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
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A385013 | G.f. A(x) satisfies A(x) = 1 + x*A(x)/A(-x*A(x)^2). | [
"1",
"1",
"2",
"4",
"9",
"19",
"37",
"52",
"-25",
"-630",
"-3616",
"-15897",
"-61476",
"-215135",
"-677464",
"-1823081",
"-3389900",
"2523349",
"73121734",
"526205851",
"2914005085",
"14163375846",
"62788424920",
"255900158756",
"945473736954",
"3008738746058",
"6827204137454",
"-2853842162077",
"-171206510083289"
]
| [
"sign"
]
| 12 | 0 | 3 | [
"A000108",
"A213091",
"A213225",
"A213226",
"A384951",
"A385013",
"A385017"
]
| null | Seiichi Manyama, Jun 15 2025 | 2025-06-15T09:57:16 | oeisdata/seq/A385/A385013.seq | 7ad097714192445a34db126e47c59abd |
A385014 | G.f. A(x) satisfies A(x) = 1 + x*A(x)/A(-x*A(x))^2. | [
"1",
"1",
"3",
"4",
"3",
"-15",
"-118",
"-336",
"-595",
"1467",
"20391",
"96205",
"353686",
"574786",
"-2717256",
"-30598208",
"-197828371",
"-841728699",
"-2599029153",
"-1309899955",
"56975269295",
"522707807733",
"3425068059553",
"16747743739845",
"63468629516172",
"111911654532374",
"-907903172853988",
"-12555837715110897"
]
| [
"sign"
]
| 12 | 0 | 3 | [
"A001764",
"A213228",
"A213229",
"A213230",
"A384894",
"A384951",
"A384974",
"A385014",
"A385015",
"A385016",
"A385018"
]
| null | Seiichi Manyama, Jun 15 2025 | 2025-06-15T09:57:22 | oeisdata/seq/A385/A385014.seq | 7e5bc51a3ffce66cd3c11fe577bb6f7e |
A385015 | G.f. A(x) satisfies A(x) = 1 + x*A(x)/A(-x*A(x))^3. | [
"1",
"1",
"4",
"4",
"-13",
"-81",
"-389",
"-198",
"7455",
"44515",
"198661",
"70243",
"-5428624",
"-40239313",
"-218619844",
"-408542577",
"3648305171",
"44441073999",
"339489511573",
"1430556904456",
"2122222427956",
"-35048613488679",
"-504238969376070",
"-3684488832562182",
"-21342732340391295",
"-67688326964892247"
]
| [
"sign"
]
| 12 | 0 | 3 | [
"A213231",
"A213232",
"A384896",
"A384951",
"A384975",
"A385014",
"A385015",
"A385016",
"A385019"
]
| null | Seiichi Manyama, Jun 15 2025 | 2025-06-15T09:57:29 | oeisdata/seq/A385/A385015.seq | f9610a525ea04121a696fe79419be551 |
A385016 | G.f. A(x) satisfies A(x) = 1 + x*A(x)/A(-x*A(x))^4. | [
"1",
"1",
"5",
"3",
"-51",
"-190",
"-401",
"3672",
"51925",
"151539",
"-482538",
"-9063614",
"-79813421",
"-183787112",
"1737820084",
"22402935304",
"179028179329",
"459719628273",
"-4012720499801",
"-61168331089037",
"-556435825634630",
"-2299434933774430",
"2674772917888194",
"157684497102084776"
]
| [
"sign"
]
| 10 | 0 | 3 | [
"A002294",
"A213233",
"A384941",
"A384951",
"A385014",
"A385015",
"A385016",
"A385020"
]
| null | Seiichi Manyama, Jun 15 2025 | 2025-06-15T09:56:53 | oeisdata/seq/A385/A385016.seq | f7d3963f2052b839b87bc6c53b2cd700 |
A385017 | Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A385013. | [
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"2",
"0",
"1",
"3",
"5",
"4",
"0",
"1",
"4",
"9",
"12",
"9",
"0",
"1",
"5",
"14",
"25",
"30",
"19",
"0",
"1",
"6",
"20",
"44",
"69",
"72",
"37",
"0",
"1",
"7",
"27",
"70",
"133",
"183",
"164",
"52",
"0",
"1",
"8",
"35",
"104",
"230",
"384",
"464",
"326",
"-25",
"0",
"1",
"9",
"44",
"147",
"369",
"716",
"1060",
"1083",
"435",
"-630",
"0",
"1",
"10",
"54",
"200",
"560",
"1230",
"2125",
"2748",
"2139",
"-464",
"-3616",
"0"
]
| [
"sign",
"tabl"
]
| 10 | 0 | 8 | [
"A000007",
"A384976",
"A385013",
"A385017"
]
| null | Seiichi Manyama, Jun 15 2025 | 2025-06-15T09:57:04 | oeisdata/seq/A385/A385017.seq | 9fd770131e175e8be778dcb1458ff749 |
A385018 | Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A385014. | [
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"3",
"0",
"1",
"3",
"7",
"4",
"0",
"1",
"4",
"12",
"14",
"3",
"0",
"1",
"5",
"18",
"31",
"23",
"-15",
"0",
"1",
"6",
"25",
"56",
"69",
"0",
"-118",
"0",
"1",
"7",
"33",
"90",
"151",
"84",
"-232",
"-336",
"0",
"1",
"8",
"42",
"134",
"280",
"288",
"-234",
"-974",
"-595",
"0",
"1",
"9",
"52",
"189",
"468",
"676",
"54",
"-1749",
"-2681",
"1467",
"0",
"1",
"10",
"63",
"256",
"728",
"1326",
"895",
"-2232",
"-6585",
"-1306",
"20391",
"0"
]
| [
"sign",
"tabl"
]
| 10 | 0 | 8 | [
"A000007",
"A385014",
"A385018"
]
| null | Seiichi Manyama, Jun 15 2025 | 2025-06-15T09:56:46 | oeisdata/seq/A385/A385018.seq | 5370fd6c979d82c8d031c0f4161c3725 |
A385019 | Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A385015. | [
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"4",
"0",
"1",
"3",
"9",
"4",
"0",
"1",
"4",
"15",
"16",
"-13",
"0",
"1",
"5",
"22",
"37",
"-2",
"-81",
"0",
"1",
"6",
"30",
"68",
"45",
"-156",
"-389",
"0",
"1",
"7",
"39",
"110",
"141",
"-165",
"-1028",
"-198",
"0",
"1",
"8",
"49",
"164",
"300",
"-32",
"-1796",
"-1926",
"7455",
"0",
"1",
"9",
"60",
"231",
"537",
"336",
"-2460",
"-5499",
"10923",
"44515",
"0"
]
| [
"sign",
"tabl"
]
| 11 | 0 | 8 | [
"A000007",
"A385015",
"A385019"
]
| null | Seiichi Manyama, Jun 15 2025 | 2025-06-15T09:56:35 | oeisdata/seq/A385/A385019.seq | 26d41e86e5f62d1ce44f9754f8ef04b7 |
A385020 | Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A385016. | [
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"5",
"0",
"1",
"3",
"11",
"3",
"0",
"1",
"4",
"18",
"16",
"-51",
"0",
"1",
"5",
"26",
"40",
"-71",
"-190",
"0",
"1",
"6",
"35",
"76",
"-45",
"-452",
"-401",
"0",
"1",
"7",
"45",
"125",
"43",
"-702",
"-1683",
"3672",
"0",
"1",
"8",
"56",
"188",
"210",
"-836",
"-3784",
"4336",
"51925",
"0",
"1",
"9",
"68",
"266",
"474",
"-729",
"-6480",
"144",
"108645",
"151539",
"0"
]
| [
"sign",
"tabl"
]
| 10 | 0 | 8 | [
"A000007",
"A385016",
"A385020"
]
| null | Seiichi Manyama, Jun 15 2025 | 2025-06-15T09:58:16 | oeisdata/seq/A385/A385020.seq | 9edd1fb75de037c9b833518118083b63 |
A385021 | Number of states in smallest Fibonacci DFAO generating the sequence A003849(n*i). | [
"2",
"5",
"10",
"17",
"27",
"36",
"52",
"65",
"78",
"103",
"119",
"132",
"181",
"207",
"208",
"259",
"308",
"285",
"329",
"374",
"379",
"433",
"559",
"491",
"616",
"681",
"689",
"714",
"605",
"808",
"906",
