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
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A362701 | Expansion of e.g.f. 1/(1 + LambertW(-x * exp(x^3/6))). | [
"1",
"1",
"4",
"27",
"260",
"3205",
"48276",
"859453",
"17656696",
"411139233",
"10700380520",
"307819026031",
"9698757574716",
"332170854765373",
"12286858280098780",
"488160559069250985",
"20732661511284180656",
"937357753835195873857",
"44948438093966732331984"
]
| [
"nonn"
]
| 9 | 0 | 3 | [
"A072034",
"A362700",
"A362701",
"A362705"
]
| null | Seiichi Manyama, Apr 30 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362701.seq | 40f446cd6972088c281f4c0d628a31db |
A362702 | Expansion of e.g.f. 1/(1 + LambertW(-x^2 * exp(x))). | [
"1",
"0",
"2",
"6",
"60",
"500",
"6150",
"81522",
"1300376",
"23024808",
"459915210",
"10104914270",
"243652575012",
"6378414900156",
"180405368976014",
"5478759958122570",
"177868544365861680",
"6146407749811022672",
"225262698504062963346",
"8727083181657584963766"
]
| [
"nonn",
"easy"
]
| 19 | 0 | 3 | [
"A072034",
"A216507",
"A362347",
"A362702",
"A362703"
]
| null | Seiichi Manyama, Apr 30 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362702.seq | 5e0b7766b2717f3607583e431a88369f |
A362703 | Expansion of e.g.f. 1/(1 + LambertW(-x^3 * exp(x))). | [
"1",
"0",
"0",
"6",
"24",
"60",
"1560",
"20370",
"161616",
"2601144",
"53827920",
"829605150",
"14894289960",
"360575394036",
"8234733389064",
"188800085076330",
"5145737430116640",
"148419618327231600",
"4278452209330445856",
"134018446273097264694",
"4529883358179857555640"
]
| [
"nonn",
"easy"
]
| 20 | 0 | 4 | [
"A072034",
"A292889",
"A362348",
"A362699",
"A362702",
"A362703"
]
| null | Seiichi Manyama, Apr 30 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362703.seq | a77b3299b07718a631826dd10bc5bd59 |
A362704 | Expansion of e.g.f. 1/(1 + LambertW(-x^2/2 * exp(x))). | [
"1",
"0",
"1",
"3",
"18",
"130",
"1140",
"11886",
"142408",
"1934640",
"29357100",
"492249340",
"9038206056",
"180352513848",
"3886286296984",
"89937276717120",
"2224716791224320",
"58577968147130176",
"1635780290409117648",
"48286974141713673072",
"1502385897082471446880"
]
| [
"nonn",
"easy"
]
| 12 | 0 | 4 | [
"A072034",
"A362350",
"A362704",
"A362705"
]
| null | Seiichi Manyama, Apr 30 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362704.seq | a6ba316509da1be20a877ac0c2080de7 |
A362705 | Expansion of e.g.f. 1/(1 + LambertW(-x^3/6 * exp(x))). | [
"1",
"0",
"0",
"1",
"4",
"10",
"60",
"595",
"4536",
"34524",
"361320",
"4333725",
"51214460",
"651628406",
"9448719644",
"146868322055",
"2376666773040",
"41077757951000",
"762599081332176",
"14918668387075449",
"305774990501285940",
"6602482711971622210",
"149921553418087172260",
"3557552268845721893131"
]
| [
"nonn",
"easy"
]
| 11 | 0 | 5 | [
"A072034",
"A362351",
"A362704",
"A362705"
]
| null | Seiichi Manyama, Apr 30 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362705.seq | 5f847229e067f90fbe4392f0a0881e29 |
A362706 | Number of squares formed by first n vertices of the infinite-dimensional hypercube. | [
"0",
"0",
"0",
"1",
"1",
"2",
"3",
"6",
"6",
"7",
"9",
"13",
"16",
"21",
"27",
"36",
"36",
"37",
"40",
"45",
"50",
"57",
"66",
"78",
"85",
"94",
"106",
"121",
"136",
"154",
"175",
"200",
"200",
"201",
"205",
"211",
"219",
"229",
"242",
"258",
"271",
"286",
"305",
"327",
"351",
"378",
"409",
"444",
"463",
"484",
"510",
"539",
"571",
"606",
"646",
"690",
"729",
"771",
"819"
]
| [
"nonn"
]
| 26 | 1 | 6 | [
"A051602",
"A115990",
"A345340",
"A362706"
]
| null | Hugo van der Sanden, Jun 22 2023 | 2023-07-09T08:34:00 | oeisdata/seq/A362/A362706.seq | 82db11fdedc2edff18d736d60a7a4a92 |
A362707 | a(n) = Sum_{d|n, phi(d)|sigma(d)} (n-d). | [
"0",
"1",
"2",
"5",
"4",
"12",
"6",
"13",
"14",
"17",
"10",
"36",
"12",
"25",
"26",
"29",
"16",
"60",
"18",
"37",
"38",
"41",
"22",
"96",
"24",
"49",
"50",
"67",
"28",
"123",
"30",
"61",
"62",
"65",
"34",
"156",
"36",
"73",
"74",
"77",
"40",
"184",
"42",
"85",
"116",
"89",
"46",
"216",
"48",
"97",
"98",
"101",
"52",
"204",
"54",
"151",
"110",
"113",
"58",
"351",
"60",
"121",
"122",
"125",
"64",
"252",
"66",
"133"
]
| [
"nonn",
"easy"
]
| 6 | 1 | 3 | [
"A000005",
"A000010",
"A020492",
"A351112",
"A351113",
"A351114",
"A362707"
]
| null | Wesley Ivan Hurt, Apr 30 2023 | 2023-05-02T23:54:22 | oeisdata/seq/A362/A362707.seq | e78e24d23c500c18412f4450476b9bf3 |
A362708 | a(n) is the number of almost unitary polyominoes of size n. An almost unitary polyomino is one in which all but 1 of its perimeter walls have length 1. | [
"0",
"0",
"0",
"1",
"0",
"0",
"2",
"2",
"1",
"6",
"9",
"11",
"21",
"49",
"69",
"117",
"249",
"427"
]
| [
"nonn",
"hard",
"more"
]
| 10 | 1 | 7 | [
"A245660",
"A362708",
"A362709"
]
| null | John Mason, Apr 30 2023 | 2023-05-01T10:01:46 | oeisdata/seq/A362/A362708.seq | 232d485211eb757dc0721b6ef6951313 |
A362709 | a(n) is the number of almost almost unitary polyominoes of size n. An almost almost unitary polyomino is one in which all but 2 of its perimeter walls have length 1. | [
"0",
"1",
"2",
"2",
"4",
"12",
"15",
"29",
"58",
"116",
"199",
"403",
"790",
"1509",
"2857",
"5700",
"10941",
"21032"
]
| [
"nonn",
"hard",
"more"
]
| 11 | 1 | 3 | [
"A245660",
"A362708",
"A362709"
]
| null | John Mason, Apr 30 2023 | 2023-05-01T10:01:42 | oeisdata/seq/A362/A362709.seq | 2d95778429a49ccbf2e035018f6dcf84 |
A362710 | Numbers m such that the decimal expansion of 1/m contains no digit 0, ignoring leading and trailing 0's. | [
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"12",
"14",
"15",
"16",
"18",
"20",
"22",
"24",
"25",
"26",
"28",
"30",
"32",
"35",
"36",
"40",
"44",
"45",
"50",
"54",
"55",
"56",
"60",
"64",
"65",
"66",
"70",
"72",
"74",
"75",
"80",
"82",
"88",
"90",
"100",
"104",
"108",
"112",
"120",
"125",
"128",
"132",
"140",
"144",
"148",
"150",
"160",
"175",
"176",
"180",
"200",
"216",
"220",
"224",
"225",
"240",
"250",
"252",
"260",
"264"
]
| [
"nonn",
"base"
]
| 25 | 1 | 2 | [
"A352154",
"A362579",
"A362710"
]
| null | Robert Israel, Apr 30 2023 | 2024-04-23T03:30:56 | oeisdata/seq/A362/A362710.seq | 46e7847be4c118ad0a56d297d6eed59f |
A362711 | a(n) is the hafnian of the 2n X 2n symmetric matrix defined by M[i, j] = min(i, j)*(2*n + 1) - i*j. | [
"1",
"1",
"17",
"1177",
"210249",
"76961257",
"50203153993",
"53127675356625",
"85252003916011889",
"197131843368693693937",
"631233222450168374457057"
]
| [
"nonn",
"hard",
"more"
]
| 28 | 0 | 3 | [
"A000272",
"A000292",
"A002415",
"A003983",
"A003991",
"A005993",
"A106314",
"A107985",
"A362679",
"A362711"
]
| null | Stefano Spezia, Apr 30 2023 | 2023-10-15T09:27:03 | oeisdata/seq/A362/A362711.seq | 913bc8a747eb0e18f6a05a91b21f87a6 |
A362712 | Number of n-colorings of the Goldner-Harary graph. | [
"0",
"0",
"0",
"0",
"24",
"15360",
"787320",
"13762560",
"131250000",
"846526464",
"4150656720",
"16609443840",
"56821671720",
"171600000000",
"468159796104",
"1173850030080",
"2740855222560",
"6021219348480",
"12547912500000",
"24970939858944",
"47714180896440",
"87939285396480",
"156928122498840"
]
| [
"nonn",
"easy"
]
| 13 | 0 | 5 | null | null | Alois P. Heinz, Apr 30 2023 | 2023-04-30T14:09:31 | oeisdata/seq/A362/A362712.seq | 12c044c8512e206eb00eda12e6dea020 |
A362713 | Expansion of e.g.f. x*2F1([3/4, 3/4], [3/2], 4*x^2)/2F1([1/4, 1/4], [1/2], 4*x^2), odd powers only. | [
"1",
"6",
"256",
"28560",
"6071040",
"2098483200",
"1071889920000",
"758870167910400",
"711206089850880000",
"852336059876720640000",
"1271438437097485762560000",
"2310211006286602237378560000",
"5023141810386294125321256960000",
"12877606625796048169971744768000000",
"38439740210093310755176533983232000000"
]
| [
"nonn"
]
| 15 | 0 | 2 | [
"A317615",
"A362713",
"A362714",
"A362715"
]
| null | Stefano Spezia, Apr 30 2023 | 2023-05-05T01:34:27 | oeisdata/seq/A362/A362713.seq | 49cdab79db894b3d0f32e9039fb1e33d |
A362714 | a(0) = 1 and a(n) = 2^(n-1)*Product_{j=1..n} (4*j - 3)^2 - Sum_{m=1..n-1} binomial(2*n, 2*m)*a(m)*a(n-m)/2 for n > 0. | [
"1",
"1",
