"A327473",
"A327476",
"A356862",
"A359178",
"A359908",
"A362605",
"A362606",
"A362609",
"A362610",
"A362611",
"A362613",
"A362614",
"A362615"
]
| null | Gus Wiseman, May 05 2023 | 2023-05-09T08:55:17 | oeisdata/seq/A362/A362613.seq | 050bd06feb8c6f91eae08a156db3eb0a |
A362614 | Irregular triangle read by rows where T(n,k) is the number of integer partitions of n with k modes. | [
"1",
"0",
"1",
"0",
"2",
"0",
"2",
"1",
"0",
"4",
"1",
"0",
"5",
"2",
"0",
"7",
"3",
"1",
"0",
"11",
"3",
"1",
"0",
"16",
"4",
"2",
"0",
"21",
"6",
"3",
"0",
"29",
"8",
"4",
"1",
"0",
"43",
"7",
"5",
"1",
"0",
"54",
"13",
"8",
"2",
"0",
"78",
"12",
"8",
"3",
"0",
"102",
"17",
"11",
"5",
"0",
"131",
"26",
"12",
"6",
"1",
"0",
"175",
"29",
"17",
"9",
"1",
"0",
"233",
"33",
"18",
"11",
"2",
"0",
"295",
"47",
"25"
]
| [
"nonn",
"look",
"tabf"
]
| 20 | 0 | 5 | [
"A000041",
"A002024",
"A002865",
"A003056",
"A008284",
"A026794",
"A096144",
"A098859",
"A238341",
"A238342",
"A240219",
"A275870",
"A356862",
"A359893",
"A360071",
"A362605",
"A362607",
"A362608",
"A362609",
"A362610",
"A362611",
"A362612",
"A362613",
"A362614",
"A362615",
"A372542"
]
| null | Gus Wiseman, May 04 2023 | 2024-05-05T16:42:18 | oeisdata/seq/A362/A362614.seq | df15e54090d5729d6a13dbd48b335bb6 |
A362615 | Irregular triangle read by rows where T(n,k) is the number of integer partitions of n with k co-modes. | [
"1",
"0",
"1",
"0",
"2",
"0",
"2",
"1",
"0",
"4",
"1",
"0",
"5",
"2",
"0",
"7",
"3",
"1",
"0",
"10",
"4",
"1",
"0",
"13",
"7",
"2",
"0",
"16",
"11",
"3",
"0",
"23",
"14",
"4",
"1",
"0",
"30",
"19",
"6",
"1",
"0",
"35",
"29",
"11",
"2",
"0",
"50",
"34",
"14",
"3",
"0",
"61",
"46",
"23",
"5",
"0",
"73",
"69",
"27",
"6",
"1",
"0",
"95",
"81",
"44",
"10",
"1",
"0",
"123",
"105",
"53",
"14",
"2"
]
| [
"nonn",
"tabf"
]
| 15 | 0 | 5 | [
"A000041",
"A002024",
"A003056",
"A008284",
"A026794",
"A096144",
"A098859",
"A238341",
"A238342",
"A275870",
"A325347",
"A359178",
"A359893",
"A362606",
"A362607",
"A362608",
"A362609",
"A362610",
"A362611",
"A362612",
"A362613",
"A362614",
"A362615",
"A372632"
]
| null | Gus Wiseman, May 04 2023 | 2024-05-07T19:42:09 | oeisdata/seq/A362/A362615.seq | 40a31b451f9e7a217af2dd08601151f7 |
A362616 | Numbers in whose prime factorization the greatest factor is the unique mode. | [
"2",
"3",
"4",
"5",
"7",
"8",
"9",
"11",
"13",
"16",
"17",
"18",
"19",
"23",
"25",
"27",
"29",
"31",
"32",
"37",
"41",
"43",
"47",
"49",
"50",
"53",
"54",
"59",
"61",
"64",
"67",
"71",
"73",
"75",
"79",
"81",
"83",
"89",
"97",
"98",
"101",
"103",
"107",
"108",
"109",
"113",
"121",
"125",
"127",
"128",
"131",
"137",
"139",
"147",
"149",
"150",
"151",
"157",
"162",
"163",
"167"
]
| [
"nonn"
]
| 8 | 1 | 1 | [
"A000040",
"A000079",
"A001222",
"A002865",
"A053263",
"A056239",
"A112798",
"A327473",
"A327476",
"A356862",
"A358137",
"A359178",
"A360687",
"A362605",
"A362606",
"A362607",
"A362608",
"A362609",
"A362610",
"A362611",
"A362612",
"A362613",
"A362614",
"A362615",
"A362616"
]
| null | Gus Wiseman, May 05 2023 | 2023-05-07T08:38:42 | oeisdata/seq/A362/A362616.seq | 4383e15927041182935f151dd8d23564 |
A362617 | Numbers whose prime factorization has both (1) even length, and (2) unequal middle parts. | [
"6",
"10",
"14",
"15",
"21",
"22",
"26",
"33",
"34",
"35",
"36",
"38",
"39",
"46",
"51",
"55",
"57",
"58",
"60",
"62",
"65",
"69",
"74",
"77",
"82",
"84",
"85",
"86",
"87",
"91",
"93",
"94",
"95",
"100",
"106",
"111",
"115",
"118",
"119",
"122",
"123",
"129",
"132",
"133",
"134",
"140",
"141",
"142",
"143",
"145",
"146",
"150",
"155",
"156",
"158",
"159",
"161",
"166",
"177"
]
| [
"nonn"
]
| 10 | 1 | 1 | [
"A000040",
"A001222",
"A006881",
"A027746",
"A030229",
"A053263",
"A056239",
"A112798",
"A171979",
"A237824",
"A238478",
"A238479",
"A307683",
"A325347",
"A327473",
"A327476",
"A356862",
"A359893",
"A359907",
"A359908",
"A359912",
"A362605",
"A362607",
"A362611",
"A362614",
"A362616",
"A362617",
"A362618",
"A362620",
"A362621",
"A362622"
]
| null | Gus Wiseman, May 10 2023 | 2023-12-16T09:00:30 | oeisdata/seq/A362/A362617.seq | 6c8ecdb5a30002f14a75c825b1667c2c |
A362618 | Numbers whose prime factorization has either (1) odd length, or (2) equal middle parts. | [
"2",
"3",
"4",
"5",
"7",
"8",
"9",
"11",
"12",
"13",
"16",
"17",
"18",
"19",
"20",
"23",
"24",
"25",
"27",
"28",
"29",
"30",
"31",
"32",
"37",
"40",
"41",
"42",
"43",
"44",
"45",
"47",
"48",
"49",
"50",
"52",
"53",
"54",
"56",
"59",
"61",
"63",
"64",
"66",
"67",
"68",
"70",
"71",
"72",
"73",
"75",
"76",
"78",
"79",
"80",
"81",
"83",
"88",
"89",
"90",
"92",
"96",
"97",
"98",
"99",
"101"
]
| [
"nonn"
]
| 9 | 1 | 1 | [
"A000040",
"A001222",
"A027746",
"A053263",
"A056239",
"A112798",
"A171979",
"A237824",
"A238478",
"A238479",
"A307683",
"A325347",
"A327473",
"A327476",
"A356862",
"A359178",
"A359893",
"A359907",
"A359908",
"A359912",
"A360686",
"A360952",
"A362610",
"A362611",
"A362614",
"A362616",
"A362617",
"A362618",
"A362620",
"A362621",
"A362622"
]
| null | Gus Wiseman, May 10 2023 | 2023-05-11T08:47:00 | oeisdata/seq/A362/A362618.seq | 3e7b547a1195f53809e852f917a1ea21 |
A362619 | One and all numbers whose greatest prime factor is a mode, meaning it appears at least as many times as each of the others. | [
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"11",
"13",
"14",
"15",
"16",
"17",
"18",
"19",
"21",
"22",
"23",
"25",
"26",
"27",
"29",
"30",
"31",
"32",
"33",
"34",
"35",
"36",
"37",
"38",
"39",
"41",
"42",
"43",
"46",
"47",
"49",
"50",
"51",
"53",
"54",
"55",
"57",
"58",
"59",
"61",
"62",
"64",
"65",
"66",
"67",
"69",
"70",
"71",
"73",
"74",
"75",
"77",
"78",
"79",
"81",
"82",
"83"
]
| [
"nonn"
]
| 11 | 1 | 2 | [
"A000040",
"A001222",
"A002865",
"A027746",
"A053263",
"A056239",
"A112798",
"A171979",
"A237824",
"A237984",
"A240302",
"A327473",
"A327476",
"A356862",
"A359178",
"A359908",
"A362605",
"A362606",
"A362607",
"A362608",
"A362609",
"A362610",
"A362611",
"A362612",
"A362613",
"A362614",
"A362615",
"A362616",
"A362619",
"A362620",
"A362621"
]
| null | Gus Wiseman, May 09 2023 | 2025-06-21T00:41:29 | oeisdata/seq/A362/A362619.seq | 24a13df27ac2e0c216fdbfa61ad5ffc4 |
A362620 | Numbers whose greatest prime factor is not a mode, meaning it appears fewer times than some other. | [
"12",
"20",
"24",
"28",
"40",
"44",
"45",
"48",
"52",
"56",
"60",
"63",
"68",
"72",
"76",
"80",
"84",
"88",
"90",
"92",
"96",
"99",
"104",
"112",
"116",
"117",
"120",
"124",
"126",
"132",
"135",
"136",
"140",
"144",
"148",
"152",
"153",
"156",
"160",
"164",
"168",
"171",
"172",
"175",
"176",
"180",
"184",
"188",
"189",
"192",
"198",
"200",
"204",
"207",
"208",
"212"
]
| [
"nonn"
]
| 12 | 1 | 1 | [
"A000040",
"A001222",
"A002865",
"A027746",
"A053263",
"A056239",
"A112798",
"A171979",
"A237824",
"A237984",
"A240302",
"A327473",
"A327476",
"A356862",
"A359178",
"A359908",
"A362605",
"A362606",
"A362607",
"A362608",
"A362609",
"A362610",
"A362611",
"A362613",
"A362614",
"A362615",
"A362616",
"A362619",
"A362620",
"A362621"
]
| null | Gus Wiseman, May 11 2023 | 2023-12-15T08:00:10 | oeisdata/seq/A362/A362620.seq | a857206e4416c4c5d5daecd11a14b36b |
A362621 | One and numbers whose multiset of prime factors (with multiplicity) has the same median as maximum. | [
"1",
"2",
"3",
"4",
"5",
"7",
"8",
"9",
"11",
"13",
"16",
"17",
"18",
"19",
"23",
"25",
"27",
"29",
"31",
"32",
"37",
"41",
"43",
"47",
"49",
"50",
"53",
"54",
"59",
"61",
"64",
"67",
"71",
"73",
"75",
"79",
"81",
"83",
"89",
"97",
"98",
"101",
"103",
"107",
"108",
"109",