"1013",
"936",
"1101",
"1165",
"926",
"1357",
"984",
"1411",
"1415",
"1516",
"1389",
"1838",
"1326",
"1813",
"1862",
"1719",
"1459",
"2444",
"2395",
"2328"
]
| [
"nonn"
]
| 7 | 1 | 1 | [
"A003849",
"A385021"
]
| null | Jeffrey Shallit, Jun 15 2025 | 2025-06-21T20:01:10 | oeisdata/seq/A385/A385021.seq | c27ada96cbd69a851a0bd4c37e302ee2 |
A385022 | Table read by rows: row n is the unique primitive Pythagorean triple (a,b,c) such that (a-b+c)/2 = A002378(n) and its long leg and hypotenuse are consecutive natural numbers. | [
"3",
"4",
"5",
"11",
"60",
"61",
"23",
"264",
"265",
"39",
"760",
"761",
"59",
"1740",
"1741",
"83",
"3444",
"3445",
"111",
"6160",
"6161",
"143",
"10224",
"10225",
"179",
"16020",
"16021",
"219",
"23980",
"23981",
"263",
"34584",
"34585",
"311",
"48360",
"48361",
"363",
"65884",
"65885",
"419",
"87780",
"87781",
"479",
"114720",
"114721",
"543",
"147424",
"147425"
]
| [
"sign",
"easy",
"tabf",
"new"
]
| 20 | 1 | 1 | [
"A002378",
"A142463",
"A385022",
"A385187"
]
| null | Miguel-Ángel Pérez García-Ortega, Jun 15 2025 | 2025-07-13T17:25:02 | oeisdata/seq/A385/A385022.seq | f36a6c2b7af744efd73a812018f318fd |
A385024 | Number of face-connected components of tetragonal disphenoidal cells in the tetragonal disphenoidal honeycomb up to translation, rotation, and reflection. | [
"1",
"1",
"2",
"5",
"14",
"47",
"172",
"691",
"2881",
"12449",
"54782",
"244992",
"1107240",
"5050360",
"23202236",
"107269382",
"498622480",
"2328953312",
"10924738869"
]
| [
"nonn",
"hard",
"more"
]
| 14 | 1 | 3 | [
"A038119",
"A038173",
"A038181",
"A343909",
"A365654",
"A384254",
"A384274",
"A384754",
"A385024",
"A385025",
"A385026",
"A385027"
]
| null | Peter Kagey and Bert Dobbelaere, Jun 15 2025 | 2025-06-24T00:53:18 | oeisdata/seq/A385/A385024.seq | 66bdd566e077762bb0e4124216efa410 |
A385025 | Number of face-connected components of gyrobifastigium cells in the gyrobifastigium honeycomb up to translation, rotation, and reflection of the honeycomb. | [
"1",
"2",
"6",
"31",
"181",
"1332",
"10510",
"88054",
"757202",
"6650140",
"59248825",
"534180521",
"4862936054"
]
| [
"nonn",
"hard",
"more"
]
| 14 | 1 | 2 | [
"A038119",
"A038173",
"A038181",
"A343909",
"A365654",
"A384254",
"A384274",
"A384754",
"A385024",
"A385025",
"A385026",
"A385027"
]
| null | Peter Kagey and Bert Dobbelaere, Jun 15 2025 | 2025-06-24T00:53:25 | oeisdata/seq/A385/A385025.seq | b26be107e6b3451b33cea229fe7e0619 |
A385026 | Number of face-connected components of hexagonal prism cells in the hexagonal prismatic honeycomb up to translation, rotation, and reflection of the honeycomb. | [
"1",
"2",
"5",
"20",
"89",
"569",
"4002",
"31899",
"266736",
"2315811",
"20531349",
"184927106",
"1684835315"
]
| [
"nonn",
"hard",
"more"
]
| 13 | 1 | 2 | [
"A038119",
"A038173",
"A038181",
"A343909",
"A365654",
"A384254",
"A384274",
"A384754",
"A385024",
"A385025",
"A385026",
"A385027"
]
| null | Peter Kagey and Bert Dobbelaere, Jun 15 2025 | 2025-06-24T00:53:47 | oeisdata/seq/A385/A385026.seq | ec6c46b656a51f27dfc57a924f1b5e14 |
A385027 | Number of face-connected components of triakis truncated tetrahedral cells in the triakis truncated tetrahedral honeycomb up to translation, rotation, and reflection of the honeycomb. | [
"1",
"2",
"8",
"71",
"793",
"11486",
"177746",
"2876127",
"47667178",
"804571359",
"13773260905"
]
| [
"nonn",
"hard",
"more"
]
| 14 | 1 | 2 | [
"A038119",
"A038173",
"A038181",
"A343909",
"A365654",
"A384254",
"A384274",
"A384754",
"A385024",
"A385025",
"A385026",
"A385027"
]
| null | Peter Kagey and Bert Dobbelaere, Jun 15 2025 | 2025-06-24T00:53:37 | oeisdata/seq/A385/A385027.seq | f391958b3a6776e391b979e19ba2eeaf |
A385029 | a(n) = Sum_{-n <= a, b, c <= n} (b^2 - 4*a*c). | [
"18",
"250",
"1372",
"4860",
"13310",
"30758",
"63000",
"117912",
"205770",
"339570",
"535348",
"812500",
"1194102",
"1707230",
"2383280",
"3258288",
"4373250",
"5774442",
"7513740",
"9648940",
"12244078",
"15369750",
"19103432",
"23529800",
"28741050",
"34837218",
"41926500",
"50125572",
"59559910",
"70364110",
"82682208",
"96668000"
]
| [
"nonn",
"easy"
]
| 27 | 1 | 1 | [
"A000384",
"A002378",
"A014105",
"A016754",
"A016755",
"A055112",
"A384666",
"A385029"
]
| null | Darío Clavijo, Jun 15 2025 | 2025-06-18T12:24:44 | oeisdata/seq/A385/A385029.seq | 20ec2195f6708c09e94e33639ebde50a |
A385030 | Orders of characteristically simple groups. | [
"2",
"3",
"4",
"5",
"7",
"8",
"9",
"11",
"13",
"16",
"17",
"19",
"23",
"25",
"27",
"29",
"31",
"32",
"37",
"41",
"43",
"47",
"49",
"53",
"59",
"60",
"61",
"64",
"67",
"71",
"73",
"79",
"81",
"83",
"89",
"97",
"101",
"103",
"107",
"109",
"113",
"121",
"125",
"127",
"128",
"131",
"137",
"139",
"149",
"151",
"157",
"163",
"167",
"168",
"169",
"173",
"179",
"181",
"191",
"193",
"197",
"199",
"211"
]
| [
"nonn"
]
| 16 | 1 | 1 | [
"A001034",
"A005180",
"A246655",
"A385030"
]
| null | Miles Englezou, Jun 15 2025 | 2025-06-18T18:04:42 | oeisdata/seq/A385/A385030.seq | 4943a17a34ccddd86adc298c601491c8 |
A385031 | Consecutive states of the linear congruential pseudo-random number generator 171*s mod 30269 when started at s=1. | [
"1",
"171",
"29241",
"5826",
"27638",
"4134",
"10727",
"18177",
"20829",
"20286",
"18240",
"1333",
"16060",
"22050",
"17194",
"4081",
"1664",
"12123",
"14741",
"8384",
"11021",
"7913",
"21287",
"7797",
"1451",
"5969",
"21822",
"8475",
"26582",
"5172",
"6611",
"10528",
"14417",
"13518",
"11134",
"27236",
"26199",
"217",
"6838",
"19076"
]
| [
"nonn",
"easy"
]
| 14 | 1 | 2 | [
"A384796",
"A385031",
"A385032",
"A385033"
]
| null | Sean A. Irvine, Jun 15 2025 | 2025-06-18T03:15:01 | oeisdata/seq/A385/A385031.seq | 1772982d3525d05e00fd44fff54f45b5 |
A385032 | Consecutive states of the linear congruential pseudo-random number generator 172*s mod 30307 when started at s=1. | [
"1",
"172",
"29584",
"27179",
"7510",
"18826",
"25530",
"26952",
"29080",
"1105",
"8218",
"19374",
"28865",
"24739",
"12128",
