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
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A362301 | a(n) = n! * Sum_{k=0..floor(n/3)} n^k * binomial(n-2*k,k)/(n-2*k)!. | [
"1",
"1",
"1",
"19",
"97",
"301",
"13681",
"124951",
"647809",
"46543897",
"612367201",
"4447574011",
"436897375201",
"7505523945349",
"70104150466897",
"8735878156045951",
"185209511009456641",
"2114594302777738801",
"319284313084581674689",
"8053189772356178472547"
]
| [
"nonn"
]
| 19 | 0 | 4 | [
"A362043",
"A362301"
]
| null | Seiichi Manyama, Apr 15 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362301.seq | 37f485387eb619161251a96981dfdc1e |
A362302 | Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/3)} (-k/6)^j * binomial(n-2*j,j)/(n-2*j)!. | [
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"0",
"1",
"1",
"1",
"1",
"-1",
"-3",
"1",
"1",
"1",
"1",
"-2",
"-7",
"-9",
"1",
"1",
"1",
"1",
"-3",
"-11",
"-19",
"-9",
"1",
"1",
"1",
"1",
"-4",
"-15",
"-29",
"1",
"36",
"1",
"1",
"1",
"1",
"-5",
"-19",
"-39",
"31",
"211",
"225",
"1",
"1",
"1",
"1",
"-6",
"-23",
"-49",
"81",
"526",
"1009",
"477",
"1",
"1",
"1",
"1",
"-7",
"-27",
"-59",
"151",
"981",
"2353",
"953",
"-819",
"1"
]
| [
"sign",
"tabl"
]
| 23 | 0 | 20 | [
"A000012",
"A351929",
"A362043",
"A362277",
"A362302",
"A362303",
"A362304",
"A362305",
"A362309"
]
| null | Seiichi Manyama, Apr 15 2023 | 2023-04-16T09:48:49 | oeisdata/seq/A362/A362302.seq | 17175b6fb78c2296308d4c5660ef5b6f |
A362303 | a(n) = n! * Sum_{k=0..floor(n/3)} (-n/6)^k * binomial(n-2*k,k)/(n-2*k)!. | [
"1",
"1",
"1",
"-2",
"-15",
"-49",
"241",
"3186",
"17473",
"-136835",
"-2591199",
"-19940194",
"214217521",
"5280969123",
"52303886545",
"-714177220574",
"-21687847310079",
"-262685369226919",
"4351534043729473",
"157014580915662750",
"2248361900084617201",
"-43790588385118719689"
]
| [
"sign"
]
| 15 | 0 | 4 | [
"A362302",
"A362303"
]
| null | Seiichi Manyama, Apr 15 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362303.seq | 4bd102b4196e1385348b8456bd08a24a |
A362304 | a(n) = n! * Sum_{k=0..floor(n/3)} (-n/3)^k * binomial(n-2*k,k)/(n-2*k)!. | [
"1",
"1",
"1",
"-5",
"-31",
"-99",
"1201",
"13231",
"70785",
"-1362311",
"-21562399",
"-161746749",
"4263108961",
"87979472725",
"849097038609",
"-28416142768649",
"-723086288422399",
"-8532476619366159",
"346207723221680065",
"10474480743776327179",
"146105160034616914401"
]
| [
"sign"
]
| 15 | 0 | 4 | [
"A362300",
"A362302",
"A362304"
]
| null | Seiichi Manyama, Apr 15 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362304.seq | 24dd86501883ff8256daa454978939f0 |
A362305 | a(n) = n! * Sum_{k=0..floor(n/3)} (-n)^k * binomial(n-2*k,k)/(n-2*k)!. | [
"1",
"1",
"1",
"-17",
"-95",
"-299",
"12241",
"122011",
"642433",
"-41645015",
"-597247199",
"-4407324569",
"390913189921",
"7315513279933",
"69439658097265",
"-7816418805235949",
"-180448412456686079",
"-2093964182367814319",
"285679499679525805633",
"7844019340520912230495"
]
| [
"sign"
]
| 16 | 0 | 4 | [
"A362301",
"A362302",
"A362305"
]
| null | Seiichi Manyama, Apr 15 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362305.seq | 611e18ecf4cbc6f2a43783f34f71f9aa |
A362306 | a(n) is the least squarefree semiprime > a(n-1) and coprime to a(n-1), with a(1) = 6. | [
"6",
"35",
"38",
"39",
"46",
"51",
"55",
"57",
"58",
"65",
"69",
"74",
"77",
"82",
"85",
"86",
"87",
"91",
"93",
"94",
"95",
"106",
"111",
"115",
"118",
"119",
"122",
"123",
"133",
"134",
"141",
"142",
"143",
"145",
"146",
"155",
"158",
"159",
"161",
"166",
"177",
"178",
"183",
"185",
"187",
"194",
"201",
"202",
"203",
"205",
"206",
"209",
"213",
"214",
"215",
"217",
"218",
"219",
"221",
"226",
"235",
"237",
"247",
"249"
]
| [
"nonn"
]
| 27 | 1 | 1 | [
"A001222",
"A001358",
"A006881",
"A362306"
]
| null | Zak Seidov and Robert Israel, Apr 17 2023 | 2023-12-27T19:31:23 | oeisdata/seq/A362/A362306.seq | 51c63fe579dea9f7e1c15d313f585cb1 |
A362307 | Row sums of A362370. | [
"1",
"1",
"1",
"2",
"2",
"4",
"4",
"6",
"8",
"11",
"15",
"19",
"23",
"32",
"37",
"48",
"58",
"74",
"88",
"108",
"132",
"158",
"190",
"228",
"273",
"326",
"384",
"456",
"538",
"632",
"740",
"868",
"1015",
"1181",
"1376",
"1598",
"1850",
"2142",
"2473",
"2851",
"3280",
"3770",
"4327",
"4957",
"5674",
"6484",
"7399",
"8433",
"9599",
"10916",
"12395"
]
| [
"nonn"
]
| 6 | 0 | 4 | [
"A362307",
"A362370"
]
| null | Peter Luschny, Apr 17 2023 | 2023-04-18T08:29:19 | oeisdata/seq/A362/A362307.seq | 6b8c741be015d23a29431cbf6276089f |
A362308 | Triangle read by rows. Number of perfect matchings by number of connected components. | [
"1",
"0",
"1",
"0",
"2",
"1",
"0",
"10",
"4",
"1",
"0",
"74",
"24",
"6",
"1",
"0",
"706",
"188",
"42",
"8",
"1",
"0",
"8162",
"1808",
"350",
"64",
"10",
"1",
"0",
"110410",
"20628",
"3426",
"568",
"90",
"12",
"1",
"0",
"1708394",
"273064",
"38886",
"5696",
"850",
"120",
"14",
"1"
]
| [
"nonn",
"tabl",
"more"
]
| 16 | 0 | 5 | [
"A000007",
"A000698",
"A001147",
"A177797",
"A362308"
]
| null | Peter Luschny, Apr 15 2023 | 2023-12-21T02:58:58 | oeisdata/seq/A362/A362308.seq | ebbe895a4a790cfa3f04604f75f3f8b6 |
A362309 | Expansion of e.g.f. exp(x - x^3/3). | [
"1",
"1",
"1",
"-1",
"-7",
"-19",
"1",
"211",
"1009",
"953",
"-14239",
"-105049",
"-209879",
"1669669",
"18057313",
"56255291",
"-294375199",
"-4628130319",
"-19929569471",
"70149241423",
"1652969810521",
"9226206209501",
"-20236475188159",
"-783908527648861",
"-5452368869656367"
]
| [
"sign",
"easy"
]
| 18 | 0 | 5 | [
"A001470",
"A246607",
"A362302",
"A362309"
]
| null | Seiichi Manyama, Apr 15 2023 | 2023-04-16T09:51:26 | oeisdata/seq/A362/A362309.seq | ceffad0edf1d29f3ab5271a2b889811f |
A362310 | Irregular triangle read by rows (row length A056220). Row n lists the integer solutions for x in the equation x - 10^n = x/y (x and y are integers). | [
"2",
"5",
"8",
"9",
"11",
"12",
"15",
"20",
"50",
"75",
"80",
"90",
"95",
"96",
"98",
"99",
"101",
"102",
"104",
"105",
"110",
"120",
"125",
"150",
"200",
"500",
"750",
"800",
"875",
"900",
"950",
"960",
"975",
"980",
"990",
"992",
"995",
"996",
"998",
"999",
"1001",
"1002",
"1004",
"1005",
"1008",
"1010",
"1020",
"1025",
"1040",
"1050",
"1100",
"1125",
"1200",
"1250",
"1500",
"2000"
]
| [
"nonn",
"tabf",
"easy"
]
| 32 | 0 | 1 | [
"A027750",
"A056220",
"A056538",
"A362310",
"A362311"
]
| null | Thomas Scheuerle, Apr 15 2023 | 2023-05-21T09:47:06 | oeisdata/seq/A362/A362310.seq | 16c1da8f5fb211468ffdb49693a3c01f |
A362311 | Triangle read by rows (row length 2*n+1). Row n lists the integer solutions for x in the equation x - 2^n = x/y (x and y are integers). | [
"2",
"1",
"3",
"4",
"2",
"3",
"5",
"6",
"8",
"4",
"6",
"7",
"9",
"10",
"12",
"16",
"8",
"12",
"14",
"15",
"17",
"18",
"20",
"24",
"32",
"16",
"24",
"28",
"30",
"31",
"33",
"34",
"36",
"40",
"48",
"64",
"32",
"48",
"56",
"60",
"62",
"63",
"65",
"66",
"68",
"72",
"80",
"96",
"128",
"64",
"96",
"112",
"120",
"124",
"126",
"127",
"129",
"130",
"132",
"136",
"144",
"160",
"192",
"256",
"128",
"192",
"224",
"240",
"248",
"252",
"254",
"255"
]
| [
"nonn",
"tabf",
"easy"
]
| 28 | 0 | 1 | [
"A036289",
"A362310",
"A362311"
]
| null | Thomas Scheuerle, Apr 15 2023 | 2023-05-20T23:17:31 | oeisdata/seq/A362/A362311.seq | f66d39ebbbed26de25515283dba7f867 |
A362312 | Sierpinski triangle read by rows and filled in the greedy way such that each row, each diagonal and each antidiagonal contains distinct nonnegative values. | [
"0",
"1",
"2",
"2",
"1",
"3",
"0",
"2",
"4",
"4",
"3",
"5",
"1",
"0",
"6",
"6",
"0",
"1",
"5",
"7",
"3",
"4",
"2",
"5",
"8",
"6",
"9",
"8",
"7",
"9",
"4",
"3",
"8",
"10",
"3",
"4",
"11",
"11",
"5",
"6",
"0",
"1",
"3",
"4",
"10",
"12",
"2",
"5",
"13",
"13",
"6",
"4",
"1",
"0",
"7",
"5",
"12",
"14",
"5",
"6",
"7",
"2",
"3",
"9",
"15",
"15",
"7",
"8",
"1",
"9",
"0",
"2",
"5",
"6",
"4",
"10",
"11",
"12",
"13",
"14",
"16",
"16",
"14"
]
| [
"nonn",
"tabf"
]
| 17 | 0 | 3 | [
"A001316",
"A296339",
"A361740",
"A362312",
"A362313"
]