"47",
"7395",
"2453425",
"1399055625",
"1221037941375",
"1513229875486875",
"2526879997358510625",
"5469272714829657020625",
"14892997153152592003359375",
"49826568404835717359311321875",
"200913471834337931507493300140625",
"960945974809003219596852282787265625",
"5378917217051713436481068409370884609375"
]
| [
"nonn"
]
| 13 | 0 | 3 | [
"A317651",
"A362713",
"A362714",
"A362715"
]
| null | Stefano Spezia, Apr 30 2023 | 2023-05-03T09:24:19 | oeisdata/seq/A362/A362714.seq | dafd42fa1d2e262b42c79e1410e42ee9 |
A362715 | Triangle read by rows: T(n, k) = 2^(n-k)*(2*n)!/(2*k)! * [x^(2*n)] U[x]^(2*k), where U(x) = x*2F1([3/4, 3/4], [3/2], 4*x^2)/2F1([1/4, 1/4], [1/2], 4*x^2). | [
"1",
"0",
"1",
"0",
"48",
"1",
"0",
"7584",
"240",
"1",
"0",
"2515968",
"97664",
"672",
"1",
"0",
"1432498176",
"63221760",
"560448",
"1440",
"1",
"0",
"1247557386240",
"60299053056",
"628024320",
"2141568",
"2640",
"1",
"0",
"1542446268088320",
"79885647249408",
"933093697536",
"3819239424",
"6374368",
"4368",
"1"
]
| [
"nonn",
"tabl"
]
| 10 | 0 | 5 | [
"A317651",
"A362713",
"A362714",
"A362715"
]
| null | Stefano Spezia, Apr 30 2023 | 2023-05-01T10:02:25 | oeisdata/seq/A362/A362715.seq | 75a8c30ae033245a98d1fdacbebf28e4 |
A362716 | Sum of the bits of the "integer part" of the base-phi representation of n. | [
"0",
"1",
"1",
"1",
"2",
"1",
"2",
"1",
"2",
"2",
"2",
"3",
"1",
"2",
"2",
"3",
"2",
"3",
"1",
"2",
"2",
"2",
"3",
"2",
"3",
"2",
"3",
"3",
"3",
"4",
"1",
"2",
"2",
"3",
"2",
"3",
"2",
"3",
"3",
"3",
"4",
"2",
"3",
"3",
"4",
"3",
"4",
"1",
"2",
"2",
"2",
"3",
"2",
"3",
"2",
"3",
"3",
"3",
"4",
"2",
"3",
"3",
"4",
"3",
"4",
"2",
"3",
"3",
"3",
"4",
"3",
"4",
"3",
"4",
"4",
"4",
"5",
"1",
"2",
"2",
"3",
"2",
"3",
"2",
"3",
"3",
"3"
]
| [
"nonn"
]
| 20 | 0 | 5 | [
"A055778",
"A362716"
]
| null | Jeffrey Shallit, Apr 30 2023 | 2023-05-05T01:34:00 | oeisdata/seq/A362/A362716.seq | fa094724d6d94060fc6443a2ccfba2b7 |
A362717 | Number of ways to write a + b + c = d + e = f with {a,b,c,d,e,f} a subset of [n] of size 6 and a < b < c and d < e. | [
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"4",
"10",
"20",
"36",
"60",
"93",
"141",
"200",
"280",
"379",
"505",
"653",
"842",
"1057",
"1321",
"1622",
"1982",
"2384",
"2864",
"3390",
"4006",
"4684",
"5464",
"6311",
"7286",
"8334",
"9524",
"10806",
"12246",
"13785",
"15513",
"17346",
"19386",
"21555",
"23949",
"26479",
"29272",
"32209",
"35429",
"38820"
]
| [
"nonn",
"easy"
]
| 32 | 0 | 10 | [
"A004526",
"A362717"
]
| null | Ingólfur Gíslason, Apr 30 2023 | 2023-08-13T15:50:29 | oeisdata/seq/A362/A362717.seq | 99a24d5caa2b1a5bf3dffe45a71cbf35 |
A362718 | Expansion of e.g.f. cos(x)*exp(x^2/2) = Sum_{n>=0} a(n)*x^(2*n)/(2*n)!. | [
"1",
"0",
"-2",
"-16",
"-132",
"-1216",
"-12440",
"-138048",
"-1601264",
"-18108928",
"-161934624",
"404007680",
"92590134208",
"4221314202624",
"159324751301248",
"5730872535686144",
"205239818509082880",
"7450322829180649472",
"276342876017093172736",
"10509280308463090102272"
]
| [
"sign"
]
| 6 | 0 | 3 | [
"A001464",
"A362718"
]
| null | Michael Somos, Apr 30 2023 | 2023-05-06T05:05:41 | oeisdata/seq/A362/A362718.seq | 55e8354c65bab3144952c157e8687ee4 |
A362719 | Number of numbers k, 1 <= k <= n, such that phi(k) = phi(n-k+1). | [
"1",
"2",
"1",
"0",
"1",
"2",
"1",
"2",
"3",
"0",
"1",
"2",
"1",
"2",
"3",
"2",
"3",
"0",
"3",
"2",
"3",
"2",
"1",
"2",
"1",
"2",
"1",
"0",
"1",
"2",
"3",
"2",
"3",
"2",
"3",
"0",
"1",
"4",
"3",
"2",
"1",
"0",
"3",
"2",
"5",
"2",
"1",
"6",
"3",
"2",
"1",
"0",
"5",
"2",
"1",
"6",
"3",
"0",
"1",
"0",
"3",
"2",
"3",
"4",
"3",
"0",
"3",
"4",
"3",
"0",
"3",
"2",
"5",
"2",
"1",
"4",
"3",
"0",
"5",
"2",
"3",
"2",
"3",
"0",
"1",
"4",
"3",
"0",
"1",
"6",
"7",
"2",
"7",
"2",
"3"
]
| [
"nonn",
"easy"
]
| 16 | 1 | 2 | [
"A000010",
"A362719"
]
| null | Wesley Ivan Hurt, Apr 30 2023 | 2023-05-02T23:55:55 | oeisdata/seq/A362/A362719.seq | ba442c6a9f06d8dbd7f8f1d3ccda817e |
A362720 | a(n) is the smallest k > 0 such that b(n) = b(n-1) + A007504(k) is prime, with b(0) = 1. | [
"1",
"1",
"1",
"3",
"1",
"3",
"1",
"3",
"1",
"3",
"41",
"3",
"1",
"5",
"1",
"3",
"1",
"11",
"33",
"3",
"57",
"17",
"7",
"17",
"5",
"17",
"9",
"17",
"9",
"1",
"9",
"1",
"3",
"1",
"5",
"1",
"5",
"17",
"9",
"17",
"5",
"17",
"5",
"65",
"11",
"17",
"3",
"33",
"9",
"33",
"7",
"35",
"7",
"33",
"9",
"1",
"5",
"1",
"3",
"1",
"9",
"17",
"5",
"1",
"5",
"41",
"21",
"33",
"9",
"1",
"3",
"33",
"21",
"1",
"9",
"33",
"3"
]
| [
"nonn",
"easy"
]
| 16 | 1 | 4 | [
"A007504",
"A362720"
]
| null | Bill McEachen, Apr 30 2023 | 2024-11-25T15:19:54 | oeisdata/seq/A362/A362720.seq | bc0ddaa0584c071ca51d5638816ceb08 |
A362721 | Number of numbers k, 1 <= k <= n, such that pi(k) = pi(n-k+1). | [
"1",
"0",
"1",
"0",
"1",
"2",
"1",
"0",
"1",
"2",
"1",
"0",
"1",
"2",
"3",
"4",
"3",
"2",
"1",
"0",
"1",
"2",
"1",
"0",
"1",
"2",
"3",
"4",
"3",
"2",
"1",
"0",
"1",
"2",
"1",
"0",
"1",
"2",
"3",
"4",
"3",
"2",
"1",
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"5",
"4",
"3",
"2",
"1",
"0",
"1",
"2",
"1",
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"5",
"4",
"3",
"2",
"1",
"0",
"1",
"2",
"3",
"4",
"3",
"2",
"1",
"0",
"1",
"2",
"1",
"0",
"1",
"2",
"3",
"4",
"3",
"2",
"1",
"0",
"1",
"2",
"3"
]
| [
"nonn",
"easy"
]
| 9 | 1 | 6 | [
"A000720",
"A362721"
]
| null | Wesley Ivan Hurt, Apr 30 2023 | 2023-05-02T23:57:49 | oeisdata/seq/A362/A362721.seq | f7484393bbb99d514ce7f8a251da484d |
A362722 | a(n) = [x^n] ( E(x)/E(-x) )^n where E(x) = exp( Sum_{k >= 1} A005258(k)*x^k/k ). | [
"1",
"6",
"72",
"1266",
"23232",
"445506",
"8740728",
"174366114",
"3519799296",
"71696570010",
"1470795168072",
"30344633110710",
"628994746308288",
"13089254107521234",
"273292588355096760",
"5722454505166750266",
"120119862431845048320",
"2526922404360157374738",
"53260275108329790626952"
]
| [
"nonn",
"easy"
]
| 9 | 0 | 2 | [
"A005258",
"A362722",
"A362723",
"A362733"
]
| null | Peter Bala, May 01 2023 | 2023-05-11T10:25:28 | oeisdata/seq/A362/A362722.seq | 8f4ef0f0c624a5daf4c6783ecbd98c1e |
A362723 | a(n) = [x^n] ( E(x)/E(-x) )^n where E(x)= exp( Sum_{k >= 1} A005259(k)*x^k/k ). | [
"1",
"10",
"200",
"7390",
"260800",
"10263010",
"407520920",
"16758685030",
"697767370240",
"29525605934410",
"1261570539980200",
"54419751094210270",
"2364396136291654720",
"103393259758470870770",
"4545671563318715532280",
"200804420082143353690390",
"8907295723280072012247040",
"396570344897237949249382010"
]
| [
"nonn",
"easy"
]
| 9 | 0 | 2 | [
"A005259",
"A267220",
"A362722",
"A362723",
"A362733"
]
| null | Peter Bala, May 01 2023 | 2023-05-11T10:25:34 | oeisdata/seq/A362/A362723.seq | 523ef253912f6de649a8c3a3a6d99b14 |
A362724 | a(n) = [x^n] E(x)^n, where E(x) = exp( Sum_{k >= 1} A005258(k)*x^k/k ). | [
"1",
"3",
"37",
"525",
"7925",
"123878",
"1980199",
"32150030",
"527984245",
"8747075100",
"145917510662",
"2447835093498",
"41253740275559",
"697956867712705",
"11847510103853090",
"201678623730755525",
"3441648250114203253",
"58859380176953941937",
"1008553120517397082420",
"17311102730697482426850"
]
| [
"nonn",
"easy"
]
| 9 | 0 | 2 | [
"A005258",
"A362722",
"A362724",
"A362733"
]
| null | Peter Bala, May 02 2023 | 2023-05-11T10:25:37 | oeisdata/seq/A362/A362724.seq | 1c35596c68f51073074ac5db71aacbf8 |
A362725 | a(n) = [x^n] E(x)^n, where E(x) = exp( Sum_{k >= 1} A005259(k)*x^k/k ). | [
"1",
"5",
"123",
"3650",
"118059",
"4015380",
"141175410",
"5082313276",
"186243853995",
"6920379988871",
"260030830600748",
"9860709859708350",
"376821110248674594",
"14494688046084958080",
"560708803489098556632",
"21797478402692370515400",
"851057798310071946207915",
"33356751162583463626417872"
]
| [
"nonn",
"easy"
]
| 10 | 0 | 2 | [
"A005259",
"A362722",
"A362725",
"A362733"
]
| null | Peter Bala, May 02 2023 | 2023-05-11T10:25:41 | oeisdata/seq/A362/A362725.seq | 66559d2106530c07260fa516f43c3eb6 |
A362726 | a(n) = [x^n] E(x)^n where E(x) = exp( Sum_{k >= 1} A208675(k)*x^k/k ). | [
"1",
"1",
"7",
"64",
"647",
"6901",
"76120",
"859216",
"9863303",