"25140",
"20486",
"7980",
"8745",
"19097",
"11528",
"12861",
"29988",
"5746",
"18488",
"28008",
"28870",
"25599",
"8513",
"9500",
"27729",
"11189",
"15167",
"2322",
"5393",
"18386",
"10464",
"11695",
"11278",
"168"
]
| [
"nonn",
"easy"
]
| 9 | 1 | 2 | [
"A385031",
"A385032",
"A385033"
]
| null | Sean A. Irvine, Jun 15 2025 | 2025-06-16T16:19:22 | oeisdata/seq/A385/A385032.seq | 63b66e26202e85a670636305027662bb |
A385033 | Consecutive states of the linear congruential pseudo-random number generator 170*s mod 30323 when started at s=1. | [
"1",
"170",
"28900",
"674",
"23611",
"11234",
"29754",
"24562",
"21289",
"10693",
"28753",
"6007",
"20531",
"3125",
"15759",
"10606",
"13963",
"8516",
"22539",
"10932",
"8737",
"29786",
"30002",
"6076",
"1938",
"26230",
"1619",
"2323",
"711",
"29901",
"19229",
"24369",
"18802",
"12425",
"19963",
"27857",
"5302",
"21973",
"5681",
"25757"
]
| [
"nonn",
"easy"
]
| 12 | 1 | 2 | [
"A385031",
"A385032",
"A385033"
]
| null | Sean A. Irvine, Jun 15 2025 | 2025-06-17T10:30:40 | oeisdata/seq/A385/A385033.seq | 23bee67520c1aaf3d82be0178e73609e |
A385034 | Absolute value squared of the maximal determinant of a matrix of order n with entries in the third roots of unity. | [
"1",
"1",
"3",
"27",
"189",
"1701",
"46656",
"606528",
"8957952",
"387420489",
"7360989291",
"154580775111",
"8916100448256",
"222902511206400"
]
| [
"nonn",
"hard",
"more"
]
| 34 | 0 | 3 | [
"A000312",
"A003433",
"A385034"
]
| null | Guillermo N. Ponasso, Jun 16 2025 | 2025-06-25T06:39:37 | oeisdata/seq/A385/A385034.seq | 3be4dc3a35a7585cbfff0ca0626f5e1a |
A385035 | Primes p such that p + 8, p + 14, p + 18 and p + 20 are also primes. | [
"23",
"53",
"89",
"263",
"599",
"1283",
"1979",
"3449",
"5399",
"5639",
"11813",
"14543",
"41213",
"42443",
"44249",
"47129",
"55799",
"57773",
"65699",
"74699",
"75983",
"79613",
"84299",
"87539",
"88643",
"88793",
"88799",
"113153",
"115763",
"126473",
"143813",
"148913",
"150203",
"160073",
"163973",
"167099",
"176489",
"178799",
"178889",
"209249"
]
| [
"nonn",
"changed"
]
| 18 | 1 | 1 | [
"A000040",
"A078855",
"A172454",
"A187057",
"A385035"
]
| null | Alexander Yutkin, Jun 15 2025 | 2025-07-04T05:03:16 | oeisdata/seq/A385/A385035.seq | 75e6e28c281d7294cd24b3a02391ae12 |
A385036 | Consecutive states of the linear congruential pseudo-random number generator (419*s + 6173) mod 29282 when started at s=1. | [
"1",
"6592",
"15713",
"1470",
"7181",
"28248",
"12157",
"4888",
"4505",
"19720",
"11329",
"9340",
"25127",
"22148",
"3791",
"13374",
"17017",
"20770",
"12049",
"18200",
"18653",
"3486",
"2707",
"27690",
"12611",
"19422",
"3595",
"19096",
"13411",
"3238",
"15923",
"1614",
"8953",
"9384",
"14281",
"16384",
"19081",
"7126",
"5203",
"19362"
]
| [
"nonn",
"easy"
]
| 23 | 1 | 2 | [
"A384113",
"A384971",
"A385002",
"A385036"
]
| null | Sean A. Irvine, Jun 16 2025 | 2025-06-24T09:59:06 | oeisdata/seq/A385/A385036.seq | 3b9938faadc0776662cc8fe7a575d4b3 |
A385037 | Consecutive states of the linear congruential pseudo-random number generator (936*s + 1399) mod 6655 when started at s=1. | [
"1",
"2335",
"4119",
"3538",
"5432",
"1331",
"2730",
"1159",
"1458",
"1812",
"406",
"2080",
"5019",
"753",
"777",
"3276",
"6435",
"1784",
"818",
"1722",
"2681",
"1880",
"4159",
"1048",
"4042",
"4671",
"1120",
"4884",
"838",
"477",
"1986",
"3550",
"3354",
"6238",
"3732",
"676",
"1910",
"5619",
"3333",
"6547",
"136",
"2250",
"4419",
"4828",
"1662"
]
| [
"nonn",
"look",
"easy",
"changed"
]
| 15 | 1 | 2 | [
"A384113",
"A384971",
"A385002",
"A385003",
"A385037"
]
| null | Sean A. Irvine, Jun 14 2025 | 2025-07-06T18:26:11 | oeisdata/seq/A385/A385037.seq | 14b73d03f5946316460f42dd12b9702c |
A385038 | Consecutive internal states of the linear congruential pseudo-random number generator (1366*s + 1283) mod 6075 when started at 1. | [
"1",
"2649",
"5192",
"4030",
"2313",
"1841",
"1039",
"5082",
"5645",
"3178",
"4881",
"4454",
"4372",
"1710",
"4343",
"4621",
"1644",
"5312",
"3925",
"4683",
"1286",
"2284",
"4752",
"4415",
"5773",
"1851",
"2549",
"2242",
"2055",
"1763",
"3841",
"5364",
"2057",
"4495",
"5703",
"3431",
"4204",
"3072",
"5885",
"2968",
"3546",
"3344",
"787",
"1050"
]
| [
"nonn",
"look",
"easy"
]
| 12 | 1 | 2 | [
"A384113",
"A384114",
"A384126",
"A384152",
"A384158",
"A384196",
"A384971",
"A385037",
"A385038"
]
| null | Sean A. Irvine, Jun 13 2025 | 2025-06-16T17:12:06 | oeisdata/seq/A385/A385038.seq | 0857b1078fc9f5edce34018525ec2c53 |
A385039 | Consecutive internal states of the linear congruential pseudo-random number generator (171*s + 11213) mod 53125 when started at 1. | [
"1",
"11384",
"45377",
"14430",
"34993",
"45016",
"5824",
"50867",
"50095",
"24333",
"28406",
"34264",
"26607",
"45385",
"15798",
"3296",
"43579",
"25722",
"300",
"9388",
"22811",
"33769",
"48212",
"21090",
"5103",
"33826",
"4834",
"40952",
"1505",
"2943",
"36341",
"9899",
"3942",
"47795",
"2908",
"30356",
"48964",
"43432",
"585",
"4998"
]
| [
"nonn",
"easy"
]
| 13 | 1 | 2 | [
"A384113",
"A384114",
"A384126",
"A384152",
"A384158",
"A384196",
"A385039"
]
| null | Sean A. Irvine, Jun 13 2025 | 2025-06-24T09:59:02 | oeisdata/seq/A385/A385039.seq | 4ee407209444c80b6659d15c339268ad |
A385040 | Number of isomorphism classes of virtual racks of order n. | [
"1",
"1",
"4",
"15",
"71",
"350",
"2372",
"18543",
"199491"
]
| [
"nonn",
"hard",
"more",
"changed"
]
| 13 | 0 | 3 | [
"A165200",
"A176077",
"A177886",
"A178432",
"A179010",
"A181769",
"A181770",
"A181771",
"A193024",
"A196111",
"A198147",
"A225744",
"A226172",
"A226173",
"A226174",
"A226193",
"A236146",
"A242044",
"A242275",
"A243931",
"A248908",
"A254434",
"A257351",
"A383144",
"A383145",
"A383146",
"A383828",
"A383831",
"A385040",
"A385041"
]
| null | Luc Ta, Jun 16 2025 | 2025-07-09T17:34:38 | oeisdata/seq/A385/A385040.seq | 1c2ac32fa6a60fb4b033347d23c11baa |
A385041 | Number of isomorphism classes of virtual quandles of order n. | [
"1",
"1",
"2",
"8",