| null | Rémy Sigrist, Apr 15 2023 | 2023-04-18T05:11:54 | oeisdata/seq/A362/A362312.seq | ae36ca9cd573fc4599b52027d7ac3842 |
A362313 | a(n) is the least value in the n-th row of A362312. | [
"0",
"1",
"1",
"0",
"3",
"0",
"0",
"2",
"7",
"3",
"3",
"0",
"2",
"0",
"2",
"0",
"14",
"7",
"5",
"0",
"6",
"1",
"0",
"0",
"9",
"1",
"4",
"0",
"6",
"0",
"0",
"0",
"31",
"11",
"14",
"2",
"15",
"3",
"1",
"0",
"12",
"5",
"6",
"0",
"3",
"0",
"3",
"0",
"13",
"11",
"10",
"0",
"18",
"1",
"2",
"0",
"21",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"63",
"27",
"26",
"9",
"28",
"11",
"12",
"1",
"31",
"10",
"7",
"0",
"14",
"2",
"2",
"0"
]
| [
"nonn"
]
| 12 | 0 | 5 | [
"A362312",
"A362313"
]
| null | Rémy Sigrist, Apr 15 2023 | 2023-04-18T05:11:49 | oeisdata/seq/A362/A362313.seq | 0668fd579238524ee5b8776f92945b8e |
A362314 | a(n) = n! * Sum_{k=0..floor(n/4)} (n/4)^k /(k! * (n-4*k)!). | [
"1",
"1",
"1",
"1",
"25",
"151",
"541",
"1471",
"84001",
"925345",
"5682601",
"25177681",
"2245355641",
"35901100951",
"312222474565",
"1917363070351",
"232479594721921",
"4873115730725761",
"54830346428307601",
"430468886732009185",
"65997947903313461401",
"1711564302775814535511"
]
| [
"nonn"
]
| 18 | 0 | 5 | [
"A277614",
"A362300",
"A362314",
"A362319"
]
| null | Seiichi Manyama, Apr 15 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362314.seq | 20eb92c73a8adf497e9053d7f054a8bb |
A362315 | a(n) = n! * Sum_{k=0..floor(n/4)} (-n/4)^k /(k! * (n-4*k)!). | [
"1",
"1",
"1",
"1",
"-23",
"-149",
"-539",
"-1469",
"77281",
"911737",
"5657401",
"25134121",
"-2065730039",
"-35352993389",
"-310739232803",
"-1913714425349",
"213881558916481",
"4797269708789041",
"54560246286936241",
"429606655679843857",
"-60718212515535701399",
"-1684610587476711352709"
]
| [
"sign"
]
| 17 | 0 | 5 | [
"A362276",
"A362304",
"A362315",
"A362320"
]
| null | Seiichi Manyama, Apr 15 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362315.seq | 6fe4bd5642727638fc458b8f98785baa |
A362316 | Expansion of e.g.f (exp(x)-1)*(exp(2*x)-1). | [
"0",
"0",
"4",
"18",
"64",
"210",
"664",
"2058",
"6304",
"19170",
"58024",
"175098",
"527344",
"1586130",
"4766584",
"14316138",
"42981184",
"129009090",
"387158344",
"1161737178",
"3485735824",
"10458256050",
"31376865304",
"94134790218",
"282412759264",
"847255055010",
"2541798719464",
"7625463267258",
"22876524019504",
"68629840493970"
]
| [
"nonn",
"easy"
]
| 32 | 0 | 3 | [
"A001550",
"A053152",
"A083321",
"A362316"
]
| null | Enrique Navarrete, Apr 16 2023 | 2023-09-01T04:31:54 | oeisdata/seq/A362/A362316.seq | 4627702e0189daf82a19a0f4fae5ff28 |
A362317 | a(n) = n! * Sum_{k=0..floor(n/4)} (n/24)^k /(k! * (n-4*k)!). | [
"1",
"1",
"1",
"1",
"5",
"26",
"91",
"246",
"2801",
"26650",
"159601",
"702406",
"12479941",
"172561676",
"1462655195",
"8918930476",
"215370384321",
"3906667179836",
"42828875064001",
"333816101642140",
"10190496077676901",
"228789539391769336",
"3077152545301687931",
"29203537040556576776"
]
| [
"nonn"
]
| 20 | 0 | 5 | [
"A351932",
"A362173",
"A362314",
"A362317",
"A362336"
]
| null | Seiichi Manyama, Apr 16 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362317.seq | 83935c96fd29fd85f7fc6a1a2ffafed0 |
A362318 | Number of odd semiprimes between 2^(n-1) and 2^n. | [
"0",
"0",
"0",
"0",
"2",
"2",
"7",
"13",
"27",
"52",
"104",
"210",
"398",
"807",
"1542",
"3046",
"5936",
"11565",
"22584",
"44012",
"86062",
"167786",
"327936",
"640630",
"1252327",
"2448518",
"4791344",
"9378159",
"18364095",
"35979682",
"70515477",
"138275503",
"271246674",
"532304906",
"1045047118",
"2052464984",
"4032502528"
]
| [
"nonn"
]
| 27 | 0 | 5 | [
"A036378",
"A046315",
"A120033",
"A362042",
"A362318"
]
| null | Sidney Cadot, Apr 16 2023 | 2023-04-24T09:58:54 | oeisdata/seq/A362/A362318.seq | 0ab5cfd630ae52ba83ce8b5e1e5502ce |
A362319 | a(n) = n! * Sum_{k=0..floor(n/5)} (n/5)^k / (k! * (n-5*k)!). | [
"1",
"1",
"1",
"1",
"1",
"121",
"865",
"3529",
"10753",
"27217",
"7318081",
"96720625",
"689990401",
"3508289929",
"14239793569",
"5933573525881",
"114415115802625",
"1165402803391009",
"8298505279241857",
"46355961619888993",
"26167218073714552321",
"663290722580370585625"
]
| [
"nonn"
]
| 15 | 0 | 6 | [
"A277614",
"A362300",
"A362314",
"A362319"
]
| null | Seiichi Manyama, Apr 16 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362319.seq | 1eae62f315201ece38d37a97f1deceab |
A362320 | a(n) = n! * Sum_{k=0..floor(n/5)} (-n/5)^k / (k! * (n-5*k)!). | [
"1",
"1",
"1",
"1",
"1",
"-119",
"-863",
"-3527",
"-10751",
"-27215",
"7197121",
"96476689",
"689534209",
"3507486841",
"14238448225",
"-5835497948279",
"-114117547235327",
"-1164586980639263",
"-8296447373407871",
"-46351121024513375",
"25734702161134932481",
"661538303263860440041"
]
| [
"sign"
]
| 16 | 0 | 6 | [
"A362276",
"A362304",
"A362315",
"A362320"
]
| null | Seiichi Manyama, Apr 16 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362320.seq | 75bba575cbae124bc8d929e1681564b0 |
A362321 | a(n) = n! * Sum_{k=0..floor(n/4)} n^k /(k! * (n-4*k)!). | [
"1",
"1",
"1",
"1",
"97",
"601",
"2161",
"5881",
"1303681",
"14723857",
"90770401",
"402581521",
"139389608161",
"2284512533161",
"19946635524817",
"122623661651401",
"57728368477678081",
"1240234284406887841",
"14010634784751445441",
"110117252571345122977"
]
| [
"nonn"
]
| 14 | 0 | 5 | [
"A362301",
"A362321",
"A362323"
]
| null | Seiichi Manyama, Apr 16 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362321.seq | ced590234f09f3d5934fd2f16d6aa97a |
A362322 | a(n) = n! * Sum_{k=0..floor(n/4)} (-n)^k / (k! * (n-4*k)!). | [
"1",
"1",
"1",
"1",
"-95",
"-599",
"-2159",
"-5879",
"1276801",
"14669425",
"90669601",
"402407281",
"-136515598559",
"-2275742812199",
"-19922903656655",
"-122565283331399",
"56538094207096321",
"1235380139032068961",
"13993348375743336001",
"110062069784059565665"
]
| [
"sign"
]
| 17 | 0 | 5 | [
"A362282",
"A362305",
"A362322",
"A362324"
]
| null | Seiichi Manyama, Apr 16 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362322.seq | 27efd10d757c4c688a3a7762bfde25b9 |
A362323 | a(n) = n! * Sum_{k=0..floor(n/5)} n^k / (k! * (n-5*k)!). | [
"1",
"1",
"1",
"1",
"1",
"601",
"4321",
"17641",
"53761",
"136081",
"181742401",
"2415576241",
"17245198081",
"87699217321",
"355981385761",
"736792782125401",
"14287010845685761",
"145634558983324321",
"1037210264169367681",
"5794253172081059041",
"16246379099801447769601"
]
| [
"nonn"
]
| 17 | 0 | 6 | [
"A190877",
"A362301",
"A362319",
"A362321",
"A362323"
]
| null | Seiichi Manyama, Apr 16 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362323.seq | 247d0a4d3358b75216d790f2a98f2878 |
A362324 | a(n) = n! * Sum_{k=0..floor(n/5)} (-n)^k / (k! * (n-5*k)!). | [
"1",
"1",
"1",
"1",
"1",
"-599",
"-4319",
"-17639",
"-53759",
"-136079",
"181137601",
"2414356561",
"17242917121",
"87695201881",
"355974659041",
"-734340892685399",
"-14279571631503359",
"-145614163414530719",
"-1037158816523518079",
"-5794132157196668639",
"16192314610730781350401"
]
| [
"sign"
]
| 15 | 0 | 6 | [
"A351906",
"A362282",
"A362305",
"A362320",
"A362322",
"A362324"
]
| null | Seiichi Manyama, Apr 16 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362324.seq | 58affa65073ae2c13c865dbfd465a062 |
A362325 | Table read by antidiagonals: T(n,k) = number of numbers <= n that can be fully factored using the first k prime numbers. | [
"1",
"2",
"1",
"2",
"2",
"1",
"3",
"3",
"2",
"1",
"3",
"4",
"3",
"2",
"1",
"3",
"4",
"4",
"3",
"2",
"1",
"3",
"5",
"5",
"4",
"3",
"2",
"1",
"4",
"5",
"6",
"5",
"4",
"3",
"2",
"1",
"4",
"6",
"6",
"6",
"5",
"4",
"3",
"2",
"1",
"4",
"7",
"7",
"7",
"6",
"5",
"4",
"3",
"2",
"1",
"4",
"7",
"8",
"8",
"7",
"6",
"5",
"4",
"3",
"2",
"1",
"4",
"7",
"9",
"9",
"8",
"7",
"6",
"5",
"4",
"3",
"2",
"1",
"4",
"8",
"9",
"10",
"9",
"8",
"7",
"6"
]
| [
"nonn",
"tabl"
]
| 17 | 1 | 2 | null | null | Sidney Cadot, Apr 16 2023 | 2024-07-09T19:41:49 | oeisdata/seq/A362/A362325.seq | f0d36c4fca53d7cf7c4ea5e3ff82e06b |
A362326 | Pairs (i, j) of nonnegative integers whose ternary expansions have no common digit 1 sorted first by i + j then by i. | [
