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| offset_a
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666,262,453B
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635M
⌀ | cross_references
listlengths 1
128
⌀ | former_ids
listlengths 1
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231
⌀ | timestamp
timestamp[us]date 1999-12-11 03:00:00
2025-04-28 00:58:08
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stringlengths 29
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|---|---|---|---|---|---|---|---|---|---|---|---|---|
A360801 | Expansion of Sum_{k>0} (x / (1 - 2 * x^k))^k. | [
"1",
"3",
"5",
"13",
"17",
"51",
"65",
"169",
"281",
"603",
"1025",
"2373",
"4097",
"8655",
"16685",
"33969",
"65537",
"134151",
"262145",
"530269",
"1050481",
"2108439",
"4194305",
"8420201",
"16778337",
"33607707",
"67120565",
"134338493",
"268435457",
"537151131",
"1073741825",
"2148024289",
"4295035145",
"8591048739"
]
| [
"nonn"
]
| 15 | 1 | 2 | [
"A157019",
"A217670",
"A324158",
"A360801"
]
| null | Seiichi Manyama, Feb 21 2023 | 2023-08-02T02:00:12 | oeisdata/seq/A360/A360801.seq | 252599cd6dad2301a88b97f12737a4e5 |
A360802 | Expansion of Sum_{k>0} (x / (1 - (2 * x)^k))^k. | [
"1",
"3",
"5",
"17",
"17",
"105",
"65",
"449",
"641",
"1953",
"1025",
"16257",
"4097",
"37761",
"93185",
"247809",
"65537",
"1499649",
"262145",
"6596609",
"8847361",
"13654017",
"4194305",
"210026497",
"90177537",
"251764737",
"833880065",
"2659418113",
"268435457",
"18345328641",
"1073741825",
"53553922049",
"75438751745"
]
| [
"nonn"
]
| 14 | 1 | 2 | [
"A157019",
"A339481",
"A360802"
]
| null | Seiichi Manyama, Feb 21 2023 | 2023-08-02T02:00:15 | oeisdata/seq/A360/A360802.seq | b35c89f616f796138514f8a67226b9de |
A360803 | Numbers whose squares have a digit average of 8 or more. | [
"3",
"313",
"94863",
"298327",
"987917",
"3162083",
"9893887",
"29983327",
"99477133",
"99483667",
"197483417",
"282753937",
"314623583",
"315432874",
"706399164",
"773303937",
"894303633",
"947047833",
"948675387",
"989938887",
"994927133",
"994987437",
"998398167",
"2428989417",
"2754991833",
"2983284917",
"2999833327"
]
| [
"nonn",
"base"
]
| 31 | 1 | 1 | [
"A004159",
"A164772",
"A164841",
"A185679",
"A360803"
]
| null | Dmitry Kamenetsky, Feb 21 2023 | 2023-04-23T22:47:38 | oeisdata/seq/A360/A360803.seq | c9685bd3d17aaff20a9d02df12dd7741 |
A360804 | Number of ways to tile an n X n square using rectangles with distinct areas. | [
"1",
"1",
"21",
"253",
"2401",
"36237",
"815929",
"18713197"
]
| [
"nonn",
"more"
]
| 10 | 1 | 3 | [
"A004003",
"A182275",
"A360256",
"A360498",
"A360499",
"A360725",
"A360773",
"A360804"
]
| null | Scott R. Shannon, Feb 21 2023 | 2023-02-25T08:33:02 | oeisdata/seq/A360/A360804.seq | dcfe3172eb0d0d0d9a0e7be4532e5a8e |
A360805 | Nonnegative integers k such that k! mod nextprime(k) is larger than k. | [
"0",
"31",
"120",
"283",
"293",
"712",
"2872",
"3287",
"5028",
"5129",
"7088",
"9553",
"13229",
"14232",
"14799",
"15113",
"20153",
"20830",
"23239",
"30233",
"31430",
"31667",
"34443",
"40654",
"44298",
"50184",
"78877",
"105834",
"115281",
"125120",
"164253",
"192103",
"201590",
"227747",
"239910",
"241910",
"282230",
"322550",
"374370"
]
| [
"nonn"
]
| 41 | 1 | 2 | [
"A000142",
"A007978",
"A151800",
"A360805",
"A360825"
]
| null | Alois P. Heinz, Feb 22 2023 | 2023-03-10T10:36:18 | oeisdata/seq/A360/A360805.seq | f75eae2a62d9133b2a1277752c89b365 |
A360806 | a(0) = 1; for n >= 1, a(n) is the least integer k > a(n-1) such that k / A000005(k) = a(n-1). | [
"1",
"2",
"8",
"80",
"2240",
"215040",
"77414400",
"61931520000",
"170930995200000",
"1340099002368000000"
]
| [
"nonn",
"more"
]
| 13 | 0 | 2 | [
"A000005",
"A033950",
"A360806"
]
| null | Ctibor O. Zizka, Feb 21 2023 | 2023-03-14T10:14:44 | oeisdata/seq/A360/A360806.seq | 84b1894c14eaaacc4a1cabe0a0b4be6b |
A360807 | Decimal expansion of Sum_{m>=1} 1/(1/4 + z(m)^2) where z(m) is the imaginary part of the m-th nontrivial zero of the Dirichlet beta function whose real part is 1/2. | [
"0",
"7",
"7",
"7",
"8",
"3",
"9",
"8",
"9",
"9",
"6",
"1",
"7",
"9",
"2",
"9",
"6",
"4",
"4",
"3",
"1",
"0",
"7",
"9",
"0",
"2",
"6",
"9",
"1",
"9",
"5",
"0",
"8",
"5",
"1",
"5",
"1",
"6",
"4",
"3",
"0",
"6",
"8",
"4",
"2",
"8",
"8",
"7",
"5",
"6",
"4",
"2",
"8",
"8",
"5",
"4",
"9",
"0",
"3",
"3",
"2",
"3",
"4",
"4",
"6",
"7",
"1",
"1",
"4",
"1",
"0",
"3",
"3",
"0",
"7",
"1",
"8",
"6",
"3",
"3",
"6",
"8",
"8",
"0",
"8",
"2",
"6"
]
| [
"nonn",
"cons"
]
| 32 | 0 | 2 | [
"A013629",
"A074760",
"A104539",
"A104540",
"A104541",
"A104542",
"A245275",
"A245276",
"A306339",
"A306340",
"A306341",
"A332645",
"A333360",
"A360807"
]
| null | Artur Jasinski, Feb 21 2023 | 2025-03-25T02:29:06 | oeisdata/seq/A360/A360807.seq | e725c1dc78dca53dd8f8ffa67b18636d |
A360808 | Number of double cosets of the Sylow 2-subgroup of the symmetric group S_n. | [
"1",
"1",
"2",
"2",
"4",
"8",
"35",
"16",
"51",
"145",
"1112",
"1145",
"10929",
"41400",
"542785",
"40384",
"583169",
"2781808",
"48558706",
"65461347",
"1277941540",
"7370563251",
"159694747220",
"63387056365",
"1500631724572",
"10152855622657"
]
| [
"nonn",
"more"
]
| 20 | 1 | 3 | null | null | Richard Stanley, Feb 21 2023 | 2025-04-05T10:52:11 | oeisdata/seq/A360/A360808.seq | 0a59e2f96e61f6f67c46c75bf3d008bb |
A360809 | Decimal expansion of the area under the curve of the reciprocal of the Luschny factorial function from zero to infinity. | [
"2",
"5",
"8",
"6",
"7",
"0",
"5",
"0",
"5",
"9",
"7",
"8",
"6",
"8",
"0",
"8",
"2",
"2",
"7",
"7",
"7",
"8",
"1",
"0",
"6",
"8",
"7",
"2",
"9",
"4",
"6",
"9",
"6",
"0",
"2",
"1",
"3",
"5",
"7",
"3",
"0",
"9",
"6",
"2",
"7",
"4",
"2",
"4",
"8",
"9",
"3",
"6",
"1",
"2",
"4",
"4",
"6",
"7",
"0",
"8",
"2",
"4",
"2",
"2",
"5",
"8",
"5",
"9",
"4",
"0",
"4",
"5",
"5",
"6",
"0",
"6",
"6",
"4",
"3",
"4",
"2",
"6",
"4",
"2",
"8",
"8",
"2",
"7",
"7",
"7",
"5",
"6",
"7",
"5",
"3",
"9",
"0",
"8",
"8",
"7",
"6",
"4",
"4",
"6",
"9",
"9",
"8",
"1"
]
| [
"nonn",
"cons"
]
| 18 | 1 | 1 | [
"A058655",
"A360375",
"A360809"
]
| null | Hywel Normington, Feb 21 2023 | 2023-02-24T04:49:05 | oeisdata/seq/A360/A360809.seq | 19bb2059c448d50b6e9685699b2d3264 |
A360810 | Expansion of Sum_{k>=0} ( x / (1 - k * x^2) )^k. | [
"1",
"1",
"1",
"2",
"5",
"11",
"29",
"81",
"229",
"696",
"2181",
"7045",
"23653",
"81433",
"288173",
"1046814",
"3887749",
"14768783",
"57275541",
"226462801",
"912443397",
"3741515804",
"15603500797",
"66134448329",
"284660214181",
"1243605590897",
"5511058189989",
"24760003963802",
"112726590916645"
]
| [
"nonn"
]
| 10 | 0 | 4 | [
"A324158",
"A360782",
"A360810"
]
| null | Seiichi Manyama, Feb 21 2023 | 2023-02-22T10:20:11 | oeisdata/seq/A360/A360810.seq | 8e1cb38d8c4375288c7f72cf62421609 |
A360811 | Expansion of Sum_{k>=0} ( x / (1 - k * x^3) )^k. | [
"1",
"1",
"1",
"1",
"2",
"5",
"10",
"18",
"38",
"91",
"211",
"472",
"1108",
"2754",
"6881",
"17101",
"43443",
"113565",
"300142",
"797191",
"2147414",
"5883976",
"16293712",
"45471429",
"128285353",
"366266188",
"1055534118",
"3066483484",
"8989837397",
"26602652605",
"79370560477",
"238606427241",
"722973445270"
]
| [
"nonn"
]
| 15 | 0 | 5 | [
"A324158",
"A360783",
"A360811"
]
| null | Seiichi Manyama, Feb 21 2023 | 2024-02-22T02:17:11 | oeisdata/seq/A360/A360811.seq | 68295c56dfc6d899e7f185b70a8c891b |
A360812 | Expansion of Sum_{k>=0} ( x / (1 - (k * x)^2) )^k. | [
"1",
"1",
"1",
"2",
"9",
"29",
"113",
"613",
"3033",
"17010",
"110929",
"713249",
"5061097",
"38762873",
"302389553",
"2544613578",
"22404995001",
"203762678941",
"1960880744337",
"19509713674397",
"201306862742217",
"2166901479447194",
"24018963506471921",
"275731857268608673",
"3271769647891351705"
]
| [
"nonn"
]
| 9 | 0 | 4 | [