"114689746",
"1347186307",
"15954752903",
"190235245976",
"2281177393704",
"27487043703672",
"332588768198389",
"4038905184944263",
"49204502405466061",
"601135759955624038",
"7362647062772162397",
"90380912127647103747"
]
| [
"nonn",
"easy"
]
| 16 | 0 | 3 | [
"A208675",
"A362722",
"A362726",
"A362733"
]
| null | Peter Bala, May 02 2023 | 2025-03-27T02:23:51 | oeisdata/seq/A362/A362726.seq | 54a629ce89dfb578f671fe95e9b7a25c |
A362727 | a(n) = [x^n] ( E(x)/E(-x) )^n where E(x) = exp( Sum_{k >= 1} A208675(k)*x^k/k ). | [
"1",
"2",
"8",
"110",
"960",
"12502",
"136952",
"1746558",
"20951040",
"267467294",
"3347043208",
"43051344074",
"550991269824",
"7146318966438",
"92706899799480",
"1211369977374310",
"15857138035286016",
"208493724775866726",
"2747100161210031944",
"36305149229744449050",
"480750961929272288960"
]
| [
"nonn",
"easy"
]
| 14 | 0 | 2 | [
"A208675",
"A362722",
"A362727",
"A362733"
]
| null | Peter Bala, May 02 2023 | 2025-03-27T02:23:55 | oeisdata/seq/A362/A362727.seq | ea09e00c2817ab2be8d972e5eeaab5b7 |
A362728 | a(n) = [x^n] E(x)^n where E(x) = exp( Sum_{k >= 1} A108628(k-1)*x^k/k ). | [
"1",
"1",
"9",
"91",
"985",
"11101",
"128475",
"1515032",
"18116825",
"218988046",
"2669804209",
"32776883899",
"404733925435",
"5022161428571",
"62578069656776",
"782560813918216",
"9817011145746649",
"123492956278927438",
"1557295053170126994",
"19681186581532094418"
]
| [
"nonn",
"easy"
]
| 14 | 0 | 3 | [
"A108628",
"A362722",
"A362728",
"A362733"
]
| null | Peter Bala, May 03 2023 | 2025-03-27T02:24:00 | oeisdata/seq/A362/A362728.seq | 373612167d9586e99123da61e3b815fc |
A362729 | a(n) = [x^n] ( E(x)/E(-x) )^n where E(x) = exp( Sum_{k >= 1} A108628(k-1)*x^k/k ). | [
"1",
"2",
"8",
"146",
"1344",
"18502",
"214136",
"2820834",
"35377152",
"465110894",
"6038588808",
"79936149174",
"1056557893440",
"14094461001558",
"188319357861944",
"2529143690991946",
"34042038343081984",
"459723572413090934",
"6221522287903354568",
"84397945280561045302",
"1147007337762078241344"
]
| [
"nonn",
"easy"
]
| 11 | 0 | 2 | [
"A108628",
"A362722",
"A362729",
"A362733"
]
| null | Peter Bala, May 03 2023 | 2025-03-27T02:24:06 | oeisdata/seq/A362/A362729.seq | 392aafe8faaca0b6e90b456299005ee1 |
A362730 | a(n) = [x^n] E(x)^n where E(x) = exp( Sum_{k >= 1} binomial(2*k,k)^2*x^k/k ). | [
"1",
"4",
"68",
"1336",
"27972",
"607004",
"13478072",
"304083224",
"6941422916",
"159882680452",
"3708781743068",
"86526900550864",
"2028273983776440",
"47733938489878528",
"1127187050415921304",
"26694934151138897336",
"633813403549444601156",
"15082008687681962081088",
"359592614152718921447108"
]
| [
"nonn",
"easy"
]
| 18 | 0 | 2 | [
"A000984",
"A002894",
"A224734",
"A359108",
"A362722",
"A362730",
"A362733"
]
| null | Peter Bala, May 05 2023 | 2025-03-27T04:08:24 | oeisdata/seq/A362/A362730.seq | 7ad4da80427a43c2db9604fce30a6632 |
A362731 | a(n) = [x^n] E(x)^n where E(x) = exp( Sum_{k >= 1} A000172(k)*x^k/k ). | [
"1",
"2",
"18",
"182",
"1954",
"21702",
"246366",
"2839846",
"33105186",
"389264798",
"4608481918",
"54862022910",
"656099844526",
"7876525155020",
"94867757934870",
"1145843922848232",
"13873839714404642",
"168345900709550388",
"2046612356962697502",
"24923311881995950740",
"303974276349311203854"
]
| [
"nonn",
"easy"
]
| 11 | 0 | 2 | [
"A000172",
"A166990",
"A362722",
"A362731",
"A362733"
]
| null | Peter Bala, May 05 2023 | 2025-03-27T05:43:39 | oeisdata/seq/A362/A362731.seq | 3cca8a5f0eb51cdc4f41459ae1c5601a |
A362732 | a(n) = [x^n] E(x)^n, where E(x) = exp( Sum_{k >= 1} A006480(k)*x^k/k ). | [
"1",
"6",
"162",
"5082",
"170274",
"5920506",
"210808494",
"7631158674",
"279617726754",
"10341283241130",
"385275082939662",
"14439312879759378",
"543815325940475694",
"20565700004741265900",
"780470358196543271622",
"29708379800729905316832",
"1133811403010621704628514",
"43371319655978568356324868"
]
| [
"nonn",
"easy"
]
| 27 | 0 | 2 | [
"A006480",
"A229451",
"A362722",
"A362732",
"A362733"
]
| null | Peter Bala, May 06 2023 | 2025-01-27T14:28:06 | oeisdata/seq/A362/A362732.seq | 399fa17409141f31b6366d05ee82ba76 |
A362733 | a(n) = [x^n] F(x)^n, where F(x) = exp( Sum_{k >= 1} A362732(k)*x^k/k ). | [
"1",
"6",
"234",
"10428",
"492522",
"24033006",
"1197423396",
"60530725380",
"3092592004074",
"159295600885794",
"8258018380659234",
"430335300869496072",
"22521831447746893092",
"1182951246247357578348",
"62325193477833011143260",
"3292376206935392483917428",
"174323297281680647978503146",
"9248680725006429075147528150"
]
| [
"nonn",
"easy"
]
| 14 | 0 | 2 | [
"A006480",
"A229451",
"A362722",
"A362732",
"A362733"
]
| null | Peter Bala, May 06 2023 | 2024-10-31T01:35:09 | oeisdata/seq/A362/A362733.seq | ae48003b31289541de49e9f9e6b3517c |
A362734 | E.g.f. satisfies A(x) = exp(x + x * A(x)^3). | [
"1",
"2",
"16",
"296",
"8512",
"333632",
"16595200",
"1001460224",
"71094759424",
"5805799829504",
"536188352856064",
"55259197654089728",
"6287146625230962688",
"782751635353947865088",
"105852868748672770244608",
"15451195442132410179780608",
"2421355190097788960505856000"
]
| [
"nonn"
]
| 23 | 0 | 2 | [
"A349562",
"A349714",
"A362392",
"A362472",
"A362693",
"A362694",
"A362734",
"A362735"
]
| null | Seiichi Manyama, May 01 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362734.seq | 02b534ecbd4e63f096b263eb7d8f360b |
A362735 | E.g.f. satisfies A(x) = exp(x + x / A(x)^2). | [
"1",
"2",
"-4",
"56",
"-1008",
"25632",
"-833600",
"33067904",
"-1548418816",
"83597525504",
"-5112566055936",
"349330707068928",
"-26374805535322112",
"2180554321981349888",
"-195926186031705505792",
"19010400989418574020608",
"-1980997069982960384409600",
"220651645970702249702326272"
]
| [
"sign"
]
| 19 | 0 | 2 | [
"A349562",
"A349720",
"A362693",
"A362694",
"A362734",
"A362735"
]
| null | Seiichi Manyama, May 01 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362735.seq | 18c12fe7c9595023d1aa8f89e88cf8d9 |
A362736 | E.g.f. satisfies A(x) = exp(x^2 + x / A(x)). | [
"1",
"1",
"1",
"4",
"-3",
"96",
"-755",
"10368",
"-147623",
"2492416",
"-47137959",
"996741120",
"-23260103339",
"594198429696",
"-16492683271259",
"494278721929216",
"-15908038836914895",
"547238863907586048",
"-20038031401448021327",
"778147549666716155904",
"-31943565308583934360019"
]
| [
"sign"
]
| 16 | 0 | 4 | [
"A362690",
"A362693",
"A362736",
"A362737"
]
| null | Seiichi Manyama, May 01 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362736.seq | b3940aa7b1aced4c461c4b0c472bb03f |
A362737 | E.g.f. satisfies A(x) = exp(x^3 + x / A(x)). | [
"1",
"1",
"-1",
"10",
"-27",
"316",
"-3725",
"63666",
"-1177687",
"25196536",
"-607345209",
"16391726110",
"-488872392371",
"15968546353332",
"-566886190710853",
"21733419523383946",
"-894910999976666415",
"39390009619800983536",
"-1845602126785662907121",
"91714859182521808208694"
]
| [
"sign"
]
| 15 | 0 | 4 | [
"A362691",
"A362693",
"A362736",
"A362737"
]
| null | Seiichi Manyama, May 01 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362737.seq | c93d0fad095d819e33c5da24b3f4f6b9 |
A362738 | a(n) is the least nonnegative integer solution for y such that x > 1 is an integer in the equation n^y*x^n = n^(x^(1/n)). | [
"0",
"0",
"192",
"3000",
"46440",
"823200",
"16776704",
"387419760",
"9999999000",
"285311669280",
"8916100446528",
"302875106590056",
"11112006825555272",
"437893890380856000",
"18446744073709547520",
"827240261886336759264",
"39346408075296537569592",
"1978419655660313589117120",
"104857599999999999999992000"
]
| [
"nonn",
"easy"
]
| 23 | 2 | 3 | [
"A000312",
"A058126",
"A073084",
"A362738"
]
| null | Thomas Scheuerle, May 01 2023 | 2023-08-06T14:12:14 | oeisdata/seq/A362/A362738.seq | 2791128101a236f1db7075f1f7fbe126 |
A362739 | The smallest integer with three (not necessarily distinct) divisors that add to n. | [
"1",
"2",
"2",
"2",
"3",
"4",
"3",
"4",
"5",
"4",
"6",
"6",
"5",
"8",
"8",
"6",
"9",
"8",
"7",
"10",
"11",
"8",
"10",
"12",
"9",
"12",
"14",
"10",
"15",
"16",
"11",
"16",
"14",
"12",
"18",
"18",
"13",
"16",
"20",
"14",
"21",
"20",