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"2",
"2",
"0",
"0",
"3",
"1",
"2",
"2",
"1",
"3",
"0",
"0",
"4",
"1",
"3",
"2",
"2",
"3",
"1",
"4",
"0",
"0",
"5",
"2",
"3",
"3",
"2",
"5",
"0",
"0",
"6",
"1",
"5",
"2",
"4",
"4",
"2",
"5",
"1",
"6",
"0",
"0",
"7",
"1",
"6",
"2",
"5",
"5",
"2",
"6",
"1",
"7",
"0",
"0",
"8",
"2",
"6",
"6",
"2",
"8",
"0",
"0",
"9",
"1",
"8",
"2",
"7",
"3",
"6",
"6",
"3",
"7",
"2",
"8",
"1",
"9",
"0",
"0",
"10"
]
| [
"nonn",
"tabf",
"base"
]
| 10 | 1 | 8 | [
"A293974",
"A352909",
"A362326",
"A362327",
"A362328",
"A362329"
]
| null | Rémy Sigrist, Apr 16 2023 | 2023-04-20T03:52:40 | oeisdata/seq/A362/A362326.seq | 8823272b82b8a31a3d0615d4c78f06bd |
A362327 | The i-values of pairs (i, j) listed in A362326. | [
"0",
"0",
"1",
"0",
"2",
"0",
"1",
"2",
"3",
"0",
"1",
"2",
"3",
"4",
"0",
"2",
"3",
"5",
"0",
"1",
"2",
"4",
"5",
"6",
"0",
"1",
"2",
"5",
"6",
"7",
"0",
"2",
"6",
"8",
"0",
"1",
"2",
"3",
"6",
"7",
"8",
"9",
"0",
"1",
"2",
"3",
"4",
"6",
"7",
"8",
"9",
"10",
"0",
"2",
"3",
"5",
"6",
"8",
"9",
"11",
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"11",
"12",
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"11"
]
| [
"nonn",
"base"
]
| 9 | 1 | 5 | [
"A362326",
"A362327",
"A362328"
]
| null | Rémy Sigrist, Apr 16 2023 | 2023-04-20T14:44:46 | oeisdata/seq/A362/A362327.seq | a764ea7e94dde950180fea12980080de |
A362328 | The j-values of pairs (i, j) listed in A362326. | [
"0",
"1",
"0",
"2",
"0",
"3",
"2",
"1",
"0",
"4",
"3",
"2",
"1",
"0",
"5",
"3",
"2",
"0",
"6",
"5",
"4",
"2",
"1",
"0",
"7",
"6",
"5",
"2",
"1",
"0",
"8",
"6",
"2",
"0",
"9",
"8",
"7",
"6",
"3",
"2",
"1",
"0",
"10",
"9",
"8",
"7",
"6",
"4",
"3",
"2",
"1",
"0",
"11",
"9",
"8",
"6",
"5",
"3",
"2",
"0",
"12",
"11",
"10",
"9",
"8",
"7",
"6",
"5",
"4",
"3",
"2",
"1",
"0",
"13",
"12",
"11",
"10",
"9",
"8",
"7",
"6",
"5",
"4",
"3"
]
| [
"nonn",
"base"
]
| 8 | 1 | 4 | [
"A362326",
"A362327",
"A362328"
]
| null | Rémy Sigrist, Apr 16 2023 | 2023-04-20T14:44:56 | oeisdata/seq/A362/A362328.seq | 43ab4c4186be1bec4f59d542b8e01892 |
A362329 | Pairs (i, j) of nonnegative integers whose ternary expansions have a common digit 1 sorted first by i + j then by i. | [
"1",
"1",
"1",
"4",
"4",
"1",
"3",
"3",
"3",
"4",
"4",
"3",
"1",
"7",
"3",
"5",
"4",
"4",
"5",
"3",
"7",
"1",
"4",
"5",
"5",
"4",
"5",
"5",
"1",
"10",
"4",
"7",
"7",
"4",
"10",
"1",
"1",
"13",
"4",
"10",
"7",
"7",
"10",
"4",
"13",
"1",
"3",
"12",
"12",
"3",
"3",
"13",
"4",
"12",
"12",
"4",
"13",
"3",
"1",
"16",
"3",
"14",
"4",
"13",
"5",
"12",
"7",
"10",
"10",
"7",
"12",
"5",
"13",
"4",
"14",
"3",
"16",
"1"
]
| [
"nonn",
"tabf",
"base"
]
| 4 | 1 | 4 | [
"A293974",
"A353296",
"A362326",
"A362329",
"A362330",
"A362331"
]
| null | Rémy Sigrist, Apr 16 2023 | 2023-04-20T09:00:03 | oeisdata/seq/A362/A362329.seq | 9466bbfd91546ccedf94d08f59b0e880 |
A362330 | The i-values of pairs (i, j) listed in A362329. | [
"1",
"1",
"4",
"3",
"3",
"4",
"1",
"3",
"4",
"5",
"7",
"4",
"5",
"5",
"1",
"4",
"7",
"10",
"1",
"4",
"7",
"10",
"13",
"3",
"12",
"3",
"4",
"12",
"13",
"1",
"3",
"4",
"5",
"7",
"10",
"12",
"13",
"14",
"16",
"4",
"5",
"9",
"13",
"14",
"5",
"9",
"10",
"14",
"1",
"4",
"7",
"9",
"10",
"11",
"13",
"16",
"19",
"9",
"10",
"11",
"12",
"9",
"10",
"11",
"12",
"13",
"1",
"4",
"7",
"9",
"10",
"11",
"12",
"13",
"14",
"16"
]
| [
"nonn",
"base"
]
| 8 | 1 | 3 | [
"A362329",
"A362330",
"A362331"
]
| null | Rémy Sigrist, Apr 16 2023 | 2023-04-20T14:45:18 | oeisdata/seq/A362/A362330.seq | 11f81270ac1ec35ecb231c7bd603d1e4 |
A362331 | The j-values of pairs (i, j) listed in A362329. | [
"1",
"4",
"1",
"3",
"4",
"3",
"7",
"5",
"4",
"3",
"1",
"5",
"4",
"5",
"10",
"7",
"4",
"1",
"13",
"10",
"7",
"4",
"1",
"12",
"3",
"13",
"12",
"4",
"3",
"16",
"14",
"13",
"12",
"10",
"7",
"5",
"4",
"3",
"1",
"14",
"13",
"9",
"5",
"4",
"14",
"10",
"9",
"5",
"19",
"16",
"13",
"11",
"10",
"9",
"7",
"4",
"1",
"12",
"11",
"10",
"9",
"13",
"12",
"11",
"10",
"9",
"22",
"19",
"16",
"14",
"13",
"12",
"11",
"10",
"9"
]
| [
"nonn",
"base"
]
| 8 | 1 | 2 | [
"A362329",
"A362330",
"A362331"
]
| null | Rémy Sigrist, Apr 16 2023 | 2023-04-20T14:44:33 | oeisdata/seq/A362/A362331.seq | 7c90c847149f121e431a4365bbfa8eb0 |
A362332 | For n > 1, if n appears in the sequence then a(n) = lastindex(n), where lastindex(n) is the index of the last appearance of n. Otherwise a(n+1) = a(n)/(n+1) if (n+1)|a(n), otherwise a(n)*(n+1), a(1) = 1 and a(2) = 1*2. | [
"1",
"2",
"6",
"24",
"120",
"3",
"21",
"168",
"1512",
"15120",
"166320",
"13860",
"180180",
"12870",
"858",
"13728",
"233376",
"4200768",
"79814592",
"1596291840",
"7",
"154",
"3542",
"4",
"100",
"2600",
"70200",
"1965600",
"57002400",
"1900080",
"58902480",
"1884879360",
"62201018880"
]
| [
"nonn"
]
| 33 | 1 | 2 | [
"A008336",
"A340612",
"A362332"
]
| null | Kelvin Voskuijl, Apr 16 2023 | 2023-06-29T10:59:56 | oeisdata/seq/A362/A362332.seq | 78f2605183b87cd99a9982a9e9664752 |
A362333 | Least nonnegative integer k such that (gpf(n)!)^k is divisible by n, where gpf(n) is the greatest prime factor of n. | [
"0",
"1",
"1",
"2",
"1",
"1",
"1",
"3",
"2",
"1",
"1",
"2",
"1",
"1",
"1",
"4",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"3",
"2",
"1",
"3",
"1",
"1",
"1",
"1",
"5",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"4",
"2",
"2",
"1",
"1",
"1",
"3",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"6",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"3",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"2",
"4",
"1",
"1",
"1",
"1",
"1",
"1"
]
| [
"nonn"
]
| 8 | 1 | 4 | [
"A006530",
"A051903",
"A057109",
"A088388",
"A362333",
"A371148",
"A371149",
"A371151",
"A371152"
]
| null | Pontus von Brömssen, Apr 16 2023 | 2024-03-22T09:17:11 | oeisdata/seq/A362/A362333.seq | 2a7fd78ab6e3c3138a868b24112c7d70 |
A362334 | a(n) = A000010(n) + A000010(n+2), where A000010 is the Euler phi-function. | [
"3",
"3",
"6",
"4",
"10",
"6",
"12",
"8",
"16",
"8",
"22",
"10",
"20",
"14",
"24",
"14",
"34",
"14",
"30",
"18",
"34",
"18",
"42",
"20",
"38",
"24",
"46",
"20",
"58",
"24",
"50",
"32",
"44",
"28",
"60",
"30",
"60",
"34",
"64",
"28",
"82",
"32",
"66",
"42",
"70",
"38",
"88",
"36",
"74",
"44",
"84",
"42",
"92",
"42",
"76",
"52",
"94",
"44",
"118",
"46",
"96",
"62",
"84",
"52",
"114",
"52",
"110"
]
| [
"nonn"
]
| 17 | 1 | 1 | [
"A000010",
"A092404",
"A362334"
]
| null | Alexandre Herrera, Apr 16 2023 | 2023-05-28T13:25:20 | oeisdata/seq/A362/A362334.seq | add0a526031759b25c2a2b88e7ad2f4b |
A362335 | Lexicographically earliest sequence of distinct nonnegative terms wherein every digit of a(n) is the absolute difference of two adjacent digits in a(n+1). | [
"0",
"11",
"10",
"100",
"110",
"112",
"102",
"1002",
"1022",
"1102",
"1120",
"1124",
"1026",
"10028",
"10086",
"10082",
"10866",
"10822",
"10886",
"10882",
"11086",
"11082",
"11208",
"11976",
"10928",
"100913",
"10096",
"10093",
"10966",
"10933",
"10996",
"10993",
"11096",
"11093",
"22309",
"11309",
"23009",
"13009",
"23099",
"13099",
"23309"
]
| [
"nonn",
"base"
]
| 44 | 1 | 2 | null | null | Eric Angelini and Hans Havermann, May 27 2023 | 2023-05-28T11:34:13 | oeisdata/seq/A362/A362335.seq | 260e31c06822155ee2bf73241f0124ca |
A362336 | a(n) = n! * Sum_{k=0..floor(n/5)} (n/120)^k /(k! * (n-5*k)!). | [
"1",
"1",
"1",
"1",
"1",
"6",
"37",
"148",
"449",
"1135",
"15121",
"172789",
"1207009",
"6106816",
"24748725",
"510855346",
"8524169473",
"84981641837",
"602009065729",
"3357322881625",
"93871272204481",
"2059974308136466",
"26683062726210661",
"243032907824598816",
"1725747644222610625"
]
| [
"nonn"
]
| 26 | 0 | 6 | [
"A275423",
"A362173",
"A362317",
"A362319",
"A362323",
"A362336"
]
| null | Seiichi Manyama, Apr 16 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362336.seq | bb3bcc294684e5228fa1c8a6d6bdfcbf |
A362337 | a(n) = n! * Sum_{k=0..floor(n/2)} (-k)^k / (k! * (n-2*k)!). | [
"1",
"1",
"-1",
"-5",
"37",
"221",
"-2549",
"-21041",
"342665",
"3604537",
"-75816809",
"-970017949",