"26",
"104",
"467",
"2540",
"18419"
]
| [
"nonn",
"hard",
"more",
"changed"
]
| 11 | 0 | 3 | [
"A165200",
"A176077",
"A177886",
"A178432",
"A179010",
"A181769",
"A181770",
"A181771",
"A193024",
"A196111",
"A198147",
"A225744",
"A226172",
"A226173",
"A226174",
"A226193",
"A236146",
"A242044",
"A242275",
"A243931",
"A248908",
"A254434",
"A257351",
"A383144",
"A383145",
"A383146",
"A383828",
"A383831",
"A385040",
"A385041"
]
| null | Luc Ta, Jun 16 2025 | 2025-07-09T17:34:15 | oeisdata/seq/A385/A385041.seq | 22aea1d37307a42e557c2e81d57a4c73 |
A385042 | The number of unitary divisors of n whose exponents in their prime factorizations are all powers of 2 (A138302). | [
"1",
"2",
"2",
"2",
"2",
"4",
"2",
"1",
"2",
"4",
"2",
"4",
"2",
"4",
"4",
"2",
"2",
"4",
"2",
"4",
"4",
"4",
"2",
"2",
"2",
"4",
"1",
"4",
"2",
"8",
"2",
"1",
"4",
"4",
"4",
"4",
"2",
"4",
"4",
"2",
"2",
"8",
"2",
"4",
"4",
"4",
"2",
"4",
"2",
"4",
"4",
"4",
"2",
"2",
"4",
"2",
"4",
"4",
"2",
"8",
"2",
"4",
"4",
"1",
"4",
"8",
"2",
"4",
"4",
"8",
"2",
"2",
"2",
"4",
"4",
"4",
"4",
"8",
"2",
"4",
"2",
"4",
"2",
"8",
"4",
"4",
"4"
]
| [
"nonn",
"easy",
"mult"
]
| 8 | 1 | 2 | [
"A000034",
"A005117",
"A034444",
"A055076",
"A056624",
"A056671",
"A068068",
"A138302",
"A209229",
"A323308",
"A353898",
"A365498",
"A365499",
"A367168",
"A367515",
"A368248",
"A380395",
"A382488",
"A385042",
"A385043",
"A385044"
]
| null | Amiram Eldar, Jun 16 2025 | 2025-06-16T16:54:09 | oeisdata/seq/A385/A385042.seq | 600ef0198dc6f6a923ef1bc82b18d750 |
A385043 | The sum of the unitary divisors of n whose exponents in their prime factorizations are all powers of 2 (A138302). | [
"1",
"3",
"4",
"5",
"6",
"12",
"8",
"1",
"10",
"18",
"12",
"20",
"14",
"24",
"24",
"17",
"18",
"30",
"20",
"30",
"32",
"36",
"24",
"4",
"26",
"42",
"1",
"40",
"30",
"72",
"32",
"1",
"48",
"54",
"48",
"50",
"38",
"60",
"56",
"6",
"42",
"96",
"44",
"60",
"60",
"72",
"48",
"68",
"50",
"78",
"72",
"70",
"54",
"3",
"72",
"8",
"80",
"90",
"60",
"120",
"62",
"96",
"80",
"1",
"84",
"144",
"68",
"90",
"96"
]
| [
"nonn",
"easy",
"mult"
]
| 8 | 1 | 2 | [
"A005117",
"A034448",
"A092261",
"A138302",
"A192066",
"A209229",
"A353900",
"A358346",
"A358347",
"A360720",
"A371242",
"A380396",
"A383763",
"A385042",
"A385043",
"A385045",
"A385046",
"A385047",
"A385048",
"A385049"
]
| null | Amiram Eldar, Jun 16 2025 | 2025-06-16T16:54:14 | oeisdata/seq/A385/A385043.seq | 8b5c8b3d194caf403f265520b87fa5a0 |
A385044 | The number of unitary divisors of n that are 5-rough numbers (A007310). | [
"1",
"1",
"1",
"1",
"2",
"1",
"2",
"1",
"1",
"2",
"2",
"1",
"2",
"2",
"2",
"1",
"2",
"1",
"2",
"2",
"2",
"2",
"2",
"1",
"2",
"2",
"1",
"2",
"2",
"2",
"2",
"1",
"2",
"2",
"4",
"1",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"1",
"2",
"2",
"2",
"2",
"2",
"1",
"4",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"1",
"4",
"2",
"2",
"2",
"2",
"4",
"2",
"1",
"2",
"2",
"2",
"2",
"4",
"2",
"2",
"2",
"1",
"2",
"2",
"2",
"4",
"2",
"2"
]
| [
"nonn",
"easy",
"mult"
]
| 8 | 1 | 5 | [
"A000034",
"A001620",
"A007310",
"A013661",
"A034444",
"A035218",
"A055076",
"A056624",
"A056671",
"A065330",
"A068068",
"A306016",
"A323308",
"A365498",
"A365499",
"A368248",
"A380395",
"A382488",
"A385042",
"A385044",
"A385045"
]
| null | Amiram Eldar, Jun 16 2025 | 2025-06-16T16:53:21 | oeisdata/seq/A385/A385044.seq | 5305125cbe7662c0e94421758b484cff |
A385045 | The sum of the unitary divisors of n that are 5-rough numbers (A007310). | [
"1",
"1",
"1",
"1",
"6",
"1",
"8",
"1",
"1",
"6",
"12",
"1",
"14",
"8",
"6",
"1",
"18",
"1",
"20",
"6",
"8",
"12",
"24",
"1",
"26",
"14",
"1",
"8",
"30",
"6",
"32",
"1",
"12",
"18",
"48",
"1",
"38",
"20",
"14",
"6",
"42",
"8",
"44",
"12",
"6",
"24",
"48",
"1",
"50",
"26",
"18",
"14",
"54",
"1",
"72",
"8",
"20",
"30",
"60",
"6",
"62",
"32",
"8",
"1",
"84",
"12",
"68",
"18",
"24",
"48",
"72",
"1",
"74",
"38"
]
| [
"nonn",
"easy",
"mult"
]
| 7 | 1 | 5 | [
"A002117",
"A007310",
"A034448",
"A065330",
"A092261",
"A186099",
"A192066",
"A358346",
"A358347",
"A360720",
"A371242",
"A380396",
"A383763",
"A385043",
"A385044",
"A385045",
"A385046",
"A385047",
"A385048",
"A385049"
]
| null | Amiram Eldar, Jun 16 2025 | 2025-06-16T16:54:02 | oeisdata/seq/A385/A385045.seq | 27a3f06286d782d39fade60bd5a79a0c |
A385046 | The sum of the unitary divisors of n that are 3-smooth numbers (A003586). | [
"1",
"3",
"4",
"5",
"1",
"12",
"1",
"9",
"10",
"3",
"1",
"20",
"1",
"3",
"4",
"17",
"1",
"30",
"1",
"5",
"4",
"3",
"1",
"36",
"1",
"3",
"28",
"5",
"1",
"12",
"1",
"33",
"4",
"3",
"1",
"50",
"1",
"3",
"4",
"9",
"1",
"12",
"1",
"5",
"10",
"3",
"1",
"68",
"1",
"3",
"4",
"5",
"1",
"84",
"1",
"9",
"4",
"3",
"1",
"20",
"1",
"3",
"10",
"65",
"1",
"12",
"1",
"5",
"4",
"3",
"1",
"90",
"1",
"3",
"4",
"5",
"1",
"12",
"1",
"17"
]
| [
"nonn",
"easy",
"mult"
]
| 8 | 1 | 2 | [
"A001620",
"A003586",
"A034448",
"A065331",
"A072079",
"A082633",
"A092261",
"A192066",
"A358346",
"A358347",
"A360720",
"A371242",
"A380396",
"A382488",
"A383763",
"A385043",
"A385045",
"A385046",
"A385047",
"A385048",
"A385049"
]
| null | Amiram Eldar, Jun 16 2025 | 2025-06-16T16:53:14 | oeisdata/seq/A385/A385046.seq | 05075d73ec598585b51ba1b322aea67f |
A385047 | The sum of the unitary divisors of n that are powers of 2. | [
"1",
"3",
"1",
"5",
"1",
"3",
"1",
"9",
"1",
"3",
"1",
"5",
"1",
"3",
"1",
"17",
"1",
"3",
"1",
"5",
"1",
"3",
"1",
"9",
"1",
"3",
"1",
"5",
"1",
"3",
"1",
"33",
"1",
"3",
"1",
"5",
"1",
"3",
"1",
"9",
"1",
"3",
"1",
"5",
"1",
"3",
"1",
"17",
"1",
"3",
"1",
"5",
"1",
"3",
"1",
"9",
"1",
"3",
"1",
"5",
"1",
"3",
"1",
"65",
"1",
"3",
"1",
"5",
"1",
"3",
"1",
"9",
"1",
"3",
"1",
"5",
"1",
"3",
"1",
"17",
"1",
"3",
"1",
"5",
"1",
"3"
]
| [
"nonn",
"easy",
"mult"
]
| 8 | 1 | 2 | [
"A001620",
"A006519",
"A034448",
"A038712",
"A092261",
"A192066",
"A358346",
"A358347",
"A360720",
"A371242",
"A380396",
"A383763",
"A385043",
"A385045",
"A385046",