"15",
"22",
"23",
"16",
"21",
"20",
"17",
"24",
"26",
"18",
"22",
"24",
"19",
"28",
"29",
"20",
"30"
]
| [
"nonn",
"easy"
]
| 22 | 3 | 2 | [
"A020639",
"A060681",
"A362739"
]
| null | Kyan Cheung, May 01 2023 | 2023-06-22T03:34:37 | oeisdata/seq/A362/A362739.seq | 52a7528da704c657573c92057beacd07 |
A362740 | Dimension of the vector space of 4-invariants on simple 01-labeled graphs on n vertices. | [
"2",
"5",
"11",
"26",
"58",
"131",
"283"
]
| [
"hard",
"more",
"nonn"
]
| 20 | 1 | 1 | [
"A000666",
"A244742",
"A362740"
]
| null | Max Alekseyev, May 01 2023 | 2025-01-08T11:38:57 | oeisdata/seq/A362/A362740.seq | a9c4cfb6e091d835a9d82a134702337b |
A362741 | Number of parking functions of size n avoiding the pattern 123. | [
"1",
"1",
"3",
"11",
"48",
"232",
"1207",
"6631",
"37998",
"225182",
"1371560",
"8546760",
"54294880",
"350658336",
"2297296991",
"15239785151",
"102218278626",
"692361482818",
"4730891905450",
"32581995322522",
"226000929559056",
"1577824515023456",
"11080975421752488",
"78244477268207656"
]
| [
"nonn",
"easy"
]
| 33 | 0 | 3 | [
"A000108",
"A075427",
"A362595",
"A362596",
"A362597",
"A362741",
"A362744"
]
| null | Lara Pudwell, May 01 2023 | 2024-01-11T09:20:00 | oeisdata/seq/A362/A362741.seq | 456373a96aff6d45562e75476e2bedbb |
A362742 | Decimal expansion of Sum_{k>=1} (-1)^(k+1)*floor(sqrt(k))/k. | [
"5",
"9",
"1",
"5",
"6",
"0",
"7",
"7",
"9",
"3",
"4",
"9",
"8",
"1",
"7",
"3",
"4",
"0",
"2",
"1",
"3",
"8",
"4",
"6",
"9",
"0",
"3",
"3",
"4",
"5",
"3",
"4",
"3",
"4",
"6",
"9",
"5",
"6",
"2",
"3",
"5",
"3",
"8",
"9",
"6",
"2",
"5",
"4",
"5",
"6",
"7",
"1",
"7",
"4",
"6",
"8",
"1",
"0",
"7",
"6",
"8",
"4",
"5",
"9",
"1",
"6",
"5",
"5",
"7",
"9",
"8",
"0",
"5",
"3",
"0",
"2",
"4",
"9",
"5",
"9",
"0",
"8",
"3",
"6",
"2",
"7",
"0",
"4",
"7",
"2",
"9",
"0",
"7",
"8",
"7",
"6",
"2",
"7",
"6",
"9",
"7",
"8",
"3",
"8",
"2",
"7"
]
| [
"nonn",
"cons"
]
| 28 | 0 | 1 | [
"A000196",
"A113024",
"A362742"
]
| null | Amiram Eldar, May 02 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362742.seq | af4464cdc6072758c1daacb77e312594 |
A362743 | Positive integers which cannot be written as a sum of distinct numbers of the form 4^a + 5^b (a,b >= 0). | [
"1",
"3",
"4",
"10",
"12",
"18"
]
| [
"nonn",
"more"
]
| 35 | 1 | 2 | [
"A226806",
"A226807",
"A226808",
"A226810",
"A226812",
"A362743",
"A362861"
]
| null | Zhi-Wei Sun, May 01 2023 | 2023-11-02T14:19:16 | oeisdata/seq/A362/A362743.seq | f7ead506a25465c73bc0d8d2447622bf |
A362744 | Number of parking functions of size n avoiding the patterns 312 and 321. | [
"1",
"1",
"3",
"13",
"63",
"324",
"1736",
"9589",
"54223",
"312369",
"1826847",
"10818156",
"64737684",
"390877456",
"2378312780",
"14568360645",
"89766137967",
"556008951667",
"3459976045201",
"21621154097573",
"135619427912599",
"853590782088272",
"5389272616262656",
"34123058549079788",
"216621704634708868"
]
| [
"nonn"
]
| 32 | 0 | 3 | [
"A000108",
"A006013",
"A362595",
"A362596",
"A362597",
"A362741",
"A362744"
]
| null | Lara Pudwell, May 01 2023 | 2024-04-13T09:15:55 | oeisdata/seq/A362/A362744.seq | f64d785fd2d430a44c48da10e2257d42 |
A362745 | Triangular array read by rows. T(n,k) is the number of ordered pairs of n-permutations with exactly k rise/falls or fall/rises, n >= 0, 0 <= k <= max{0,n-1}. | [
"1",
"1",
"2",
"2",
"10",
"16",
"10",
"88",
"200",
"200",
"88",
"1216",
"3536",
"4896",
"3536",
"1216",
"24176",
"85872",
"149152",
"149152",
"85872",
"24176",
"654424",
"2743728",
"5714472",
"7176352",
"5714472",
"2743728",
"654424",
"23136128",
"111842432",
"270769536",
"407103104",
"407103104",
"270769536",
"111842432",
"23136128"
]
| [
"nonn",
"tabf"
]
| 24 | 0 | 3 | [
"A001044",
"A060350",
"A259465",
"A362745"
]
| null | Geoffrey Critzer, May 01 2023 | 2025-03-27T02:23:13 | oeisdata/seq/A362/A362745.seq | 8cff6ac31f379af6eb799b97576303d0 |
A362746 | a(1)=a(2)=1; a(n)=The count of all occurrences in the list so far where integer a(n-1) appears adjacent to integer a(n-2). | [
"1",
"1",
"2",
"1",
"2",
"2",
"2",
"3",
"1",
"1",
"4",
"1",
"2",
"3",
"2",
"3",
"3",
"2",
"4",
"1",
"3",
"2",
"5",
"1",
"1",
"6",
"1",
"2",
"4",
"2",
"3",
"6",
"1",
"3",
"3",
"4",
"1",
"4",
"4",
"2",
"4",
"4",
"4",
"5",
"1",
"2",
"5",
"2",
"3",
"7",
"1",
"1",
"8",
"1",
"2",
"6",
"1",
"4",
"5",
"2",
"4",
"5",
"3",
"1",
"4",
"6",
"1",
"5",
"3",
"2",
"8",
"1",
"3",
"5",
"3",
"4",
"2",
"6",
"2",
"3",
"9",
"1",
"1",
"10",
"1",
"2",
"7"
]
| [
"nonn",
"easy",
"look"
]
| 52 | 1 | 3 | [
"A342585",
"A355271",
"A362746",
"A362890"
]
| null | Gavin Lupo, May 01 2023 | 2023-05-10T22:38:41 | oeisdata/seq/A362/A362746.seq | eb397f33ac3b65a056fc40375524c84f |
A362747 | E.g.f. satisfies A(x) = exp(x^2/2 + x * A(x)). | [
"1",
"1",
"4",
"22",
"182",
"1996",
"27412",
"453160",
"8767516",
"194438800",
"4864250096",
"135538060384",
"4163356010728",
"139784741268160",
"5093269640966704",
"200170986137297536",
"8440841773833141008",
"380153135554220691712",
"18212499110682362677312"
]
| [
"nonn"
]
| 15 | 0 | 3 | [
"A143740",
"A349562",
"A362690",
"A362747",
"A362748"
]
| null | Seiichi Manyama, May 02 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362747.seq | 3e165ef28090da4280fe5c1278299e75 |
A362748 | E.g.f. satisfies A(x) = exp(x^3/6 + x * A(x)). | [
"1",
"1",
"3",
"17",
"133",
"1386",
"18097",
"284299",
"5225985",
"110097836",
"2616190831",
"69236871309",
"2019833025157",
"64403044165942",
"2228441614038837",
"83166830262851591",
"3330183199746011713",
"142418071427679810936",
"6478769455582913796475"
]
| [
"nonn"
]
| 14 | 0 | 3 | [
"A349562",
"A362381",
"A362691",
"A362747",
"A362748"
]
| null | Seiichi Manyama, May 02 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362748.seq | 1d6a9c3e6645d7f382d90a0b566473c6 |
A362749 | Run length transform of A362240. | [
"1",
"1",
"2",
"2",
"3",
"1",
"1",
"4",
"4",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"8",
"2",
"2",
"1",
"4",
"3",
"1",
"3",
"1",
"5",
"3",
"1",
"4",
"1",
"2",
"1",
"2",
"2",
"1",
"1",
"2",
"4",
"1",
"1",
"3",
"1",
"1",
"1",
"1",
"1",
"3",
"2",
"1",
"2",
"1",
"3",
"2",
"1",
"2",
"1",
"1",
"2",
"1",
"2",
"2",
"2",
"2",
"4",
"1",
"1",
"1",
"7",
"5",
"1",
"4",
"4",
"2",
"1",
"3",
"1",
"2",
"1",
"1",
"1",
"4",
"3",
"4",
"5",
"1",
"1",
"1",
"1",
"2"
]
| [
"nonn"
]
| 13 | 1 | 3 | [
"A362240",
"A362749"
]
| null | Neal Gersh Tolunsky, May 02 2023 | 2023-05-07T01:09:59 | oeisdata/seq/A362/A362749.seq | a398f49f71a5784d5f7ce2d1868289b8 |
A362750 | Number of total dominating sets in the n-double cone graph. | [
"4",
"16",
"79",
"336",
"1144",
"4351",
"17224",
"67936",
"267919",
"1063216",
"4233904",
"16882191",
"67380304",
"269142736",
"1075602319",
"4299846976",
"17192621224",
"68752838911",
"274965310744",
"1099740514416",
"4398645585679",
"17593754283616",
"70372850295904",
"281485727082511",
"1125928050595744"
]
| [
"nonn",
"easy"
]
| 24 | 1 | 1 | [
"A000032",
"A001638",
"A056594",
"A302603",
"A362750"
]
| null | Eric W. Weisstein, May 02 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362750.seq | 22166a09384a2223ffe1a640341bc86b |
A362751 | Number of total dominating sets in the n-trapezohedral graph. | [
"4",
"36",
"121",
"484",
"1764",
"6561",
"24336",
"91204",
"344569",
"1313316",
"5044516",
"19509889",
"75898944",
"296735076",
"1164925161",
"4588978564",
"18128468164",
"71781662241",
"284767380496",
"1131461944804",
"4501301127129",
"17925960016836",
"71447900614596",
"284964683524609",
"1137186233284864"
]
| [
"nonn",
"easy"
]
| 19 | 1 | 1 | [
"A000032",
"A362751"
]
| null | Eric W. Weisstein, May 02 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362751.seq | d126707138be02bc6abc3c3c26a389b7 |
A362752 | Decimal expansion of Sum_{k>=1} (1/k - sin(1/k)). | [
"1",
"9",
"1",
"8",
"9",
"9",
"0",
"8",
"5",
"5",
"0",
"6",
"2",
"6",
"4",
"8",
"2",
"7",
"9",
"8",
"1",
"1",
"4",
"6",
"0",
"7",
"7",
"2",
"2",
"6",
"4",
"3",
"9",
"8",
"4",
"3",
"4",
"0",
"4",
"3",
"0",
"9",
"1",
"0",
"2",
"3",
"7",
"7",
"5",
"5",
"0",
"9",
"5",
"3",
"9",
"1",
"1",
"7",