"25012223149",
"377031935125",
"-11513789879773",
"-199833956857289",
"7052339905578001",
"138505710577529969",
"-5546345926322582225",
"-121599560980889072693",
"5447342134797972438581"
]
| [
"sign"
]
| 17 | 0 | 4 | [
"A069856",
"A362337",
"A362338",
"A362339",
"A362347"
]
| null | Seiichi Manyama, Apr 17 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362337.seq | 36186c42b11f5f8304a4e84d3a01cdb9 |
A362338 | a(n) = n! * Sum_{k=0..floor(n/3)} (-k)^k / (k! * (n-3*k)!). | [
"1",
"1",
"1",
"-5",
"-23",
"-59",
"1321",
"9871",
"39985",
"-1512503",
"-16027919",
"-89148509",
"4751428441",
"65256458125",
"461686022617",
"-31737431328329",
"-535583971806239",
"-4599769739165039",
"387180506424212065",
"7750866424109754187",
"78298694889496869961",
"-7798395141074580424619"
]
| [
"sign"
]
| 17 | 0 | 4 | [
"A069856",
"A362337",
"A362338",
"A362339",
"A362348"
]
| null | Seiichi Manyama, Apr 17 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362338.seq | c8b842867d2ddd9aa5e2f12406c183c2 |
A362339 | a(n) = n! * Sum_{k=0..floor(n/4)} (-k)^k / (k! * (n-4*k)!). | [
"1",
"1",
"1",
"1",
"-23",
"-119",
"-359",
"-839",
"78961",
"722737",
"3623761",
"13297681",
"-2115602279",
"-27917827079",
"-195909017303",
"-980236890359",
"219254440161121",
"3780662914771681",
"34105981790126881",
"216149350680413857",
"-62275804867272039479",
"-1325952502191492278039"
]
| [
"sign"
]
| 14 | 0 | 5 | [
"A069856",
"A362337",
"A362338",
"A362339",
"A362349"
]
| null | Seiichi Manyama, Apr 17 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362339.seq | 11a8d9d7e0f5caa5b6ab90a46f35ffb0 |
A362340 | a(n) = n! * Sum_{k=0..floor(n/2)} (-k/2)^k / (k! * (n-2*k)!). | [
"1",
"1",
"0",
"-2",
"7",
"51",
"-239",
"-2435",
"16353",
"209377",
"-1826099",
"-28232379",
"303020125",
"5494172893",
"-70032035163",
"-1457369472299",
"21512472563281",
"505400696581905",
"-8478758871011807",
"-221971772323923263",
"4171251104170567101",
"120416449897739144941"
]
| [
"sign"
]
| 12 | 0 | 4 | [
"A069856",
"A362276",
"A362340",
"A362341",
"A362342"
]
| null | Seiichi Manyama, Apr 17 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362340.seq | ad9a3b67645f5f1d88627a7ba2721bd4 |
A362341 | a(n) = n! * Sum_{k=0..floor(n/3)} (-k/6)^k / (k! * (n-3*k)!). | [
"1",
"1",
"1",
"0",
"-3",
"-9",
"21",
"246",
"1065",
"-4283",
"-67319",
"-397484",
"2315941",
"45914155",
"343743037",
"-2623221054",
"-62980998639",
"-571382718039",
"5391435590545",
"152175023203432",
"1622112809355661",
"-18232162910685569",
"-591788241447761819",
"-7247966654986009490"
]
| [
"sign"
]
| 14 | 0 | 5 | [
"A069856",
"A351929",
"A362303",
"A362340",
"A362341",
"A362342",
"A362348"
]
| null | Seiichi Manyama, Apr 17 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362341.seq | 11bad88312f00d17c4aa5fc2096888b1 |
A362342 | a(n) = n! * Sum_{k=0..floor(n/4)} (-k/24)^k / (k! * (n-4*k)!). | [
"1",
"1",
"1",
"1",
"0",
"-4",
"-14",
"-34",
"71",
"1135",
"6091",
"22771",
"-87119",
"-1847559",
"-13769755",
"-70046339",
"390688481",
"10473961121",
"100030347361",
"643972996705",
"-4717305354419",
"-153449916040259",
"-1787926183752939",
"-13926752488607419",
"126329848106764765"
]
| [
"sign"
]
| 13 | 0 | 6 | [
"A069856",
"A351930",
"A362340",
"A362341",
"A362342",
"A362345",
"A362349"
]
| null | Seiichi Manyama, Apr 17 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362342.seq | 75930ad5d67c4a3affd6009626603f83 |
A362343 | Sequence that alternately doubles and squares the previous number; a(0) = 1. | [
"1",
"2",
"4",
"8",
"64",
"128",
"16384",
"32768",
"1073741824",
"2147483648",
"4611686018427387904",
"9223372036854775808",
"85070591730234615865843651857942052864",
"170141183460469231731687303715884105728",
"28948022309329048855892746252171976963317496166410141009864396001978282409984"
]
| [
"nonn",
"easy"
]
| 21 | 0 | 2 | [
"A000079",
"A075427",
"A362343"
]
| null | Christopher Roat, Apr 17 2023 | 2023-04-23T02:19:05 | oeisdata/seq/A362/A362343.seq | bd93bcae6bd96af0d85194c3908d5129 |
A362344 | Maximum number of distinct real roots of degree-n polynomial with coefficients 0,1. | [
"1",
"2",
"2",
"2",
"2",
"2",
"3",
"3",
"3",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"6",
"6",
"6",
"6",
"6"
]
| [
"nonn",
"more"
]
| 50 | 1 | 2 | [
"A362344",
"A368774",
"A368824"
]
| null | Keyang Li, May 05 2023 | 2024-09-03T00:59:29 | oeisdata/seq/A362/A362344.seq | dc26bf4ff124424d2a9e6505929b1691 |
A362345 | a(n) = n! * Sum_{k=0..floor(n/4)} (-n/24)^k /(k! * (n-4*k)!). | [
"1",
"1",
"1",
"1",
"-3",
"-24",
"-89",
"-244",
"1681",
"24382",
"155401",
"695146",
"-7490339",
"-157336464",
"-1421454033",
"-8817579224",
"129268310081",
"3555528110716",
"41578411339441",
"329824291072252",
"-6116622750516899",
"-207991913454970784",
"-2985298421745508329"
]
| [
"sign"
]
| 13 | 0 | 5 | [
"A351930",
"A362303",
"A362345",
"A362346"
]
| null | Seiichi Manyama, Apr 16 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362345.seq | 38701ec339edbcf4f68b96eb46b9e7b9 |
A362346 | a(n) = n! * Sum_{k=0..floor(n/5)} (-n/120)^k /(k! * (n-5*k)!). | [
"1",
"1",
"1",
"1",
"1",
"-4",
"-35",
"-146",
"-447",
"-1133",
"10081",
"162625",
"1188001",
"6073354",
"24692669",
"-340585244",
"-8007557375",
"-83565282891",
"-598436312543",
"-3348919070207",
"62583951520321",
"1933207863670000",
"26224985071994941",
"241528060568764586",
"1721188205642283841"
]
| [
"sign"
]
| 15 | 0 | 6 | [
"A351931",
"A362303",
"A362345",
"A362346"
]
| null | Seiichi Manyama, Apr 16 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362346.seq | 62c736dfe40f5b9f9db91a439647c463 |
A362347 | a(n) = n! * Sum_{k=0..floor(n/2)} k^k / (k! * (n-2*k)!). | [
"1",
"1",
"3",
"7",
"61",
"261",
"3991",
"24403",
"524217",
"4149001",
"114544171",
"1111976031",
"37492210933",
"431097055117",
"17165526306111",
"228085258466731",
"10472666396599921",
"157882659583461393",
"8211536252680154707",
"138474928851961700791",
"8045878340298511456941"
]
| [
"nonn"
]
| 17 | 0 | 3 | [
"A086331",
"A277614",
"A362347",
"A362348",
"A362349"
]
| null | Seiichi Manyama, Apr 17 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362347.seq | ddf754049abc1715641c8fec3a927880 |
A362348 | a(n) = n! * Sum_{k=0..floor(n/3)} k^k / (k! * (n-3*k)!). | [
"1",
"1",
"1",
"7",
"25",
"61",
"1561",
"10291",
"40657",
"1754425",
"16632721",
"90479071",
"5469933481",
"67591594357",
"468224398825",
"36386954606731",
"554182030325281",
"4663003095358321",
"442756825853252257",
"8014853488848923575",
"79354642490200806841",
"8901962495566386752941"
]
| [
"nonn"
]
| 17 | 0 | 4 | [
"A086331",
"A362347",
"A362348",
"A362349"
]
| null | Seiichi Manyama, Apr 17 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362348.seq | 466b151e4acb6bb7c33e3c370868e3ef |
A362349 | a(n) = n! * Sum_{k=0..floor(n/4)} k^k / (k! * (n-4*k)!). | [
"1",
"1",
"1",
"1",
"25",
"121",
"361",
"841",
"82321",
"728785",
"3633841",
"13313521",
"2195435881",
"28125394441",
"196393341145",
"981274727161",
"227100486456481",
"3807339471993121",
"34186011461595361",
"216366574074187105",
"64438384450412161081",
"1335035336388170601241"
]
| [
"nonn"
]
| 15 | 0 | 5 | [
"A086331",
"A362347",
"A362348",
"A362349"
]
| null | Seiichi Manyama, Apr 17 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362349.seq | 5778a79c0ab2a8c7e704dbc8ffcd3c15 |
A362350 | a(n) = n! * Sum_{k=0..floor(n/2)} (k/2)^k / (k! * (n-2*k)!). | [
"1",
"1",
"2",
"4",
"19",
"71",
"601",
"3277",
"39089",
"277489",
"4250341",
"37110701",
"693581197",
"7184750509",
"158461520309",
"1899055549861",
"48269252293201",
"656869268651537",
"18903165795857089",
"287927838327392929",
"9252988524143245181",
"155954097639111859501"
]
| [
"nonn"
]
| 17 | 0 | 3 | [
"A277614",
"A362350",
"A362351",
"A362352"
]
| null | Seiichi Manyama, Apr 17 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362350.seq | 5ec291542e825d80aad8492ef60e3608 |
A362351 | a(n) = n! * Sum_{k=0..floor(n/3)} (k/6)^k / (k! * (n-3*k)!). | [
"1",
"1",
"1",
"2",
"5",
"11",
"61",
"316",
"1177",
"11005",