"A385047",
"A385048",
"A385049"
]
| null | Amiram Eldar, Jun 16 2025 | 2025-06-16T16:53:00 | oeisdata/seq/A385/A385047.seq | d84acd10c436e095c33409ba96e2249a |
A385048 | The sum of the unitary divisors of n that are cubefull numbers (A036966). | [
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"9",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"17",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"9",
"1",
"1",
"28",
"1",
"1",
"1",
"1",
"33",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"9",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"17",
"1",
"1",
"1",
"1",
"1",
"28",
"1",
"9",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"65",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"9",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"17",
"82",
"1",
"1",
"1",
"1"
]
| [
"nonn",
"easy",
"mult"
]
| 9 | 1 | 8 | [
"A034448",
"A036966",
"A046100",
"A092261",
"A192066",
"A358346",
"A358347",
"A360540",
"A360720",
"A368248",
"A371242",
"A380396",
"A383763",
"A385005",
"A385043",
"A385045",
"A385046",
"A385047",
"A385048",
"A385049"
]
| null | Amiram Eldar, Jun 16 2025 | 2025-06-16T16:53:08 | oeisdata/seq/A385/A385048.seq | 2c4007ab78d3497f7c127ff03bde7322 |
A385049 | The sum of the unitary divisors of n that are biquadratefree numbers (A046100). | [
"1",
"3",
"4",
"5",
"6",
"12",
"8",
"9",
"10",
"18",
"12",
"20",
"14",
"24",
"24",
"1",
"18",
"30",
"20",
"30",
"32",
"36",
"24",
"36",
"26",
"42",
"28",
"40",
"30",
"72",
"32",
"1",
"48",
"54",
"48",
"50",
"38",
"60",
"56",
"54",
"42",
"96",
"44",
"60",
"60",
"72",
"48",
"4",
"50",
"78",
"72",
"70",
"54",
"84",
"72",
"72",
"80",
"90",
"60",
"120",
"62",
"96",
"80",
"1",
"84",
"144",
"68",
"90"
]
| [
"nonn",
"easy",
"mult"
]
| 9 | 1 | 2 | [
"A036967",
"A046100",
"A092261",
"A192066",
"A358346",
"A358347",
"A360720",
"A365499",
"A371242",
"A380396",
"A383763",
"A385006",
"A385007",
"A385043",
"A385045",
"A385046",
"A385047",
"A385048",
"A385049"
]
| null | Amiram Eldar, Jun 16 2025 | 2025-06-16T16:52:53 | oeisdata/seq/A385/A385049.seq | e9a8644608d450ebe466ce42d8f64b87 |
A385050 | a(n) is the least positive number k such that n is the greatest m such that k is a quadratic residue mod prime(i) for i=1..m and {k mod prime(i): i=1..m} are all distinct. | [
"1",
"3",
"4",
"184",
"9",
"1479",
"20799",
"31509",
"162094",
"83554",
"828844",
"895449",
"4631104",
"86925309",
"97476129",
"14684224",
"33547264",
"5381151099",
"516743824",
"1958770564",
"112746608529",
"3046156864",
"373079083204",
"1394424964",
"297469886464",
"1596601563489",
"976001733184",
"33344131402059"
]
| [
"nonn",
"new"
]
| 20 | 1 | 2 | [
"A279074",
"A377212",
"A385050",
"A385051"
]
| null | Charles L. Hohn, Jun 16 2025 | 2025-07-12T19:27:10 | oeisdata/seq/A385/A385050.seq | b47485f455753cbed1a37dc0f8e50ceb |
A385051 | a(n) is the least positive number k such that n is the greatest m such that k is a quadratic nonresidue mod prime(i+1) for i=1..m and {k mod prime(i+1): i=1..m} are all distinct. | [
"1",
"2",
"8",
"68",
"173",
"593",
"1748",
"908",
"40178",
"74093",
"91538",
"93308",
"441803",
"10712063",
"7898483",
"35865968",
"133019963",
"206951093",
"1314259253",
"2453647853",
"6701493818",
"54776939873",
"7717930358",
"250589717363",
"255937042268",
"3665861003153",
"957987212453",
"9953155219223"
]
| [
"nonn",
"new"
]
| 20 | 0 | 2 | [
"A279074",
"A376999",
"A385050",
"A385051"
]
| null | Charles L. Hohn, Jun 16 2025 | 2025-07-12T19:49:48 | oeisdata/seq/A385/A385051.seq | 3534a84941f4c7a3fe47ff32f585ab2e |
A385054 | Numbers k such that (2*k-1)*2^valuation(k, 2) != denominator(2*Euler(2*k-1, 1)/(2*k-1)). | [
"60",
"140",
"196",
"280",
"295",
"332",
"390",
"468",
"574",
"581",
"604",
"605",
"621",
"740",
"760",
"826",
"876",
"935",
"1012",
"1070",
"1148",
"1183",
"1185",
"1210",
"1225",
"1240",
"1269",
"1278",
"1284",
"1376",
"1420",
"1484",
"1526",
"1535",
"1556",
"1690",
"1692",
"1715",
"1828",
"1906",
"1908",
"1910",
"1914",
"1928",
"1935",
"1964",
"2000"
]
| [
"nonn"
]
| 7 | 1 | 1 | [
"A219931",
"A385054"
]
| null | Peter Luschny, Jun 16 2025 | 2025-06-17T08:13:03 | oeisdata/seq/A385/A385054.seq | aa363e34322fc9ee5c8da7d2485ce94d |
A385055 | a(n) = [n = 1 or A076479(n) = Möbius(A067029(n))], where [.] is the Iverson bracket. | [
"1",
"0",
"0",
"1",
"0",
"1",
"0",
"1",
"1",
"1",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"1",
"1",
"0",
"0",
"0",
"0",
"1",
"1",
"1",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"1",
"0",
"0",
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"1",
"1",
"1",
"1",
"0",
"0",
"0"
]
| [
"nonn"
]
| 14 | 1 | null | [
"A008683",
"A067029",
"A076479",
"A384709",
"A385055"
]
| null | Peter Luschny and Friedjof Tellkamp, Jun 16 2025 | 2025-06-25T12:03:55 | oeisdata/seq/A385/A385055.seq | 01742f6e1591460533e26a295bf22679 |
A385056 | Prime numbers whose digit product is a positive cube. | [
"11",
"139",
"181",
"193",
"241",
"389",
"421",
"811",
"839",
"881",
"983",
"1181",
"1193",
"1319",
"1777",
"1811",
"1913",
"1931",
"1999",
"2141",
"2221",
"2269",
"2411",
"2663",
"3119",
"3191",
"3313",
"3331",
"3463",
"3643",
"3833",
"3889",
"3911",
"4211",
"4363",
"4441",
"4691",
"6229",
"6263",
"6343",
"6491",
"6661",
"7177",
"7717",
"7877",
"8111"
]
| [
"nonn",
"base"
]
| 27 | 1 | 1 | [
"A000040",
"A038618",
"A184328",
"A237767",
"A385056"
]
| null | Mohd Anwar Jamal Faiz, Jun 16 2025 | 2025-06-22T23:30:26 | oeisdata/seq/A385/A385056.seq | 6c11527eb9a75c498cb07d22b7e2c8c7 |
A385058 | E.g.f. A(x) satisfies A(x) = exp(x*A(x)/A(-x*A(x))). | [
"1",
"1",
"5",
"31",
"333",
"3841",
"57463",
"836109",
"11138921",
"14908465",
"-10091931669",
"-687827361011",
"-40151825312387",
"-2071761364164231",
"-106488772704576961",
"-5002145237145820979",
"-203989286928198178863",
"-4164191357488024315679",
"500440079223957671460307",
"99906607739361143393212941"
]
| [
"sign"
]
| 7 | 0 | 3 | [
"A052750",
"A384982",
"A385058",
"A385061"