"2",
"1",
"2",
"9",
"8",
"0",
"9",
"0",
"7",
"7",
"4",
"8",
"0",
"1",
"2",
"3",
"5",
"1",
"3",
"4",
"0",
"8",
"1",
"2",
"1",
"7",
"0",
"4",
"9",
"4",
"4",
"0",
"2",
"5",
"4",
"2",
"8",
"1",
"6",
"2",
"6",
"8",
"1",
"1",
"7",
"8",
"5"
]
| [
"nonn",
"cons"
]
| 7 | 0 | 2 | [
"A233383",
"A248945",
"A248946",
"A249022",
"A362752",
"A362753"
]
| null | Amiram Eldar, May 02 2023 | 2023-05-02T11:11:17 | oeisdata/seq/A362/A362752.seq | 312f8c2d83df9b9f116b63495a2e57d5 |
A362753 | Decimal expansion of Sum_{k>=1} sin(1/k)/k. | [
"1",
"4",
"7",
"2",
"8",
"2",
"8",
"2",
"3",
"1",
"9",
"5",
"6",
"1",
"8",
"5",
"2",
"9",
"6",
"2",
"9",
"4",
"9",
"4",
"7",
"3",
"8",
"3",
"8",
"2",
"3",
"1",
"4",
"5",
"8",
"2",
"5",
"3",
"2",
"3",
"8",
"6",
"5",
"9",
"2",
"7",
"8",
"7",
"9",
"3",
"0",
"7",
"1",
"7",
"2",
"8",
"1",
"9",
"2",
"2",
"9",
"3",
"7",
"5",
"7",
"2",
"2",
"4",
"3",
"3",
"9",
"0",
"6",
"1",
"0",
"1",
"1",
"5",
"7",
"2",
"2",
"0",
"8",
"1",
"5",
"1",
"3",
"5",
"5",
"0",
"7",
"0",
"4",
"1",
"5",
"0",
"6",
"8",
"9",
"1",
"3",
"3",
"2",
"7",
"5"
]
| [
"nonn",
"cons"
]
| 10 | 1 | 2 | [
"A233383",
"A248945",
"A248946",
"A362752",
"A362753"
]
| null | Amiram Eldar, May 02 2023 | 2023-05-02T14:40:56 | oeisdata/seq/A362/A362753.seq | 101635b54cef35efb3c6898d6244a7da |
A362754 | a(1) = 1, a(2) = 6; for n > 2, a(n) is the smallest positive number that has not yet appeared that shares a factor with a(n-1) and also contains as a factor the smallest prime that is not a factor of a(n-1). | [
"1",
"6",
"10",
"12",
"15",
"18",
"20",
"24",
"30",
"14",
"21",
"28",
"36",
"40",
"42",
"35",
"50",
"45",
"48",
"60",
"56",
"54",
"70",
"63",
"66",
"55",
"22",
"33",
"44",
"72",
"75",
"78",
"65",
"26",
"39",
"52",
"84",
"80",
"90",
"98",
"96",
"100",
"102",
"85",
"34",
"51",
"68",
"108",
"105",
"110",
"99",
"88",
"114",
"95",
"38",
"57",
"76",
"120",
"112",
"126",
"130",
"117",
"104",
"132",
"135",
"138",
"115",
"46",
"69",
"92",
"144"
]
| [
"nonn"
]
| 13 | 1 | 2 | [
"A064413",
"A337687",
"A351495",
"A360519",
"A361606",
"A362754"
]
| null | Scott R. Shannon, May 02 2023 | 2023-05-09T09:55:05 | oeisdata/seq/A362/A362754.seq | 27f4433a24c4af9ccbef8ba1ec752d9f |
A362755 | Irregular triangle read by rows; the n-th row lists the numbers k such that if phi^e appears in the base phi expansion of k then phi^e also appears in the base phi expansion of n (where phi denotes A001622, the golden ratio). | [
"0",
"0",
"1",
"0",
"2",
"0",
"3",
"0",
"1",
"3",
"4",
"0",
"5",
"0",
"6",
"0",
"7",
"0",
"1",
"7",
"8",
"0",
"2",
"7",
"9",
"0",
"3",
"7",
"10",
"0",
"1",
"3",
"4",
"7",
"8",
"10",
"11",
"0",
"12",
"0",
"13",
"0",
"14",
"0",
"1",
"14",
"15",
"0",
"16",
"0",
"17",
"0",
"18",
"0",
"1",
"18",
"19",
"0",
"2",
"18",
"20",
"0",
"3",
"18",
"21",
"0",
"1",
"3",
"4",
"18",
"19",
"21",
"22",
"0",
"5",
"18",
"23",
"0",
"6",
"18",
"24"
]
| [
"nonn",
"base",
"tabf"
]
| 11 | 0 | 5 | [
"A001622",
"A104605",
"A214971",
"A361755",
"A362755"
]
| null | Rémy Sigrist, May 02 2023 | 2023-05-08T09:36:04 | oeisdata/seq/A362/A362755.seq | d49fbb8092d2bda6027ffef0e61c2ecb |
A362756 | Sum of the bits of the "fractional part" of the base-phi representation of n. | [
"0",
"0",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"2",
"2",
"3",
"2",
"2",
"2",
"2",
"1",
"1",
"1",
"2",
"2",
"2",
"3",
"2",
"2",
"2",
"3",
"3",
"3",
"4",
"3",
"3",
"3",
"3",
"2",
"2",
"2",
"3",
"3",
"3",
"3",
"2",
"2",
"2",
"2",
"1",
"1",
"1",
"2",
"2",
"2",
"3",
"2",
"2",
"2",
"3",
"3",
"3",
"4",
"3",
"3",
"3",
"3",
"2",
"2",
"2",
"3",
"3",
"3",
"4",
"3",
"3",
"3",
"4",
"4",
"4",
"5",
"4",
"4",
"4",
"4",
"3",
"3",
"3",
"4",
"4"
]
| [
"nonn"
]
| 6 | 0 | 6 | [
"A055778",
"A362716",
"A362756"
]
| null | Jeffrey Shallit, May 02 2023 | 2023-05-02T12:03:00 | oeisdata/seq/A362/A362756.seq | 78811f818cc4519f921a5aae652243d2 |
A362757 | The number of integers in the set f^n({0}), where f is a variant of the Collatz function that replaces any element x in the argument set with both x/2 and 3*x+1. | [
"1",
"2",
"3",
"5",
"7",
"10",
"15",
"22",
"33",
"48",
"72",
"103",
"153",
"221",
"326",
"477",
"705",
"1036",
"1526",
"2243",
"3310",
"4872",
"7179",
"10582",
"15620",
"23039",
"33995",
"50151",
"73999",
"109170",
"161092",
"237629",
"350590",
"517254",
"763167",
"1126070",
"1661607",
"2451715",
"3617809",
"5338044",
"7876246",
"11621318",
"17147409",
"25300982",
"37331656",
"55082911",
"81275003"
]
| [
"nonn"
]
| 43 | 0 | 2 | [
"A208127",
"A275544",
"A362757"
]
| null | Markus Sigg, May 02 2023 | 2023-05-10T10:41:38 | oeisdata/seq/A362/A362757.seq | 07c3258152c133b3b15392b81a2a9305 |
A362758 | Triangular numbers which are products of six distinct primes. | [
"207690",
"255255",
"274170",
"303810",
"304590",
"323610",
"370230",
"391170",
"426426",
"487578",
"649230",
"650370",
"744810",
"763230",
"856086",
"951510",
"1007490",
"1186570",
"1248990",
"1352190",
"1365378",
"1376970",
"1473186",
"1512930",
"1528626",
"1567335",
"1594005",
"1655290",
"1657110",
"1747515",
"1775670",
"1911990",
"1991010",
"2003001"
]
| [
"nonn"
]
| 25 | 1 | 1 | [
"A000217",
"A067885",
"A362758"
]
| null | Massimo Kofler, May 02 2023 | 2023-06-25T18:47:45 | oeisdata/seq/A362/A362758.seq | 9874662a2d1379d4dd603e8f618a824d |
A362759 | Array read by antidiagonals: T(n,k) is the number of nonisomorphic multisets of derangements of an n-set with k derangements. | [
"1",
"1",
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"1",
"1",
"0",
"1",
"1",
"1",
"1",
"0",
"1",
"2",
"2",
"1",
"1",
"0",
"1",
"2",
"7",
"2",
"1",
"1",
"0",
"1",
"3",
"18",
"16",
"4",
"1",
"1",
"0",
"1",
"3",
"43",
"138",
"84",
"4",
"1",
"1",
"0",
"1",
"4",
"93",
"1559",
"4642",
"403",
"7",
"1",
"1",
"0",
"1",
"4",
"200",
"14337",
"295058",
"211600",
"3028",
"8",
"1",
"1",
"0",
"1",
"5",
"386",
"117053",
"15730237",
"98019999",
"13511246",
"25431",
"12",
"1"
]
| [
"nonn",
"tabl"
]
| 10 | 0 | 19 | [
"A000012",
"A000166",
"A002865",
"A320032",
"A362644",
"A362648",
"A362759",
"A362760",
"A362761",
"A362762"
]
| null | Andrew Howroyd, May 02 2023 | 2023-05-03T21:37:02 | oeisdata/seq/A362/A362759.seq | 63875e8374c27c93ea4e463aec576221 |
A362760 | Number of nonisomorphic unordered pairs of derangements of an n-set. | [
"1",
"0",
"1",
"2",
"7",
"16",
"84",
"403",
"3028",
"25431",
"250377",
"2726361",
"32622807",
"423310642",
"5921052187",
"88759485250",
"1419511438134",
"24123164524402",
"434094104795638",
"8245872981392311",
"164885609163058430",
"3462034812141768953",
"76154237902292661820",
"1751339843001023621169"
]
| [
"nonn"
]
| 6 | 0 | 4 | [
"A000166",
"A362645",
"A362759",
"A362760"
]
| null | Andrew Howroyd, May 02 2023 | 2023-05-03T21:36:58 | oeisdata/seq/A362/A362760.seq | 3b6644d509e0f5646505280c38c0cb1a |
A362761 | Number of nonisomorphic unordered triples of derangements of an n-set. | [
"1",
"0",
"1",
"2",
"18",
"138",
"4642",
"211600",
"13511246",
"1092862024",
"109276859229",
"13221974420985",
"1903936637405380",
"321762396855180477",
"63065061524052355523",
"14189582409276961769144",
"3632522968870016652531332",
"1049797035002712952582167891",
"340133739324533632977813192678"
]
| [
"nonn"
]
| 6 | 0 | 4 | [
"A362646",
"A362759",
"A362760",
"A362761"
]
| null | Andrew Howroyd, May 02 2023 | 2023-05-03T21:36:55 | oeisdata/seq/A362/A362761.seq | 49d25ea4fb447cef6db745cc58202c13 |
A362762 | Number of nonisomorphic multisets of derangements of an n-set with n derangements. | [
"1",
"0",
"1",
"2",
"43",
"14337",
"706921410",
"2997923196044931",
"1444144328636895497029515",
"102283439767915808465814602082093471",
"1365131086334878921752089363480972733171373474663",
"4296984259821021241778301305720225516826609689764873566360067437"
]
| [
"nonn"
]
| 5 | 0 | 4 | [
"A362647",
"A362759",
"A362762"
]
| null | Andrew Howroyd, May 03 2023 | 2023-05-03T21:36:47 | oeisdata/seq/A362/A362762.seq | ca0bf63e66f17993d467bb6e0f881c7d |
A362763 | Array read by antidiagonals: T(n,k) is the number of nonisomorphic k-sets of permutations of an n-set. | [
"1",
"1",
"1",
"0",
"1",
"1",