"113",
"121",
"125",
"127",
"128",
"131",
"137",
"139",
"147",
"149",
"151",
"157",
"162",
"163",
"167",
"169"
]
| [
"nonn"
]
| 7 | 1 | 2 | [
"A000040",
"A001222",
"A002865",
"A027746",
"A053263",
"A056239",
"A112798",
"A171979",
"A237821",
"A237824",
"A327473",
"A327476",
"A359908",
"A362611",
"A362613",
"A362614",
"A362615",
"A362616",
"A362619",
"A362620",
"A362621",
"A362622",
"A362980"
]
| null | Gus Wiseman, May 12 2023 | 2023-05-12T09:13:45 | oeisdata/seq/A362/A362621.seq | 37feef68b94792ffa25821d0210d3fdf |
A362622 | One and numbers whose prime factorization has its greatest part at a middle position. | [
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"11",
"13",
"14",
"15",
"16",
"17",
"18",
"19",
"21",
"22",
"23",
"25",
"26",
"27",
"29",
"31",
"32",
"33",
"34",
"35",
"36",
"37",
"38",
"39",
"41",
"43",
"46",
"47",
"49",
"50",
"51",
"53",
"54",
"55",
"57",
"58",
"59",
"61",
"62",
"64",
"65",
"67",
"69",
"71",
"73",
"74",
"75",
"77",
"79",
"81",
"82",
"83",
"85",
"86",
"87",
"89",
"91"
]
| [
"nonn"
]
| 6 | 1 | 2 | [
"A000040",
"A001222",
"A002865",
"A027746",
"A053263",
"A056239",
"A112798",
"A171979",
"A237821",
"A237824",
"A237984",
"A327473",
"A327476",
"A359908",
"A362611",
"A362613",
"A362616",
"A362619",
"A362620",
"A362621",
"A362622",
"A362980"
]
| null | Gus Wiseman, May 12 2023 | 2023-05-12T12:22:45 | oeisdata/seq/A362/A362622.seq | 6b9ddd70347ce76bb655e6919ddfe057 |
A362623 | Lexicographically earliest sequence of distinct positive terms such that for any n > 0, the initial digit "d" of a(n) divides a(n+d). | [
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"11",
"12",
"13",
"14",
"15",
"16",
"17",
"18",
"19",
"20",
"21",
"22",
"24",
"26",
"28",
"30",
"32",
"23",
"27",
"36",
"34",
"25",
"33",
"42",
"29",
"39",
"38",
"40",
"45",
"48",
"31",
"44",
"52",
"60",
"35",
"56",
"37",
"75",
"41",
"54",
"50",
"43",
"64",
"46",
"70",
"80",
"47",
"68",
"66",
"49",
"72",
"63",
"51",
"96",
"78",
"53",
"55",
"210"
]
| [
"base",
"nonn",
"look"
]
| 17 | 1 | 2 | [
"A308539",
"A362623"
]
| null | Eric Angelini, Apr 28 2023 | 2025-04-27T08:00:45 | oeisdata/seq/A362/A362623.seq | 4155384745f024e876da9d5dfa8c5bce |
A362624 | a(n) = Sum_{d|n, gcd(d,n/d)=1} psi(d), where psi is the Dedekind psi function (A001615). | [
"1",
"4",
"5",
"7",
"7",
"20",
"9",
"13",
"13",
"28",
"13",
"35",
"15",
"36",
"35",
"25",
"19",
"52",
"21",
"49",
"45",
"52",
"25",
"65",
"31",
"60",
"37",
"63",
"31",
"140",
"33",
"49",
"65",
"76",
"63",
"91",
"39",
"84",
"75",
"91",
"43",
"180",
"45",
"91",
"91",
"100",
"49",
"125",
"57",
"124",
"95",
"105",
"55",
"148",
"91",
"117",
"105",
"124",
"61",
"245",
"63",
"132",
"117",
"97",
"105",
"260",
"69",
"133"
]
| [
"nonn",
"easy",
"mult"
]
| 37 | 1 | 2 | [
"A001615",
"A034444",
"A060648",
"A362624"
]
| null | Wesley Ivan Hurt, Apr 28 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362624.seq | 33f6021c8a173c1f5d49a90bf00bf7bf |
A362625 | a(n) = Sum_{k not divides n - k, 0 <= k < n} k. | [
"0",
"0",
"1",
"1",
"6",
"3",
"15",
"11",
"22",
"23",
"45",
"22",
"66",
"59",
"69",
"71",
"120",
"84",
"153",
"112",
"158",
"179",
"231",
"144",
"256",
"263",
"283",
"266",
"378",
"267",
"435",
"367",
"444",
"479",
"503",
"397",
"630",
"611",
"641",
"550",
"780",
"621",
"861",
"766",
"798",
"923",
"1035",
"772",
"1086",
"1018",
"1143",
"1112",
"1326",
"1119",
"1337",
"1212",
"1448"
]
| [
"nonn",
"easy"
]
| 27 | 1 | 5 | [
"A000005",
"A000203",
"A024816",
"A049820",
"A094471",
"A161680",
"A362625"
]
| null | Wesley Ivan Hurt, Apr 28 2023 | 2023-11-15T01:59:28 | oeisdata/seq/A362/A362625.seq | 0f9c1199805f383a29dc33e95dc4d4b6 |
A362626 | a(n) is the smallest number of 1's used in expressing n as a calculation containing only decimal repunits and operators +, -, * and /, where fractions are allowed as intermediate results. | [
"1",
"2",
"3",
"4",
"5",
"5",
"6",
"5",
"4",
"3",
"2",
"3",
"4",
"5",
"6",
"7",
"7",
"6",
"6",
"5",
"5",
"4",
"5",
"5",
"6",
"6",
"7",
"7",
"7",
"6",
"7",
"6",
"5",
"6",
"7",
"6",
"6",
"7",
"7",
"7",
"8",
"7",
"7",
"6",
"7",
"7",
"8",
"7",
"8",
"7",
"8",
"8",
"8",
"7",
"6",
"6",
"7",
"8",
"8",
"7",
"7",
"8",
"8",
"8",
"8",
"7",
"8",
"8",
"8",
"9",
"9",
"8",
"8",
"7",
"8",
"9",
"8",
"8",
"9",
"8",
"8",
"9",
"10",
"9",
"9",
"9",
"8",
"7",
"7"
]
| [
"nonn",
"base"
]
| 21 | 1 | 2 | [
"A002275",
"A005245",
"A362471",
"A362626"
]
| null | Yifan Xie, Haochen Mi and Michael S. Branicky, Apr 28 2023 | 2025-03-27T02:23:45 | oeisdata/seq/A362/A362626.seq | c415309beeae3937dd3e2a960443eb31 |
A362627 | Euler transform of sigma_n(n) (sum of n-th powers of divisors of n). | [
"1",
"1",
"6",
"34",
"322",
"3588",
"52844",
"900082",
"18111465",
"411941506",
"10548286788",
"298667744593",
"9286665651198",
"314077164671106",
"11484692279345752",
"451291302965764596",
"18966834595501974235",
"848853415894558707472",
"40305029983754331855502",
"2023571200162099967806430",
"107109031661019664234558776"
]
| [
"nonn",
"easy"
]
| 7 | 0 | 3 | [
"A023887",
"A061256",
"A350503",
"A353233",
"A362627"
]
| null | Wesley Ivan Hurt, Apr 28 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362627.seq | 2db61568fe4133ff7319c3dbd6a34b2a |
A362628 | a(n) = Sum_{d|n, phi(d)|n} d. | [
"1",
"3",
"1",
"7",
"1",
"12",
"1",
"15",
"1",
"3",
"1",
"28",
"1",
"3",
"1",
"31",
"1",
"39",
"1",
"22",
"1",
"3",
"1",
"60",
"1",
"3",
"1",
"7",
"1",
"12",
"1",
"63",
"1",
"3",
"1",
"91",
"1",
"3",
"1",
"50",
"1",
"33",
"1",
"7",
"1",
"3",
"1",
"124",
"1",
"3",
"1",
"7",
"1",
"120",
"1",
"15",
"1",
"3",
"1",
"43",
"1",
"3",
"1",
"127",
"1",
"12",
"1",
"7",
"1",
"3",
"1",
"195",
"1",
"3",
"1",
"7",
"1",
"12",
"1",
"106",
"1",
"3",
"1",
"140"
]
| [
"nonn",
"easy"
]
| 6 | 1 | 2 | [
"A000010",
"A069932",
"A362470",
"A362628"
]
| null | Wesley Ivan Hurt, Apr 28 2023 | 2023-04-28T17:37:42 | oeisdata/seq/A362/A362628.seq | 89bf65fe469c528126d1915e5ca137a0 |
A362629 | Least prime pn such that there is a set p1 < p2 < ... < pn of primes such that, for any distinct p and q in the set, p + q + 1 is prime. | [
"2",
"7",
"11",
"23",
"47",
"71",
"233",
"419",
"449",
"1409",
"1889",
"4649",
"11933",
"39953"
]
| [
"nonn",
"hard",
"more"
]
| 48 | 1 | 1 | null | null | Charles R Greathouse IV, Apr 28 2023 | 2025-02-26T08:56:47 | oeisdata/seq/A362/A362629.seq | 7f6ea487a767023cac70d1b6cecfc572 |
A362630 | Squarefree semiprimes (products of two distinct primes) whose factors are strong primes. | [
"187",
"319",
"407",
"451",
"493",
"629",
"649",
"697",
"737",
"781",
"869",
"1003",
"1067",
"1073",
"1111",
"1139",
"1177",
"1189",
"1207",
"1343",
"1397",
"1507",
"1517",
"1639",
"1649",
"1711",
"1717",
"1793",
"1819",
"1943",
"1969",
"2059",
"2101",
"2159",
"2167",
"2183",
"2291",
"2329",
"2419",
"2453",
"2479",
"2497",
"2533",
"2627",
"2629",
"2747",
"2761",
"2771",
"2813",
"2911",
"2923",
"2929",
"2959"
]
| [
"nonn"
]
| 27 | 1 | 1 | [
"A006881",
"A051634",
"A362630"
]
| null | Massimo Kofler, Jun 21 2023 | 2023-06-23T16:55:15 | oeisdata/seq/A362/A362630.seq | 61450bfaf5d6c0e7e7b9c805285e4ee4 |
A362631 | Lexicographically earliest infinite sequence of distinct positive integers with a(n) = n for n <= 3, and for n > 3 a(n) is the least novel multiple of the greatest prime divisor of a(n-2) which does not divide a(n-1). | [
"1",
"2",
"3",
"4",
"6",
"5",
"9",
"10",
"12",
"15",
"8",
"20",
"7",
"25",
"14",
"30",
"21",
"35",
"18",
"28",
"24",
"42",
"11",
"49",
"22",
"56",
"33",
"63",
"44",
"70",
"55",
"77",
"40",
"66",
"45",
"88",
"50",
"99",
"60",
"110",
"27",
"121",
"36",