"A339481",
"A360787",
"A360812"
]
| null | Seiichi Manyama, Feb 21 2023 | 2023-02-22T10:20:26 | oeisdata/seq/A360/A360812.seq | 6297e0f4b2ced04995f011f8f3d3bed9 |
A360813 | Expansion of Sum_{k>=0} ( x / (1 - (k * x)^3) )^k. | [
"1",
"1",
"1",
"1",
"2",
"17",
"82",
"258",
"818",
"5671",
"43363",
"240520",
"1183168",
"8547054",
"77831681",
"596258173",
"4031934111",
"33313129161",
"338733239446",
"3187239159511",
"27197807726066",
"260179611473044",
"2918973182685904",
"31820249821418229",
"324099587971865989"
]
| [
"nonn"
]
| 9 | 0 | 5 | [
"A339481",
"A360788",
"A360813"
]
| null | Seiichi Manyama, Feb 21 2023 | 2023-02-22T10:20:21 | oeisdata/seq/A360/A360813.seq | a98a98d21b969b83544cd67d55989194 |
A360814 | Expansion of Sum_{k>=0} x^(2*k) / (1 - k*x)^(k+1). | [
"1",
"0",
"1",
"2",
"4",
"10",
"30",
"98",
"338",
"1240",
"4877",
"20496",
"91213",
"426678",
"2090081",
"10702438",
"57193760",
"318283388",
"1840036058",
"11026424446",
"68370955450",
"438039068726",
"2896018310881",
"19733372875632",
"138418266287689",
"998363508783924",
"7396739279819185",
"56239695790595786"
]
| [
"nonn"
]
| 8 | 0 | 4 | [
"A360708",
"A360814"
]
| null | Seiichi Manyama, Feb 21 2023 | 2023-02-22T10:20:15 | oeisdata/seq/A360/A360814.seq | f28a217fcc419d2b463a47a995f75601 |
A360815 | Expansion of Sum_{k>=0} x^(3*k) / (1 - k*x)^(k+1). | [
"1",
"0",
"0",
"1",
"2",
"3",
"5",
"11",
"30",
"88",
"260",
"771",
"2343",
"7474",
"25380",
"91650",
"347988",
"1371873",
"5570173",
"23233703",
"99676434",
"440931977",
"2014619700",
"9506385864",
"46246356169",
"231348803925",
"1187212953132",
"6239006165820",
"33546182775824",
"184497923546700"
]
| [
"nonn"
]
| 10 | 0 | 5 | [
"A360709",
"A360815"
]
| null | Seiichi Manyama, Feb 21 2023 | 2023-02-22T10:19:58 | oeisdata/seq/A360/A360815.seq | 2de7100a5b4b82c9cbb5976e4fc0a301 |
A360816 | Expansion of Sum_{k>=0} (k*x)^(2*k) / (1 - k*x)^(k+1). | [
"1",
"0",
"1",
"2",
"19",
"100",
"1118",
"10034",
"134993",
"1715140",
"27589661",
"449763360",
"8522965956",
"168431719308",
"3698624353289",
"85523954588806",
"2142927489388319",
"56618555339223572",
"1596938935380604858",
"47399670488829289678",
"1487559109670284821841"
]
| [
"nonn"
]
| 14 | 0 | 4 | [
"A072034",
"A360814",
"A360816",
"A360817"
]
| null | Seiichi Manyama, Feb 21 2023 | 2024-01-09T08:46:33 | oeisdata/seq/A360/A360816.seq | 8146efec88123787386cfecfe923be1f |
A360817 | Expansion of Sum_{k>=0} (k*x)^(3*k) / (1 - k*x)^(k+1). | [
"1",
"0",
"0",
"1",
"2",
"3",
"68",
"389",
"1542",
"24810",
"251564",
"1814487",
"27520734",
"391640548",
"4295115396",
"69305652406",
"1221344986380",
"18207710383335",
"329699350020676",
"6759819628538561",
"126950556666301050",
"2624697847966227077",
"60825028694289947940",
"1365568620213461601924"
]
| [
"nonn"
]
| 14 | 0 | 5 | [
"A072034",
"A360815",
"A360816",
"A360817"
]
| null | Seiichi Manyama, Feb 21 2023 | 2024-01-09T08:46:29 | oeisdata/seq/A360/A360817.seq | fb24d1cdc62589606890d39702fbcfd2 |
A360818 | Expansion of Sum_{k>=0} ( (k*x)^2 / (1 - k*x) )^k. | [
"1",
"0",
"1",
"1",
"17",
"65",
"922",
"7074",
"106183",
"1248479",
"21144289",
"331763177",
"6441011484",
"124904347404",
"2773880604749",
"63538143151589",
"1600211849569585",
"42076439530000297",
"1189408501356380558",
"35214128238218917974",
"1106088535644470694779"
]
| [
"nonn"
]
| 10 | 0 | 5 | [
"A195242",
"A360708",
"A360818",
"A360819"
]
| null | Seiichi Manyama, Feb 21 2023 | 2023-02-22T10:19:45 | oeisdata/seq/A360/A360818.seq | a1033a4ff701151b53c312bbafcc4d6a |
A360819 | Expansion of Sum_{k>=0} ( (k*x)^3 / (1 - k*x) )^k. | [
"1",
"0",
"0",
"1",
"1",
"1",
"65",
"257",
"769",
"21732",
"182268",
"1075171",
"22120299",
"292415838",
"2784944366",
"52394511682",
"914813711338",
"12411977351379",
"240868108545883",
"5024364548461861",
"88977315031536205",
"1888119425325238979",
"44744897995532996819",
"971263427084750362992"
]
| [
"nonn"
]
| 11 | 0 | 7 | [
"A195242",
"A360709",
"A360818",
"A360819"
]
| null | Seiichi Manyama, Feb 21 2023 | 2023-02-22T10:19:35 | oeisdata/seq/A360/A360819.seq | 7aec8faf87523cfb5f1854b1914ee469 |
A360820 | a(n) = Sum_{k=0..n} binomial(n, k)*2^(n^2-k*(n-k)). | [
"1",
"4",
"48",
"1792",
"221184",
"98566144",
"173946175488",
"1281755680079872",
"39534286378918477824",
"5018464395368794081460224",
"2586745980900067184722499862528",
"5375203895735606878055792019528220672",
"44865714160227204455469409035569750630989824",
"1501355804811017489524770237231795462175548447391744"
]
| [
"nonn",
"easy"
]
| 12 | 0 | 2 | null | null | Paulius Dilkas, Feb 21 2023 | 2023-03-14T15:07:21 | oeisdata/seq/A360/A360820.seq | b7507c630624464d0361e6d982ef010f |
A360821 | Number of primes of the form k^2+1 between n^2 and 2*n^2 exclusive. | [
"0",
"1",
"1",
"1",
"1",
"1",
"0",
"1",
"1",
"2",
"1",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"3",
"3",
"2",
"2",
"2",
"2",
"1",
"2",
"1",
"1",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"1",
"1",
"2",
"3",
"2",
"2",
"2",
"2",
"2",
"2",
"3",
"3",
"3",
"3",
"3",
"3",
"4",
"4",
"3",
"3",
"2",
"2",
"2",
"3",
"3",
"3",
"3",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"3",
"3",
"3",
"4",
"4",
"4",
"4",
"4",
"5",
"5",
"5",
"5",
"5",
"6"
]
| [
"nonn"
]
| 17 | 1 | 10 | [
"A000290",
"A002496",
"A060715",
"A360821"
]
| null | Michel Lagneau, Feb 21 2023 | 2023-03-11T05:24:02 | oeisdata/seq/A360/A360821.seq | ec8e1d27e9436a795cb1b2de697de2b9 |
A360822 | Numbers whose squares have at most 2 digits less than 8. | [
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"13",
"14",
"17",
"22",
"23",
"27",
"28",
"29",
"30",
"31",
"33",
"43",
"53",
"63",
"67",
"77",
"83",
"91",
"93",
"94",
"97",
"99",
"141",
"167",
"173",
"197",
"283",
"293",
"297",
"298",
"303",
"313",
"314",
"316",
"447",
"583",
"707",
"767",
"833",
"836",
"917",
"943",
"947",
"1378",
"2917",
"2983",
"3033",
"5467",
"9417",
"9433",
"29983",
"31367",
"94863"
]
| [
"nonn",
"base"
]
| 24 | 1 | 2 | [
"A360803",
"A360822"
]
| null | Dmitry Kamenetsky, Feb 22 2023 | 2023-03-12T04:16:13 | oeisdata/seq/A360/A360822.seq | 704bad281eb58315dcfc1a7e4792c6e5 |
A360823 | Expansion of Sum_{k>0} k * x^k / (1 - k * x^k)^(k+1). | [
"1",
"4",
"6",
"20",
"10",
"96",
"14",
"256",
"288",
"650",
"22",
"4200",
"26",
"4004",
"11160",
"18784",
"34",
"70758",
"38",
"164140",
"196098",
"136664",
"46",
"1756728",
"393800",
"747890",
"3287844",
"5452076",
"58",
"22563060",
"62",
"31220032",
"50767926",
"20059286",
"41640130",
"391194396",
"74",
"99622016",
"725647728",
"1298396440"
]
| [
"nonn"
]
| 15 | 1 | 2 | [
"A338658",
"A360794",
"A360823",
"A360824"
]
| null | Seiichi Manyama, Feb 22 2023 | 2023-07-31T02:25:11 | oeisdata/seq/A360/A360823.seq | ceac362f445e91bdafe241d636701851 |
A360824 | Expansion of Sum_{k>0} (k * x)^k / (1 - k * x^k)^(k+1). | [
"1",
"6",
"30",
"284",
"3130",
"47082",
"823550",
"16782664",
"387422928",
"10000094720",
"285311670622",
"8916102486528",
"302875106592266",
"11112006871683606",
"437893890382576560",
"18446744074918103056",
"827240261886336764194",
"39346408075331452862196"
]
| [
"nonn"
]
| 16 | 1 | 2 | [
"A339712",
"A343574",
"A360823",
"A360824"
]
| null | Seiichi Manyama, Feb 22 2023 | 2023-07-31T02:25:14 | oeisdata/seq/A360/A360824.seq | 86c6170360e743deff9033b6262e519b |
A360825 | a(n) is the remainder after dividing n! by its least nondivisor. | [
"1",
"1",
"2",
"2",
"4",
"1",
"6",
"2",
"5",
"1",
"10",
"1",
"12",
"3",
"8",
"1",
"16",
"1",
"18",
"4",
"11",
"1",
"22",
"22",
"6",
"5",
"14",
"1",
"28",
"1",
"30",
"33",
"20",
"31",
"18",
"1",
"36",
"7",
"20",
"1",
"40",
"1",
"42",
"8",
"23",
"1",
"46",
"19",
"11",
"9",
"26",
"1",
"52",
"30",
"27",
"10",
"29",
"1",
"58",
"1",
"60",
"43",
"53",
"56",
"33",
"1",
"66",
"12",
"35",
"1",
"70",
"1",
"72",
"27",