]
| null | Seiichi Manyama, Jun 16 2025 | 2025-06-16T08:42:35 | oeisdata/seq/A385/A385058.seq | 1c9777b20f612c5a2e23ecd35127fce4 |
A385059 | E.g.f. A(x) satisfies A(x) = exp(x*A(x)/A(-x*A(x))^2). | [
"1",
"1",
"7",
"40",
"397",
"2336",
"-46601",
"-2661896",
"-125428775",
"-3724273664",
"-90080842229",
"1096530753176",
"400257318802213",
"36023363702572000",
"2951479723885410943",
"178834401869241704056",
"8444450128124255913649",
"-59239960097902788177664",
"-92000068200778017857238125"
]
| [
"sign"
]
| 8 | 0 | 3 | [
"A052752",
"A384983",
"A385059",
"A385062"
]
| null | Seiichi Manyama, Jun 16 2025 | 2025-06-16T08:42:19 | oeisdata/seq/A385/A385059.seq | 90665317bb485f8a989a6f7b995a1bb8 |
A385060 | E.g.f. A(x) satisfies A(x) = exp(x*A(x)/A(-x*A(x))^3). | [
"1",
"1",
"9",
"43",
"125",
"-6279",
"-412025",
"-9060911",
"-98234103",
"10633082401",
"1397628908171",
"76301056937865",
"3570677332342477",
"-21017427583370399",
"-28544077526642620977",
"-3624219130398256821119",
"-403594553235196466813935",
"-26214785940427662614214975",
"-249746440937109731554641389"
]
| [
"sign"
]
| 8 | 0 | 3 | [
"A052774",
"A384984",
"A385060",
"A385063"
]
| null | Seiichi Manyama, Jun 16 2025 | 2025-06-16T08:40:54 | oeisdata/seq/A385/A385060.seq | 03cc93bdfa9faa73c3b715def025571c |
A385061 | Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A385058. | [
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"5",
"0",
"1",
"3",
"12",
"31",
"0",
"1",
"4",
"21",
"92",
"333",
"0",
"1",
"5",
"32",
"189",
"1064",
"3841",
"0",
"1",
"6",
"45",
"328",
"2373",
"14112",
"57463",
"0",
"1",
"7",
"60",
"515",
"4464",
"34923",
"230188",
"836109",
"0",
"1",
"8",
"77",
"756",
"7565",
"71584",
"615195",
"4005920",
"11138921",
"0",
"1",
"9",
"96",
"1057",
"11928",
"130725",
"1351384",
"11934219",
"72843408",
"14908465",
"0"
]
| [
"sign",
"tabl"
]
| 10 | 0 | 8 | [
"A000007",
"A385058",
"A385061"
]
| null | Seiichi Manyama, Jun 16 2025 | 2025-06-16T08:43:06 | oeisdata/seq/A385/A385061.seq | 34d4ca5c3d034017c13b5dbf8e68a246 |
A385062 | Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A385059. | [
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"7",
"0",
"1",
"3",
"16",
"40",
"0",
"1",
"4",
"27",
"122",
"397",
"0",
"1",
"5",
"40",
"252",
"1408",
"2336",
"0",
"1",
"6",
"55",
"436",
"3285",
"14242",
"-46601",
"0",
"1",
"7",
"72",
"680",
"6304",
"42528",
"50200",
"-2661896",
"0",
"1",
"8",
"91",
"990",
"10765",
"95684",
"457803",
"-4177822",
"-125428775",
"0",
"1",
"9",
"112",
"1372",
"16992",
"184000",
"1415728",
"-595872",
"-290217568",
"-3724273664",
"0"
]
| [
"sign",
"tabl"
]
| 8 | 0 | 8 | [
"A000007",
"A385059",
"A385062"
]
| null | Seiichi Manyama, Jun 16 2025 | 2025-06-16T08:42:04 | oeisdata/seq/A385/A385062.seq | 2fe0dc183ac0ad81ea482d645b29b948 |
A385063 | Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A385060. | [
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"9",
"0",
"1",
"3",
"20",
"43",
"0",
"1",
"4",
"33",
"140",
"125",
"0",
"1",
"5",
"48",
"297",
"1080",
"-6279",
"0",
"1",
"6",
"65",
"520",
"3189",
"-3568",
"-412025",
"0",
"1",
"7",
"84",
"815",
"6800",
"18003",
"-828668",
"-9060911",
"0",
"1",
"8",
"105",
"1188",
"12285",
"70464",
"-1033749",
"-25887384",
"-98234103",
"0"
]
| [
"sign",
"tabl"
]
| 8 | 0 | 8 | [
"A000007",
"A385060",
"A385063"
]
| null | Seiichi Manyama, Jun 16 2025 | 2025-06-16T08:41:38 | oeisdata/seq/A385/A385063.seq | 9a541714e93313f9b6644dbfe635a64d |
A385064 | Numbers k such that (31^k - 3^k)/28 is prime. | [
"3",
"23",
"53",
"661",
"8923",
"9721",
"13807"
]
| [
"nonn",
"hard",
"more"
]
| 12 | 1 | 1 | [
"A062587",
"A062589",
"A127996",
"A127997",
"A128344",
"A204940",
"A217320",
"A225807",
"A229542",
"A375161",
"A375236",
"A377031",
"A385064"
]
| null | Robert Price, Jun 16 2025 | 2025-06-17T11:29:16 | oeisdata/seq/A385/A385064.seq | 4e1181847bfdb92661394d13e983c4a5 |
A385067 | G.f.: Sum_{k>=0} x^k * Product_{j=1..3*k} (1 + x^j). | [
"1",
"1",
"2",
"3",
"5",
"6",
"8",
"11",
"14",
"18",
"23",
"30",
"38",
"47",
"58",
"71",
"87",
"106",
"128",
"154",
"185",
"221",
"263",
"313",
"370",
"437",
"514",
"603",
"705",
"822",
"958",
"1112",
"1289",
"1491",
"1721",
"1982",
"2279",
"2617",
"2999",
"3432",
"3921",
"4473",
"5095",
"5795",
"6583",
"7468",
"8461",
"9574",
"10820",
"12214",
"13772",
"15512",
"17453"
]
| [
"nonn"
]
| 11 | 0 | 3 | [
"A000009",
"A035295",
"A192433",
"A385067",
"A385068",
"A385069",
"A385070"
]
| null | Vaclav Kotesovec, Jun 16 2025 | 2025-06-17T03:33:44 | oeisdata/seq/A385/A385067.seq | 32ad97d06da797b26dc3d8d4e209da93 |
A385068 | G.f.: Sum_{k>=0} x^k * Product_{j=1..4*k} (1 + x^j). | [
"1",
"1",
"2",
"3",
"5",
"7",
"9",
"12",
"16",
"20",
"26",
"33",
"41",
"52",
"65",
"81",
"99",
"121",
"147",
"177",
"214",
"255",
"304",
"362",
"429",
"507",
"596",
"700",
"820",
"959",
"1119",
"1301",
"1510",
"1750",
"2023",
"2335",
"2688",
"3089",
"3546",
"4062",
"4647",
"5306",
"6050",
"6889",
"7833",
"8895",
"10085",
"11422",
"12921",
"14599",
"16477",
"18573",
"20914"
]
| [
"nonn"
]
| 12 | 0 | 3 | [
"A000009",
"A035296",
"A192433",
"A385067",
"A385068",
"A385069",
"A385070"
]
| null | Vaclav Kotesovec, Jun 16 2025 | 2025-06-17T03:34:21 | oeisdata/seq/A385/A385068.seq | c36ada9d16f32c5aadf071d39647f897 |
A385069 | G.f.: Sum_{k>=0} x^k * Product_{j=1..5*k} (1 + x^j). | [
"1",
"1",
"2",
"3",
"5",
"7",
"10",
"13",
"17",
"22",
"28",
"36",
"45",
"56",
"69",
"86",
"106",
"130",
"159",
"192",
"232",
"279",
"333",
"397",
"472",
"557",
"657",
"773",
"905",
"1059",
"1236",
"1437",
"1669",
"1935",
"2236",
"2582",
"2976",
"3422",
"3930",
"4507",
"5157",
"5894",
"6728",
"7664",
"8721",
"9911",
"11246",
"12746",
"14430",
"16312",
"18421",
"20780"
]
| [
"nonn"
]
| 11 | 0 | 3 | [
"A000009",
"A035297",
"A192433",
"A385067",
"A385068",
"A385069",
"A385070"
]
| null | Vaclav Kotesovec, Jun 16 2025 | 2025-06-17T03:34:57 | oeisdata/seq/A385/A385069.seq | ef247f17e48c7aaf838ffa10f52c2e81 |