"132",
"13",
"143",
"16",
"26",
"17",
"39",
"34",
"52",
"51",
"65",
"68",
"78",
"85",
"91",
"102",
"104",
"119",
"117",
"136",
"130",
"153",
"156",
"170",
"169",
"187",
"182",
"204",
"195",
"221",
"75",
"238",
"80",
"255",
"32",
"272",
"19"
]
| [
"nonn"
]
| 26 | 1 | 2 | [
"A007947",
"A098550",
"A361133",
"A361534",
"A361629",
"A362631",
"A362855"
]
| null | David James Sycamore, May 06 2023 | 2023-06-23T07:51:00 | oeisdata/seq/A362/A362631.seq | 7031649a2144fd8200591be3401dc3da |
A362632 | a(n) = Sum_{d|n, gcd(d,n/d)=1} d * psi(d), where psi is the Dedekind psi function (A001615). | [
"1",
"7",
"13",
"25",
"31",
"91",
"57",
"97",
"109",
"217",
"133",
"325",
"183",
"399",
"403",
"385",
"307",
"763",
"381",
"775",
"741",
"931",
"553",
"1261",
"751",
"1281",
"973",
"1425",
"871",
"2821",
"993",
"1537",
"1729",
"2149",
"1767",
"2725",
"1407",
"2667",
"2379",
"3007",
"1723",
"5187",
"1893",
"3325",
"3379",
"3871",
"2257",
"5005",
"2745",
"5257",
"3991",
"4575",
"2863"
]
| [
"nonn",
"easy",
"mult"
]
| 15 | 1 | 2 | [
"A001615",
"A034444",
"A060648",
"A362632"
]
| null | Wesley Ivan Hurt, Apr 28 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362632.seq | 3935271b803588f9cb9d9e1bcee6fd58 |
A362633 | Square array read by antidiagonals: Consider n k-sided fair dice, whose faces are numbered 1, ..., n*k (in any order). The outcome of a roll of the dice determines an ordering of them. T(n,k) is the minimum difference of the number of outcomes resulting in the most common ordering and the number of outcomes resulting in the least common ordering, n,k >= 1. | [
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"1",
"2",
"1",
"0",
"0",
"3",
"2",
"1",
"0",
"1",
"2",
"6",
"2",
"1",
"0",
"0",
"5",
"8",
"6",
"2",
"1"
]
| [
"nonn",
"tabl",
"more"
]
| 11 | 1 | 9 | [
"A034386",
"A362633",
"A362634"
]
| null | Pontus von Brömssen, Apr 29 2023 | 2023-05-13T13:00:23 | oeisdata/seq/A362/A362633.seq | 406d897cfd7172bfb79e9b6ae1285f4a |
A362634 | Let (k_1, ..., k_m) be the partition with Heinz number n (i.e., n = Product_{i=1..m} prime(k_i)) and consider a set of fair dice with k_1, ..., k_m faces numbered 1, ..., k_1 + ... + k_m (in any order). The outcome of a roll of the dice determines an ordering of them. a(n) is the minimum difference of the number of outcomes resulting in the most common ordering and the number of outcomes resulting in the least common ordering. | [
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"2",
"2",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"2",
"2",
"1",
"0",
"1",
"0",
"2",
"0",
"2",
"0",
"1",
"1",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"2",
"1",
"0",
"2",
"0",
"3",
"0",
"3",
"0",
"1",
"0",
"0",
"2",
"3",
"0",
"2",
"0",
"1",
"2",
"1",
"0",
"2",
"1",
"0",
"0"
]
| [
"nonn"
]
| 16 | 1 | 27 | [
"A362633",
"A362634"
]
| null | Pontus von Brömssen, Apr 29 2023 | 2023-05-15T02:24:47 | oeisdata/seq/A362/A362634.seq | dd6cee60e6c67c4f2583648f9bed32e6 |
A362635 | Number of partitions of [n] whose blocks are ordered with increasing least elements and where block i has size at least i. | [
"1",
"1",
"1",
"2",
"5",
"12",
"31",
"97",
"351",
"1318",
"4963",
"19391",
"82531",
"386704",
"1926907",
"9811733",
"50252175",
"261462430",
"1415025895",
"8118274255",
"49355434511",
"312266428040",
"2012834117143",
"13055850467371",
"85215848844559",
"565353777291346",
"3866868949795579",
"27548261709035105"
]
| [
"nonn"
]
| 15 | 0 | 4 | [
"A000110",
"A362549",
"A362635",
"A362637",
"A362638",
"A362893"
]
| null | Alois P. Heinz, Apr 28 2023 | 2023-05-15T16:13:06 | oeisdata/seq/A362/A362635.seq | aa2973ff446dd35fda24ad3efdd82269 |
A362636 | a(n) = Sum_{d|n, gcd(d,n/d)=1} d^d. | [
"1",
"5",
"28",
"257",
"3126",
"46688",
"823544",
"16777217",
"387420490",
"10000003130",
"285311670612",
"8916100448540",
"302875106592254",
"11112006826381564",
"437893890380862528",
"18446744073709551617",
"827240261886336764178",
"39346408075296924995918",
"1978419655660313589123980",
"104857600000000000000003382"
]
| [
"nonn",
"easy"
]
| 7 | 1 | 2 | [
"A034444",
"A034448",
"A362636"
]
| null | Wesley Ivan Hurt, Apr 28 2023 | 2023-04-28T20:07:44 | oeisdata/seq/A362/A362636.seq | b4b510f3ea0ede566928783890b80b06 |
A362637 | Number of partitions of [n] whose blocks are ordered with increasing least elements and where block i (except possibly the last) has size at least i. | [
"1",
"1",
"2",
"4",
"10",
"30",
"96",
"323",
"1184",
"4784",
"20708",
"93073",
"431004",
"2080610",
"10615276",
"57291063",
"322921896",
"1871715144",
"11065738360",
"66843918825",
"415837464280",
"2684434034706",
"18010208402784",
"124877499979859",
"886741484322660",
"6399683149311272",
"46802092819866340"
]
| [
"nonn"
]
| 13 | 0 | 3 | [
"A000110",
"A362549",
"A362635",
"A362637",
"A362639"
]
| null | Alois P. Heinz, Apr 28 2023 | 2023-05-15T16:37:59 | oeisdata/seq/A362/A362637.seq | 250b063494f4b353ffb6d419c8e774f5 |
A362638 | Number of partitions of [n] whose blocks are ordered with increasing least elements and where block i has size at most i. | [
"1",
"1",
"1",
"2",
"4",
"11",
"34",
"117",
"458",
"1960",
"9113",
"45730",
"246220",
"1411820",
"8584314",
"55121249",
"372445462",
"2639750490",
"19570232608",
"151390999949",
"1219308754065",
"10204045406690",
"88571532840007",
"796100505025761",
"7398510884959638",
"70995106473861076",
"702542384597885615"
]
| [
"nonn"
]
| 9 | 0 | 4 | [
"A000110",
"A362635",
"A362638"
]
| null | Alois P. Heinz, Apr 28 2023 | 2023-05-15T16:28:55 | oeisdata/seq/A362/A362638.seq | dd1c783abe585a61b7ca80cc046b49e7 |
A362639 | Number of partitions of [n] whose blocks are ordered with increasing least elements and where block i (except possibly the last) has size i. | [
"1",
"1",
"1",
"1",
"2",
"3",
"4",
"15",
"36",
"70",
"120",
"756",
"2800",
"7920",
"18900",
"40040",
"388080",
"2106000",
"8408400",
"27489000",
"77837760",
"197520960",
"2756754000",
"20903929200",
"113809696000",
"497097881280",
"1847907341280",
"6062876820000",
"17990209036800",
"343877493960000",
"3501594297801600"
]
| [
"nonn"
]
| 9 | 0 | 5 | [
"A000110",
"A362637",
"A362639"
]
| null | Alois P. Heinz, Apr 28 2023 | 2023-05-15T16:38:19 | oeisdata/seq/A362/A362639.seq | a2dd3d883f3de40c2c86f94c9d8cc5ab |
A362640 | Product of the larger primes, q, in the Goldbach partitions of 2n such that p + q = 2n, p <= q, and p,q prime (or 1 if no Goldbach partition of 2n exists). | [
"1",
"2",
"3",
"5",
"35",
"7",
"77",
"143",
"143",
"221",
"3553",
"4199",
"5681",
"391",
"7429",
"551",
"351509",
"392863",
"589",
"24679",
"765049",
"47027",
"1175921",
"58642669",
"2318087",
"55883",
"95041567",
"84323",
"2961799",
"5037203051",
"78647",
"367569469",
"14263488419",
"2257",
"403723843",
"22531226387",
"461671607",
"761740327"
]
| [
"nonn",
"easy"
]
| 12 | 1 | 2 | [
"A010051",
"A045917",
"A337568",
"A362640",
"A362641"
]
| null | Wesley Ivan Hurt, Apr 28 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362640.seq | d4558a40e3106d5d9b7d7d1af9cacd51 |
A362641 | Product of the smaller primes, p, in the Goldbach partitions of 2n such that p + q = 2n, p <= q, and p,q prime (or 1 if no Goldbach partition of 2n exists). | [
"1",
"2",
"3",
"3",
"15",
"5",
"21",
"15",
"35",
"21",
"165",
"385",
"273",
"55",
"1001",
"39",
"2805",
"7735",
"133",
"561",
"13585",
"273",
"5865",
"124355",
"5187",
"1265",
"391391",
"741",
"27115",
"19605131",
"1767",
"64515",
"5766215",
"217",
"374187",
"12212915",
"313131",
"170085",
"142635185",
"63973",
"902451",
"13147103255",
"223041",
"101065",