"84121",
"434446",
"5642781",
"56725527",
"374014005",
"6211205456",
"77331975281",
"620174850521",
"12539310726577",
"186125334960730",
"1757911008913141",
"41887694462674691",
"721886016954223661",
"7846403629258814852",
"215270385425700640905"
]
| [
"nonn"
]
| 17 | 0 | 4 | [
"A362173",
"A362350",
"A362351",
"A362352"
]
| null | Seiichi Manyama, Apr 17 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362351.seq | fbc665db9086567e2cca2b2e96a4b669 |
A362352 | a(n) = n! * Sum_{k=0..floor(n/4)} (k/24)^k / (k! * (n-4*k)!). | [
"1",
"1",
"1",
"1",
"2",
"6",
"16",
"36",
"211",
"1387",
"6511",
"23431",
"225721",
"2207921",
"14610597",
"71848141",
"958259121",
"12403693681",
"105819536881",
"659686502257",
"11235532306021",
"180826378073461",
"1888306425160541",
"14256573124903341",
"295428115205647117",
"5683724892725141901"
]
| [
"nonn"
]
| 16 | 0 | 5 | [
"A362317",
"A362350",
"A362351",
"A362352"
]
| null | Seiichi Manyama, Apr 17 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362352.seq | a49bb749d72449524b20cbe84f1cd48e |
A362353 | Triangle read by rows: T(n,k) = (-1)^(n-k)*binomial(n, k)*(k+3)^n, for n >= 0, and k = 0,1, ..., n. Coefficients of certain Sidi polynomials. | [
"1",
"-3",
"4",
"9",
"-32",
"25",
"-27",
"192",
"-375",
"216",
"81",
"-1024",
"3750",
"-5184",
"2401",
"-243",
"5120",
"-31250",
"77760",
"-84035",
"32768",
"729",
"-24576",
"234375",
"-933120",
"1764735",
"-1572864",
"531441",
"-2187",
"114688",
"-1640625",
"9797760",
"-28824005",
"44040192",
"-33480783",
"10000000",
"6561",
"-524288",
"10937500",
"-94058496",
"403536070",
"-939524096",
"1205308188",
"-800000000",
"214358881"
]
| [
"sign",
"tabl",
"easy"
]
| 17 | 0 | 2 | [
"A000142",
"A002697",
"A007334",
"A018215",
"A075513",
"A081135",
"A081144",
"A128964",
"A137352",
"A139641",
"A141413",
"A154715",
"A173155",
"A173191",
"A258773",
"A362353"
]
| null | Harlan J. Brothers and Wolfdieter Lang, Apr 27 2023 | 2023-08-02T13:49:21 | oeisdata/seq/A362/A362353.seq | 0b0cd9e4a366703d92c85f97430aff31 |
A362354 | a(n) = 3*(n+3)^(n-1). | [
"1",
"3",
"15",
"108",
"1029",
"12288",
"177147",
"3000000",
"58461513",
"1289945088",
"31813498119",
"867763964928",
"25949267578125",
"844424930131968",
"29713734098717811",
"1124440102746243072",
"45543381089624394897",
"1966080000000000000000",
"90125827485245075684223",
"4372496892684322588065792"
]
| [
"nonn",
"easy"
]
| 25 | 0 | 2 | [
"A137452",
"A232006",
"A362354"
]
| null | Wolfdieter Lang, Apr 24 2023 | 2025-06-19T00:54:15 | oeisdata/seq/A362/A362354.seq | f0540e5db9f83d1c63101ae4b96bd81d |
A362355 | a(n) = 4*(n+4)^(n-1). | [
"1",
"4",
"24",
"196",
"2048",
"26244",
"400000",
"7086244",
"143327232",
"3262922884",
"82644187136",
"2306601562500",
"70368744177664",
"2330488948919044",
"83291859462684672",
"3196026743131536484",
"131072000000000000000",
"5722274760967941313284",
"264999811677837732610048"
]
| [
"nonn",
"easy"
]
| 26 | 0 | 2 | [
"A000272",
"A137452",
"A232006",
"A362355"
]
| null | Wolfdieter Lang, Apr 24 2023 | 2025-06-19T05:57:54 | oeisdata/seq/A362/A362355.seq | 0206ade3c599d853769b0fdab0e62704 |
A362356 | a(n) = 5*(n + 5)^(n-1). | [
"1",
"5",
"35",
"320",
"3645",
"50000",
"805255",
"14929920",
"313742585",
"7378945280",
"192216796875",
"5497558138880",
"171359481538165",
"5784156907130880",
"210264917311285295",
"8192000000000000000",
"340611592914758411505",
"15056807481695325716480",
"705250197803314844630515"
]
| [
"nonn",
"easy"
]
| 26 | 0 | 2 | [
"A000272",
"A137452",
"A232006",
"A362356"
]
| null | Wolfdieter Lang, Apr 24 2023 | 2025-06-19T01:37:44 | oeisdata/seq/A362/A362356.seq | a1b7298da48bab1f6823b586b8637486 |
A362357 | Bisection of Chebyshev {S(n, 5)}_{n>=0}; the even part. | [
"1",
"24",
"551",
"12649",
"290376",
"6665999",
"153027601",
"3512968824",
"80645255351",
"1851327904249",
"42499896542376",
"975646292570399",
"22397364832576801",
"514163744856696024",
"11803368766871431751",
"270963317893186234249"
]
| [
"nonn",
"easy"
]
| 10 | 0 | 2 | [
"A004254",
"A049310",
"A097778",
"A362357"
]
| null | Wolfdieter Lang, Apr 26 2023 | 2023-05-28T11:39:06 | oeisdata/seq/A362/A362357.seq | 06305fff16519ecb07864188616da2eb |
A362358 | Alternating sum of digits of the Fibonacci numbers, with a plus sign for the last digit. | [
"0",
"1",
"1",
"2",
"3",
"5",
"8",
"2",
"-1",
"1",
"0",
"1",
"1",
"2",
"3",
"5",
"8",
"2",
"-1",
"-10",
"0",
"12",
"1",
"2",
"3",
"5",
"-3",
"13",
"-1",
"1",
"-11",
"1",
"12",
"2",
"3",
"5",
"-3",
"13",
"10",
"1",
"0",
"1",
"-10",
"13",
"3",
"-17",
"19",
"-9",
"10",
"1",
"0",
"1",
"12",
"13",
"3",
"-6",
"8",
"2",
"-1",
"-10",
"0",
"1",
"12",
"-9",
"3",
"5",
"-3",
"-9",
"-23",
"1",
"-22",
"34",
"-10",
"2"
]
| [
"sign",
"base",
"look",
"easy"
]
| 17 | 0 | 4 | [
"A000045",
"A004090",
"A007887",
"A055017",
"A060384",
"A105955",
"A362358"
]
| null | Wolfdieter Lang, May 26 2023 | 2024-01-03T19:15:23 | oeisdata/seq/A362/A362358.seq | 2183f9c974e42dd304b064e90b6b15b8 |
A362359 | Triangle T read by rows, obtained from the array A for the solutions of the Monkey and Coconuts Problem (s sailors and one coconut to the monkey). | [
"1",
"2",
"7",
"3",
"15",
"79",
"4",
"23",
"160",
"1021",
"5",
"31",
"241",
"2045",
"15621",
"6",
"39",
"322",
"3069",
"31246",
"279931",
"7",
"47",
"403",
"4093",
"46871",
"559867",
"5764795",
"8",
"55",
"484",
"5117",
"62496",
"839803",
"11529596",
"134217721",
"9",
"63",
"565",
"6141",
"78121",
"1119739",
"17294397",
"268435449",
"3486784393",
"10",
"71",
"646",
"7165",
"93746",
"1399675",
"23059198",
"402653177",
"6973568794",
"99999999991"
]
| [
"nonn",
"tabl",
"easy"
]
| 14 | 1 | 2 | [
"A000027",
"A004771",
"A014293",
"A254029",
"A362359",
"A362360",
"A362361"
]
| null | Richard S. Fischer and Wolfdieter Lang, Jun 20 2023 | 2023-11-17T08:13:58 | oeisdata/seq/A362/A362359.seq | c289fc15f7c1e7c68dce180209540823 |
A362360 | a(n) = 81*n - 2. | [
"79",
"160",
"241",
"322",
"403",
"484",
"565",
"646",
"727",
"808",
"889",
"970",
"1051",
"1132",
"1213",
"1294",
"1375",
"1456",
"1537",
"1618",
"1699",
"1780",
"1861",
"1942",
"2023",
"2104",
"2185",
"2266",
"2347",
"2428",
"2509",
"2590",
"2671",
"2752",
"2833",
"2914",
"2995",
"3076",
"3157"
]
| [
"nonn",
"easy"
]
| 17 | 1 | 1 | [
"A254029",
"A362359",
"A362360"
]
| null | Richard S. Fischer and Wolfdieter Lang, Jun 20 2023 | 2023-11-17T08:06:16 | oeisdata/seq/A362/A362360.seq | 05ae1e630ca5dbae2da4b3ce82f74d03 |
A362361 | a(n) = n*2^10 - 3. | [
"1021",
"2045",
"3069",
"4093",
"5117",
"6141",
"7165",
"8189",
"9213",
"10237",
"11261",
"12285",
"13309",
"14333",
"15357",
"16381",
"17405",
"18429",
"19453",
"20477",
"21501",
"22525",
"23549",
"24573",
"25597",
"26621",
"27645",
"28669",
"29693",
"30717",
"31741",
"32765"
]
| [
"nonn",
"easy",
"less"
]
| 21 | 1 | 1 | [
"A254029",
"A362359",
"A362360",
"A362361"
]
| null | Richard S. Fischer and Wolfdieter Lang, Jun 20 2023 | 2023-11-17T08:06:00 | oeisdata/seq/A362/A362361.seq | 813a1987252ab947c0613fb018323794 |
A362362 | Number of permutations of [n] such that each cycle contains its length as an element. | [
"1",
"1",
"1",
"3",
"8",
"36",
"174",
"1104",
"7440",
"62640",
"545040",
"5649840",
"60681600",
"748621440",
"9518342400",
"136758585600",
"2009451628800",
"32848492723200",
"549241915622400",
"10066913176320000",
"188293339922688000",
"3832031198451456000",
"79291640831090688000",
"1771146970953744384000"
]
| [
"nonn"
]
| 36 | 0 | 4 | [
"A000009",
"A007838",
"A032020",
"A179973",
"A321520",
"A326493",
"A362362",
"A364277",
"A364406"
]
| null | Alois P. Heinz, Jul 05 2023 | 2023-11-15T07:43:25 | oeisdata/seq/A362/A362362.seq | cb9a9320d626bf1742c652281d774e24 |
A362363 | Arm number of the base spiral in A362249 which visits large spiral point n there. | [
"0",
"0",
"2",
"3",
"0",
"0",
"0",
"1",
"0",
"1",
"2",
"0",
"2",
"2",
"0",
"3",
"0",
"0",
"0",
"0",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"0",
"2",
"0",
"2",
"2",
"2",
"3",
"0",
"3",
"0",
"3",
"0",
"0",
"0",
"0",
"0",
"2",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"0",