"23"
]
| [
"nonn"
]
| 58 | 0 | 3 | [
"A000040",
"A000142",
"A006093",
"A040976",
"A151800",
"A213636",
"A275111",
"A360805",
"A360825"
]
| null | Sebastian F. Orellana, Feb 22 2023 | 2023-02-24T18:51:48 | oeisdata/seq/A360/A360825.seq | 94d48e81ab47b3134b37bd19b2f7154b |
A360826 | a(1) = 1, a(n) = (k+1)*(2*k+1), where k = Product_{i=1..n-1} a(i). | [
"1",
"6",
"91",
"597871",
"213122969971321411",
"9680343693975641657052402556458789711774336036960631"
]
| [
"nonn"
]
| 41 | 1 | 2 | [
"A000217",
"A000384",
"A004019",
"A034792",
"A115590",
"A360826"
]
| null | Ivan N. Ianakiev, Feb 22 2023 | 2025-03-25T10:17:45 | oeisdata/seq/A360/A360826.seq | 52237cdb5083dcd5bbe1cf7632d77b36 |
A360827 | Primes p, not safe primes, such that the smallest factor of (2^(p-1)-1) / 3 is equal to p. | [
"443",
"647",
"1847",
"2243",
"2687",
"2699",
"6263",
"6563",
"7487",
"7583",
"8627",
"8663",
"9419",
"9767",
"10223",
"11867",
"12323",
"13187",
"13907",
"14627",
"14723",
"14783",
"17747",
"17783",
"19739",
"20639",
"20807",
"21863",
"22307",
"23747",
"24107",
"24923",
"25127",
"26759",
"27983",
"29207",
"29819",
"30839",
"31247",
"32303",
"34403",
"34439"
]
| [
"nonn"
]
| 23 | 1 | 1 | [
"A005385",
"A359387",
"A360827"
]
| null | Alain Rocchelli, Feb 22 2023 | 2023-07-02T02:24:04 | oeisdata/seq/A360/A360827.seq | 6f3fee8a12e04a47f8c124f7a8355f84 |
A360828 | Decimal expansion of the ratio between the perimeter of the first Morley triangle of an isosceles right triangle and the perimeter of this isosceles right triangle. | [
"1",
"6",
"6",
"4",
"8",
"2",
"2",
"8",
"4",
"2",
"9",
"7",
"8",
"3",
"3",
"9",
"3",
"9",
"4",
"0",
"0",
"3",
"0",
"9",
"5",
"7",
"2",
"8",
"2",
"9",
"0",
"6",
"5",
"6",
"9",
"8",
"1",
"7",
"4",
"3",
"0",
"2",
"2",
"8",
"5",
"8",
"6",
"1",
"4",
"0",
"9",
"9",
"6",
"8",
"9",
"6",
"4",
"7",
"1",
"0",
"8",
"3",
"2",
"2",
"7",
"3",
"6",
"5",
"6",
"3",
"9",
"4",
"5",
"6",
"3",
"5",
"4",
"8",
"6",
"3",
"2",
"3",
"6",
"3",
"0",
"9",
"2",
"7",
"3",
"3",
"4",
"6",
"1",
"8",
"3",
"7",
"2",
"2",
"9",
"4"
]
| [
"nonn",
"cons"
]
| 39 | 0 | 2 | [
"A359837",
"A360828",
"A360829"
]
| null | Bernard Schott, Feb 28 2023 | 2025-02-05T10:05:59 | oeisdata/seq/A360/A360828.seq | 7596d137fb6bf65e28300ec99fe9b729 |
A360829 | Decimal expansion of the ratio between the area of the first Morley triangle of an isosceles right triangle and its area. | [
"3",
"1",
"0",
"8",
"8",
"9",
"1",
"3",
"2",
"4",
"5",
"5",
"3",
"5",
"2",
"6",
"3",
"6",
"7",
"3",
"0",
"3",
"1",
"0",
"9",
"7",
"6",
"3",
"5",
"2",
"7",
"6",
"6",
"4",
"2",
"1",
"4",
"9",
"9",
"0",
"9",
"1",
"9",
"4",
"1",
"6",
"8",
"1",
"6",
"6",
"0",
"9",
"9",
"0",
"9",
"7",
"6",
"6",
"2",
"2",
"1",
"4",
"0",
"4",
"0",
"8",
"8",
"2",
"7",
"7",
"9",
"5",
"9",
"0",
"4",
"0",
"0",
"0",
"6",
"4",
"8",
"9",
"2",
"0",
"0",
"5",
"8",
"2",
"6",
"8",
"2",
"5",
"1",
"8",
"5",
"0",
"0",
"7",
"4"
]
| [
"nonn",
"cons"
]
| 28 | -1 | 1 | [
"A359837",
"A360828",
"A360829"
]
| null | Bernard Schott, Mar 09 2023 | 2025-02-08T03:42:02 | oeisdata/seq/A360/A360829.seq | b815bc84a69a9b50a453cc7b102fea6e |
A360830 | Numbers that when concatenated with the natural numbers from 1 to N are divisible by the corresponding order number. | [
"1",
"3",
"6",
"42",
"84",
"252",
"2772",
"36036",
"612612",
"11639628",
"267711444",
"803134332",
"23290895628",
"722017764468",
"1444035528936",
"53429314570632",
"2190601897395912",
"94195881588024216",
"4427206434637138152",
"30990445042459967064"
]
| [
"nonn",
"base"
]
| 22 | 1 | 2 | [
"A285201",
"A286282",
"A360830"
]
| null | Rodolfo Kurchan, Feb 22 2023 | 2024-05-12T10:05:29 | oeisdata/seq/A360/A360830.seq | a39b2a9bfa22d8c31d2a75d8fd86604e |
A360831 | Expansion of Sum_{k>0} (k * x)^k / (1 - (k * x)^k)^(k+1). | [
"1",
"6",
"30",
"308",
"3130",
"49962",
"823550",
"17107464",
"387617328",
"10058609120",
"285311670622",
"8931600297696",
"302875106592266",
"11117432610599574",
"437894531752211760",
"18449277498826162192",
"827240261886336764194",
"39347911865350001626164"
]
| [
"nonn"
]
| 14 | 1 | 2 | [
"A338661",
"A343574",
"A360795",
"A360824",
"A360831"
]
| null | Seiichi Manyama, Feb 22 2023 | 2023-07-31T02:25:17 | oeisdata/seq/A360/A360831.seq | abdc0a6b889caeaaf44f67728758058f |
A360832 | Expansion of Sum_{k>=0} ( k * x / (1 - (k * x)^2) )^k. | [
"1",
"1",
"4",
"28",
"288",
"3855",
"63232",
"1227291",
"27511296",
"699389444",
"19880700928",
"624817997477",
"21512488648704",
"805233062024021",
"32556682898653184",
"1413981749074790444",
"65652661019642560512",
"3245240681196968168619",
"170146759140135777861632"
]
| [
"nonn"
]
| 12 | 0 | 3 | [
"A195242",
"A338661",
"A360810",
"A360832",
"A360833",
"A360834"
]
| null | Seiichi Manyama, Feb 22 2023 | 2023-02-23T07:36:51 | oeisdata/seq/A360/A360832.seq | 7470962b23da16d24fe79a30f2beace3 |
A360833 | Expansion of Sum_{k>=0} ( k * x / (1 - (k * x)^3) )^k. | [
"1",
"1",
"4",
"27",
"257",
"3189",
"48843",
"889080",
"18731109",
"448004763",
"11987812504",
"354763577414",
"11503684020051",
"405589341060930",
"15447798292502206",
"632069580794524857",
"27649951709582591394",
"1287748889361331630661",
"63616184683123273364961"
]
| [
"nonn"
]
| 11 | 0 | 3 | [
"A195242",
"A338661",
"A360811",
"A360832",
"A360833",
"A360835"
]
| null | Seiichi Manyama, Feb 22 2023 | 2023-02-23T07:37:00 | oeisdata/seq/A360/A360833.seq | 11504af55617531089333131220bb11e |
A360834 | Expansion of Sum_{k>=0} (k * x)^k / (1 - (k * x)^2)^(k+1). | [
"1",
"1",
"4",
"29",
"304",
"4100",
"67520",
"1314167",
"29520128",
"751658635",
"21393444864",
"673046604600",
"23192501108736",
"868730852002205",
"35145114836811776",
"1527192185786650417",
"70941146068492943360",
"3508043437942077557884",
"183989995827118805352448"
]
| [
"nonn"
]
| 13 | 0 | 3 | [
"A000045",
"A072034",
"A360782",
"A360787",
"A360834",
"A360835"
]
| null | Seiichi Manyama, Feb 22 2023 | 2023-02-23T07:37:07 | oeisdata/seq/A360/A360834.seq | 031c085483f5aba17d5d95905525ccc9 |
A360835 | Expansion of Sum_{k>=0} (k * x)^k / (1 - (k * x)^3)^(k+1). | [
"1",
"1",
"4",
"27",
"258",
"3221",
"49572",
"905466",
"19122502",
"458161191",
"12275530636",
"363646493044",
"11801356347294",
"416365459777150",
"15867258718677348",
"649548679156603983",
"28426564854590132236",
"1324406974148881529057",
"65448443631801436742052"
]
| [
"nonn"
]
| 13 | 0 | 3 | [
"A000930",
"A072034",
"A360783",
"A360788",
"A360834",
"A360835"
]
| null | Seiichi Manyama, Feb 22 2023 | 2023-02-23T07:37:12 | oeisdata/seq/A360/A360835.seq | df521c0c41b3c5fbed79b253f29d24ec |
A360836 | a(n) is the least n-gonal pyramidal number that is the sum of two or more consecutive nonzero n-gonal pyramidal numbers in more than one way. | [
"12880",
"18896570"
]
| [
"nonn",
"bref",
"more"
]
| 8 | 2 | 1 | [
"A080851",
"A360762",
"A360836"
]
| null | Ilya Gutkovskiy, Feb 23 2023 | 2025-02-16T08:34:04 | oeisdata/seq/A360/A360836.seq | dc5d47867a9b5c32ad0c548ef60febdf |
A360837 | a(n) is the least positive integer that can be expressed as the sum of one or more consecutive prime-indexed primes in exactly n ways. | [
"1",
"3",
"59",
"10079",
"744666",
"163710521"
]
| [
"nonn",
"hard",
"more"
]
| 9 | 0 | 2 | [
"A006450",
"A054859",
"A360837"
]
| null | Ilya Gutkovskiy, Feb 23 2023 | 2023-03-13T06:15:53 | oeisdata/seq/A360/A360837.seq | 05e8dc431e7687b8bf458822d22b0d46 |
A360838 | Numbers that are partial sums of both the even semiprimes and the odd semiprimes. | [
"0",
"62234",
"199370",
"180901724519001618",
"277270022439043481854"
]
| [
"nonn",
"more"
]
| 25 | 1 | 2 | [
"A046315",
"A100484",
"A360838"
]
| null | Zak Seidov and Robert Israel, Apr 10 2023 | 2024-03-15T11:34:44 | oeisdata/seq/A360/A360838.seq | 2b6b48bfaeaa00c75e80e7bcfcec2a22 |
A360839 | Number of minimal graphs of twin-width 2 on n unlabeled vertices. | [