"818183948197"
]
| [
"nonn",
"easy"
]
| 10 | 1 | 2 | [
"A010051",
"A045917",
"A337568",
"A362640",
"A362641"
]
| null | Wesley Ivan Hurt, Apr 28 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362641.seq | bbe0bf8d22755317a246db26eb474b05 |
A362642 | Number of nonisomorphic magmas with n elements satisfying the equations (xy)y = x and x(yz) = xy. | [
"1",
"1",
"2",
"4",
"13",
"47",
"255",
"1810",
"18471",
"266931"
]
| [
"nonn",
"more"
]
| 6 | 0 | 3 | [
"A001329",
"A361720",
"A362382",
"A362385",
"A362642",
"A362643"
]
| null | Andrew Howroyd, Apr 28 2023 | 2023-04-30T23:16:39 | oeisdata/seq/A362/A362642.seq | 75dfe44f95b357719ed5c40ae5748d34 |
A362643 | Number of labeled magmas with n elements satisfying the equations (xy)y = x and x(yz) = xy. | [
"1",
"1",
"2",
"10",
"94",
"1636",
"49636",
"2489824",
"204626528",
"27296455456",
"5930440245856",
"2144594499551296",
"1333437360189448768",
"1510196144261999035648",
"3333925936841219018864384",
"15357830414682103475484461056",
"155003843551785210349182746546176"
]
| [
"nonn"
]
| 7 | 0 | 3 | [
"A000085",
"A362383",
"A362386",
"A362642",
"A362643"
]
| null | Andrew Howroyd, Apr 28 2023 | 2023-04-30T23:16:43 | oeisdata/seq/A362/A362643.seq | 46fefccdf620a71dea6f648368202d87 |
A362644 | Array read by antidiagonals: T(n,k) is the number of nonisomorphic multisets of permutations of an n-set with k permutations. | [
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"3",
"3",
"1",
"1",
"1",
"4",
"8",
"5",
"1",
"1",
"1",
"5",
"17",
"28",
"7",
"1",
"1",
"1",
"6",
"34",
"159",
"96",
"11",
"1",
"1",
"1",
"7",
"61",
"888",
"2655",
"495",
"15",
"1",
"1",
"1",
"8",
"105",
"4521",
"76854",
"88885",
"2919",
"22",
"1",
"1",
"1",
"9",
"170",
"20916",
"1882581",
"15719714",
"4255594",
"22024",
"30",
"1"
]
| [
"nonn",
"tabl"
]
| 9 | 0 | 9 | [
"A000012",
"A000041",
"A002626",
"A362644",
"A362645",
"A362646",
"A362647",
"A362648"
]
| null | Andrew Howroyd, May 01 2023 | 2023-05-02T17:49:24 | oeisdata/seq/A362/A362644.seq | a6535273de1adae49c18029a12eedb99 |
A362645 | Number of nonisomorphic unordered pairs of permutations of an n-set. | [
"1",
"1",
"3",
"8",
"28",
"96",
"495",
"2919",
"22024",
"190585",
"1876379",
"20445393",
"244087497",
"3161870309",
"44155439841",
"661065427709",
"10561205779056",
"179324080365257",
"3224650449785570",
"61218223893369204",
"1223523447160284480",
"25679025453032962924",
"564657001202726478315"
]
| [
"nonn"
]
| 9 | 0 | 3 | [
"A362644",
"A362645",
"A362649"
]
| null | Andrew Howroyd, May 01 2023 | 2023-05-02T17:49:19 | oeisdata/seq/A362/A362645.seq | 742ea758b9e2bb709609b0d575d2e839 |
A362646 | Number of nonisomorphic unordered triples of permutations of an n-set. | [
"1",
"1",
"4",
"17",
"159",
"2655",
"88885",
"4255594",
"271455237",
"21965858675",
"2195840991306",
"265649187979346",
"38249422682143111",
"6463715133421876832",
"1266831272565696798499",
"285028258254526750598805",
"72965650731146278648727481",
"21086743012582576506980525584"
]
| [
"nonn"
]
| 7 | 0 | 3 | [
"A362644",
"A362645",
"A362646",
"A362650"
]
| null | Andrew Howroyd, May 01 2023 | 2023-05-02T17:49:14 | oeisdata/seq/A362/A362646.seq | cd69ce198df80cfe84f35be93d8e387f |
A362647 | Number of nonisomorphic multisets of permutations of an n-set with n permutations. | [
"1",
"1",
"3",
"17",
"888",
"1882581",
"274390124129",
"3265588702832507993",
"4299566944915974710190397764",
"828675148077869385766758257425030178834",
"30068353582978500344223495096836001731261047276252951",
"257277650306758464761197063911448586633222894357360550424924677512839"
]
| [
"nonn"
]
| 6 | 0 | 3 | [
"A362644",
"A362647",
"A362651"
]
| null | Andrew Howroyd, May 01 2023 | 2023-05-02T17:49:10 | oeisdata/seq/A362/A362647.seq | ce1ccfa57214ce4c7e17c2e24b1ca792 |
A362648 | Array read by antidiagonals: T(n,k) is the number of nonisomorphic multisets of involutions on an n-set with k involutions. | [
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"3",
"2",
"1",
"1",
"1",
"4",
"4",
"3",
"1",
"1",
"1",
"5",
"7",
"10",
"3",
"1",
"1",
"1",
"6",
"11",
"29",
"13",
"4",
"1",
"1",
"1",
"7",
"16",
"74",
"63",
"27",
"4",
"1",
"1",
"1",
"8",
"23",
"173",
"315",
"258",
"36",
"5",
"1",
"1",
"1",
"9",
"31",
"383",
"1532",
"3039",
"759",
"69",
"5",
"1",
"1",
"1",
"10",
"41",
"790",
"7093",
"38800",
"28550",
"3263",
"92",
"6",
"1"
]
| [
"nonn",
"tabl"
]
| 8 | 0 | 9 | [
"A000012",
"A000085",
"A004526",
"A362644",
"A362648",
"A362649",
"A362650",
"A362651",
"A362759"
]
| null | Andrew Howroyd, May 01 2023 | 2023-05-03T10:52:00 | oeisdata/seq/A362/A362648.seq | facfcda8bc3fe3c1bbfc2e7b8b1ced28 |
A362649 | Number of nonisomorphic unordered pairs of involutions on an n-set. | [
"1",
"1",
"3",
"4",
"10",
"13",
"27",
"36",
"69",
"92",
"162",
"217",
"365",
"487",
"782",
"1043",
"1622",
"2154",
"3253",
"4306",
"6355",
"8376",
"12107",
"15893",
"22582",
"29512",
"41285",
"53729",
"74164",
"96100",
"131054",
"169110",
"228165",
"293202",
"391752",
"501406",
"664093",
"846642",
"1112363",
"1412768",
"1842620"
]
| [
"nonn"
]
| 8 | 0 | 3 | [
"A000085",
"A362645",
"A362648",
"A362649"
]
| null | Andrew Howroyd, May 01 2023 | 2023-05-03T10:51:56 | oeisdata/seq/A362/A362649.seq | 326ac41f84771807bd7a3675285cf0d3 |
A362650 | Number of nonisomorphic unordered triples of involutions on an n-set. | [
"1",
"1",
"4",
"7",
"29",
"63",
"258",
"759",
"3263",
"12250",
"56330",
"250841",
"1235205",
"6113154",
"31941407",
"169613842",
"932670975",
"5223815423",
"30040926830",
"175918987173",
"1053086891249",
"6413469553076",
"39818396779256",
"251251607202822",
"1613056058498375",
"10514730684539068"
]
| [
"nonn"
]
| 7 | 0 | 3 | [
"A362646",
"A362648",
"A362649",
"A362650"
]
| null | Andrew Howroyd, May 01 2023 | 2023-05-03T10:51:52 | oeisdata/seq/A362/A362650.seq | 9d66898a948e2cf090c4561c328c697d |
A362651 | Number of nonisomorphic multisets of involutions on an n-set with n involutions. | [
"1",
"1",
"3",
"7",
"74",
"1532",
"478902",
"1561933881",
"74069769621942",
"44786847731274624558",
"454923769422460614413179958",
"75365529411732671264995255795387368",
"250450659464630320300793563353757730632329596",
"16712244262184960007363857016489055045260380508520606142"
]
| [
"nonn"
]
| 6 | 0 | 3 | [
"A362382",
"A362647",
"A362648",
"A362651"
]
| null | Andrew Howroyd, May 01 2023 | 2023-05-03T10:51:49 | oeisdata/seq/A362/A362651.seq | ff12f22991296c60736a714af2adf409 |
A362652 | Expansion of g.f. x*(-2 - 2*x + x^2 - x^3)/((1 + x)^2 *(-1 + x)^3). | [
"2",
"4",
"7",
"12",
"16",
"24",
"29",
"40",
"46",
"60",
"67",
"84",
"92",
"112",
"121",
"144",
"154",
"180",
"191",
"220",
"232",
"264",
"277",
"312",
"326",
"364",
"379",
"420",
"436",
"480",
"497",
"544",
"562",
"612",
"631",
"684",
"704",
"760",
"781",
"840",
"862",
"924",
"947",
"1012",
"1036",
"1104",
"1129",
"1200",
"1226",
"1300",
"1327"
]
| [
"nonn",
"easy"
]
| 27 | 1 | 1 | [
"A053439",
"A362652"
]
| null | Jonathon Priestley, Apr 28 2023 | 2023-06-26T16:09:49 | oeisdata/seq/A362/A362652.seq | 0ddd5c5f83aea9c945712108229c276d |
A362653 | E.g.f. satisfies A(x) = exp( x * exp(x^2) * A(x)^2 ). | [
"1",
"1",
"5",
"55",
"849",
"17641",
"462373",
"14651295",
"545025281",
"23291218801",
"1124589371301",
"60553038168679",
"3597677815336465",
"233810179507710105",
"16499939198003013509",
"1256544674435523638671",
"102713141497515307408257",
"8970278754666722087785825"
]
| [
"nonn"
]
| 13 | 0 | 3 | [
"A360547",
"A362653",
"A362654",
"A362673"
]