"2",
"0",
"2",
"0",
"2",
"2",
"2",
"2",
"0",
"3",
"0",
"3",
"0",
"3",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"2",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"2",
"0",
"2"
]
| [
"nonn"
]
| 38 | 1 | 3 | [
"A362249",
"A362265",
"A362363"
]
| null | Tamas Sandor Nagy and Thomas Scheuerle, Apr 17 2023 | 2023-05-28T08:46:03 | oeisdata/seq/A362/A362363.seq | a3ef47d77d3012b04722a08d2bc1f359 |
A362364 | a(n) is the product of the first n primes that are coprime to a(n-1); a(0) = 1. | [
"1",
"2",
"15",
"154",
"3315",
"67298",
"2980185",
"102091066",
"6022953885",
"319238763382",
"24615812527995",
"1654614510608906",
"161405882746063215",
"14284287070086685498",
"1679105398207295625645",
"166597640098421012963174",
"24096841569672899523631395",
"2989927846846361919650083778",
"499069685749495422033929821845"
]
| [
"nonn"
]
| 37 | 0 | 2 | [
"A001222",
"A002110",
"A019565",
"A037481",
"A100112",
"A117214",
"A362364"
]
| null | Robert Israel, Apr 18 2023 | 2023-04-23T22:41:31 | oeisdata/seq/A362/A362364.seq | b3ab9dd53ef21e63daa25c40ec7d5311 |
A362365 | The sum of the coefficients of x^k in the expansion of (x + x^2 + x^3 + x^4 + x^5 + x^6)^n with k divisible by 4. | [
"1",
"9",
"55",
"322",
"1946",
"11664",
"69980",
"419912",
"2519416",
"15116544",
"90699280",
"544195552",
"3265173536",
"19591041024",
"117546246080",
"705277476992",
"4231664861056",
"25389989167104",
"152339935002880",
"914039610015232",
"5484237660094976",
"32905425960566784",
"197432555763399680"
]
| [
"easy",
"nonn"
]
| 35 | 1 | 2 | [
"A000400",
"A009116",
"A362365"
]
| null | Yui Chit Chan, Apr 17 2023 | 2024-08-30T10:18:38 | oeisdata/seq/A362/A362365.seq | 7f6642de7ed77c5fc23e3556e9af7860 |
A362366 | Square array A(n, k), n, k >= 0, read by antidiagonals; A(n, k) is the least base >= 2 where the sum n + k can be computed without carry. | [
"2",
"2",
"2",
"2",
"3",
"2",
"2",
"2",
"2",
"2",
"2",
"3",
"5",
"3",
"2",
"2",
"2",
"3",
"3",
"2",
"2",
"2",
"4",
"2",
"3",
"2",
"4",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"2",
"2",
"2",
"5",
"5",
"4",
"4",
"5",
"5",
"2",
"2",
"2",
"3",
"2",
"6",
"4",
"4",
"4",
"6",
"2",
"3",
"2",
"2",
"2",
"2",
"2",
"4",
"4",
"4",
"4",
"2",
"2",
"2",
"2",
"2",
"5",
"5",
"3",
"2",
"5",
"5",
"5",
"2",
"3",
"5",
"5",
"2"
]
| [
"nonn",
"base",
"tabl"
]
| 14 | 0 | 1 | [
"A321882",
"A362366",
"A362367"
]
| null | Rémy Sigrist, Apr 17 2023 | 2023-07-25T09:51:17 | oeisdata/seq/A362/A362366.seq | 0b23a84aecec6b92f81547fd4507d6e9 |
A362367 | Square array A(n, k), n, k >= 0, read by antidiagonals; A(n, k) is the least base >= 2 where the product n * k can be computed without carry. | [
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"3",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"3",
"2",
"2",
"3",
"2",
"2",
"2",
"2",
"2",
"2",
"3",
"2",
"4",
"2",
"3",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"5",
"5",
"5",
"2",
"2",
"2",
"2",
"2"
]
| [
"nonn",
"base",
"tabl"
]
| 9 | 0 | 1 | [
"A319478",
"A362366",
"A362367"
]
| null | Rémy Sigrist, Apr 17 2023 | 2023-04-20T14:44:11 | oeisdata/seq/A362/A362367.seq | 481a8296c561121a83e2bf6750f94a6f |
A362368 | Number of binary strings of length n which are losing configurations in the palindrome game. | [
"0",
"0",
"2",
"0",
"4",
"0",
"18",
"4",
"56",
"12",
"156",
"80",
"568",
"424",
"1856",
"2080",
"6548",
"8524",
"22430",
"33840",
"80672",
"132704",
"292428",
"510892",
"1079282",
"1955388",
"3990564",
"7453012",
"14928434",
"28406028",
"56125298",
"108156096",
"212297776"
]
| [
"nonn",
"more"
]
| 39 | 0 | 3 | null | null | Kishore Rajesh, Apr 17 2023 | 2023-05-31T04:26:22 | oeisdata/seq/A362/A362368.seq | 35d4a6eae2f6d4a9634b6f0a469ec2db |
A362369 | Triangle read by rows, T(n, k) = binomial(n, k) * k! * Stirling2(n-k, k), for n >= 0 and 0 <= k <= n//2, where '//' denotes integer division. | [
"1",
"0",
"0",
"2",
"0",
"3",
"0",
"4",
"12",
"0",
"5",
"60",
"0",
"6",
"210",
"120",
"0",
"7",
"630",
"1260",
"0",
"8",
"1736",
"8400",
"1680",
"0",
"9",
"4536",
"45360",
"30240",
"0",
"10",
"11430",
"216720",
"327600",
"30240",
"0",
"11",
"28050",
"956340",
"2772000",
"831600",
"0",
"12",
"67452",
"3993000",
"20207880",
"13305600",
"665280"
]
| [
"nonn",
"tabf"
]
| 11 | 0 | 4 | [
"A000169",
"A052506",
"A362369",
"A362788",
"A362789"
]
| null | Peter Luschny, May 04 2023 | 2023-05-10T08:24:01 | oeisdata/seq/A362/A362369.seq | d21a2083eaea5e40532c5e1ec7556de4 |
A362370 | Triangle read by rows. T(n, k) = ([x^k] P(n, x)) // k! where P(n, x) = Sum_{k=1..n} P(n - k, x) * x if n >= 1 and P(0, x) = 1. The notation 's // t' means integer division and is a shortcut for 'floor(s/t)'. | [
"1",
"0",
"1",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"1",
"2",
"1",
"0",
"0",
"0",
"1",
"2",
"1",
"0",
"0",
"0",
"0",
"1",
"3",
"2",
"0",
"0",
"0",
"0",
"0",
"1",
"3",
"3",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"4",
"4",
"2",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"4",
"6",
"3",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"5",
"7",
"5",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"5",
"9",
"6",
"2",
"0",
"0",
"0",
"0",
"0",
"0",
"0"
]
| [
"nonn",
"tabl"
]
| 9 | 0 | 18 | [
"A048993",
"A097805",
"A156289",
"A291451",
"A291452",
"A362307",
"A362370"
]
| null | Peter Luschny, Apr 17 2023 | 2023-04-18T08:29:30 | oeisdata/seq/A362/A362370.seq | f637417e352addd9d17dfaef9a466923 |
A362371 | a(0)=0. For each digit in the sequence, append the smallest unused integer that contains that digit. | [
"0",
"10",
"1",
"20",
"11",
"2",
"30",
"12",
"13",
"21",
"3",
"40",
"14",
"22",
"15",
"23",
"24",
"16",
"31",
"4",
"50",
"17",
"34",
"25",
"26",
"18",
"5",
"27",
"32",
"28",
"41",
"19",
"6",
"33",
"51",
"42",
"35",
"60",
"61",
"7",
"36",
"43",
"29",
"45",
"52",
"46",
"71",
"8",
"53",
"62",
"37",
"38",
"72",
"82",
"48",
"44",
"81",
"91",
"9",
"56",
"39",
"63",
"54",
"100",
"47",
"92",
"73"
]
| [
"nonn",
"base"
]
| 34 | 0 | 2 | [
"A000002",
"A107353",
"A339853",
"A362371"
]
| null | Gavin Lupo, Apr 17 2023 | 2023-04-27T09:10:58 | oeisdata/seq/A362/A362371.seq | 86a6b23bd745608084c0f453b93e608e |
A362372 | Inventory of powers. Initialize the sequence with '1'. Then record the number of powers of 1 thus far, then do the same for powers of 2 (2, 4, 8, ...), powers of 3, etc. When the count is zero, do not record a zero; rather start the inventory again with the powers of 1. | [
"1",
"1",
"2",
"1",
"3",
"1",
"1",
"5",
"1",
"1",
"7",
"1",
"1",
"9",
"1",
"2",
"10",
"2",
"2",
"10",
"4",
"2",
"1",
"1",
"12",
"6",
"2",
"1",
"1",
"1",
"1",
"16",
"8",
"2",
"2",
"1",
"1",
"1",
"1",
"1",
"2",
"21",
"12",
"2",
"2",
"1",
"1",
"1",
"1",
"1",
"2",
"26",
"15",
"2",
"2",
"1",
"1",
"1",
"1",
"1",
"2",
"31",
"18",
"2",
"2",
"1",
"1",
"1",
"1",
"1",
"2",
"36",
"21",
"2",
"2",
"1",
"2",
"1",
"1",
"1"
]
| [
"easy",
"nonn",
"tabf"
]
| 42 | 0 | 3 | [
"A342585",
"A345730",
"A347791",
"A348218",
"A352799",
"A353092",
"A362372"
]
| null | Damon Lay, Apr 17 2023 | 2023-05-06T06:58:09 | oeisdata/seq/A362/A362372.seq | e155473e319a41b2cf7ea9499333c86d |
A362373 | a(0) = 0; for n > 0, if n appears in the sequence then a(n) is the sum of the indices of all previous appearances of n. Otherwise a(n) = a(n-1) - n if nonnegative and not already in the sequence, otherwise a(n) = a(n-1) + n. | [
"0",
"1",
"3",
"2",
"6",
"11",
"4",
"11",
"19",
"10",
"9",
"12",
"11",
"24",
"38",
"23",
"7",
"24",
"42",
"8",
"28",
"49",
"27",
"15",
"30",
"5",
"31",
"22",
"20",
"49",
"24",
"26",
"58",
"25",
"59",
"94",
"130",
"93",
"14",
"53",
"13",
"54",
"18",
"61",
"17",
"62",
"16",
"63",
"111",
"50",
"49",
"100",
"48",
"39",
"41",
"96",
"40",
"97",
"32",
"34",
"94"
]
| [
"nonn",
"look",
"easy"
]
| 49 | 0 | 3 | [
"A005132",
"A340612",
"A362373"
]
| null | Kelvin Voskuijl, Apr 17 2023 | 2025-06-21T00:45:02 | oeisdata/seq/A362/A362373.seq | bb965e9ec56d3d61d2362341eb747d24 |
A362374 | Number of solutions of y^2 + y = x^3 + x where x and y are in GF(2^n). | [