"1",
"6",
"32",
"103",
"250",
"220"
]
| [
"nonn",
"more"
]
| 39 | 5 | 2 | null | null | Alex Meiburg, Feb 24 2023 | 2023-03-15T11:43:42 | oeisdata/seq/A360/A360839.seq | 6a0057260069cdece5af3e040939dde0 |
A360840 | 3-full numbers (A036966) sandwiched between twin primes. | [
"432",
"2592",
"139968",
"444528",
"472392",
"995328",
"3456000",
"5174928",
"6561000",
"10125000",
"15552000",
"15804072",
"17496000",
"25299648",
"28449792",
"37340352",
"54675000",
"63700992",
"85957848",
"88723728",
"99574272",
"120891312",
"144027072",
"169869312",
"177147000",
"197413632",
"253125000",
"259308000"
]
| [
"nonn"
]
| 15 | 1 | 1 | [
"A014574",
"A036966",
"A113839",
"A360840"
]
| null | Amiram Eldar, Feb 23 2023 | 2025-02-16T08:34:04 | oeisdata/seq/A360/A360840.seq | e584c3c8a6f2d75993acdedc2976bbc1 |
A360841 | 4-full numbers (A036967) sandwiched between twin primes. | [
"2592",
"139968",
"995328",
"37340352",
"63700992",
"99574272",
"169869312",
"414720000",
"1399680000",
"4076863488",
"10871635968",
"17714700000",
"22781250000",
"25312500000",
"35888419872",
"51840000000",
"82012500000",
"98802571392",
"135304020000",
"136136700000",
"170749797552",
"174960000000",
"196730062848"
]
| [
"nonn"
]
| 15 | 1 | 1 | [
"A014574",
"A036967",
"A113839",
"A360840",
"A360841"
]
| null | Amiram Eldar, Feb 23 2023 | 2025-02-16T08:34:04 | oeisdata/seq/A360/A360841.seq | 52b1e3956122e5f4a45d39c93f992b48 |
A360842 | 5-full numbers (A069492) sandwiched between twin primes. | [
"139968",
"995328",
"63700992",
"4076863488",
"17714700000",
"82012500000",
"98802571392",
"174960000000",
"445240556352",
"641194278912",
"889223142528",
"1059917571072",
"1594323000000",
"1663012435968",
"2348273369088",
"3333709317312",
"5717741400000",
"16260080320512",
"19144761127488",
"28697814000000"
]
| [
"nonn"
]
| 15 | 1 | 1 | [
"A014574",
"A069492",
"A113839",
"A360840",
"A360841",
"A360842"
]
| null | Amiram Eldar, Feb 23 2023 | 2025-02-16T08:34:04 | oeisdata/seq/A360/A360842.seq | ad3dcc87f7596a173ad93041a9772a2a |
A360843 | 6-full numbers (A069493) sandwiched between twin primes. | [
"139968",
"98802571392",
"174960000000",
"889223142528",
"1594323000000",
"2348273369088",
"19144761127488",
"28697814000000",
"56358560858112",
"84537841287168",
"150289495621632",
"186624000000000",
"328341017826432",
"369056250000000",
"392147405854848",
"578415690713088",
"597871125000000"
]
| [
"nonn"
]
| 15 | 1 | 1 | [
"A014574",
"A069493",
"A113839",
"A360840",
"A360841",
"A360842",
"A360843"
]
| null | Amiram Eldar, Feb 23 2023 | 2025-02-16T08:34:04 | oeisdata/seq/A360/A360843.seq | 53a51f1b24be71222a3591db6b8d6fe4 |
A360844 | a(n) is the least k-full number that is sandwiched between twin primes. | [
"4",
"432",
"2592",
"139968",
"139968",
"174960000000",
"56358560858112",
"84537841287168",
"578415690713088",
"578415690713088",
"1141260857376768",
"61628086298345472",
"61628086298345472",
"61628086298345472",
"322850407500000000000000000000",
"322850407500000000000000000000",
"62518864539857068333550694039552"
]
| [
"nonn"
]
| 15 | 2 | 1 | [
"A001097",
"A001694",
"A003586",
"A014574",
"A027856",
"A036966",
"A036967",
"A051904",
"A069492",
"A069493",
"A113839",
"A360840",
"A360841",
"A360842",
"A360843",
"A360844"
]
| null | Amiram Eldar, Feb 23 2023 | 2025-02-16T08:34:04 | oeisdata/seq/A360/A360844.seq | 73efd122931ed8420a6d38e81f0c0fe7 |
A360845 | Triangle read by rows: T(n,k) is the state of the k-th light after n steps of the light switch problem, 1 <= k <= A003418(n). | [
"1",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"1",
"1",
"0",
"0",
"1",
"1",
"1",
"1",
"1",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"1",
"0",
"1",
"1",
"0",
"1",
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"1",
"1",
"1",
"1",
"1",
"0",
"0",
"0",
"1",
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"0",
"0",
"0",
"1",
"1",
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"1",
"1",
"0",
"0",
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"0",
"1",
"0",
"0",
"0",
"1",
"1",
"1",
"1",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"1"
]
| [
"nonn",
"tabf"
]
| 36 | 1 | null | [
"A000290",
"A003418",
"A010052",
"A138553",
"A360845",
"A360872"
]
| null | Andrew Hardy, Feb 24 2023 | 2023-06-19T22:36:05 | oeisdata/seq/A360/A360845.seq | aa94ec17d13bc0b5b17da9162856cfe3 |
A360846 | Array read by antidiagonals: T(m,n) is the number of dominating induced trees in the grid graph P_m X P_n. | [
"1",
"3",
"3",
"4",
"8",
"4",
"4",
"17",
"17",
"4",
"4",
"32",
"65",
"32",
"4",
"4",
"66",
"222",
"222",
"66",
"4",
"4",
"130",
"766",
"1280",
"766",
"130",
"4",
"4",
"262",
"2685",
"7629",
"7629",
"2685",
"262",
"4",
"4",
"522",
"9450",
"46032",
"78981",
"46032",
"9450",
"522",
"4",
"4",
"1046",
"33158",
"278419",
"820308",
"820308",
"278419",
"33158",
"1046",
"4"
]
| [
"nonn",
"tabl"
]
| 14 | 1 | 2 | [
"A113311",
"A291872",
"A360202",
"A360846",
"A360847",
"A360848"
]
| null | Andrew Howroyd, Feb 23 2023 | 2025-02-16T08:34:04 | oeisdata/seq/A360/A360846.seq | 5aa247b7f70261036ec1e7ce92d7a97a |
A360847 | Number of dominating induced trees in the n X n grid graph. | [
"1",
"8",
"65",
"1280",
"78981",
"14605388",
"7904828158",
"12456744197696",
"57118103869618858",
"760896261783236975004",
"29416443122724544970455433",
"3297715940113139272931793598648",
"1071333966021766251746119497973623975",
"1008129126269380724757869194465038817386728"
]
| [
"nonn"
]
| 7 | 1 | 2 | [
"A287690",
"A360203",
"A360846",
"A360847"
]
| null | Andrew Howroyd, Feb 23 2023 | 2025-02-16T08:34:04 | oeisdata/seq/A360/A360847.seq | f3d3c2593a797d493569b0738c2678ba |
A360848 | Number of dominating induced trees in the n-ladder graph P_2_X P_n. | [
"3",
"8",
"17",
"32",
"66",
"130",
"262",
"522",
"1046",
"2090",
"4182",
"8362",
"16726",
"33450",
"66902",
"133802",
"267606",
"535210",
"1070422",
"2140842",
"4281686",
"8563370",
"17126742",
"34253482",
"68506966",
"137013930",
"274027862",
"548055722",
"1096111446",
"2192222890",
"4384445782",
"8768891562"
]
| [
"nonn",
"easy"
]
| 13 | 1 | 1 | [
"A360846",
"A360848"
]
| null | Andrew Howroyd, Feb 23 2023 | 2025-02-16T08:34:04 | oeisdata/seq/A360/A360848.seq | 62e13d9c0f5d6c9bdf343f403bf7ad43 |
A360849 | Array read by antidiagonals: T(m,n) is the number of (undirected) cycles in the complete bipartite graph K_{m,n}. | [
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"3",
"3",
"0",
"0",
"6",
"15",
"6",
"0",
"0",
"10",
"42",
"42",
"10",
"0",
"0",
"15",
"90",
"204",
"90",
"15",
"0",
"0",
"21",
"165",
"660",
"660",
"165",
"21",
"0",
"0",
"28",
"273",
"1650",
"3940",
"1650",
"273",
"28",
"0",
"0",
"36",
"420",
"3486",
"15390",
"15390",
"3486",
"420",
"36",
"0",
"0",
"45",
"612",
"6552",
"45150",
"113865",
"45150",
"6552",
"612",
"45",
"0"
]
| [
"nonn",
"tabl"
]
| 14 | 1 | 8 | [
"A000004",
"A000217",
"A059270",
"A070968",
"A269562",
"A286418",
"A360849",
"A360850",
"A360853"
]
| null | Andrew Howroyd, Feb 23 2023 | 2025-02-16T08:34:04 | oeisdata/seq/A360/A360849.seq | e445d3ff973ee8baa078013aa9cb7448 |
A360850 | Array read by antidiagonals: T(m,n) is the number of (undirected) paths in the complete bipartite graph K_{m,n}. | [
"1",
"3",
"3",
"6",
"12",
"6",
"10",
"33",
"33",
"10",
"15",
"72",
"135",
"72",
"15",
"21",
"135",
"438",
"438",
"135",
"21",
"28",
"228",
"1140",
"2224",
"1140",
"228",
"28",
"36",
"357",
"2511",
"8850",
"8850",
"2511",
"357",
"36",
"45",
"528",
"4893",
"27480",
"55725",
"27480",
"4893",
"528",
"45",
"55",
"747",
"8700",
"70462",
"265665",
"265665",
"70462",
"8700",
"747",
"55"
]
| [
"nonn",
"tabl"
]
| 13 | 1 | 2 | [
"A000217",
"A054602",
"A288035",
"A360849",
"A360850",
"A360851"
]