"0",
"0",
"2",
"1",
"0",
"0",
"1",
"3",
"1",
"0",
"0",
"0",
"5",
"5",
"1",
"0",
"0",
"0",
"6",
"23",
"7",
"1",
"0",
"0",
"0",
"5",
"116",
"89",
"11",
"1",
"0",
"0",
"0",
"3",
"521",
"2494",
"484",
"15",
"1",
"0",
"0",
"0",
"1",
"1931",
"69366",
"87984",
"2904",
"22",
"1",
"0",
"0",
"0",
"0",
"5906",
"1592714",
"15456557",
"4250015",
"22002",
"30",
"1"
]
| [
"nonn",
"tabl"
]
| 15 | 0 | 9 | [
"A000012",
"A000041",
"A362644",
"A362763",
"A362764",
"A362765",
"A362766"
]
| null | Andrew Howroyd, May 03 2023 | 2025-04-09T11:22:09 | oeisdata/seq/A362/A362763.seq | 9931ef5ccb2a08264c1fca2041e74b1b |
A362764 | Number of nonisomorphic 2-sets of permutations of an n-set. | [
"0",
"1",
"5",
"23",
"89",
"484",
"2904",
"22002",
"190555",
"1876337",
"20445337",
"244087420",
"3161870208",
"44155439706",
"661065427533",
"10561205778825",
"179324080364960",
"3224650449785185",
"61218223893368714",
"1223523447160283853",
"25679025453032962132",
"564657001202726477313"
]
| [
"nonn"
]
| 6 | 1 | 3 | [
"A000041",
"A362645",
"A362763",
"A362764",
"A362765"
]
| null | Andrew Howroyd, May 03 2023 | 2023-05-03T21:36:36 | oeisdata/seq/A362/A362764.seq | e5b529f3cdda20eff2912e7943cec957 |
A362765 | Number of nonisomorphic 3-sets of permutations of an n-set. | [
"0",
"0",
"6",
"116",
"2494",
"87984",
"4250015",
"271412031",
"21965480315",
"2195837248568",
"265649147125826",
"38249422194113490",
"6463715127098722285",
"1266831272477388372744",
"285028258253204630333567",
"72965650731125156284328720",
"21086743012582217859035501699"
]
| [
"nonn"
]
| 7 | 1 | 3 | [
"A362646",
"A362763",
"A362764",
"A362765"
]
| null | Andrew Howroyd, May 03 2023 | 2023-05-03T21:36:32 | oeisdata/seq/A362/A362765.seq | 8f9822e2981c697ffb3da571232c79cf |
A362766 | Number of nonisomorphic sets of permutations of an n-set. | [
"2",
"2",
"4",
"24",
"711936",
"11076899964874307395625695676727296"
]
| [
"nonn"
]
| 5 | 0 | 1 | [
"A050923",
"A362763",
"A362766"
]
| null | Andrew Howroyd, May 03 2023 | 2023-05-03T21:36:27 | oeisdata/seq/A362/A362766.seq | c052025fc5fa8e55a5eae3cbb303aebc |
A362767 | Number of multisets of permutations with a combined total of n moved points spanning an initial interval of positive integers. | [
"1",
"0",
"1",
"2",
"16",
"94",
"836",
"8062",
"92434",
"1187780",
"17103983",
"271660992",
"4722454300",
"89127765656",
"1814841101699",
"39650794527652",
"925141689393748",
"22957155125457704",
"603681013763369997",
"16767920412944383544",
"490550926763623941996",
"15076432260424342403648",
"485630804356929583800760"
]
| [
"nonn"
]
| 13 | 0 | 4 | [
"A000166",
"A362767",
"A362768"
]
| null | Andrew Howroyd, May 04 2023 | 2023-05-06T11:12:53 | oeisdata/seq/A362/A362767.seq | 7968717d34fec58be81a8b1829fac111 |
A362768 | Number of sets of permutations with a combined total of n moved points spanning an initial interval of positive integers. | [
"1",
"0",
"1",
"2",
"15",
"94",
"821",
"8012",
"91801",
"1182490",
"17040786",
"270878540",
"4711273549",
"88953035734",
"1811836965167",
"39594694946864",
"924009544908293",
"22932616681816514",
"603112519409366616",
"16753903215777293000",
"490184464040864555114",
"15066307342227139730694",
"485336046152698264379265"
]
| [
"nonn"
]
| 12 | 0 | 4 | [
"A000166",
"A362767",
"A362768"
]
| null | Andrew Howroyd, May 04 2023 | 2023-05-06T11:12:50 | oeisdata/seq/A362/A362768.seq | 9c91c84e0076d6c17a34e7ee7ce283a5 |
A362769 | Minimum number of digits required to represent n only using digits present in n. | [
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"6",
"7",
"4",
"4",
"4",
"3",
"5",
"5",
"4",
"3",
"5",
"6",
"6",
"4",
"3",
"2",
"4",
"4",
"4",
"4",
"3",
"4",
"3",
"4",
"4",
"4",
"2",
"4",
"4",
"4",
"5",
"5",
"5",
"4",
"5",
"3",
"4",
"5",
"3",
"4",
"3",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"5",
"5",
"3",
"4",
"3",
"4",
"4",
"5",
"5",
"4",
"5",
"5",
"5",
"4",
"4",
"4",
"6",
"6",
"4",
"4",
"4",
"4",
"4",
"5",
"5",
"4",
"5",
"5",
"5",
"3",
"3",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"8",
"9"
]
| [
"nonn",
"base"
]
| 33 | 1 | 10 | [
"A043537",
"A362769"
]
| null | Oskar Macholl, Valentin Miakinen, and Walter Robinson, May 02 2023 | 2023-10-16T23:48:45 | oeisdata/seq/A362/A362769.seq | ba4d8fa2edc655e42fbcd9b94e3aa2db |
A362770 | a(n) is the least prime p that ends an increasing sequence x(1), ..., x(n) = p of primes such that x(i) + x(i+1) + 1 is prime for 1 <= i <= n-1. | [
"2",
"7",
"11",
"17",
"19",
"23",
"29",
"31",
"41",
"47",
"53",
"59",
"67",
"71",
"79",
"83",
"89",
"101",
"107",
"113",
"127",
"139",
"157",
"167",
"179",
"191",
"197",
"199",
"227",
"229",
"233",
"257",
"263",
"277",
"293",
"307",
"311",
"331",
"353",
"367",
"383",
"389",
"397",
"431",
"443",
"457",
"461",
"467",
"479",
"487",
"499",
"509",
"521",
"541",
"569",
"593",
"599",
"601",
"617",
"619",
"647",
"653",
"661"
]
| [
"nonn"
]
| 12 | 1 | 1 | [
"A112786",
"A362629",
"A362770"
]
| null | Robert Israel, May 02 2023 | 2023-05-04T06:06:55 | oeisdata/seq/A362/A362770.seq | 5479c61d88093b83019afaa1631335a4 |
A362771 | E.g.f. satisfies A(x) = exp( x * (1+x) * A(x) ). | [
"1",
"1",
"5",
"34",
"353",
"4756",
"80107",
"1617358",
"38145473",
"1029745576",
"31326858611",
"1060716408874",
"39571357618465",
"1612919873514028",
"71321521181852411",
"3400790769764598886",
"173950205958460627073",
"9501239617356541012432",
"551961456374529522954595"
]
| [
"nonn"
]
| 18 | 0 | 3 | [
"A052868",
"A125500",
"A362771"
]
| null | Seiichi Manyama, May 02 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362771.seq | 63e3b28abafb47ff6f3cff8af407b845 |
A362772 | E.g.f. satisfies A(x) = exp( x * (1+x)^2 * A(x) ). | [
"1",
"1",
"7",
"58",
"725",
"11816",
"239047",
"5794972",
"163861609",
"5299694704",
"193052158091",
"7823764856084",
"349236133422013",
"17028109232138824",
"900544754206010383",
"51348494205747851116",
"3140366001277974883793",
"205067625446428300157408"
]
| [
"nonn"
]
| 12 | 0 | 3 | [
"A000272",
"A362771",
"A362772"
]
| null | Seiichi Manyama, May 02 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362772.seq | b58250538c825f59d52f64bcb0abb2d0 |
A362773 | E.g.f. satisfies A(x) = exp( x * (1+x) * A(x)^2 ). | [
"1",
"1",
"7",
"79",
"1377",
"32161",
"947623",
"33746511",
"1410518273",
"67714577857",
"3672410420871",
"222082390164559",
"14817864737168353",
"1081393797641087841",
"85691459902207874471",
"7327398378967991154511",
"672511583942513406768897",
"65943097191889528063033729"
]
| [
"nonn"
]
| 15 | 0 | 3 | [
"A047974",
"A361065",
"A362771",
"A362773"
]
| null | Seiichi Manyama, May 02 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362773.seq | 7673d69d8b7b5035d05af568d339aa82 |
A362774 | E.g.f. satisfies A(x) = exp( x * (1+x)^2 * A(x)^2 ). | [
"1",
"1",
"9",
"115",
"2265",
"59701",
"1981513",
"79441167",
"3736418801",
"201790517833",
"12309193580841",
"837132560820139",
"62809405894333321",
"5154060532188515325",
"459202970647825870313",
"44146740571635016905991",
"4555272678073789024849377",
"502153774773932684443210513"
]
| [
"nonn"
]
| 15 | 0 | 3 | [
"A052750",
"A360547",
"A361278",
"A362772",
"A362774",
"A362776"
]
| null | Seiichi Manyama, May 02 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362774.seq | 1acd73264b8ddcee211905d25e02d57c |
A362775 | E.g.f. satisfies A(x) = exp( x/(1-x)^2 * A(x) ). | [
"1",
"1",
"7",
"70",
"965",
"17216",
"379207",
"9969772",
"305154313",
"10668593008",
"419714689931",
"18358646058644",
"884070662867053",
"46486344447041032",
"2650567497877525423",
"162908800485532424236",
"10737607698626311094033",
"755571950776792829919968"
]
| [
"nonn"
]
| 16 | 0 | 3 | [
"A052868",
"A082579",
"A361065",
"A362775",
"A362776"
]
| null | Seiichi Manyama, May 02 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362775.seq | 502040c5ea428aa6eb93f04918de3038 |
A362776 | E.g.f. satisfies A(x) = exp( x/(1-x)^2 * A(x)^2 ). | [
"1",
"1",
"9",
"127",
"2601",
"70981",
"2433673",
"100697787",
"4886085137",
"272168650441",
"17121437245161",
"1200717094233559",
"92892754255837561",