"4",
"4",
"4",
"24",
"24",
"64",
"144",
"224",
"544",
"1024",
"1984",
"4224",
"8064",
"16384",
"33024",
"65024",
"131584",
"262144",
"523264",
"1050624",
"2095104",
"4194304",
"8392704",
"16769024",
"33562624",
"67108864",
"134201344",
"268468224",
"536838144",
"1073741824",
"2147549184",
"4294836224",
"8590065664"
]
| [
"nonn",
"easy"
]
| 42 | 1 | 1 | [
"A038518",
"A362374"
]
| null | Michel Marcus, Apr 20 2023 | 2024-05-29T06:58:46 | oeisdata/seq/A362/A362374.seq | 56554bb4830e6b093a06847b6b34ae64 |
A362375 | a(n) = rad((2n-1)!/(n-1)!). | [
"1",
"6",
"30",
"210",
"210",
"2310",
"30030",
"30030",
"510510",
"9699690",
"9699690",
"223092870",
"223092870",
"223092870",
"6469693230",
"200560490130",
"200560490130",
"200560490130",
"7420738134810",
"7420738134810",
"304250263527210",
"13082761331670030",
"13082761331670030",
"614889782588491410"
]
| [
"nonn"
]
| 26 | 1 | 2 | [
"A000407",
"A007947",
"A034386",
"A362375"
]
| null | Wesley Ivan Hurt, Apr 30 2023 | 2023-05-02T23:53:13 | oeisdata/seq/A362/A362375.seq | ef391a7528a9bcb6d4e56da862098b25 |
A362376 | a(n) is the least k such that Fibonacci(n)*Fibonacci(k) + 1 is a prime, and -1 if no such k exists. | [
"1",
"1",
"1",
"3",
"3",
"3",
"9",
"3",
"4",
"9",
"3",
"4",
"3",
"27",
"4",
"24",
"24",
"4",
"3",
"6",
"3",
"3",
"444",
"3",
"12",
"9",
"3",
"63",
"6",
"8",
"36",
"6",
"36",
"12",
"12",
"4",
"21",
"60",
"4",
"3",
"24",
"73",
"51",
"3",
"11",
"51",
"12",
"4",
"504",
"12",
"3",
"33",
"21",
"6",
"9",
"6",
"4",
"384",
"21",
"7",
"54",
"3",
"4",
"51",
"24",
"63",
"30",
"24",
"11",
"45",
"72",
"6",
"39",
"9",
"22",
"42",
"12",
"16",
"60",
"30"
]
| [
"nonn"
]
| 48 | 1 | 4 | [
"A000040",
"A000045",
"A034693",
"A362376",
"A363533"
]
| null | Jack Braxton, Apr 17 2023 | 2023-08-28T08:21:31 | oeisdata/seq/A362/A362376.seq | 13218db1ba91a88df4b12b2f4650d5a3 |
A362377 | Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/2)} (k/2)^j * (j+1)^(n-j-1) / (j! * (n-2*j)!). | [
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"3",
"7",
"1",
"1",
"1",
"4",
"13",
"34",
"1",
"1",
"1",
"5",
"19",
"85",
"216",
"1",
"1",
"1",
"6",
"25",
"154",
"701",
"1696",
"1",
"1",
"1",
"7",
"31",
"241",
"1456",
"7261",
"15898",
"1",
"1",
"1",
"8",
"37",
"346",
"2481",
"18136",
"89125",
"173468",
"1",
"1",
"1",
"9",
"43",
"469",
"3776",
"35761",
"260002",
"1277865",
"2161036",
"1"
]
| [
"nonn",
"tabl"
]
| 22 | 0 | 9 | [
"A000012",
"A125500",
"A143740",
"A362377",
"A362378",
"A362380",
"A362394"
]
| null | Seiichi Manyama, Apr 20 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362377.seq | 55ff7428dce0a4e3b8e3e600b435ac4d |
A362378 | Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/3)} (k/6)^j * (j+1)^(n-2*j-1) / (j! * (n-3*j)!). | [
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"3",
"9",
"1",
"1",
"1",
"1",
"4",
"17",
"41",
"1",
"1",
"1",
"1",
"5",
"25",
"81",
"191",
"1",
"1",
"1",
"1",
"6",
"33",
"121",
"441",
"1191",
"1",
"1",
"1",
"1",
"7",
"41",
"161",
"751",
"3641",
"9353",
"1",
"1",
"1",
"1",
"8",
"49",
"201",
"1121",
"7351",
"33825",
"77897",
"1"
]
| [
"nonn",
"tabl"
]
| 20 | 0 | 14 | [
"A000012",
"A362043",
"A362377",
"A362378",
"A362381",
"A362390",
"A362391"
]
| null | Seiichi Manyama, Apr 20 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362378.seq | fa00f0f69c4cd401388364115e2de724 |
A362379 | Convolution triangle of A052547(n). | [
"1",
"0",
"1",
"2",
"0",
"1",
"1",
"4",
"0",
"1",
"5",
"2",
"6",
"0",
"1",
"5",
"14",
"3",
"8",
"0",
"1",
"14",
"14",
"27",
"4",
"10",
"0",
"1",
"19",
"49",
"27",
"44",
"5",
"12",
"0",
"1",
"42",
"68",
"113",
"44",
"65",
"6",
"14",
"0",
"1",
"66",
"175",
"159",
"214",
"65",
"90",
"7",
"16",
"0",
"1",
"131",
"286",
"465",
"304",
"360",
"90",
"119",
"8",
"18",
"0",
"1"
]
| [
"nonn",
"easy",
"tabl"
]
| 11 | 0 | 4 | [
"A052547",
"A052964",
"A077998",
"A362379"
]
| null | Philippe Deléham, Apr 20 2023 | 2023-04-20T11:31:35 | oeisdata/seq/A362/A362379.seq | 37a6f87961bf7d18ef038a84fb6bcf2c |
A362380 | E.g.f. satisfies A(x) = exp(x + 3*x^2/2 * A(x)). | [
"1",
"1",
"4",
"19",
"154",
"1456",
"18136",
"260002",
"4430812",
"85170988",
"1854422236",
"44693165716",
"1188169271488",
"34434053438968",
"1082632555160248",
"36666259172292016",
"1331754793762045456",
"51622725829298301520",
"2127683533625205288400"
]
| [
"nonn"
]
| 22 | 0 | 3 | [
"A362377",
"A362380",
"A362397"
]
| null | Seiichi Manyama, Apr 20 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362380.seq | f35987842e65c932f8961e2ba6bf1ce1 |
A362381 | E.g.f. satisfies A(x) = exp(x + x^3/6 * A(x)). | [
"1",
"1",
"1",
"2",
"9",
"41",
"191",
"1191",
"9353",
"77897",
"704861",
"7352621",
"85323921",
"1058023825",
"14155416003",
"206100005931",
"3217934262481",
"53320102598481",
"939087824434009",
"17562552535939705",
"346668611080774081",
"7196193133818592961",
"156944931623033340711"
]
| [
"nonn"
]
| 18 | 0 | 4 | [
"A190865",
"A362378",
"A362381",
"A362477"
]
| null | Seiichi Manyama, Apr 20 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362381.seq | c3c7e09a82b7bfdc30d8810538b87f1c |
A362382 | Number of nonisomorphic right involutory magmas with n elements. | [
"1",
"1",
"3",
"16",
"475",
"100666",
"267954164",
"7178089200724",
"2878905036230723360",
"16030557330452794172050567",
"1643024454743084814743097053747492",
"3003719433250221394022136941323628209106412",
"119909786948816191249293422143299520925389900896422044"
]
| [
"nonn"
]
| 13 | 0 | 3 | [
"A001329",
"A076017",
"A076019",
"A361720",
"A362382",
"A362383"
]
| null | Andrew Howroyd, Apr 17 2023 | 2023-04-18T14:45:33 | oeisdata/seq/A362/A362382.seq | abe43195aa04b0969c183a5f90d86bbf |
A362383 | Number of labeled right involutory magmas with n elements. | [
"1",
"1",
"4",
"64",
"10000",
"11881376",
"192699928576",
"36175612601171968",
"116077185312503648813056",
"5817168207073186596352000000000",
"5962207128673051739782035558293177368576",
"119898867867315010793162270409575082620582830800896",
"57436979804085599487337333419576950752550097125586310052970496"
]
| [
"nonn"
]
| 16 | 0 | 3 | [
"A000085",
"A002489",
"A076016",
"A362382",
"A362383"
]
| null | Andrew Howroyd, Apr 17 2023 | 2025-03-14T09:41:10 | oeisdata/seq/A362/A362383.seq | 202e50c512deca167fc1bcd2d61fc544 |
A362384 | Number of nonisomorphic magmas with n elements satisfying the equation x(yz) = xz. | [
"1",
"1",
"4",
"12",
"81",
"934",
"23703",
"1219177"
]
| [
"nonn",
"more"
]
| 6 | 0 | 3 | [
"A001329",
"A279644",
"A362384",
"A362385"
]
| null | Andrew Howroyd, Apr 24 2023 | 2023-04-25T19:14:06 | oeisdata/seq/A362/A362384.seq | 71809aa5a8804b05715cc44497393e32 |
A362385 | Number of nonisomorphic magmas with n elements satisfying the equation x(yz) = xy. | [
"1",
"1",
"3",
"14",
"197",
"6139",
"603933",
"199410617"
]
| [
"nonn",
"more"
]
| 10 | 0 | 3 | [
"A001329",
"A361720",
"A362382",
"A362384",
"A362385",
"A362386"
]
| null | Andrew Howroyd, Apr 24 2023 | 2023-04-25T19:14:02 | oeisdata/seq/A362/A362385.seq | 091ee36db3909665a8162145adcdf843 |
A362386 | Number of labeled magmas with n elements satisfying the equation x(yz) = xy. | [
"1",
"1",
"4",
"63",
"3928",
"671225",
"415994376",
"984103121743",
"9271304662454080",
"481332898418852452113",
"104644384236229513639369600",
"144227885665186612512723834972671",
"914259315321600131058018257603156879616",
"35436549344191965694685804548516417640353097545"
]
| [
"nonn"
]
| 14 | 0 | 3 | [
"A362385",
"A362386"
]
| null | Andrew Howroyd, Apr 25 2023 | 2023-04-26T10:28:34 | oeisdata/seq/A362/A362386.seq | b5f3cd42d6721218f3ae835be26be71a |
A362387 | Number of directed multigraphs including self-loops on n vertices and n edges. | [
"1",
"1",
"6",
"31",
"198",
"1270",
"8838",
"63419",
"475796",
"3697876",
"29793899",
"248312750",
"2139071800",
"19023864211",
"174495408060",
"1648972635108",
"16036927429350",
"160338342813918",
"1646265278973845",
"17340402062779049",
"187190960572134321"
]
| [
"nonn"
]
| 28 | 0 | 3 | [
"A138107",
"A362387"
]