| null | Andrew Howroyd, Feb 23 2023 | 2025-02-16T08:34:04 | oeisdata/seq/A360/A360850.seq | 8b6144b1c9241dfc653d2ff4a57ab297 |
A360851 | Array read by antidiagonals: T(m,n) is the number of induced paths in the rook graph K_m X K_n. | [
"0",
"1",
"1",
"3",
"8",
"3",
"6",
"27",
"27",
"6",
"10",
"64",
"126",
"64",
"10",
"15",
"125",
"426",
"426",
"125",
"15",
"21",
"216",
"1125",
"2208",
"1125",
"216",
"21",
"28",
"343",
"2493",
"8830",
"8830",
"2493",
"343",
"28",
"36",
"512",
"4872",
"27456",
"55700",
"27456",
"4872",
"512",
"36",
"45",
"729",
"8676",
"70434",
"265635",
"265635",
"70434",
"8676",
"729",
"45"
]
| [
"nonn",
"tabl"
]
| 9 | 1 | 4 | [
"A000217",
"A000578",
"A003991",
"A360199",
"A360850",
"A360851",
"A360852"
]
| null | Andrew Howroyd, Feb 24 2023 | 2025-02-16T08:34:04 | oeisdata/seq/A360/A360851.seq | 288104b515f616886b287f30d4de8ef3 |
A360852 | Number of induced paths in the n X n rook graph. | [
"0",
"8",
"126",
"2208",
"55700",
"2006280",
"98309778",
"6291829376",
"509638185288",
"50963818537800",
"6166622043087110",
"887993574204562848",
"150070914040571147676",
"29413899151951944980168",
"6618127309189187620585050",
"1694240591152432030869834240",
"489635530843052856921382173968"
]
| [
"nonn"
]
| 10 | 1 | 2 | [
"A000290",
"A286189",
"A288035",
"A288967",
"A360851",
"A360852"
]
| null | Andrew Howroyd, Feb 24 2023 | 2025-02-16T08:34:04 | oeisdata/seq/A360/A360852.seq | 12e4416725a10c7c7c3c66624a31af67 |
A360853 | Array read by antidiagonals: T(m,n) is the number of induced cycles in the rook graph K_m X K_n. | [
"0",
"0",
"0",
"1",
"1",
"1",
"4",
"5",
"5",
"4",
"10",
"14",
"21",
"14",
"10",
"20",
"30",
"58",
"58",
"30",
"20",
"35",
"55",
"125",
"236",
"125",
"55",
"35",
"56",
"91",
"231",
"720",
"720",
"231",
"91",
"56",
"84",
"140",
"385",
"1754",
"4040",
"1754",
"385",
"140",
"84",
"120",
"204",
"596",
"3654",
"15550",
"15550",
"3654",
"596",
"204",
"120"
]
| [
"nonn",
"tabl"
]
| 10 | 1 | 7 | [
"A000292",
"A000330",
"A360196",
"A360849",
"A360851",
"A360853",
"A360854",
"A360855"
]
| null | Andrew Howroyd, Feb 24 2023 | 2025-02-16T08:34:04 | oeisdata/seq/A360/A360853.seq | 24f6c84e1b8dec042f0f6c8fd30cfa42 |
A360854 | Number of induced cycles in the n X n rook graph. | [
"0",
"1",
"21",
"236",
"4040",
"114105",
"4662721",
"256485936",
"18226110456",
"1623855703785",
"177195820502965",
"23237493232958796",
"3605437233380103056",
"653193551573628910481",
"136634950180317224879985",
"32681589590709963123110080",
"8863149183726257535369656976"
]
| [
"nonn"
]
| 8 | 1 | 3 | [
"A070968",
"A234624",
"A288961",
"A360852",
"A360853",
"A360854"
]
| null | Andrew Howroyd, Feb 24 2023 | 2025-02-16T08:34:04 | oeisdata/seq/A360/A360854.seq | c24a7b80d9143d76f4bcc63cc107ba2e |
A360855 | Array read by antidiagonals: T(m,n) is the number of triangles in the rook graph K_m X K_n. | [
"0",
"0",
"0",
"1",
"0",
"1",
"4",
"2",
"2",
"4",
"10",
"8",
"6",
"8",
"10",
"20",
"20",
"16",
"16",
"20",
"20",
"35",
"40",
"35",
"32",
"35",
"40",
"35",
"56",
"70",
"66",
"60",
"60",
"66",
"70",
"56",
"84",
"112",
"112",
"104",
"100",
"104",
"112",
"112",
"84",
"120",
"168",
"176",
"168",
"160",
"160",
"168",
"176",
"168",
"120",
"165",
"240",
"261",
"256",
"245",
"240",
"245",
"256",
"261",
"240",
"165"
]
| [
"nonn",
"tabl",
"easy"
]
| 9 | 1 | 7 | [
"A000292",
"A007290",
"A060354",
"A286418",
"A288961",
"A360853",
"A360855"
]
| null | Andrew Howroyd, Feb 24 2023 | 2025-02-16T08:34:04 | oeisdata/seq/A360/A360855.seq | 24a4c68e89f61f225e6716d1649d57f8 |
A360856 | a(n) = [x^n](1/2)*(1 + (2*x + 1)/sqrt(1 - 8*x^2*(x + 1))). | [
"1",
"1",
"2",
"6",
"16",
"48",
"140",
"424",
"1280",
"3920",
"12032",
"37184",
"115248",
"358624",
"1118784",
"3499584",
"10969344",
"34450944",
"108377984",
"341465344",
"1077300224",
"3403006464",
"10761447424",
"34065967104",
"107937899264",
"342293526016",
"1086339120128",
"3450236511232",
"10965437349888"
]
| [
"nonn"
]
| 6 | 0 | 3 | [
"A360571",
"A360856"
]
| null | Peter Luschny, Feb 28 2023 | 2023-02-28T03:54:49 | oeisdata/seq/A360/A360856.seq | a2607231e093b6f98e22f4fe0e251b35 |
A360857 | Triangle read by rows. T(n, k) = binomial(n, ceil(k/2)) * binomial(n + 1, floor(k/2)). | [
"1",
"1",
"1",
"1",
"2",
"6",
"1",
"3",
"12",
"12",
"1",
"4",
"20",
"30",
"60",
"1",
"5",
"30",
"60",
"150",
"150",
"1",
"6",
"42",
"105",
"315",
"420",
"700",
"1",
"7",
"56",
"168",
"588",
"980",
"1960",
"1960",
"1",
"8",
"72",
"252",
"1008",
"2016",
"4704",
"5880",
"8820",
"1",
"9",
"90",
"360",
"1620",
"3780",
"10080",
"15120",
"26460",
"26460"
]
| [
"nonn",
"tabl"
]
| 11 | 0 | 5 | [
"A360857",
"A360858",
"A360859"
]
| null | Peter Luschny, Feb 28 2023 | 2023-03-06T09:51:59 | oeisdata/seq/A360/A360857.seq | 3a2ff95732a45b4b158bd14a6fe515f5 |
A360858 | Triangle read by rows. T(n, k) = binomial(n + 1, ceil(k/2)) * binomial(n, floor(k/2)). | [
"1",
"1",
"2",
"1",
"3",
"6",
"1",
"4",
"12",
"18",
"1",
"5",
"20",
"40",
"60",
"1",
"6",
"30",
"75",
"150",
"200",
"1",
"7",
"42",
"126",
"315",
"525",
"700",
"1",
"8",
"56",
"196",
"588",
"1176",
"1960",
"2450",
"1",
"9",
"72",
"288",
"1008",
"2352",
"4704",
"7056",
"8820",
"1",
"10",
"90",
"405",
"1620",
"4320",
"10080",
"17640",
"26460",
"31752"
]
| [
"nonn",
"tabl"
]
| 12 | 0 | 3 | [
"A001700",
"A005566",
"A360857",
"A360858",
"A360859"
]
| null | Peter Luschny, Feb 28 2023 | 2023-02-28T10:03:55 | oeisdata/seq/A360/A360858.seq | 1206fe3d39d523668fe4d55c1f6e2809 |
A360859 | Triangle read by rows. T(n, k) = binomial(n, ceil(k/2)) * binomial(n, floor(k/2)). | [
"1",
"1",
"1",
"1",
"2",
"4",
"1",
"3",
"9",
"9",
"1",
"4",
"16",
"24",
"36",
"1",
"5",
"25",
"50",
"100",
"100",
"1",
"6",
"36",
"90",
"225",
"300",
"400",
"1",
"7",
"49",
"147",
"441",
"735",
"1225",
"1225",
"1",
"8",
"64",
"224",
"784",
"1568",
"3136",
"3920",
"4900",
"1",
"9",
"81",
"324",
"1296",
"3024",
"7056",
"10584",
"15876",
"15876",
"1",
"10",
"100",
"450",
"2025",
"5400",
"14400",
"25200",
"44100",
"52920",
"63504"
]
| [
"nonn",
"tabl"
]
| 11 | 0 | 5 | [
"A018224",
"A360857",
"A360858",
"A360859",
"A360861"
]
| null | Peter Luschny, Feb 28 2023 | 2023-02-28T09:46:38 | oeisdata/seq/A360/A360859.seq | 2a5325b652d5baee9edf1b27a942c7b8 |
A360860 | Accumulation triangle of A360603 read by rows. | [
"1",
"0",
"1",
"0",
"1",
"2",
"0",
"2",
"4",
"8",
"0",
"8",
"14",
"26",
"64",
"0",
"64",
"96",
"144",
"296",
"1024",
"0",
"1024",
"1344",
"1664",
"2424",
"6064",
"32768",
"0",
"32768",
"38912",
"42752",
"48832",
"70672",
"230896",
"2097152",
"0",
"2097152",
"2326528",
"2412544",
"2497664",
"2701504",
"3823072",
"16886864",
"268435456"
]
| [
"nonn",
"tabl"
]
| 7 | 0 | 6 | [
"A006125",
"A054592",
"A360603",
"A360860"
]
| null | Peter Luschny, Feb 26 2023 | 2023-03-06T08:02:22 | oeisdata/seq/A360/A360860.seq | 192d0f376b56cc86997f6c1a54459207 |
A360861 | a(n) = Sum_{k=0..n} binomial(n, ceiling(k/2)) * binomial(n, floor(k/2)). | [
"1",
"2",
"7",
"22",
"81",
"281",
"1058",
"3830",
"14605",
"54127",
"208110",
"782761",
"3027038",
"11501478",
"44668692",
"170974710",
"666220005",
"2564271875",
"10018268150",
"38728479647",
"151631858378",
"588229029258",
"2307174835212",
"8975958379817",
"35258881445606",
"137501193282026",
"540821096592028"
]
| [
"nonn"
]
| 19 | 0 | 2 | [
"A001405",
"A018224",
"A360859",
"A360861"
]
| null | Peter Luschny, Feb 28 2023 | 2023-12-11T05:43:12 | oeisdata/seq/A360/A360861.seq | f1c44a0238b2ce45cf22ff4500f59e9c |
A360862 | Triangle read by rows: T(n,k) is the number of unlabeled connected multigraphs with n edges on k nodes and degree >= 3 at each node, loops allowed, n >= 2, 1 <= k <= floor(2*n/3). | [
"1",
"1",
"2",
"1",
"4",
"1",
"7",
"5",
"1",
"10",
"20",
"5",
"1",
"14",
"48",
"36",
"1",
"18",
"99",
"153",
"30",
"1",
"23",
"181",
"481",
"277",
"17",
"1",
"28",
"303",