"7859587210132504653",
"721996671783802854377",
"71564871858940414914451",
"7613407794191946986893857",
"865285095267929315207801233"
]
| [
"nonn"
]
| 13 | 0 | 3 | [
"A082579",
"A361065",
"A362775",
"A362776"
]
| null | Seiichi Manyama, May 02 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362776.seq | e9198789f0e7fa21398c1a980142690b |
A362777 | Triangular array read by rows: T(n,k) = n!*k + 1, n >= 1, 1 <= k <= n. | [
"2",
"3",
"5",
"7",
"13",
"19",
"25",
"49",
"73",
"97",
"121",
"241",
"361",
"481",
"601",
"721",
"1441",
"2161",
"2881",
"3601",
"4321",
"5041",
"10081",
"15121",
"20161",
"25201",
"30241",
"35281",
"40321",
"80641",
"120961",
"161281",
"201601",
"241921",
"282241",
"322561",
"362881",
"725761",
"1088641",
"1451521",
"1814401",
"2177281",
"2540161",
"2903041",
"3265921"
]
| [
"tabl",
"nonn"
]
| 11 | 1 | 1 | [
"A038507",
"A188914",
"A362777",
"A362778",
"A362779"
]
| null | Joe B. Stephen, May 03 2023 | 2023-06-25T01:02:30 | oeisdata/seq/A362/A362777.seq | 52b27719b9b606547c9cfb84e47a76b6 |
A362778 | Triangular array read by rows: T(n,k) is the least prime factor of n!*k + 1, n >= 1, 1 <= k <= n. | [
"2",
"3",
"5",
"7",
"13",
"19",
"5",
"7",
"73",
"97",
"11",
"241",
"19",
"13",
"601",
"7",
"11",
"2161",
"43",
"13",
"29",
"71",
"17",
"15121",
"20161",
"11",
"30241",
"35281",
"61",
"11",
"73",
"161281",
"449",
"241921",
"282241",
"47",
"19",
"293",
"1088641",
"1451521",
"23",
"2177281",
"13",
"2903041",
"17",
"11",
"13",
"10886401",
"233",
"18144001",
"17",
"101",
"29030401",
"32659201",
"43"
]
| [
"tabl",
"nonn"
]
| 10 | 1 | 1 | [
"A051301",
"A362777",
"A362778",
"A362779"
]
| null | Joe B. Stephen, May 03 2023 | 2023-06-25T01:02:57 | oeisdata/seq/A362/A362778.seq | e512725c2884ae553e7c9f47c2803f14 |
A362779 | Triangular array read by rows: T(n,k) is the greatest prime factor of n!*k + 1, n >= 1, 1 <= k <= n. | [
"2",
"3",
"5",
"7",
"13",
"19",
"5",
"7",
"73",
"97",
"11",
"241",
"19",
"37",
"601",
"103",
"131",
"2161",
"67",
"277",
"149",
"71",
"593",
"15121",
"20161",
"79",
"30241",
"35281",
"661",
"7331",
"1657",
"161281",
"449",
"241921",
"282241",
"6863",
"269",
"2477",
"1088641",
"1451521",
"78887",
"2177281",
"5281",
"2903041",
"192113",
"329891",
"29383",
"10886401",
"62297",
"18144001",
"2243",
"251501",
"29030401",
"32659201",
"843907"
]
| [
"tabl",
"nonn"
]
| 12 | 1 | 1 | [
"A002583",
"A362777",
"A362778",
"A362779"
]
| null | Joe B. Stephen, May 03 2023 | 2023-06-25T01:03:19 | oeisdata/seq/A362/A362779.seq | 1077d2573db1c8840805ca15627f7757 |
A362780 | Numbers n having some (possibly non-canonical) base-phi representation x.y, where y is the reverse of x. | [
"0",
"2",
"6",
"14",
"36",
"38",
"94",
"96",
"100",
"246",
"248",
"252",
"260",
"644",
"646",
"650",
"658",
"680",
"682",
"1686",
"1688",
"1692",
"1700",
"1722",
"1724",
"1780",
"1782",
"1786",
"4414",
"4416",
"4420",
"4428",
"4450",
"4452",
"4508",
"4510",
"4514",
"4660",
"4662",
"4666",
"4674",
"11556",
"11558",
"11562",
"11570",
"11592",
"11594"
]
| [
"nonn",
"base"
]
| 12 | 1 | 2 | [
"A330672",
"A362780"
]
| null | Jeffrey Shallit, May 03 2023 | 2023-05-05T07:48:27 | oeisdata/seq/A362/A362780.seq | 86925f009058e00db9baeff71bcf0259 |
A362781 | Natural numbers n for which some base-phi representation of n is anti-palindromic. | [
"0",
"1",
"3",
"4",
"5",
"6",
"8",
"11",
"13",
"14",
"15",
"16",
"21",
"23",
"29",
"31",
"33",
"35",
"37",
"39",
"41",
"43",
"45",
"53",
"55",
"61",
"63",
"76",
"78",
"80",
"86",
"88",
"89",
"91",
"97",
"99",
"100",
"102",
"108",
"110",
"111",
"113",
"119",
"121",
"136",
"138",
"144",
"146",
"158",
"160",
"166",
"168",
"199",
"201",
"203",
"209",
"211",
"223",
"225",
"230",
"231"
]
| [
"nonn",
"base"
]
| 14 | 1 | 3 | [
"A105424",
"A341722",
"A362781"
]
| null | Jeffrey Shallit, May 03 2023 | 2023-05-05T01:36:24 | oeisdata/seq/A362/A362781.seq | bf5e527ff51d161575bc32bb6700c57f |
A362782 | a(n) is the smallest number k whose symmetric representation of sigma(k) shares sections of its border with those of n other numbers. | [
"1",
"2",
"4",
"6",
"12",
"24",
"36",
"60",
"96",
"120",
"330",
"360",
"600",
"630",
"1170",
"1344",
"4760",
"2530",
"4500",
"5292",
"6120",
"9360",
"4200",
"23343",
"17136"
]
| [
"nonn",
"more"
]
| 12 | 1 | 2 | [
"A235791",
"A237270",
"A237271",
"A237591",
"A237593",
"A362782"
]
| null | Hartmut F. W. Hoft, May 03 2023 | 2023-06-11T11:39:10 | oeisdata/seq/A362/A362782.seq | f49a2835c2eb1126bf125f29d211007e |
A362783 | Square array A(n,k) = (n^(2*k + 1) + 1)/(n + 1), n >= 0, k >= 0, read by antidiagonals. | [
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"3",
"1",
"1",
"1",
"11",
"7",
"1",
"1",
"1",
"43",
"61",
"13",
"1",
"1",
"1",
"171",
"547",
"205",
"21",
"1",
"1",
"1",
"683",
"4921",
"3277",
"521",
"31",
"1",
"1",
"1",
"2731",
"44287",
"52429",
"13021",
"1111",
"43",
"1",
"1",
"1",
"10923",
"398581",
"838861",
"325521",
"39991",
"2101",
"57",
"1",
"1",
"1",
"43691",
"3587227",
"13421773",
"8138021",
"1439671"
]
| [
"nonn",
"tabl"
]
| 23 | 0 | 9 | [
"A000012",
"A002061",
"A007583",
"A060884",
"A060888",
"A066443",
"A179897",
"A299960",
"A362783"
]
| null | Juri-Stepan Gerasimov, May 03 2023 | 2024-01-20T15:50:04 | oeisdata/seq/A362/A362783.seq | 8192ab69fb1041dcfb42b03693cd0284 |
A362784 | Least positive integer k with k primitive practical and k*n practical. | [
"1",
"1",
"2",
"1",
"6",
"1",
"6",
"1",
"2",
"2",
"6",
"1",
"6",
"2",
"2",
"1",
"20",
"1",
"20",
"1",
"2",
"6",
"20",
"1",
"6",
"6",
"2",
"1",
"20",
"1",
"20",
"1",
"2",
"6",
"6",
"1",
"20",
"6",
"2",
"1",
"20",
"1",
"20",
"2",
"2",
"6",
"28",
"1",
"6",
"2",
"6",
"2",
"28",
"1",
"6",
"1",
"6",
"6",
"30",
"1",
"30",
"20",
"2",
"1",
"6",
"1",
"30",
"6",
"6",
"2",
"30",
"1",
"30",
"20",
"2",
"6",
"6",
"1",
"42",
"1",
"2",
"20",
"42",
"1",
"6",
"20",
"6",
"1",
"42",
"1",
"6",
"6",
"6",
"20",
"6",
"1",
"42",
"2",
"2",
"1"
]
| [
"nonn"
]
| 6 | 1 | 3 | [
"A005153",
"A210445",
"A267124",
"A362784"
]
| null | Frank M Jackson, May 03 2023 | 2023-05-20T14:43:49 | oeisdata/seq/A362/A362784.seq | dc920f69b13496ee173ad579faf0fcd1 |
A362785 | Size of the support of the Kaplan-Meier product-limit estimator indexed by sample size n. | [
"2",
"3",
"5",
"8",
"15",
"25",
"49",
"83",
"134",
"205",
"409",
"681",
"1361",
"2307",
"3597",
"5088",
"10175",
"16711",
"33421",
"55211",
"76889",
"115397",
"230793",
"383753",
"536994",
"820907",
"1189517",
"1597245",
"3194489",
"5137823",
"10275645",
"16487301",
"22679853",
"33790243",
"48842489",
"60737510",
"121475019",
"204647341",
"303830465",
"391169317"
]
| [
"nonn"
]
| 21 | 1 | 1 | null | null | Yuxin Qin, May 03 2023 | 2023-10-25T09:03:21 | oeisdata/seq/A362/A362785.seq | 85f6a22ae7a01f0de433ef28c9f4aaa9 |
A362786 | Number of unordered triples of disjoint self-avoiding paths with nodes that cover all vertices of a convex n-gon. | [
"0",
"0",
"0",
"5",
"63",
"476",
"2772",
"13680",
"60060",
"241472",
"906048",
"3214848",
"10890880",
"35481600",
"111794176",
"342171648",
"1021031424",
"2979102720",
"8520171520",
"23934468096",
"66156625920",
"180198047744",
"484304486400",
"1285790105600",
"3375480176640",
"8769899593728",
"22567515586560",
"57557594931200"
]
| [
"nonn"
]
| 11 | 3 | 4 | [
"A308914",
"A359404",
"A362786"
]
| null | Ivaylo Kortezov, May 04 2023 | 2023-06-25T16:55:38 | oeisdata/seq/A362/A362786.seq | fa996a5f44a786afd6f334e0e32f6fc9 |
A362787 | Triangle read by rows, T(n, k) = (-1)^k * RisingFactorial(n, k) * FallingFactorial(k - n, k). | [
"1",
"1",
"0",
"1",
"2",
"0",
"1",
"6",
"24",
"0",
"1",
"12",
"120",
"720",
"0",
"1",
"20",
"360",
"5040",
"40320",
"0",
"1",
"30",
"840",
"20160",
"362880",
"3628800",
"0",
"1",
"42",
"1680",
"60480",
"1814400",
"39916800",
"479001600",
"0",
"1",
"56",
"3024",
"151200",
"6652800",
"239500800",
"6227020800",
"87178291200",
"0",
"1",
"72",
"5040",
"332640",
"19958400",
"1037836800",
"43589145600",
"1307674368000",
"20922789888000",
"0"
]
| [
"nonn",
"tabl"
]
| 8 | 0 | 5 | [
"A002378",
"A010050",
"A362787",
"A362846"