A385070 | G.f.: Sum_{k>=0} x^k * Product_{j=1..6*k} (1 + x^j). | [
"1",
"1",
"2",
"3",
"5",
"7",
"10",
"14",
"18",
"23",
"30",
"38",
"48",
"60",
"74",
"91",
"112",
"137",
"166",
"202",
"244",
"294",
"352",
"420",
"500",
"592",
"700",
"824",
"968",
"1133",
"1323",
"1541",
"1791",
"2077",
"2403",
"2776",
"3198",
"3679",
"4226",
"4845",
"5546",
"6340",
"7236",
"8246",
"9385",
"10667",
"12108",
"13728",
"15545",
"17581",
"19860",
"22409"
]
| [
"nonn"
]
| 12 | 0 | 3 | [
"A000009",
"A035298",
"A192433",
"A385067",
"A385068",
"A385069",
"A385070"
]
| null | Vaclav Kotesovec, Jun 16 2025 | 2025-06-17T03:35:40 | oeisdata/seq/A385/A385070.seq | b15ca5e0ac9a5376dde7e03cb80532fb |
A385071 | a(n) = number of triangular numbers <= n-th tetrahedral number. | [
"1",
"2",
"3",
"5",
"6",
"8",
"11",
"13",
"16",
"18",
"21",
"24",
"27",
"30",
"33",
"37",
"40",
"44",
"48",
"52",
"56",
"60",
"64",
"68",
"72",
"76",
"81",
"85",
"90",
"95",
"100",
"104",
"109",
"114",
"120",
"125",
"130",
"135",
"141",
"146",
"152",
"157",
"163",
"168",
"174",
"180",
"186",
"192",
"198",
"204",
"210",
"216",
"223",
"229",
"235",
"242",
"248",
"255",
"262"
]
| [
"nonn"
]
| 8 | 0 | 2 | [
"A000217",
"A000292",
"A385071",
"A385072"
]
| null | Clark Kimberling, Jun 16 2025 | 2025-06-27T19:26:58 | oeisdata/seq/A385/A385071.seq | 01bd2c6ba20c1810cc89f1893a51fad0 |
A385072 | a(n) = number of tetrahedral numbers <= n-th triangular number. | [
"1",
"2",
"2",
"3",
"4",
"4",
"5",
"5",
"6",
"6",
"6",
"7",
"7",
"8",
"8",
"9",
"9",
"9",
"10",
"10",
"10",
"11",
"11",
"11",
"12",
"12",
"12",
"13",
"13",
"13",
"14",
"14",
"14",
"15",
"15",
"15",
"15",
"16",
"16",
"16",
"17",
"17",
"17",
"17",
"18",
"18",
"18",
"18",
"19",
"19",
"19",
"19",
"20",
"20",
"20",
"21",
"21",
"21",
"21",
"21",
"22",
"22",
"22",
"22",
"23",
"23",
"23",
"23",
"24"
]
| [
"nonn"
]
| 8 | 0 | 2 | [
"A000217",
"A000292",
"A385071",
"A385072"
]
| null | Clark Kimberling, Jun 19 2025 | 2025-06-27T19:43:42 | oeisdata/seq/A385/A385072.seq | 7a291e65f4a6dee1e7c2273e9e50a6ec |
A385073 | a(n) = b^(n-1) mod n, where b = A053669(n) is the least integer greater than 1 and coprime to n. | [
"0",
"1",
"1",
"3",
"1",
"5",
"1",
"3",
"4",
"3",
"1",
"5",
"1",
"3",
"4",
"11",
"1",
"11",
"1",
"7",
"4",
"3",
"1",
"5",
"16",
"3",
"13",
"27",
"1",
"7",
"1",
"11",
"4",
"3",
"9",
"29",
"1",
"3",
"4",
"27",
"1",
"17",
"1",
"27",
"31",
"3",
"1",
"29",
"15",
"33",
"4",
"27",
"1",
"11",
"49",
"3",
"4",
"3",
"1",
"43",
"1",
"3",
"4",
"43",
"16",
"23",
"1",
"27",
"4",
"13",
"1",
"29",
"1",
"3",
"34",
"27",
"9",
"5",
"1",
"27",
"40",
"3",
"1",
"17"
]
| [
"nonn",
"look"
]
| 35 | 1 | 4 | [
"A053669",
"A385073",
"A385074"
]
| null | Robert G. Wilson v, Jun 16 2025 | 2025-06-25T18:05:51 | oeisdata/seq/A385/A385073.seq | 10da487304964ab8f153bb6b1eaca92c |
A385074 | Index of the first occurrence of n in A385073. | [
"1",
"2",
"20737",
"4",
"9",
"6",
"3763",
"20",
"40369",
"35",
"2951",
"16",
"35622023",
"27",
"2041",
"49",
"25",
"42",
"697",
"2168",
"18537061",
"31958",
"117",
"66",
"356698651",
"147",
"7863277",
"28"
]
| [
"nonn",
"more"
]
| 18 | 0 | 2 | [
"A385073",
"A385074"
]
| null | Robert G. Wilson v, Jun 16 2025 | 2025-06-27T00:37:49 | oeisdata/seq/A385/A385074.seq | b37611d5d186711698b104347c38e33a |
A385075 | Numbers k for which sigma(k - x) + sigma(k + x) = 9*k has at least one nonnegative solution. | [
"361881",
"792960",
"835072",
"837312",
"846720",
"917280",
"944608",
"946176",
"1509236",
"1517264",
"1630880",
"1635600",
"1636614",
"1697560",
"1834560",
"1914092",
"1926336",
"1927692",
"1941264",
"2387120",
"2450112",
"2474316",
"2494464",
"2546656",
"2573088",
"2624832",
"2685394",
"2705680",
"2840468",
"2913120",
"2941009"
]
| [
"nonn"
]
| 9 | 1 | 1 | [
"A000203",
"A141645",
"A383268",
"A383758",
"A384838",
"A384839",
"A384840",
"A384841",
"A385075"
]
| null | Michel Marcus, Jun 16 2025 | 2025-06-16T18:13:05 | oeisdata/seq/A385/A385075.seq | 18bf0933946a6ca5f21882db175eecd6 |
A385078 | Consecutive states of the linear congruential pseudo-random number generator (967*s + 3041) mod 14406 when started at s=1. | [
"1",
"4008",
"3563",
"5428",
"8133",
"1976",
"12241",
"12762",
"12359",
"11620",
"2901",
"13544",
"5035",
"2658",
"9059",
"4246",
"3213",
"12722",
"2491",
"6036",
"5423",
"3298",
"8481",
"7154",
"6079",
"3786",
"4979",
"6130",
"9885",
"10658",
"9037",
"11784",
"3023",
"1864",
"4779",
"8",
"10777",
"8862",
"1025",
"202",
"11097",
"1370",
"2479"
]
| [
"nonn",
"look",
"easy"
]
| 16 | 1 | 2 | [
"A384113",
"A384971",
"A385002",
"A385036",
"A385078"
]
| null | Sean A. Irvine, Jun 16 2025 | 2025-06-25T10:33:41 | oeisdata/seq/A385/A385078.seq | 3755261afbff911acaf81f4a7792f5ed |
A385079 | Consecutive states of the linear congruential pseudo-random number generator 228*s mod (2^16+1) when started at s=1. | [
"1",
"228",
"51984",
"55692",
"49135",
"61490",
"60339",
"60059",
"61756",
"55450",
"59496",
"64466",
"17960",
"31586",
"58075",
"2626",
"8895",
"61950",
"34145",
"51694",
"55109",
"47285",
"32912",
"32718",
"54023",
"61825",
"5645",
"41857",
"40531",
"351",
"14491",
"27098",
"17866",
"10154",
"21317",
"10538",
"43332",
"49146",
"63998"
]
| [
"nonn",
"easy"
]
| 19 | 1 | 2 | [
"A384113",
"A384971",
"A385002",
"A385079",
"A385080"
]
| null | Sean A. Irvine, Jun 16 2025 | 2025-06-20T08:38:10 | oeisdata/seq/A385/A385079.seq | 1f143b6aae65a42c102b0f78ecedb8b0 |
A385080 | Consecutive states of the linear congruential pseudo-random number generator 237*s mod (2^16+1) when started at s=1. | [
"1",
"237",
"56169",
"8042",
"5381",
"30094",
"54282",
"19582",
"53344",
"59424",
"58570",
"52783",
"57541",
"5521",
"63274",
"53502",
"31333",
"20240",
"12679",
"55758",
"41709",
"54483",
"1682",
"5412",
"37441",
"26022",
"6736",
"23544",
"9283",
"37350",
"4455",
"7243",
"12629",
"43908",
"51350",
"45605",
"60317",
"8063",
"10358"
]
| [
"nonn",
"easy"
]
| 17 | 1 | 2 | [
"A385079",
"A385080"
]