| null | Seiichi Manyama, Apr 28 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362653.seq | 0d9593475266b29d4c621c87fc2b140a |
A362654 | E.g.f. satisfies A(x) = exp( x * exp(x^2) * A(x) ). | [
"1",
"1",
"3",
"22",
"197",
"2316",
"33967",
"595624",
"12190761",
"285479056",
"7531645211",
"221124649824",
"7152276636397",
"252742471065280",
"9688895208298503",
"400510408002257536",
"17759663471017945553",
"840937887639033467136",
"42351198256293556043827"
]
| [
"nonn"
]
| 17 | 0 | 3 | [
"A273954",
"A362653",
"A362654",
"A362655",
"A362673"
]
| null | Seiichi Manyama, Apr 28 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362654.seq | 720b0e442f1e0332a63bbf36fa73ab74 |
A362655 | E.g.f. satisfies A(x) = exp( x * exp(x^3) * A(x) ). | [
"1",
"1",
"3",
"16",
"149",
"1656",
"22567",
"369664",
"7081209",
"155178928",
"3830958251",
"105267080304",
"3187172910517",
"105437661606616",
"3784329536385231",
"146474021771040856",
"6081955388047685873",
"269686446704697314016",
"12719466142269818201299"
]
| [
"nonn"
]
| 16 | 0 | 3 | [
"A273954",
"A354553",
"A362654",
"A362655",
"A362674"
]
| null | Seiichi Manyama, Apr 28 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362655.seq | 94f26b93037d05994252dcfd8d635102 |
A362656 | E.g.f. satisfies A(x) = exp( x * exp(x) * A(x)^3 ). | [
"1",
"1",
"9",
"145",
"3569",
"119041",
"5025145",
"256991953",
"15448193633",
"1067634195841",
"83414064659561",
"7270683884044945",
"699503964027087697",
"73631519384051331457",
"8417768844410686595801",
"1038658083084399115865041",
"137579671405398060549801665"
]
| [
"nonn"
]
| 16 | 0 | 3 | [
"A052752",
"A273954",
"A360473",
"A362656",
"A362671",
"A362672"
]
| null | Seiichi Manyama, Apr 28 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362656.seq | 93abf654c5f847949b2dde888327cb59 |
A362657 | Number of bracelets consisting of three instances each of n swappable colors. | [
"1",
"1",
"3",
"25",
"713",
"47283",
"5301453",
"862284559",
"190869905951",
"55139769554236",
"20148062989955675",
"9084944524391553737",
"4955080153387098326546",
"3215465859346835309769199",
"2448347575754387175150096999",
"2161727686219210764644850060171"
]
| [
"nonn"
]
| 26 | 0 | 3 | [
"A054499",
"A362657",
"A362658",
"A362659"
]
| null | Marko Riedel, Apr 28 2023 | 2023-05-01T05:35:33 | oeisdata/seq/A362/A362657.seq | 797d48e1ada555100139c4125804bcc5 |
A362658 | Number of bracelets consisting of four instances each of n swappable colors. | [
"1",
"1",
"7",
"297",
"83488",
"63698215",
"93945180662",
"235528677557853",
"926363255677856473",
"5389375509102629522572",
"44328152493384890722579175",
"497321572654372894502827791849",
"7392063525541285464935001208117037",
"142098205771751298697282911028204773107"
]
| [
"nonn"
]
| 21 | 0 | 3 | [
"A054499",
"A362657",
"A362658",
"A362659"
]
| null | Marko Riedel, Apr 28 2023 | 2023-05-01T05:35:59 | oeisdata/seq/A362/A362658.seq | 12d55d4fe76743174c865d0ce02ec20a |
A362659 | Number of bracelets consisting of five instances each of n swappable colors. | [
"1",
"1",
"13",
"4378",
"12233517",
"103894521686",
"2056311437607449",
"81740134830144396361",
"5882806848658078687971208",
"709863922231677860752825092507",
"135362815548082376882965035235017478",
"38916932527178726512080491324045688954141",
"16236098847251016325260957735961487958183209730"
]
| [
"nonn"
]
| 21 | 0 | 3 | [
"A054499",
"A362657",
"A362658",
"A362659"
]
| null | Marko Riedel, Apr 28 2023 | 2023-05-01T05:36:05 | oeisdata/seq/A362/A362659.seq | b96a93d4054f55bf73c84374c3f2e22e |
A362660 | E.g.f. satisfies A(x) = exp( x * exp(x^2/2) * A(x) ). | [
"1",
"1",
"3",
"19",
"161",
"1791",
"24847",
"413449",
"8036625",
"178852753",
"4486426091",
"125279093259",
"3854964555697",
"129618443364463",
"4728625129171959",
"186034319795094481",
"7851808690935373793",
"353903271319498588641",
"16966669198377512202643"
]
| [
"nonn"
]
| 14 | 0 | 3 | [
"A273954",
"A354550",
"A362654",
"A362660",
"A362661"
]
| null | Seiichi Manyama, Apr 29 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362660.seq | 268c22599cb255d1e9611e6e4e4d0bad |
A362661 | E.g.f. satisfies A(x) = exp( x * exp(x^3/6) * A(x) ). | [
"1",
"1",
"3",
"16",
"129",
"1356",
"17767",
"279714",
"5149209",
"108591688",
"2582351451",
"68380940904",
"1995777685717",
"63659665732716",
"2203395556479951",
"82253291389678756",
"3294326092613575473",
"140911264444599281616",
"6411278790217738946899"
]
| [
"nonn"
]
| 16 | 0 | 3 | [
"A143567",
"A273954",
"A354551",
"A362655",
"A362660",
"A362661"
]
| null | Seiichi Manyama, Apr 29 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362661.seq | 713003d9ff553b5ade8e536a90b5af8e |
A362662 | Decimal expansion of Sum_{n>=1} (tan(1/n) - sin(1/n)). | [
"8",
"2",
"2",
"0",
"8",
"2",
"2",
"0",
"0",
"8",
"0",
"3",
"5",
"8",
"8",
"2",
"0",
"2",
"9",
"3",
"5",
"8",
"7",
"0",
"1",
"1",
"8",
"7",
"1",
"5",
"9",
"9",
"3",
"5",
"2",
"0",
"7",
"3",
"0",
"4",
"4",
"6",
"0",
"4",
"3",
"8",
"1",
"1",
"6",
"5",
"3",
"2",
"6",
"3",
"9",
"0",
"8",
"3",
"6",
"8",
"5",
"9",
"3",
"9",
"3",
"4",
"3",
"7",
"1",
"0",
"5",
"3",
"4",
"5",
"3",
"5",
"4",
"3",
"6",
"8",
"1",
"3",
"2",
"4",
"6",
"0",
"0",
"4",
"7",
"1",
"3",
"4",
"7",
"4",
"3",
"2",
"2"
]
| [
"nonn",
"cons"
]
| 19 | 0 | 1 | [
"A096444",
"A248946",
"A248948",
"A342680",
"A362662"
]
| null | Bernard Schott, Apr 29 2023 | 2023-05-05T05:00:39 | oeisdata/seq/A362/A362662.seq | d1ec355f1f4b8f0f0b631c90e9bf1f79 |
A362663 | a(n) is the partial sum of b(n), which is defined to be the difference between the numbers of primes in (n^2, n^2 + n] and in (n^2 - n, n^2]. | [
"1",
"1",
"1",
"2",
"2",
"3",
"2",
"2",
"2",
"5",
"6",
"6",
"6",
"6",
"8",
"10",
"8",
"6",
"5",
"5",
"5",
"6",
"5",
"5",
"4",
"4",
"5",
"5",
"4",
"4",
"5",
"5",
"7",
"7",
"7",
"9",
"10",
"10",
"10",
"13",
"14",
"13",
"16",
"15",
"14",
"14",
"17",
"17",
"15",
"17",
"17",
"16",
"16",
"18",
"18",
"20",
"22",
"18",
"19",
"19",
"18",
"19",
"17",
"19",
"25",
"27",
"27",
"30",
"31",
"37",
"35",
"35",
"34",
"34"
]
| [
"sign"
]
| 25 | 1 | 4 | [
"A014085",
"A089610",
"A094189",
"A192391",
"A362663"
]
| null | Ya-Ping Lu, Apr 29 2023 | 2023-06-16T13:44:55 | oeisdata/seq/A362/A362663.seq | 31890f1d3110aa3c6eb2e0b140e5604d |
A362664 | Numbers k with exactly two solutions x to the equation iphi(x) = k, where iphi is the infinitary totient function A091732. | [
"1",
"2",
"3",
"4",
"10",
"15",
"20",
"22",
"28",
"42",
"44",
"45",
"46",
"52",
"54",
"56",
"58",
"70",
"78",
"82",
"92",
"100",
"102",
"104",
"106",
"116",
"130",
"136",
"140",
"148",
"162",
"164",
"166",
"172",
"174",
"178",
"184",
"190",
"196",
"200",
"204",
"208",
"212",
"220",
"222",
"226",
"228",
"234",
"238",
"246",
"250",
"255",
"260",
"262",
"268",
"272",
"282",
"292",
"296"
]
| [
"nonn"
]
| 8 | 1 | 2 | [
"A007814",
"A091732",
"A361969",
"A362185",
"A362484",
"A362485",
"A362664"
]
| null | Amiram Eldar, Apr 29 2023 | 2023-04-29T07:34:06 | oeisdata/seq/A362/A362664.seq | 0352e74c6626dbe010ecc8e23622d042 |
A362665 | a(n) is the smaller of the two solutions to A091732(x) = A362664(n). | [
"1",
"3",
"4",
"5",
"11",
"16",
"33",
"23",
"29",
"43",
"69",
"64",
"47",
"53",
"76",
"87",
"59",
"71",
"79",
"83",
"141",
"101",
"103",
"159",
"107",
"177",
"131",
"137",
"213",
"149",
"163",
"249",
"167",
"173",
"236",
"179",
"235",
"191",
"197",
"303",
"309",
"265",
"321",
"253",
"223",
"227",
"229",
"316",
"239",
"332",
"251",
"256",
"393",
"263",
"269",
"411",
"283"
]
| [
"nonn"
]
| 7 | 1 | 2 | [
"A091732",
"A131826",
"A362211",
"A362212",
"A362484",
"A362664",
"A362665"
]