]
| null | Peter Luschny, May 05 2023 | 2023-05-05T07:47:00 | oeisdata/seq/A362/A362787.seq | 4c257c42cba967452cf5544bfe93dd00 |
A362788 | Triangle read by rows, T(n, k) = RisingFactorial(n - k, k) * Stirling2(n - k, k), for n >= 0 and 0 <= k <= n//2, where '//' denotes integer division. | [
"1",
"0",
"0",
"1",
"0",
"2",
"0",
"3",
"6",
"0",
"4",
"36",
"0",
"5",
"140",
"60",
"0",
"6",
"450",
"720",
"0",
"7",
"1302",
"5250",
"840",
"0",
"8",
"3528",
"30240",
"16800",
"0",
"9",
"9144",
"151704",
"196560",
"15120",
"0",
"10",
"22950",
"695520",
"1764000",
"453600",
"0",
"11",
"56210",
"2994750",
"13471920",
"7761600",
"332640"
]
| [
"nonn",
"tabf"
]
| 8 | 0 | 6 | [
"A052512",
"A362369",
"A362788",
"A362789"
]
| null | Peter Luschny, May 04 2023 | 2023-05-04T08:56:36 | oeisdata/seq/A362/A362788.seq | 262c79857a65edbbb7b81fd8f3a48af4 |
A362789 | Triangle read by rows. T(n, k) = FallingFactorial(n - k, k) * Stirling2(n - k, k), for n >= 0 and 0 <= k <= n//2, where '//' denotes integer division. | [
"1",
"0",
"0",
"1",
"0",
"2",
"0",
"3",
"2",
"0",
"4",
"18",
"0",
"5",
"84",
"6",
"0",
"6",
"300",
"144",
"0",
"7",
"930",
"1500",
"24",
"0",
"8",
"2646",
"10800",
"1200",
"0",
"9",
"7112",
"63210",
"23400",
"120",
"0",
"10",
"18360",
"324576",
"294000",
"10800",
"0",
"11",
"45990",
"1524600",
"2857680",
"352800",
"720",
"0",
"12",
"112530",
"6717600",
"23496480",
"7056000",
"105840"
]
| [
"nonn",
"tabf"
]
| 7 | 0 | 6 | [
"A362769",
"A362788",
"A362789",
"A362790"
]
| null | Peter Luschny, May 04 2023 | 2023-05-04T08:57:01 | oeisdata/seq/A362/A362789.seq | e50a336ca43b43bf6847603fe7a35ddd |
A362790 | a(n) = Sum_{k=0..n} FallingFactorial(n - k, k) * Stirling2(n - k, k), row sums of A362789. | [
"1",
"0",
"1",
"2",
"5",
"22",
"95",
"450",
"2461",
"14654",
"93851",
"647746",
"4781801",
"37488462",
"310842127",
"2716308194",
"24929090357",
"239556785086",
"2404139609987",
"25139451248418",
"273330944247265",
"3084182865509966",
"36055337388402935",
"436016786153035522",
"5446585683469420205"
]
| [
"nonn"
]
| 5 | 0 | 4 | [
"A362789",
"A362790"
]
| null | Peter Luschny, May 04 2023 | 2023-05-04T08:56:42 | oeisdata/seq/A362/A362790.seq | ba31373ae0f3d08074e8908ec4bcf23f |
A362791 | Triangle of numbers read by rows, T(n, k) = (n*(n-1)*(n-2))*Stirling2(k, 3), for n >= 1 and 1 <= k <= n. | [
"0",
"0",
"0",
"0",
"0",
"6",
"0",
"0",
"24",
"144",
"0",
"0",
"60",
"360",
"1500",
"0",
"0",
"120",
"720",
"3000",
"10800",
"0",
"0",
"210",
"1260",
"5250",
"18900",
"63210",
"0",
"0",
"336",
"2016",
"8400",
"30240",
"101136",
"324576",
"0",
"0",
"504",
"3024",
"12600",
"45360",
"151704",
"486864",
"1524600",
"0",
"0",
"720",
"4320",
"18000",
"64800",
"216720",
"695520",
"2178000",
"6717600"
]
| [
"nonn",
"tabl"
]
| 28 | 1 | 6 | [
"A002024",
"A068605",
"A362685",
"A362791"
]
| null | Igor Victorovich Statsenko, May 04 2023 | 2025-06-21T11:22:06 | oeisdata/seq/A362/A362791.seq | 6c6ceb388859428373e44d4c247e0c7c |
A362792 | Numbers k such that 3*k and 7*k share the same set of digits. | [
"0",
"45",
"75",
"423",
"445",
"450",
"513",
"750",
"891",
"1089",
"1305",
"2382",
"2497",
"4230",
"4445",
"4450",
"4488",
"4491",
"4500",
"4505",
"4513",
"4878",
"5013",
"5045",
"5130",
"5133",
"5868",
"7317",
"7500",
"7686",
"8360",
"8703",
"8891",
"8901",
"8910",
"8911",
"8955",
"8991",
"9756",
"9891",
"10089",
"10449",
"10889",
"10890",
"10891"
]
| [
"nonn",
"base",
"easy"
]
| 46 | 1 | 2 | [
"A008585",
"A008589",
"A093140",
"A362792"
]
| null | Alexandru Petrescu, May 04 2023 | 2023-05-19T07:01:17 | oeisdata/seq/A362/A362792.seq | 5e87f7ea05042d6c7ed8140d0041c277 |
A362793 | Number of vertex cuts in the n-flower graph. | [
"3",
"155",
"2507",
"49557",
"868603",
"14967657",
"250110631",
"4113588929",
"66936671183",
"1082147637327",
"17424128283251",
"279857796333471",
"4488112951508259",
"71909920090958819",
"1151518614109106431",
"18433461016653736185",
"295022509938277616055",
"4721185882918205360925"
]
| [
"nonn",
"easy"
]
| 15 | 1 | 1 | [
"A362793",
"A362807"
]
| null | Eric W. Weisstein, May 04 2023 | 2025-05-27T14:59:14 | oeisdata/seq/A362/A362793.seq | ad1de8c75e444dc94181947aa242f58e |
A362794 | E.g.f. satisfies A(x) = (1+x)^(A(x)^x). | [
"1",
"1",
"0",
"6",
"0",
"170",
"-120",
"12446",
"-35336",
"1832400",
"-12172320",
"469680552",
"-5524990416",
"189586178184",
"-3321122831208",
"111608536026360",
"-2599887499382400",
"90253048158627072",
"-2595580675897337856",
"95720854442948910720",
"-3237436187047116892800"
]
| [
"sign"
]
| 19 | 0 | 4 | [
"A033917",
"A349504",
"A349505",
"A362794",
"A362795",
"A362796",
"A362799"
]
| null | Seiichi Manyama, May 04 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362794.seq | 16c77340d980e75670e55256b9fc81d4 |
A362795 | E.g.f. satisfies A(x) = (1+x)^(A(x)^(x^2)). | [
"1",
"1",
"0",
"0",
"24",
"0",
"-60",
"7980",
"-12992",
"-23184",
"10320480",
"-54616320",
"160009344",
"33740939232",
"-391545030240",
"3173349947040",
"211401523687680",
"-4586955333880320",
"66611949275370240",
"2068372502060292864",
"-82278329345056212480",
"1885659676128917982720"
]
| [
"sign"
]
| 15 | 0 | 5 | [
"A033917",
"A362794",
"A362795",
"A362798",
"A362800"
]
| null | Seiichi Manyama, May 04 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362795.seq | c6a5e967e332bc3aaebddc7a5b40496d |
A362796 | E.g.f. satisfies A(x) = 1/(1-x)^(A(x)^x). | [
"1",
"1",
"2",
"12",
"72",
"650",
"6480",
"80906",
"1121512",
"18069264",
"320204160",
"6348340152",
"136915211664",
"3230148306216",
"82078412377416",
"2248247450065080",
"65771634671679360",
"2052879248516927232",
"67955959831214467584",
"2381716543764159438336"
]
| [
"nonn"
]
| 15 | 0 | 3 | [
"A052813",
"A362794",
"A362796",
"A362798",
"A362799"
]
| null | Seiichi Manyama, May 04 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362796.seq | 1a7b8534531a815d3cc987711e12a5c0 |
A362797 | Number of vertex cuts in the n X n torus grid graph. | [
"114",
"28242",
"20808130",
"52897204000",
"491002382171602",
"17246237428303951946"
]
| [
"nonn",
"more"
]
| 10 | 3 | 1 | [
"A298124",
"A362797",
"A362808"
]
| null | Eric W. Weisstein, May 04 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362797.seq | 3e25a4aba60621ecf5cab0e06610e8a2 |
A362798 | E.g.f. satisfies A(x) = 1/(1-x)^(A(x)^(x^2)). | [
"1",
"1",
"2",
"6",
"48",
"360",
"2820",
"31500",
"393568",
"5111568",
"78491520",
"1345893120",
"24286008384",
"483716087712",
"10526811186528",
"241867328844960",
"5957816820215040",
"157412355684364800",
"4380674530640290560",
"128826276098289179904",
"4010282529115722232320"
]
| [
"nonn"
]
| 16 | 0 | 3 | [
"A052813",
"A362795",
"A362796",
"A362798",
"A362800"
]
| null | Seiichi Manyama, May 04 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362798.seq | d2560394448702e69f197d89aa10a843 |
A362799 | E.g.f. satisfies A(x) = exp( (exp(x) - 1) * A(x)^x ). | [
"1",
"1",
"2",
"11",
"63",
"542",
"5183",
"62211",
"830252",
"12900381",
"220566835",
"4223662522",
"88001471869",
"2007052809465",
"49309469989666",
"1306455781607975",
"36973887007453315",
"1116728635342926570",
"35775769695237122035",
"1213704083311914974899"
]
| [
"nonn"
]
| 17 | 0 | 3 | [
"A000110",
"A052880",
"A361777",
"A362794",
"A362796",
"A362799",
"A362800"
]
| null | Seiichi Manyama, May 04 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362799.seq | 3dd3da5fbcd794223bbbe24820eaacbe |
A362800 | E.g.f. satisfies A(x) = exp( (exp(x) - 1) * A(x)^(x^2) ). | [
"1",
"1",
"2",
"5",
"39",
"292",
"2063",
"21877",
"271372",
"3298155",
"47855035",
"805112970",
"13843621861",
"261388560253",
"5529798475178",
"122059754102345",
"2863956966387107",
"73150334575839340",
"1961833778207602123",
"55184622355007805281",
"1656027290812446938492"
]
| [
"nonn"
]
| 17 | 0 | 3 | [
"A000110",
"A052880",
"A362571",
"A362795",
"A362798",
"A362799",
"A362800"
]
| null | Seiichi Manyama, May 04 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362800.seq | 76218f0900279913115ecd0659749c6e |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.