"1239",
"1451",
"323",
"1",
"34",
"479",
"2811",
"5572",
"2946",
"193",
"1",
"40",
"726",
"5805",
"17607",
"17343",
"3806",
"71",
"1",
"47",
"1055",
"11148",
"48401",
"77708",
"36872",
"3188",
"1",
"54",
"1492",
"20219",
"120018",
"288476",
"243007",
"54386",
"1496"
]
| [
"nonn",
"tabf"
]
| 12 | 2 | 3 | [
"A014616",
"A322115",
"A327615",
"A360862",
"A360863",
"A360864",
"A360866"
]
| null | Andrew Howroyd, Feb 24 2023 | 2023-02-24T16:28:03 | oeisdata/seq/A360/A360862.seq | a08df3d725b6c74da7c78243d93581a1 |
A360863 | Number of unlabeled connected multigraphs with n edges and degree >= 3 at each node, loops allowed. | [
"0",
"1",
"3",
"5",
"13",
"36",
"99",
"301",
"980",
"3345",
"12036",
"45399",
"178420",
"729149"
]
| [
"nonn",
"more"
]
| 7 | 1 | 3 | [
"A360862",
"A360863",
"A360864",
"A360865"
]
| null | Andrew Howroyd, Feb 24 2023 | 2023-02-24T21:46:59 | oeisdata/seq/A360/A360863.seq | b1af559ad413e43f034fc2fdeb91f01b |
A360864 | Number of unlabeled connected multigraphs with circuit rank n and degree >= 3 at each node, loops allowed. | [
"0",
"3",
"15",
"111",
"1076",
"13870",
"220520",
"4185406",
"92235118",
"2314204852",
"65129484278",
"2032179006943",
"69640160993587",
"2600585852722150",
"105127528809344785",
"4574251821427917425",
"213171992131468465801",
"10593983324971249199532",
"559293301762878627195807",
"31259896932477899016109585",
"1844062168535890557437809526"
]
| [
"nonn"
]
| 22 | 1 | 2 | [
"A360862",
"A360864"
]
| null | Andrew Howroyd and William P. Orrick, Feb 24 2023 | 2023-03-20T09:35:13 | oeisdata/seq/A360/A360864.seq | 54aba7bb375b3f3aa1e3bdcbccfe75d1 |
A360865 | Number of unlabeled multigraphs with n edges and degree >= 3 at each node, loops allowed. | [
"0",
"1",
"3",
"6",
"16",
"48",
"130",
"403",
"1293",
"4346",
"15318",
"56604",
"217802",
"873022"
]
| [
"nonn",
"more"
]
| 4 | 1 | 3 | [
"A360863",
"A360865"
]
| null | Andrew Howroyd, Feb 24 2023 | 2023-02-24T21:46:50 | oeisdata/seq/A360/A360865.seq | 2935f6e13d6e6d1c1634e571f11feab5 |
A360866 | Triangle read by rows: T(n,k) is the number of unlabeled connected loopless multigraphs with n edges on k nodes and degree >= 3 at each node, n >= 2, 1 <= k <= floor(2*n/3). | [
"0",
"0",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"3",
"2",
"0",
"1",
"4",
"7",
"0",
"1",
"6",
"19",
"6",
"0",
"1",
"8",
"40",
"37",
"6",
"0",
"1",
"10",
"71",
"135",
"56",
"0",
"1",
"12",
"117",
"366",
"338",
"35",
"0",
"1",
"15",
"184",
"858",
"1417",
"494",
"20",
"0",
"1",
"17",
"270",
"1778",
"4670",
"3494",
"492",
"0",
"1",
"20",
"387",
"3413",
"13125",
"17355",
"6047",
"251"
]
| [
"nonn",
"tabf"
]
| 6 | 2 | 11 | [
"A046752",
"A191646",
"A360862",
"A360866",
"A360867",
"A360868"
]
| null | Andrew Howroyd, Feb 24 2023 | 2023-02-25T20:57:54 | oeisdata/seq/A360/A360866.seq | f099a90e9bd53cb8e64febf8112a06bc |
A360867 | Number of unlabeled connected loopless multigraphs with n edges and degree >= 3 at each node. | [
"0",
"0",
"1",
"1",
"2",
"6",
"12",
"32",
"92",
"273",
"869",
"2989",
"10722",
"40599"
]
| [
"nonn",
"more"
]
| 9 | 1 | 5 | [
"A076864",
"A360863",
"A360866",
"A360867",
"A360868",
"A360869"
]
| null | Andrew Howroyd, Feb 24 2023 | 2023-03-11T19:48:32 | oeisdata/seq/A360/A360867.seq | b7349d251adfd59bdaac7a7a0893e178 |
A360868 | Number of unlabeled connected loopless multigraphs with circuit rank n and degree >= 3 at each node. | [
"0",
"1",
"4",
"23",
"172",
"1848",
"25684"
]
| [
"nonn",
"hard",
"more"
]
| 9 | 1 | 3 | [
"A360864",
"A360866",
"A360867",
"A360868",
"A360879"
]
| null | Andrew Howroyd, Feb 25 2023 | 2023-03-02T11:24:46 | oeisdata/seq/A360/A360868.seq | 3c30527bdb0820d0327df527501479de |
A360869 | Number of unlabeled loopless multigraphs with n edges and degree >= 3 at each node. | [
"0",
"0",
"1",
"1",
"2",
"7",
"13",
"35",
"101",
"295",
"928",
"3168",
"11247",
"42263"
]
| [
"nonn",
"more"
]
| 4 | 1 | 5 | [
"A050535",
"A360865",
"A360867",
"A360869"
]
| null | Andrew Howroyd, Feb 25 2023 | 2023-02-25T20:57:18 | oeisdata/seq/A360/A360869.seq | b7ef18f8a1720bf408a0ab51b68e95a4 |
A360870 | Triangle read by rows: T(n,k) is the number of unlabeled connected multigraphs with n edges on k nodes, no cut-points and degree >= 3 at each node, loops allowed, n >= 2, 1 <= k <= floor(2*n/3). | [
"1",
"1",
"2",
"1",
"4",
"1",
"7",
"2",
"1",
"10",
"8",
"2",
"1",
"14",
"19",
"11",
"1",
"18",
"40",
"48",
"7",
"1",
"23",
"77",
"154",
"70",
"5",
"1",
"28",
"132",
"421",
"392",
"71",
"1",
"34",
"217",
"1008",
"1638",
"690",
"35",
"1",
"40",
"340",
"2210",
"5623",
"4548",
"767",
"16",
"1",
"47",
"510",
"4477",
"16745",
"22657",
"8594",
"566",
"1",
"54",
"742",
"8557",
"44698",
"92844",
"64716",
"11247",
"226"
]
| [
"nonn",
"tabf"
]
| 14 | 2 | 3 | [
"A014616",
"A046752",
"A322115",
"A360862",
"A360866",
"A360870",
"A360871",
"A360882"
]
| null | Andrew Howroyd, Feb 25 2023 | 2023-02-27T11:20:21 | oeisdata/seq/A360/A360870.seq | c32c350f97bbaf7009988f2165973264 |
A360871 | Number of unlabeled nonseparable (or 2-connected) multigraphs with n edges and degree >= 3 at each node, loops allowed. | [
"0",
"0",
"2",
"4",
"9",
"20",
"44",
"113",
"329",
"1044",
"3622",
"13544",
"53596",
"223084",
"969158"
]
| [
"nonn",
"more"
]
| 7 | 1 | 3 | [
"A002935",
"A360863",
"A360867",
"A360870",
"A360871"
]
| null | Andrew Howroyd, Feb 25 2023 | 2023-02-25T18:07:12 | oeisdata/seq/A360/A360871.seq | 4e24de4e03caa9a5ee8e7fa7db36321b |
A360872 | Irregular triangle read by rows of the length of runs in intermediate solutions to the light switch problem. | [
"1",
"1",
"1",
"1",
"3",
"2",
"1",
"2",
"5",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"3",
"1",
"2",
"1",
"1",
"1",
"5",
"3",
"1",
"4",
"2",
"1",
"2",
"4",
"1",
"3",
"5",
"1",
"1",
"1",
"2",
"1",
"3",
"1",
"1",
"2",
"2",
"1",
"2",
"1",
"2",
"2",
"1",
"4",
"1",
"3",
"1",
"1",
"3",
"2",
"3",
"5",
"3",
"2",
"3",
"1",
"1",
"3",
"1",
"4",
"1",
"2",
"2",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"3",
"1",
"1",
"8",
"1",
"1",
"1",
"1",
"1",
"2",
"4"
]
| [
"nonn",
"tabf"
]
| 19 | 1 | 5 | [
"A000005",
"A000290",
"A003418",
"A010052",
"A252895",
"A360845",
"A360872"
]
| null | Andrew Hardy, Feb 24 2023 | 2023-06-20T10:09:47 | oeisdata/seq/A360/A360872.seq | e49628a69c9db0509cfea21726371768 |
A360873 | Array read by antidiagonals: T(m,n) is the number of (non-null) connected induced subgraphs in the rook graph K_m X K_n. | [
"1",
"3",
"3",
"7",
"13",
"7",
"15",
"51",
"51",
"15",
"31",
"205",
"397",
"205",
"31",
"63",
"843",
"3303",
"3303",
"843",
"63",
"127",
"3493",
"27877",
"55933",
"27877",
"3493",
"127",
"255",
"14451",
"233751",
"943095",
"943095",
"233751",
"14451",
"255",
"511",
"59485",
"1938517",
"15678925",
"31450861",
"15678925",
"1938517",
"59485",
"511"
]
| [
"nonn",
"tabl"
]
| 13 | 1 | 2 | [
"A000225",
"A286189",
"A360850",
"A360851",
"A360853",
"A360873",
"A360874",
"A360875"
]
| null | Andrew Howroyd, Feb 24 2023 | 2025-02-16T08:34:04 | oeisdata/seq/A360/A360873.seq | eaca1151bce4a457b65aea800298a0c8 |
A360874 | Number of (non-null) connected induced subgraphs in the 2 X n rook graph. | [
"3",
"13",
"51",
"205",
"843",
"3493",
"14451",
"59485",
"243483",
"991573",
"4021251",
"16253965",
"65530923",
"263685253",
"1059458451",
"4252051645",
"17050991163",
"68332580533",
"273716694051",
"1096026940525",
"4387590352203",
"17560813373413",
"70274617776051",
"281192580728605",
"1125052685342043"
]
| [
"nonn",
"easy"
]
| 12 | 1 | 1 | [
"A360873",
"A360874",
"A360876"
]
| null | Andrew Howroyd, Feb 24 2023 | 2024-10-03T08:05:40 | oeisdata/seq/A360/A360874.seq | adf889f01b33e536056d0789f73fb42f |
A360875 | Array read by antidiagonals: T(m,n) is the number of connected dominating sets in the rook graph K_m X K_n. | [
"1",
"3",