| null | Amiram Eldar, Apr 29 2023 | 2023-04-29T07:33:03 | oeisdata/seq/A362/A362665.seq | 09b5ad73f1211e33bb9340cee1bdfbf1 |
A362666 | a(n) is the largest m such that iphi(m) = n, where iphi is the infinitary totient function A091732, or a(n) = 0 if no such m exists. | [
"2",
"6",
"8",
"10",
"0",
"24",
"0",
"30",
"0",
"22",
"0",
"42",
"0",
"0",
"32",
"54",
"0",
"56",
"0",
"66",
"0",
"46",
"0",
"120",
"0",
"0",
"0",
"58",
"0",
"96",
"0",
"102",
"0",
"0",
"0",
"168",
"0",
"0",
"0",
"110",
"0",
"86",
"0",
"138",
"128",
"94",
"0",
"216",
"0",
"0",
"0",
"106",
"0",
"152",
"0",
"174",
"0",
"118",
"0",
"264",
"0",
"0",
"0",
"270",
"0",
"184",
"0",
"0",
"0",
"142",
"0",
"312"
]
| [
"nonn"
]
| 7 | 1 | 1 | [
"A057635",
"A091732",
"A362484",
"A362486",
"A362666",
"A362667",
"A362668"
]
| null | Amiram Eldar, Apr 29 2023 | 2023-04-29T07:36:29 | oeisdata/seq/A362/A362666.seq | c4b67ece090a5107d1a89fb10e762da8 |
A362667 | Infinitary sparsely totient numbers: numbers k such that m > k implies iphi(m) > iphi(k), where iphi is the infinitary totient function A091732. | [
"2",
"6",
"8",
"10",
"24",
"30",
"42",
"54",
"56",
"66",
"120",
"168",
"216",
"264",
"270",
"312",
"330",
"384",
"408",
"456",
"480",
"510",
"552",
"840",
"1080",
"1320",
"1560",
"1920",
"2040",
"2280",
"2376",
"2760",
"3000",
"3192",
"3480",
"3720",
"3864",
"4440",
"4920",
"5160",
"5208",
"5640",
"7560",
"9240",
"10920",
"11880",
"13440",
"14280",
"15960"
]
| [
"nonn"
]
| 8 | 1 | 1 | [
"A036913",
"A091732",
"A362484",
"A362666",
"A362667",
"A362668"
]
| null | Amiram Eldar, Apr 29 2023 | 2023-04-29T07:33:49 | oeisdata/seq/A362/A362667.seq | 9842d1f5b5441ce5a2ed37d94be45fd1 |
A362668 | a(n) = A091732(A362667(n)). | [
"1",
"2",
"3",
"4",
"6",
"8",
"12",
"16",
"18",
"20",
"24",
"36",
"48",
"60",
"64",
"72",
"80",
"90",
"96",
"108",
"120",
"128",
"132",
"144",
"192",
"240",
"288",
"360",
"384",
"432",
"480",
"528",
"576",
"648",
"672",
"720",
"792",
"864",
"960",
"1008",
"1080",
"1104",
"1152",
"1440",
"1728",
"1920",
"2160",
"2304",
"2592",
"2880",
"3072",
"3168",
"3456",
"3600",
"3840"
]
| [
"nonn"
]
| 7 | 1 | 2 | [
"A036912",
"A091732",
"A362484",
"A362666",
"A362667",
"A362668"
]
| null | Amiram Eldar, Apr 29 2023 | 2023-04-29T07:38:05 | oeisdata/seq/A362/A362668.seq | 28d223b4bfb4fa268c321ea27e6c4896 |
A362669 | Integer inradii for which there exists an isosceles triangle with integer sides (a, b, b) where a < b. | [
"10",
"20",
"21",
"24",
"30",
"36",
"40",
"42",
"48",
"50",
"55",
"60",
"63",
"70",
"72",
"78",
"80",
"84",
"90",
"96",
"100",
"105",
"108",
"110",
"112",
"120",
"126",
"130",
"136",
"140",
"144",
"147",
"150",
"156",
"160",
"165",
"168",
"170",
"171",
"180",
"189",
"190",
"192",
"195",
"200",
"210",
"216",
"220",
"224",
"230",
"231",
"234",
"240",
"250",
"252",
"253",
"260",
"264",
"270",
"272",
"273",
"275"
]
| [
"nonn"
]
| 31 | 1 | 1 | [
"A008592",
"A070204",
"A120062",
"A120570",
"A362669",
"A362670"
]
| null | Bernard Schott, Apr 29 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362669.seq | ad4e8d74c0636ecd930d9d971b7b174b |
A362670 | Integer inradii for which there exists an isosceles triangle with integer sides (a, a, c) where a < c. | [
"3",
"4",
"6",
"8",
"9",
"12",
"15",
"16",
"18",
"20",
"21",
"24",
"27",
"28",
"30",
"32",
"33",
"35",
"36",
"39",
"40",
"42",
"44",
"45",
"48",
"51",
"52",
"54",
"56",
"57",
"60",
"63",
"64",
"66",
"68",
"69",
"70",
"72",
"75",
"76",
"78",
"80",
"81",
"84",
"87",
"88",
"90",
"92",
"93",
"96",
"99",
"100",
"102",
"104",
"105",
"108",
"111",
"112",
"114",
"116",
"117",
"120",
"123",
"124",
"126",
"128",
"129",
"132",
"135"
]
| [
"nonn"
]
| 23 | 1 | 1 | [
"A008585",
"A008586",
"A070204",
"A120062",
"A120570",
"A362669",
"A362670"
]
| null | Bernard Schott, May 05 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362670.seq | 243e61a10a03f427b5eee83f45f97a30 |
A362671 | E.g.f. satisfies A(x) = exp( x * exp(x) / A(x)^2 ). | [
"1",
"1",
"-1",
"10",
"-111",
"1716",
"-33755",
"807738",
"-22782207",
"740204776",
"-27226430739",
"1118416240470",
"-50750734988063",
"2521219487859372",
"-136098630522431499",
"7932551567421395866",
"-496501182232557828735",
"33214032504796887027408"
]
| [
"sign"
]
| 10 | 0 | 4 | [
"A273954",
"A360473",
"A362656",
"A362671",
"A362672"
]
| null | Seiichi Manyama, Apr 29 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362671.seq | 3b3f132522ffd353a4b95c78994c3a4a |
A362672 | E.g.f. satisfies A(x) = exp( x * exp(x) / A(x)^3 ). | [
"1",
"1",
"-3",
"37",
"-679",
"17161",
"-553451",
"21731053",
"-1006118863",
"53671172113",
"-3241671266899",
"218677223408821",
"-16296163119155063",
"1329568681331536153",
"-117874745761237043515",
"11283758432396431997821",
"-1159952212029532257663391",
"127445385808282289840496673"
]
| [
"sign"
]
| 10 | 0 | 3 | [
"A273954",
"A360473",
"A362656",
"A362671",
"A362672"
]
| null | Seiichi Manyama, Apr 29 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362672.seq | fe37b9eb68ab25ea5a9a775cb923d97a |
A362673 | E.g.f. satisfies A(x) = exp( x * exp(x^2) / A(x) ). | [
"1",
"1",
"-1",
"10",
"-51",
"556",
"-7085",
"116376",
"-2263303",
"51072400",
"-1308626649",
"37526799520",
"-1190440709051",
"41385630158016",
"-1564585725985477",
"63903022429837696",
"-2804097015221308815",
"131558782973452677376",
"-6571623885587502740657"
]
| [
"sign"
]
| 12 | 0 | 4 | [
"A362673",
"A362674"
]
| null | Seiichi Manyama, Apr 29 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362673.seq | 22d2ae1402725f70a8d2e4724d4505d5 |
A362674 | E.g.f. satisfies A(x) = exp( x * exp(x^3) / A(x) ). | [
"1",
"1",
"-1",
"4",
"-3",
"136",
"-1685",
"26496",
"-433783",
"8415856",
"-184328649",
"4515376240",
"-121983339731",
"3605788384056",
"-115769790754813",
"4012378854562456",
"-149305859447213295",
"5937271828722146656",
"-251273782851599681297",
"11276632158754470014304"
]
| [
"sign"
]
| 10 | 0 | 4 | [
"A362673",
"A362674"
]
| null | Seiichi Manyama, Apr 29 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362674.seq | e9e8d314068eac2623ccb3eb54b9dd9c |
A362675 | Smallest number sharing n distinct (decimal) digits with its largest proper divisor. | [
"11",
"125",
"1025",
"3105",
"37125",
"251748",
"2051748",
"20491578",
"204713568",
"2046913578"
]
| [
"nonn",
"fini",
"full",
"base"
]
| 21 | 1 | 1 | [
"A032742",
"A357929",
"A358076",
"A362675"
]
| null | Wesley Ivan Hurt, Apr 29 2023 | 2023-05-02T23:59:39 | oeisdata/seq/A362/A362675.seq | 409bd5268392523ce9affd3a14b69f37 |
A362676 | a(n) = Sum_{k = 0..n} 4^(n-k)*binomial(n,k)*binomial(n-1,k)*binomial(2*k,k). | [
"1",
"4",
"32",
"328",
"3840",
"48504",
"641984",
"8765712",
"122370048",
"1736921560",
"24975268032",
"362872728816",
"5317470233088",
"78479369810352",
"1165299414952320",
"17393306836535328",
"260791399517110272",
"3925811865435871896",
"59305018671515758784"
]
| [
"nonn",
"easy"
]
| 46 | 0 | 2 | [
"A000172",
"A002895",
"A081085",
"A362676",
"A363985",
"A363990",
"A364111"
]
| null | Peter Bala, Jul 03 2023 | 2023-07-21T10:07:35 | oeisdata/seq/A362/A362676.seq | 21b6cf05496a0cc81375e8da87d5e4e7 |
A362677 | Primes whose reversal + 1 is a cube. | [
"7",
"421",
"827",
"4733",
"32831",
"57571",
"228301",
"364751",
"892079",
"1932677",
"2256713",
"3684211",
"4213591",
"6751853",
"7218259",
"7887707",
"8497033",
"15720487",
"19925251",
"21055813",
"28756943",
"29547961",
"47369149",
"51881849",
"55033973",
"57954643",
"59677001",
"63062963",
"74415157",
"88535987"
]
| [
"base",
"nonn",
"easy"
]
| 44 | 1 | 1 | [
"A007488",
"A167217",
"A362677"
]