| null | Marko Riedel, Jun 09 2023 | 2023-06-12T14:51:54 | oeisdata/seq/A362/A362387.seq | 2200f14a46af632c07afcacd882740b1 |
A362388 | a(n) = a(n-1) + a(n-3) + a(n-4), where a(0) = 1, a(1) = 2, a(2) = 5, a(3) = 7. | [
"1",
"2",
"5",
"7",
"10",
"17",
"29",
"46",
"73",
"119",
"194",
"313",
"505",
"818",
"1325",
"2143",
"3466",
"5609",
"9077",
"14686",
"23761",
"38447",
"62210",
"100657",
"162865",
"263522",
"426389",
"689911",
"1116298",
"1806209",
"2922509",
"4728718",
"7651225",
"12379943",
"20031170",
"32411113",
"52442281",
"84853394"
]
| [
"nonn",
"easy"
]
| 45 | 0 | 2 | [
"A000032",
"A000045",
"A195971",
"A295681",
"A347902",
"A362388"
]
| null | Greg Dresden and Jiaqi Wang, Jun 18 2023 | 2023-06-22T13:32:07 | oeisdata/seq/A362/A362388.seq | c46fa59b79f2ac6cf0df946eb98c31bf |
A362389 | G.f. satisfies A(x) = exp( Sum_{k>=1} (2^k + A(x^k)) * x^k/k ). | [
"1",
"3",
"10",
"34",
"122",
"450",
"1723",
"6758",
"27135",
"110913",
"460395",
"1935233",
"8222504",
"35255000",
"152353021",
"662892684",
"2901595559",
"12768195617",
"56450822365",
"250637657015",
"1117060889815",
"4995815027658",
"22413020866875",
"100842092305575",
"454912716037387"
]
| [
"nonn"
]
| 36 | 0 | 2 | [
"A001678",
"A029857",
"A036249",
"A362389",
"A363541",
"A363542",
"A363545"
]
| null | Seiichi Manyama, Jun 09 2023 | 2023-06-10T10:56:20 | oeisdata/seq/A362/A362389.seq | 51948e4650e71d76730ebe0223b247f3 |
A362390 | E.g.f. satisfies A(x) = exp(x + x^3/3 * A(x)). | [
"1",
"1",
"1",
"3",
"17",
"81",
"441",
"3641",
"33825",
"318753",
"3505521",
"45095601",
"616484001",
"9013086369",
"145909533225",
"2556431401161",
"47388760825281",
"937507626246081",
"19840711661183457",
"443937299529447009",
"10456231167451597761",
"259738234024404363201"
]
| [
"nonn"
]
| 21 | 0 | 4 | [
"A001470",
"A362378",
"A362390",
"A362478"
]
| null | Seiichi Manyama, Apr 20 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362390.seq | 266e646677e1453055d8968f4f89074b |
A362391 | E.g.f. satisfies A(x) = exp(x + x^3/2 * A(x)). | [
"1",
"1",
"1",
"4",
"25",
"121",
"751",
"7351",
"73417",
"749449",
"9477181",
"136883341",
"2041250641",
"33289802833",
"608025141907",
"11815916748091",
"242532915013201",
"5369303859003601",
"126896359555326745",
"3153096762426186553",
"82705881733348530241",
"2293511922269658189121"
]
| [
"nonn"
]
| 18 | 0 | 4 | [
"A362378",
"A362380",
"A362391",
"A362479"
]
| null | Seiichi Manyama, Apr 20 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362391.seq | 783845263e57c4607ec3a134f85f0dc5 |
A362392 | E.g.f. satisfies A(x) = exp(x + x^3 * A(x)). | [
"1",
"1",
"1",
"7",
"49",
"241",
"2041",
"26041",
"282913",
"3449377",
"57170161",
"973059121",
"16847893921",
"343341027745",
"7680743819113",
"175958943331081",
"4375517632543681",
"118932887426911681",
"3374685950589927649",
"100735118425384221025",
"3217474234925998764481"
]
| [
"nonn"
]
| 18 | 0 | 4 | [
"A118395",
"A125500",
"A362378",
"A362392",
"A362393",
"A362430"
]
| null | Seiichi Manyama, Apr 20 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362392.seq | 4cd4b8edea5c2bcf0182e109a779ba84 |
A362393 | E.g.f. satisfies A(x) = exp(x + x^4 * A(x)). | [
"1",
"1",
"1",
"1",
"25",
"241",
"1441",
"6721",
"87361",
"1729729",
"24816961",
"270452161",
"3705324481",
"85344916801",
"1992230175937",
"38047293910081",
"709217112938881",
"17385498239168641",
"514103858592923521",
"14254662916125735553",
"366807994235438359681",
"10338786602768939575681"
]
| [
"nonn"
]
| 16 | 0 | 5 | [
"A125500",
"A362392",
"A362393",
"A362431"
]
| null | Seiichi Manyama, Apr 20 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362393.seq | f0b0a47304d08d263307c801ead59280 |
A362394 | Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/2)} (-k/2)^j * (j+1)^(n-j-1) / (j! * (n-2*j)!). | [
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"0",
"1",
"1",
"1",
"-1",
"-5",
"1",
"1",
"1",
"-2",
"-11",
"-14",
"1",
"1",
"1",
"-3",
"-17",
"-11",
"56",
"1",
"1",
"1",
"-4",
"-23",
"10",
"381",
"736",
"1",
"1",
"1",
"-5",
"-29",
"49",
"976",
"2461",
"1114",
"1",
"1",
"1",
"-6",
"-35",
"106",
"1841",
"3736",
"-21083",
"-45156",
"1",
"1",
"1",
"-7",
"-41",
"181",
"2976",
"3121",
"-106910",
"-449623",
"-428660",
"1"
]
| [
"sign",
"tabl"
]
| 20 | 0 | 14 | [
"A000012",
"A362277",
"A362377",
"A362394",
"A362395",
"A362396",
"A362397"
]
| null | Seiichi Manyama, Apr 20 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362394.seq | 10d02f96d42fed6baf41b26360757f9f |
A362395 | E.g.f. satisfies A(x) = exp(x - x^2/2 * A(x)). | [
"1",
"1",
"0",
"-5",
"-14",
"56",
"736",
"1114",
"-45156",
"-428660",
"2004796",
"82797716",
"446153632",
"-13593781928",
"-276074700264",
"701782138576",
"107474258830096",
"1263010302870608",
"-30208216250914352",
"-1146149464640506928",
"-2087509382334856224",
"703335832718961413056"
]
| [
"sign"
]
| 12 | 0 | 4 | [
"A143740",
"A362394",
"A362395"
]
| null | Seiichi Manyama, Apr 20 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362395.seq | 80b3ab14c812c835e9564e05bced9742 |
A362396 | E.g.f. satisfies A(x) = exp(x - x^2 * A(x)). | [
"1",
"1",
"-1",
"-11",
"-11",
"381",
"2461",
"-21083",
"-449623",
"221113",
"99327961",
"862237641",
"-24117649907",
"-612442461227",
"3958786971413",
"388794711373741",
"2915530533136081",
"-239559177608638095",
"-6208842113295032015",
"118603625804273873809",
"8571701737898867135861"
]
| [
"sign"
]
| 12 | 0 | 4 | [
"A125500",
"A362394",
"A362396",
"A362430",
"A362431"
]
| null | Seiichi Manyama, Apr 20 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362396.seq | c2bdd9d08ef939b18d516f4798982b4d |
A362397 | E.g.f. satisfies A(x) = exp(x - 3*x^2/2 * A(x)). | [
"1",
"1",
"-2",
"-17",
"10",
"976",
"3736",
"-106910",
"-1386020",
"15470380",
"562409596",
"-722342444",
"-275109171776",
"-2700252315656",
"152965123673272",
"4156435296446896",
"-80740805437063664",
"-5565174444376872368",
"6196702378365183952",
"7539582040570866254032"
]
| [
"sign"
]
| 12 | 0 | 3 | [
"A362380",
"A362394",
"A362397"
]
| null | Seiichi Manyama, Apr 20 2023 | 2025-02-16T08:34:05 | oeisdata/seq/A362/A362397.seq | b799d3ef70f070efea7bdf318a4b9f9e |
A362398 | Records in A336830. | [
"0",
"1",
"2",
"5",
"9",
"10",
"11",
"20",
"30",
"91",
"168",
"1353",
"4810",
"5633",
"18318",
"113469",
"309843",
"2472166",
"8986945",
"14851612",
"37245096",
"126623277",
"303214904",
"332037001",
"471378040",
"2479371748",
"7480271673",
"19360939770",
"63777083760",
"86507687515",
"660840240360",
"705786898152"
]
| [
"nonn"
]
| 11 | 1 | 3 | [
"A336830",
"A362398",
"A362399"
]
| null | Michael S. Branicky, Apr 18 2023 | 2023-04-19T12:19:55 | oeisdata/seq/A362/A362398.seq | 736cb3c59007b28d8baaa15c6d27b7d5 |
A362399 | Positions of records in A336830. | [
"0",
"1",
"2",
"3",
"4",
"6",
"8",
"9",
"10",
"13",
"21",
"41",
"74",
"131",
"213",
"347",
"519",
"971",
"2915",
"5732",
"7938",
"11913",
"19972",
"31783",
"40936",
"48361",
"87369",
"150765",
"294320",
"498635",
"547579",
"959518",
"1662638",
"2886810",
"4650033",
"6671264",
"10248826",
"17280370",
"33215677",
"50757703",
"140318553",
"229785674"
]
| [
"nonn"
]
| 14 | 1 | 3 | [
"A336830",
"A362398",
"A362399"
]
| null | Michael S. Branicky, Apr 18 2023 | 2024-07-17T04:17:17 | oeisdata/seq/A362/A362399.seq | c84ecc8c6ab16721c0ad1a3ed4eaa276 |
A362400 | Numbers k such that A162296(k) = A162296(k+1) > 0. | [
"135",
"819",
"1863",
"9207",
"10340",
"41124",
"75051",
"95336",
"278972",
"305091",
"465596",
"544924",
"570411",
"711027",
"903804",
"977876",
"1114695",
"1327095",
"1444779",
"1520684",
"1760571",
"1987371",
"2083491",
"2303091",
"2581928",
"2842324",
"2869011",
"3062631",
"3243140",
"4043624",
"4335848",
"4469984",
"4598091"
]
| [
"nonn"
]
| 11 | 1 | 1 | [
"A002961",
"A005117",
"A007674",
"A013929",
"A064115",
"A064125",
"A068781",
"A162296",
"A164522",
"A164557",
"A293183",
"A306985",
"A324295",
"A325175",
"A362400"
]
| null | Amiram Eldar, Apr 18 2023 | 2023-04-20T13:20:49 | oeisdata/seq/A362/A362400.seq | ce7826d2f79c39856a353d741e2cd8ed |
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