"3",
"7",
"9",
"7",
"15",
"39",
"39",
"15",
"31",
"177",
"325",
"177",
"31",
"63",
"783",
"2931",
"2931",
"783",
"63",
"127",
"3369",
"26077",
"51465",
"26077",
"3369",
"127",
"255",
"14199",
"225459",
"894675",
"894675",
"225459",
"14199",
"255",
"511",
"58977",
"1901725",
"15195897",
"30331861",
"15195897",
"1901725",
"58977",
"511"
]
| [
"nonn",
"tabl"
]
| 10 | 1 | 2 | [
"A000225",
"A287274",
"A289196",
"A360873",
"A360875",
"A360876"
]
| null | Andrew Howroyd, Feb 24 2023 | 2025-02-16T08:34:04 | oeisdata/seq/A360/A360875.seq | fb3ce1c9a6fc0d75b731c001137150fd |
A360876 | Number of connected dominating sets in the 2 X n rook graph. | [
"3",
"9",
"39",
"177",
"783",
"3369",
"14199",
"58977",
"242463",
"989529",
"4017159",
"16245777",
"65514543",
"263652489",
"1059392919",
"4251920577",
"17050729023",
"68332056249",
"273715645479",
"1096024843377",
"4387586157903",
"17560804984809",
"70274600998839",
"281192547174177",
"1125052618233183"
]
| [
"nonn",
"easy"
]
| 13 | 1 | 1 | [
"A360874",
"A360875",
"A360876"
]
| null | Andrew Howroyd, Feb 24 2023 | 2024-10-03T08:05:14 | oeisdata/seq/A360/A360876.seq | 23ccfe8e6fcd0ae888dac420caa0938a |
A360877 | Array read by antidiagonals: T(m,n) is the number of (undirected) paths in the rook graph K_m X K_n. | [
"0",
"1",
"1",
"6",
"12",
"6",
"30",
"129",
"129",
"30",
"160",
"1984",
"4536",
"1984",
"160",
"975",
"45945",
"310542",
"310542",
"45945",
"975",
"6846",
"1524156",
"38298270",
"111933456",
"38298270",
"1524156",
"6846"
]
| [
"nonn",
"tabl",
"more"
]
| 8 | 1 | 4 | [
"A038155",
"A269562",
"A269565",
"A286418",
"A288967",
"A360851",
"A360855",
"A360877",
"A360878"
]
| null | Andrew Howroyd, Feb 25 2023 | 2025-02-16T08:34:04 | oeisdata/seq/A360/A360877.seq | cdc96daaf582fb8e26e8f6750154dad0 |
A360878 | Number of (undirected) paths in the 2 X n rook graph. | [
"1",
"12",
"129",
"1984",
"45945",
"1524156",
"68838217"
]
| [
"nonn",
"more"
]
| 5 | 1 | 2 | [
"A096121",
"A276356",
"A341500",
"A360877",
"A360878"
]
| null | Andrew Howroyd, Feb 25 2023 | 2023-02-25T15:17:14 | oeisdata/seq/A360/A360878.seq | 1eea65c6e4dc0872877bcabea7665673 |
A360879 | Number of unlabeled nonseparable (or 2-connected) loopless multigraphs with circuit rank n and degree >= 3 at each node. | [
"0",
"1",
"4",
"17",
"118",
"1198",
"17133",
"311757",
"6803203"
]
| [
"nonn",
"more"
]
| 15 | 1 | 3 | [
"A002935",
"A046752",
"A360864",
"A360879"
]
| null | Andrew Howroyd, Feb 25 2023 | 2024-02-21T10:32:59 | oeisdata/seq/A360/A360879.seq | d0bb5cc1063a922e31891ee09ccf0dad |
A360880 | Triangle read by rows: T(n,k) is the number of unlabeled nonseparable (or 2-connected) multigraphs with n edges and k nodes, loops allowed, n >= 1, 2 <= k <= n + 1. | [
"1",
"2",
"0",
"4",
"1",
"0",
"6",
"2",
"1",
"0",
"9",
"6",
"3",
"1",
"0",
"12",
"14",
"13",
"4",
"1",
"0",
"16",
"28",
"39",
"22",
"5",
"1",
"0",
"20",
"52",
"112",
"98",
"39",
"6",
"1",
"0",
"25",
"93",
"281",
"383",
"236",
"63",
"8",
"1",
"0",
"30",
"152",
"655",
"1304",
"1220",
"515",
"102",
"9",
"1",
"0",
"36",
"242",
"1408",
"3980",
"5418",
"3512",
"1077",
"153",
"11",
"1",
"0"
]
| [
"nonn",
"tabl"
]
| 7 | 1 | 2 | [
"A002620",
"A050531",
"A290428",
"A322115",
"A339070",
"A339160",
"A360870",
"A360880",
"A360881"
]
| null | Andrew Howroyd, Feb 25 2023 | 2023-02-25T20:58:03 | oeisdata/seq/A360/A360880.seq | b67805c26308a2e3f46466b4a6d897eb |
A360881 | Number of unlabeled nonseparable (or 2-connected) multigraphs with n edges, loops allowed. | [
"1",
"2",
"5",
"9",
"19",
"44",
"111",
"328",
"1090",
"3988",
"15838",
"67295",
"301417",
"1412821",
"6882398",
"34682721",
"180170661",
"962288228",
"5273162329"
]
| [
"nonn",
"more"
]
| 5 | 1 | 2 | [
"A007717",
"A007719",
"A010357",
"A360880",
"A360881"
]
| null | Andrew Howroyd, Feb 25 2023 | 2023-02-25T20:57:58 | oeisdata/seq/A360/A360881.seq | d595a3eaee7639085791193ae398d374 |
A360882 | Number of unlabeled connected multigraphs with n edges, no cut-points and degree >= 3 at each node, loops allowed. | [
"0",
"1",
"3",
"5",
"10",
"21",
"45",
"114",
"330",
"1045",
"3623",
"13545",
"53597",
"223085",
"969159"
]
| [
"nonn",
"more"
]
| 8 | 1 | 3 | [
"A002935",
"A360863",
"A360867",
"A360870",
"A360871",
"A360882"
]
| null | Andrew Howroyd, Feb 27 2023 | 2023-02-27T11:22:45 | oeisdata/seq/A360/A360882.seq | 2a01ebef0a10ade54a9995f1e69fc383 |
A360883 | Smallest powerful (1) number which is at the end of an arithmetic progression of n terms. | [
"1",
"4",
"49",
"144",
"4500",
"5400",
"308700",
"352800",
"396900",
"441000",
"58697100",
"64033200",
"11723411700",
"12625212600",
"13527013500",
"14428814400"
]
| [
"nonn",
"hard"
]
| 11 | 1 | 2 | [
"A001694",
"A005115",
"A360883"
]
| null | Charles R Greathouse IV, Feb 24 2023 | 2023-02-26T02:20:36 | oeisdata/seq/A360/A360883.seq | 2454f6bbb792d2a559dd908632d216e6 |
A360884 | a(n) = a(n-1) + a(n-2) + gcd(a(n-1), n), a(1) = a(2) = 1. | [
"1",
"1",
"3",
"5",
"13",
"19",
"33",
"53",
"87",
"141",
"229",
"371",
"601",
"973",
"1575",
"2549",
"4125",
"6677",
"10803",
"17481",
"28287",
"45769",
"74057",
"119827",
"193885",
"313713",
"507625",
"821339",
"1328965",
"2150309",
"3479275",
"5629585",
"9108861",
"14738447",
"23847309",
"38585765",
"62433075",
"101018841",
"163451919",
"264470761",
"427922681",
"692393443"
]
| [
"nonn",
"easy"
]
| 24 | 1 | 3 | null | null | Jack Braxton, Feb 25 2023 | 2023-03-04T15:14:05 | oeisdata/seq/A360/A360884.seq | 47da7a039978ef3be8488aba6d3edcd0 |
A360885 | G.f. satisfies A(x) = 1 + x * A(x * (1 + x^2)). | [
"1",
"1",
"1",
"1",
"2",
"4",
"7",
"16",
"39",
"93",
"246",
"671",
"1884",
"5578",
"16887",
"52854",
"170649",
"563703",
"1914366",
"6649798",
"23610987",
"85689987",
"317054427",
"1196183592",
"4595744763",
"17965311672",
"71426213637",
"288535755417",
"1183807706841",
"4929801601890",
"20825803784129",
"89210585925338"
]
| [
"nonn"
]
| 14 | 0 | 5 | [
"A127782",
"A360885",
"A360886",
"A360896"
]
| null | Seiichi Manyama, Feb 25 2023 | 2023-02-26T06:56:07 | oeisdata/seq/A360/A360885.seq | 11ef36b66ea21384d59429afd1caa2bb |
A360886 | G.f. satisfies A(x) = 1 + x * A(x * (1 + x^3)). | [
"1",
"1",
"1",
"1",
"1",
"2",
"4",
"7",
"11",
"22",
"49",
"104",
"212",
"471",
"1112",
"2584",
"6000",
"14574",
"36488",
"91148",
"230011",
"596893",
"1574433",
"4171388",
"11193376",
"30594229",
"84527225",
"235243027",
"662702701",
"1891111335",
"5443353369",
"15797764276",
"46336647188",
"137245713050",
"409670144432"
]
| [
"nonn"
]
| 11 | 0 | 6 | [
"A127782",
"A360885",
"A360886",
"A360897"
]
| null | Seiichi Manyama, Feb 25 2023 | 2023-02-25T08:41:19 | oeisdata/seq/A360/A360886.seq | dbdc1583b978cd71a8885a153cd76922 |
A360887 | G.f. satisfies A(x) = 1 + x * (1 + x)^2 * A(x * (1 + x)). | [
"1",
"1",
"3",
"7",
"22",
"76",
"290",
"1225",
"5616",
"27758",
"147050",
"829926",
"4966258",
"31382572",
"208676004",
"1455540594",
"10620614461",
"80869622604",
"641177678068",
"5282866462839",
"45152445030267",
"399673570426188",
"3658433105500600",
"34582526451125235",
"337165886689229224"
]
| [
"nonn"
]
| 11 | 0 | 3 | [
"A360887",
"A360888",
"A360889"
]
| null | Seiichi Manyama, Feb 25 2023 | 2023-02-26T06:56:03 | oeisdata/seq/A360/A360887.seq | 6bd28a1683de6dc9da9f42e43ccaca4a |
A360888 | G.f. satisfies A(x) = 1 + x * (1 + x^2)^2 * A(x * (1 + x^2)). | [
"1",
"1",
"1",
"3",
"6",
"11",
"29",
"71",
"179",
"505",
"1405",
"4128",
"12639",
"39268",
"127059",
"420281",
"1423787",
"4955200",
"17579398",
"63796635",
"236161396",
"890544028",
"3422553065",
"13377869976",
"53184706291",
"214870633711",
"881485304157",
"3671033616614",
"15507956547021",
"66429816610908"
]
| [
"nonn"
]
| 8 | 0 | 4 | [
"A360885",
"A360887",
"A360888",
"A360889"
]