| null | Zhining Yang, Jul 03 2023 | 2025-04-03T11:11:36 | oeisdata/seq/A362/A362677.seq | aa501dcda827a9dd1fd9f78b166f29d7 |
A362678 | Primes whose digits are prime and in nondecreasing order. | [
"2",
"3",
"5",
"7",
"23",
"37",
"223",
"227",
"233",
"257",
"277",
"337",
"557",
"577",
"2237",
"2333",
"2357",
"2377",
"2557",
"2777",
"3557",
"5557",
"22277",
"22777",
"23333",
"23357",
"23557",
"25577",
"33377",
"33577",
"222337",
"222557",
"223337",
"223577",
"233357",
"233557",
"233777",
"235577",
"333337",
"335557",
"355777"
]
| [
"nonn",
"base"
]
| 50 | 1 | 1 | [
"A009994",
"A019546",
"A177061",
"A362678"
]
| null | James C. McMahon, Jul 03 2023 | 2023-08-08T17:50:24 | oeisdata/seq/A362/A362678.seq | b9f17b680414676524b6eb49acfae5a3 |
A362679 | a(n) is the permanent of the n X n symmetric matrix M(n) defined by M[i, j, n] = min(i, j)*(n + 1) - i*j. | [
"1",
"1",
"5",
"72",
"2309",
"140400",
"14495641",
"2347782144",
"562385930985",
"190398813728000",
"87889475202276461",
"53726132414026874880",
"42454821207656237294381",
"42495322215073539046387712",
"52954624815227996007075890625",
"80932107560443542398970529579008",
"149736953621087625813286348913927569"
]
| [
"nonn"
]
| 37 | 0 | 3 | [
"A000272",
"A000292",
"A002415",
"A003983",
"A003991",
"A005993",
"A106314",
"A107985",
"A362679"
]
| null | Stefano Spezia, Apr 29 2023 | 2023-05-25T07:12:04 | oeisdata/seq/A362/A362679.seq | be7876284d14750ee060c13468b61a21 |
A362680 | a(n) is the number of decimal digits in A173426(n). | [
"1",
"3",
"5",
"7",
"9",
"11",
"13",
"15",
"17",
"20",
"24",
"28",
"32",
"36",
"40",
"44",
"48",
"52",
"56",
"60",
"64",
"68",
"72",
"76",
"80",
"84",
"88",
"92",
"96",
"100",
"104",
"108",
"112",
"116",
"120",
"124",
"128",
"132",
"136",
"140",
"144",
"148",
"152",
"156",
"160",
"164",
"168",
"172",
"176",
"180",
"184",
"188",
"192",
"196",
"200",
"204",
"208",
"212",
"216",
"220",
"224",
"228",
"232"
]
| [
"nonn",
"base",
"easy"
]
| 38 | 1 | 2 | [
"A055642",
"A058183",
"A173426",
"A362680"
]
| null | David Cleaver, Apr 29 2023 | 2025-04-17T01:57:48 | oeisdata/seq/A362/A362680.seq | 7fedc39a8cc55af27519b644e50f07e9 |
A362681 | The number of steps, starting from n, to reach x<=2 in an iteration x <- 2x - {sum of proper factors of 2x}. | [
"0",
"0",
"1",
"1",
"2",
"1",
"3",
"1",
"1",
"1",
"2",
"1",
"3",
"1",
"1",
"1",
"2",
"1",
"3",
"1",
"1",
"3",
"2",
"1",
"2",
"4",
"1",
"1",
"2",
"1",
"3",
"1",
"1",
"3",
"1",
"1",
"2",
"4",
"1",
"1",
"2",
"1",
"3",
"1",
"1",
"3",
"2",
"1",
"5",
"1",
"1",
"1",
"2",
"1",
"3",
"1",
"1",
"3",
"2",
"1",
"3",
"3",
"1",
"1",
"2",
"1",
"3",
"2",
"1",
"1",
"2",
"1",
"3",
"4",
"1",
"3",
"2",
"1",
"3",
"1",
"1",
"2",
"2",
"1",
"3",
"3",
"1",
"1"
]
| [
"nonn",
"easy"
]
| 38 | 1 | 5 | [
"A005101",
"A157449",
"A362681",
"A362684"
]
| null | Kevin L. Schwartz and Christian N. K. Anderson, May 01 2023 | 2023-05-09T22:29:07 | oeisdata/seq/A362/A362681.seq | 4fe41be8bf665587f3dc434a7944a718 |
A362682 | Expansion of e.g.f. exp(-LambertW(-x))/(1+x). | [
"1",
"0",
"3",
"7",
"97",
"811",
"11941",
"178557",
"3354513",
"69809383",
"1659853861",
"43658971753",
"1268252733001",
"40206626846283",
"1383302292511413",
"51308059650256741",
"2041494097105707937",
"86734131445797216847",
"3919172491760452282693",
"187679722656551406628833"
]
| [
"nonn",
"easy"
]
| 15 | 0 | 3 | [
"A102743",
"A277509",
"A362682"
]
| null | Seiichi Manyama, May 01 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362682.seq | 914201f815221a64f508e036ee5447fa |
A362683 | Expansion of Sum_{k>0} (1/(1 - k*x^k)^2 - 1). | [
"2",
"7",
"10",
"25",
"16",
"78",
"22",
"153",
"136",
"298",
"34",
"1254",
"40",
"1214",
"2004",
"3825",
"52",
"11385",
"58",
"20894",
"18932",
"25006",
"70",
"150002",
"18826",
"115274",
"199828",
"389510",
"88",
"1334624",
"94",
"1725281",
"2131188",
"2360266",
"725948",
"14878299",
"112",
"10486958",
"22329428",
"37317986",
"124",
"120957336",
"130"
]
| [
"nonn"
]
| 47 | 1 | 1 | [
"A007503",
"A055225",
"A338662",
"A359103",
"A362683",
"A363639",
"A363640",
"A363646"
]
| null | Seiichi Manyama, Jun 13 2023 | 2023-07-17T00:59:27 | oeisdata/seq/A362/A362683.seq | 4bc960dd295bde5e9a522219b4f14ccf |
A362684 | a(n) is the index at which n first occurs in A362681. | [
"1",
"3",
"5",
"7",
"26",
"49",
"632",
"1682"
]
| [
"nonn",
"hard",
"more"
]
| 35 | 0 | 2 | [
"A048133",
"A157449",
"A362681",
"A362684"
]
| null | Kevin L. Schwartz and Christian N. K. Anderson, May 01 2023 | 2023-10-11T08:43:26 | oeisdata/seq/A362/A362684.seq | d7fcb10695487c7647491db1fe4fbabb |
A362685 | Triangle of numbers read by rows, T(n, k) = (n*(n-1))*Stirling2(k, 2), for n >= 1 and 1 <= k <= n. | [
"0",
"0",
"2",
"0",
"6",
"18",
"0",
"12",
"36",
"84",
"0",
"20",
"60",
"140",
"300",
"0",
"30",
"90",
"210",
"450",
"930",
"0",
"42",
"126",
"294",
"630",
"1302",
"2646",
"0",
"56",
"168",
"392",
"840",
"1736",
"3528",
"7112",
"0",
"72",
"216",
"504",
"1080",
"2232",
"4536",
"9144",
"18360",
"0",
"90",
"270",
"630",
"1350",
"2790",
"5670",
"11430",
"22950",
"45990"
]
| [
"nonn",
"tabl"
]
| 64 | 1 | 3 | [
"A002024",
"A068605",
"A362685"
]
| null | Igor Victorovich Statsenko, May 01 2023 | 2025-06-21T11:21:03 | oeisdata/seq/A362/A362685.seq | ccd861a00ce6672dbf5d721c5b7729a4 |
A362686 | Binomial(n+p, n) mod n where p=6. | [
"0",
"0",
"0",
"2",
"2",
"0",
"1",
"3",
"1",
"8",
"1",
"0",
"1",
"8",
"9",
"5",
"1",
"10",
"1",
"10",
"15",
"12",
"1",
"15",
"6",
"14",
"1",
"8",
"1",
"12",
"1",
"9",
"12",
"18",
"8",
"10",
"1",
"20",
"27",
"19",
"1",
"36",
"1",
"12",
"10",
"24",
"1",
"45",
"1",
"36",
"18",
"14",
"1",
"28",
"12",
"15",
"39",
"30",
"1",
"48",
"1",
"32",
"1",
"17",
"14",
"12",
"1",
"18",
"24",
"50",
"1",
"19",
"1",
"38"
]
| [
"nonn"
]
| 5 | 1 | 4 | [
"A000040",
"A038509",
"A133620",
"A133625",
"A133630",
"A133634",
"A133636",
"A133875",
"A133880",
"A133885",
"A133890",
"A133900",
"A133910",
"A362686",
"A362687",
"A362688",
"A362689"
]
| null | Ray Chandler, Apr 29 2023 | 2023-04-29T20:49:36 | oeisdata/seq/A362/A362686.seq | 22a984497e0ce582b5d00bfe5941b3c3 |
A362687 | Binomial(n+p, n) mod n where p=7. | [
"0",
"0",
"0",
"2",
"2",
"0",
"2",
"3",
"1",
"8",
"1",
"0",
"1",
"10",
"9",
"5",
"1",
"10",
"1",
"10",
"18",
"12",
"1",
"15",
"6",
"14",
"1",
"12",
"1",
"12",
"1",
"9",
"12",
"18",
"13",
"10",
"1",
"20",
"27",
"19",
"1",
"0",
"1",
"12",
"10",
"24",
"1",
"45",
"8",
"36",
"18",
"14",
"1",
"28",
"12",
"23",
"39",
"30",
"1",
"48",
"1",
"32",
"10",
"17",
"14",
"12",
"1",
"18",
"24",
"60",
"1",
"19",
"1"
]
| [
"nonn"
]
| 4 | 1 | 4 | [
"A000040",
"A038509",
"A133620",
"A133625",
"A133630",
"A133634",
"A133636",
"A133875",
"A133880",
"A133885",
"A133890",
"A133900",
"A133910",
"A362686",
"A362687",
"A362688",
"A362689"
]
| null | Ray Chandler, Apr 29 2023 | 2023-04-29T20:50:58 | oeisdata/seq/A362/A362687.seq | 548004e66e31bf4b85ee20e2a0f5b3d7 |
A362688 | Binomial(n+p, n) mod n where p=8. | [
"0",
"1",
"0",
"3",
"2",
"3",
"2",
"6",
"1",
"8",
"1",
"6",
"1",
"10",
"9",
"15",
"1",
"1",
"1",
"5",
"18",
"1",
"1",
"12",
"6",
"14",
"1",
"12",
"1",
"12",
"1",
"13",
"12",
"1",
"13",
"19",
"1",
"1",
"27",
"34",
"1",
"0",
"1",
"34",
"10",
"24",
"1",
"27",
"8",
"11",
"18",
"1",
"1",
"1",
"12",
"16",
"39",
"30",
"1",
"48",
"1",
"32",
"10",
"25",
"14",
"45",
"1",
"35",
"24",
"25",
"1",
"46",
"1",
"38",
"66"
]
| [
"nonn"
]
| 4 | 1 | 4 | [
"A000040",
"A038509",
"A133620",
"A133625",
"A133630",
"A133634",
"A133636",
"A133875",
"A133880",
"A133885",
"A133890",
"A133900",
"A133910",
"A362686",
"A362687",
"A362688",
"A362689"