| null | Seiichi Manyama, Feb 25 2023 | 2023-02-25T08:41:02 | oeisdata/seq/A360/A360888.seq | c269af2b92d9c02a0634ba60c0c2d486 |
A360889 | G.f. satisfies A(x) = 1 + x * (1 + x^3)^2 * A(x * (1 + x^3)). | [
"1",
"1",
"1",
"1",
"3",
"6",
"10",
"16",
"37",
"85",
"175",
"365",
"865",
"2090",
"4826",
"11447",
"28797",
"73086",
"183422",
"471462",
"1249792",
"3329832",
"8898534",
"24244771",
"67210802",
"187336493",
"526399475",
"1501301887",
"4329346255",
"12565028776",
"36807317140",
"109047854266",
"325773015735",
"980062229742"
]
| [
"nonn"
]
| 7 | 0 | 5 | [
"A360887",
"A360888",
"A360889"
]
| null | Seiichi Manyama, Feb 25 2023 | 2023-02-25T08:40:58 | oeisdata/seq/A360/A360889.seq | 3d1531c992f265ffcc88db53249768c4 |
A360890 | G.f. satisfies A(x) = 1 + x/(1 - x^3) * A(x/(1 - x^3)). | [
"1",
"1",
"1",
"1",
"2",
"4",
"7",
"12",
"25",
"55",
"115",
"245",
"564",
"1331",
"3103",
"7407",
"18388",
"46198",
"116503",
"299966",
"789426",
"2095941",
"5616114",
"15299205",
"42255533",
"117689096",
"331204936",
"944052610",
"2718150015",
"7891518587",
"23137661717",
"68524545717",
"204645635263",
"616098009473"
]
| [
"nonn"
]
| 14 | 0 | 5 | [
"A000110",
"A172383",
"A360890",
"A360891",
"A360898"
]
| null | Seiichi Manyama, Feb 25 2023 | 2023-02-26T06:56:00 | oeisdata/seq/A360/A360890.seq | 9e587d8f4bb12cef2ebe782959486031 |
A360891 | G.f. satisfies A(x) = 1 + x/(1 - x^4) * A(x/(1 - x^4)). | [
"1",
"1",
"1",
"1",
"1",
"2",
"4",
"7",
"11",
"17",
"32",
"66",
"132",
"247",
"463",
"937",
"2001",
"4248",
"8758",
"18166",
"39181",
"87096",
"193493",
"425468",
"942610",
"2137196",
"4930702",
"11393809",
"26280211",
"61089849",
"144157779",
"343855549",
"822430473",
"1970839418",
"4757600242",
"11605042346",
"28516751351"
]
| [
"nonn"
]
| 10 | 0 | 6 | [
"A000110",
"A172383",
"A360890",
"A360891",
"A360899"
]
| null | Seiichi Manyama, Feb 25 2023 | 2023-02-25T08:45:18 | oeisdata/seq/A360/A360891.seq | 4ee56ee98e5296b9f6901130a19c1ecf |
A360892 | G.f. satisfies A(x) = 1 + x/(1 - x^3)^2 * A(x/(1 - x^3)). | [
"1",
"1",
"1",
"1",
"3",
"6",
"10",
"18",
"42",
"94",
"193",
"428",
"1036",
"2470",
"5779",
"14192",
"36176",
"91649",
"233617",
"613978",
"1641492",
"4396393",
"11922501",
"32969768",
"92080274",
"258774392",
"736441673",
"2123145058",
"6168831095",
"18067587851",
"53493963264",
"159884523503",
"481343585105",
"1461055679181"
]
| [
"nonn"
]
| 13 | 0 | 5 | [
"A040027",
"A352864",
"A360890",
"A360892",
"A360893",
"A360900"
]
| null | Seiichi Manyama, Feb 25 2023 | 2023-02-26T06:55:57 | oeisdata/seq/A360/A360892.seq | f75e10ba9d93b4b13f39c201d4e10a1f |
A360893 | G.f. satisfies A(x) = 1 + x/(1 - x^4)^2 * A(x/(1 - x^4)). | [
"1",
"1",
"1",
"1",
"1",
"3",
"6",
"10",
"15",
"24",
"51",
"109",
"214",
"389",
"747",
"1595",
"3497",
"7379",
"15065",
"31750",
"70504",
"159352",
"353748",
"777240",
"1742696",
"4022595",
"9379659",
"21717264",
"50239529",
"117913537",
"281584044",
"676667552",
"1623733085",
"3908144320",
"9509212539",
"23393422297",
"57815808829"
]
| [
"nonn"
]
| 10 | 0 | 6 | [
"A040027",
"A352864",
"A360891",
"A360892",
"A360893",
"A360901"
]
| null | Seiichi Manyama, Feb 25 2023 | 2023-02-25T08:49:08 | oeisdata/seq/A360/A360893.seq | 82168b568b53eaaeef2f45d62ae4ced2 |
A360894 | G.f. satisfies A(x) = 1 + x * A(x * (1 - x)). | [
"1",
"1",
"1",
"0",
"-2",
"-1",
"7",
"0",
"-44",
"69",
"276",
"-1471",
"675",
"20407",
"-90560",
"-20552",
"2141700",
"-10558223",
"-675239",
"329376824",
"-2106253225",
"2364924062",
"67114942438",
"-621638176430",
"1926931098484",
"14768396756732",
"-236623058229675",
"1371752460097440",
"1098671590491324"
]
| [
"sign"
]
| 10 | 0 | 5 | [
"A127782",
"A360894",
"A360896",
"A360897"
]
| null | Seiichi Manyama, Feb 25 2023 | 2023-02-25T08:41:11 | oeisdata/seq/A360/A360894.seq | ddc3ed5b181d779dc4f9e7dab64a01e8 |
A360895 | Decimal expansion of exp(exp(-gamma)) where gamma is the Euler-Mascheroni constant A001620. | [
"1",
"7",
"5",
"3",
"2",
"2",
"9",
"4",
"4",
"3",
"4",
"9",
"5",
"6",
"9",
"4",
"5",
"8",
"2",
"2",
"9",
"7",
"3",
"6",
"5",
"4",
"2",
"9",
"6",
"4",
"4",
"0",
"6",
"1",
"2",
"8",
"7",
"6",
"0",
"5",
"7",
"4",
"5",
"8",
"0",
"2",
"0",
"2",
"0",
"7",
"5",
"4",
"4",
"5",
"6",
"1",
"9",
"0",
"2",
"9",
"5",
"1",
"5",
"6",
"3",
"1",
"5",
"3",
"9",
"8",
"8",
"9",
"4",
"0",
"8",
"7",
"8",
"0",
"7",
"2",
"0",
"6",
"0",
"7",
"2",
"4",
"5",
"3",
"1",
"0",
"5",
"5",
"5",
"8",
"8",
"8",
"6",
"7",
"4",
"0",
"5",
"2",
"0",
"2",
"4",
"3",
"4",
"3",
"7",
"6",
"8",
"4",
"6",
"4",
"2"
]
| [
"cons",
"nonn"
]
| 25 | 1 | 2 | [
"A001620",
"A061556",
"A080130",
"A091440",
"A167348",
"A360895"
]
| null | Artur Jasinski, Feb 25 2023 | 2023-04-09T02:38:35 | oeisdata/seq/A360/A360895.seq | 878ef503b9174fc14510cb77f4d53803 |
A360896 | G.f. satisfies A(x) = 1 + x * A(x * (1 - x^2)). | [
"1",
"1",
"1",
"1",
"0",
"-2",
"-5",
"-4",
"9",
"39",
"46",
"-101",
"-516",
"-624",
"2021",
"9704",
"8847",
"-58363",
"-230932",
"-65902",
"2085381",
"6301393",
"-5195375",
"-84748630",
"-174659303",
"535875052",
"3703162955",
"3578704451",
"-39485091237",
"-163826467050",
"88095454403",
"2675998434838",
"6571312338031"
]
| [
"sign"
]
| 12 | 0 | 6 | [
"A360885",
"A360894",
"A360896",
"A360897"
]
| null | Seiichi Manyama, Feb 25 2023 | 2023-02-26T06:55:54 | oeisdata/seq/A360/A360896.seq | fc6dec331b065ea4926ef3eb3499d858 |
A360897 | G.f. satisfies A(x) = 1 + x * A(x * (1 - x^3)). | [
"1",
"1",
"1",
"1",
"1",
"0",
"-2",
"-5",
"-9",
"-8",
"7",
"48",
"120",
"161",
"-18",
"-798",
"-2486",
"-4088",
"-692",
"19840",
"71159",
"130467",
"31737",
"-688014",
"-2644266",
"-5066453",
"-866551",
"31217375",
"121457519",
"231494879",
"-10834753",
"-1756652362",
"-6638239650",
"-12044755426",
"5372265122",
"117373545212"
]
| [
"sign"
]
| 9 | 0 | 7 | [
"A360886",
"A360894",
"A360896",
"A360897"
]
| null | Seiichi Manyama, Feb 25 2023 | 2023-02-25T08:41:15 | oeisdata/seq/A360/A360897.seq | 8b57db3953a6acd0ff0c481cbe0d7cd7 |
A360898 | G.f. satisfies A(x) = 1 + x/(1 + x^3) * A(x/(1 + x^3)). | [
"1",
"1",
"1",
"1",
"0",
"-2",
"-5",
"-8",
"-5",
"13",
"57",
"117",
"110",
"-179",
"-1089",
"-2591",
"-2852",
"4370",
"30383",
"77884",
"88638",
"-165233",
"-1133248",
"-2963659",
"-3172087",
"8519500",
"53092522",
"135857134",
"122296383",
"-543728791",
"-2983007603",
"-7219203443",
"-4427302115",
"40439842811",
"194091075002"
]
| [
"sign"
]
| 12 | 0 | 6 | [
"A172385",
"A360890",
"A360898",
"A360899"
]
| null | Seiichi Manyama, Feb 25 2023 | 2023-02-26T06:56:10 | oeisdata/seq/A360/A360898.seq | ac0170bf353e5674b6fc171b37672d2a |
A360899 | G.f. satisfies A(x) = 1 + x/(1 + x^4) * A(x/(1 + x^4)). | [
"1",
"1",
"1",
"1",
"1",
"0",
"-2",
"-5",
"-9",
"-13",
"-10",
"10",
"60",
"155",
"281",
"325",
"5",
"-1214",
"-4094",
"-8786",
"-12571",
"-5642",
"35339",
"149264",
"363838",
"596714",
"417156",
"-1373639",
"-7048541",
"-18932245",
"-34095357",
"-29271979",
"68706873",
"413250742",
"1193425228",
"2293494882",
"2201716631"
]
| [
"sign"
]
| 9 | 0 | 7 | [
"A172385",
"A360891",
"A360898",
"A360899"
]
| null | Seiichi Manyama, Feb 25 2023 | 2023-02-25T08:49:17 | oeisdata/seq/A360/A360899.seq | b376bf95dcc75c7373e17b25f1ac2d9b |
A360900 | G.f. satisfies A(x) = 1 + x/(1 + x^3)^2 * A(x/(1 + x^3)). | [
"1",
"1",
"1",
"1",
"-1",
"-4",
"-8",
"-10",
"2",
"40",
"115",
"174",
"22",
"-736",
"-2495",
"-4276",
"-920",
"20593",
"75011",
"135814",
"17524",
"-788871",
"-2909061",
"-5248648",
"623274",
"38581252",
"138036877",
"235567666",
"-134440249",
"-2284840691",
"-7698637124",
"-11745925435",
"15869626983",
"157479613343"
]
| [
"sign"
]
| 12 | 0 | 6 | [
"A352865",
"A360892",
"A360900",
"A360901"
]
| null | Seiichi Manyama, Feb 25 2023 | 2023-02-26T06:56:13 | oeisdata/seq/A360/A360900.seq | 402b7ebc7a8b5498cff47a11c3f935aa |
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