]
| null | Ray Chandler, Apr 29 2023 | 2023-04-29T20:54:20 | oeisdata/seq/A362/A362688.seq | 0e9b1c3e4468793c131dd4d59d10a2a1 |
A362689 | Binomial(n+p, n) mod n where p=9. | [
"0",
"1",
"1",
"3",
"2",
"1",
"2",
"6",
"2",
"8",
"1",
"2",
"1",
"10",
"14",
"15",
"1",
"3",
"1",
"5",
"18",
"1",
"1",
"12",
"6",
"14",
"4",
"12",
"1",
"22",
"1",
"13",
"1",
"1",
"13",
"23",
"1",
"1",
"14",
"34",
"1",
"14",
"1",
"34",
"15",
"24",
"1",
"27",
"8",
"11",
"18",
"1",
"1",
"7",
"12",
"16",
"1",
"30",
"1",
"28",
"1",
"32",
"17",
"25",
"14",
"23",
"1",
"35",
"47",
"25",
"1",
"54",
"1",
"38",
"66"
]
| [
"nonn"
]
| 4 | 1 | 4 | [
"A000040",
"A038509",
"A133620",
"A133625",
"A133630",
"A133634",
"A133636",
"A133875",
"A133880",
"A133885",
"A133890",
"A133900",
"A133910",
"A362686",
"A362687",
"A362688",
"A362689"
]
| null | Ray Chandler, Apr 29 2023 | 2023-04-29T20:55:32 | oeisdata/seq/A362/A362689.seq | 11df868798d4f456cc77b3c69cb098e7 |
A362690 | E.g.f. satisfies A(x) = exp(x^2 + x * A(x)). | [
"1",
"1",
"5",
"28",
"245",
"2816",
"40537",
"702976",
"14270153",
"332102656",
"8719631981",
"255020847104",
"8222803663549",
"289815184113664",
"11085650268060929",
"457386463819595776",
"20248713707077863953",
"957435459515190345728",
"48157934732749633188565"
]
| [
"nonn"
]
| 25 | 0 | 3 | [
"A125500",
"A138293",
"A349562",
"A362690",
"A362691",
"A362736"
]
| null | Seiichi Manyama, May 01 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362690.seq | d1b34d8d9a3de7c751ce7fdd779bd690 |
A362691 | E.g.f. satisfies A(x) = exp(x^3 + x * A(x)). | [
"1",
"1",
"3",
"22",
"173",
"1836",
"24847",
"403474",
"7667865",
"167097016",
"4108985531",
"112562882334",
"3399748630357",
"112246652293972",
"4022094151907847",
"155461592488721866",
"6447531477912609713",
"285606134199075271536",
"13458367778796518816755"
]
| [
"nonn"
]
| 21 | 0 | 3 | [
"A349562",
"A362690",
"A362691",
"A362737"
]
| null | Seiichi Manyama, May 01 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362691.seq | 06d30aacd99ff1281115448e1e082448 |
A362692 | Length of the "integer part" of the phi-expansion of n. | [
"1",
"1",
"2",
"3",
"3",
"4",
"4",
"5",
"5",
"5",
"5",
"5",
"6",
"6",
"6",
"6",
"6",
"6",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"10",
"10",
"10",
"10",
"10",
"10",
"10"
]
| [
"nonn"
]
| 38 | 0 | 3 | [
"A001622",
"A105424",
"A341722",
"A362692",
"A362716",
"A362872",
"A362917"
]
| null | Jeffrey Shallit, May 01 2023 | 2025-01-05T19:51:42 | oeisdata/seq/A362/A362692.seq | 0e69c597c83d75cffa7a7439aff4c04e |
A362693 | E.g.f. satisfies A(x) = exp(x + x / A(x)). | [
"1",
"2",
"0",
"8",
"-64",
"832",
"-13568",
"269824",
"-6328320",
"171044864",
"-5235245056",
"178988498944",
"-6760886435840",
"279614956503040",
"-12566949343002624",
"609881495812702208",
"-31785828867471572992",
"1770660964785178279936",
"-104990165030126886060032"
]
| [
"sign"
]
| 26 | 0 | 2 | [
"A349562",
"A349719",
"A362693",
"A362694",
"A362734",
"A362735",
"A362736",
"A362737"
]
| null | Seiichi Manyama, May 01 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362693.seq | 7930d3c6ff9daa36f7be23fcca38a190 |
A362694 | E.g.f. satisfies A(x) = exp(x + x * A(x)^2). | [
"1",
"2",
"12",
"152",
"2960",
"78112",
"2607808",
"105432448",
"5008584960",
"273482293760",
"16878251101184",
"1161918967060480",
"88277165100666880",
"7337286679766179840",
"662287143981044121600",
"64516370031367063175168",
"6746443728505612426870784",
"753763691778003738319519744"
]
| [
"nonn"
]
| 30 | 0 | 2 | [
"A143768",
"A202617",
"A349562",
"A362693",
"A362694",
"A362734",
"A362735"
]
| null | Seiichi Manyama, May 01 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362694.seq | b29ee3712d003c65d54aad6c0f2a7987 |
A362695 | Decimal expansion of (3 - sqrt(3))/4. | [
"3",
"1",
"6",
"9",
"8",
"7",
"2",
"9",
"8",
"1",
"0",
"7",
"7",
"8",
"0",
"6",
"7",
"6",
"6",
"1",
"8",
"1",
"3",
"8",
"4",
"1",
"4",
"6",
"2",
"3",
"5",
"3",
"1",
"9",
"0",
"8",
"2",
"6",
"4",
"2",
"9",
"8",
"6",
"8",
"6",
"5",
"4",
"7",
"4",
"0",
"4",
"8",
"4",
"2",
"9",
"8",
"6",
"0",
"4",
"8",
"2",
"5",
"5",
"1",
"3",
"7",
"0",
"1",
"6",
"7",
"4",
"5",
"7",
"7",
"2",
"7",
"9",
"9",
"9",
"9",
"0",
"7",
"2",
"9",
"7",
"1",
"3"
]
| [
"nonn",
"cons"
]
| 17 | 0 | 1 | [
"A334843",
"A362695"
]
| null | Jodi Spitz, Apr 29 2023 | 2023-06-25T01:56:29 | oeisdata/seq/A362/A362695.seq | 150694f8a1132f6a09121bb199cd393c |
A362696 | Expansion of e.g.f. Product_{k>0} (1 - x^(3*k-2))^(-1/(3*k-2)). | [
"1",
"1",
"2",
"6",
"30",
"150",
"900",
"7020",
"62460",
"562140",
"5984280",
"67252680",
"863165160",
"11700148680",
"173098134000",
"2625661170000",
"45310413258000",
"782198417206800",
"14310269286746400",
"280333959468789600",
"6002139207488767200",
"129820528515538159200",
"2934651197018947982400"
]
| [
"nonn"
]
| 42 | 0 | 3 | [
"A001817",
"A035382",
"A206303",
"A262947",
"A362696",
"A362697"
]
| null | Seiichi Manyama, Jul 07 2023 | 2023-07-07T14:57:04 | oeisdata/seq/A362/A362696.seq | 0cd5d34aaaf9e1334c5cf2b2c704255b |
A362697 | Expansion of e.g.f. Product_{k>0} (1 - x^(3*k-1))^(-1/(3*k-1)). | [
"1",
"0",
"1",
"0",
"9",
"24",
"225",
"504",
"16065",
"27216",
"1555281",
"6123600",
"159249321",
"779262120",
"31816914129",
"240363179784",
"8207359913025",
"66059979227424",
"2145292484152545",
"19782668403572256",
"1015331126023222281",
"7961977144683689400",
"454920488042137314561"
]
| [
"nonn"
]
| 43 | 0 | 5 | [
"A001822",
"A035386",
"A206303",
"A262946",
"A362696",
"A362697"
]
| null | Seiichi Manyama, Jul 07 2023 | 2023-07-07T14:57:00 | oeisdata/seq/A362/A362697.seq | 9d12bea8c49051a862f7e181e4dfa5b3 |
A362698 | For n > 1, if n appears in the sequence, a(n) = a(n-1) - n if nonnegative and not already in the sequence, otherwise a(n) = a(n-1) + n. Otherwise a(n+1) = a(n)/(n+1) if (n+1)|a(n), otherwise a(n)*(n+1), a(1) = 1 and a(2) = 1*2. | [
"1",
"2",
"6",
"24",
"120",
"114",
"798",
"6384",
"57456",
"574560",
"6320160",
"526680",
"6846840",
"489060",
"32604",
"521664",
"8868288",
"159629184",
"8401536",
"168030720",
"3528645120",
"160392960",
"3689038080",
"3689038056",
"92225951400",
"2397874736400",
"64742617882800",
"1812793300718400",
"52571005720833600"
]
| [
"nonn"
]
| 29 | 1 | 2 | [
"A008336",
"A340612",
"A362332",
"A362698"
]
| null | Kelvin Voskuijl, Jul 07 2023 | 2023-09-06T20:58:44 | oeisdata/seq/A362/A362698.seq | 8d95670b4c2fe119e17b5c2e472c5907 |
A362699 | Expansion of e.g.f. 1/(1 + LambertW(-x * exp(x^3))). | [
"1",
"1",
"4",
"27",
"280",
"3605",
"56376",
"1041103",
"22188496",
"535856553",
"14460919120",
"431287416131",
"14087063106216",
"500112706900573",
"19174548699128200",
"789598137339356535",
"34757031591555021856",
"1628640121039415039057",
"80938770039259919191584"
]
| [
"nonn",
"easy"
]
| 9 | 0 | 3 | [
"A072034",
"A362604",
"A362699"
]
| null | Seiichi Manyama, Apr 30 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362699.seq | 3e72f541260f86922f4bd853e23f2270 |
A362700 | Expansion of e.g.f. 1/(1 + LambertW(-x * exp(x^2/2))). | [
"1",
"1",
"4",
"30",
"304",
"3950",
"62736",
"1177288",
"25489024",
"625404060",
"17149867840",
"519779815016",
"17253698140416",
"622521514670536",
"24257636227003648",
"1015256151136695840",
"45421939756667293696",
"2163253599528596482832",
"109270502354027312243712"
]
| [
"nonn"
]
| 9 | 0 | 3 | [
"A072034",
"A362700",
"A362701"
]
| null | Seiichi Manyama, Apr 30 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362700.seq | f1cd4dcc98c4e9bc93df165fcb4bc65c |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.