| null | Sean A. Irvine, Jun 16 2025 | 2025-06-20T08:21:54 | oeisdata/seq/A385/A385080.seq | 0eedab36581165b60b47a8985fd28c91 |
A385081 | Irregular triangle T(n,k) of refined derangement counts in the symmetric group S_(n+1), refined per cycle type. | [
"1",
"2",
"3",
"6",
"20",
"24",
"15",
"90",
"40",
"120",
"210",
"504",
"420",
"720",
"105",
"1260",
"1120",
"3360",
"2688",
"1260",
"5040",
"2520",
"9072",
"15120",
"25920",
"2240",
"20160",
"18144",
"40320",
"945",
"18900",
"25200",
"75600",
"120960",
"56700",
"226800",
"50400",
"172800",
"151200",
"72576",
"362880"
]
| [
"nonn",
"tabf",
"new"
]
| 22 | 1 | 2 | [
"A000166",
"A181897",
"A385081"
]
| null | Gregory Gerard Wojnar, Jun 16 2025 | 2025-07-09T23:08:07 | oeisdata/seq/A385/A385081.seq | 6f8bda494e7938c0c749378f648c6a3d |
A385082 | Sum of squared coefficients of Product_{i=0..n-1} 1+x^(2^i+1)+x^(2^(i+1)+1). | [
"1",
"3",
"13",
"55",
"249",
"1121",
"5025",
"22607",
"101931",
"460877",
"2088687",
"9482763",
"43109307",
"196163983",
"893222041",
"4069162197",
"18543631161",
"84525140297",
"385343891847",
"1756959373157",
"8011450183181",
"36533108258455",
"166602342944307",
"759783053580809",
"3465042771956289",
"15802856371611411"
]
| [
"nonn"
]
| 17 | 0 | 2 | [
"A052984",
"A385082"
]
| null | Michel Marcus, Jun 16 2025 | 2025-06-18T16:02:11 | oeisdata/seq/A385/A385082.seq | 1f18da92861b36cc8fd5726ba1a32790 |
A385083 | Expansion of e.g.f. cosh(x)*(x + x^2/2). | [
"0",
"1",
"1",
"3",
"6",
"5",
"15",
"7",
"28",
"9",
"45",
"11",
"66",
"13",
"91",
"15",
"120",
"17",
"153",
"19",
"190",
"21",
"231",
"23",
"276",
"25",
"325",
"27",
"378",
"29",
"435",
"31",
"496",
"33",
"561",
"35",
"630",
"37",
"703",
"39",
"780",
"41",
"861",
"43",
"946",
"45",
"1035",
"47",
"1128",
"49",
"1225",
"51",
"1326",
"53",
"1431",
"55",
"1540",
"57",
"1653",
"59",
"1770"
]
| [
"nonn",
"easy"
]
| 9 | 0 | 4 | [
"A000384",
"A005408",
"A385083"
]
| null | Enrique Navarrete, Jun 17 2025 | 2025-06-19T00:13:14 | oeisdata/seq/A385/A385083.seq | fcbb4f1961c08fc2f2d7e8b4b9900691 |
A385085 | a(n) = 2 * (3*n+2)^(n-1). | [
"1",
"2",
"16",
"242",
"5488",
"167042",
"6400000",
"296071778",
"16063620352",
"1000492825922",
"70368744177664",
"5517094707031250",
"477144100447105024",
"45126980600732372162",
"4633559988356427808768",
"513333972375334818668738",
"61035156250000000000000000",
"7752538100237033690795744642"
]
| [
"nonn",
"easy"
]
| 16 | 0 | 2 | [
"A007334",
"A052752",
"A385085",
"A385086"
]
| null | Seiichi Manyama, Jun 17 2025 | 2025-06-17T10:04:59 | oeisdata/seq/A385/A385085.seq | 7488b018eac5fa946c56b6bac82262ce |
A385086 | a(n) = 2 * (5*n+2)^(n-1). | [
"1",
"2",
"24",
"578",
"21296",
"1062882",
"67108864",
"5131452818",
"461078666496",
"47622573323522",
"5559811767271424",
"724066662913782498",
"104073121367674187776",
"16365437809265714289122",
"2794811034494209364066304",
"515110198093444174897047218",
"101914923171285428527995355136"
]
| [
"nonn",
"easy"
]
| 16 | 0 | 2 | [
"A007334",
"A052782",
"A385085",
"A385086"
]
| null | Seiichi Manyama, Jun 17 2025 | 2025-06-17T10:04:41 | oeisdata/seq/A385/A385086.seq | d6594e4e6fe5c7b8b6ffb5708c4cc5a1 |
A385087 | 2-adic valuation of A039699. | [
"3",
"3",
"10",
"3",
"6",
"8",
"12",
"3",
"6",
"6",
"11",
"8",
"11",
"12",
"16",
"3",
"6",
"6",
"12",
"6",
"9",
"13",
"17",
"8",
"11",
"11",
"16",
"12",
"15",
"16",
"20",
"3",
"6",
"6",
"14",
"6",
"9",
"11",
"15",
"6",
"9",
"9",
"14",
"13",
"16",
"17",
"21",
"8",
"11",
"11",
"17",
"11",
"14",
"17",
"21",
"12",
"15",
"15",
"20",
"16",
"19",
"20",
"24",
"3",
"6",
"6",
"13",
"6",
"9",
"11",
"15",
"6",
"9",
"9",
"14",
"11",
"14",
"15",
"19",
"6"
]
| [
"nonn",
"easy"
]
| 20 | 1 | 1 | [
"A000120",
"A002895",
"A007814",
"A039699",
"A385087"
]
| null | Michel Marcus, Jun 17 2025 | 2025-06-18T00:53:04 | oeisdata/seq/A385/A385087.seq | 96d887cb13a40f3b99b3543990d0bcf6 |
A385088 | G.f.: Sum_{k>=0} x^k * Product_{j=1..2*k} (1 + x^j)/(1 - x^j). | [
"1",
"1",
"3",
"7",
"13",
"23",
"39",
"63",
"101",
"159",
"243",
"367",
"547",
"801",
"1161",
"1665",
"2359",
"3315",
"4621",
"6385",
"8761",
"11941",
"16165",
"21757",
"29121",
"38761",
"51337",
"67673",
"88793",
"116009",
"150949",
"195629",
"252595",
"324987",
"416675",
"532483",
"678333",
"861489",
"1090913",
"1377553",
"1734761",
"2178883"
]
| [
"nonn"
]
| 11 | 0 | 3 | [
"A035294",
"A192433",
"A207641",
"A385088",
"A385089",
"A385090",
"A385091",
"A385092"
]
| null | Vaclav Kotesovec, Jun 17 2025 | 2025-06-18T07:34:52 | oeisdata/seq/A385/A385088.seq | db12c9f377c2959f0d08c2674d07315f |
A385089 | G.f.: Sum_{k>=0} x^k * Product_{j=1..3*k} (1 + x^j)/(1 - x^j). | [
"1",
"1",
"3",
"7",
"15",
"27",
"47",
"79",
"127",
"199",
"307",
"465",
"695",
"1025",
"1493",
"2151",
"3069",
"4337",
"6075",
"8441",
"11639",
"15933",
"21667",
"29281",
"39337",
"52555",
"69849",
"92375",
"121595",
"159347",
"207939",
"270259",
"349911",
"451377",
"580223",
"743341",
"949241",
"1208415",
"1533763",
"1941111",
"2449841",
"3083637"
]
| [
"nonn"
]
| 9 | 0 | 3 | [
"A035295",
"A207641",
"A385067",
"A385088",
"A385089",
"A385090",
"A385091",
"A385092"
]
| null | Vaclav Kotesovec, Jun 17 2025 | 2025-06-18T07:34:40 | oeisdata/seq/A385/A385089.seq | 18c39feb08aa91f8d17322fdb3950b55 |
A385090 | G.f.: Sum_{k>=0} x^k * Product_{j=1..4*k} (1 + x^j)/(1 - x^j). | [
"1",
"1",
"3",
"7",
"15",
"29",
"51",
"87",
"143",
"227",
"353",
"537",
"803",
"1185",
"1727",
"2489",
"3551",
"5021",
"7039",
"9791",
"13521",
"18541",
"25261",
"34207",
"46051",
"61655",
"82113",
"108815",
"143517",
"188433",
"246343",
"320725",
"415931",
"537377",
"691791",
"887517",
"1134863",
"1446549",
"1838235",
"2329147",
"2942849",
"3708165"
]
| [
"nonn"
]
| 9 | 0 | 3 | [
"A035296",
"A207641",
"A385068",
"A385088",
"A385089",
"A385090",
"A385091",
"A385092"
]
| null | Vaclav Kotesovec, Jun 17 2025 | 2025-06-18T07:34:26 | oeisdata/seq/A385/A385090.seq | e249be46461a5afab2680e1647ff62d3 |
A385091 | G.f.: Sum_{k>=0} x^k * Product_{j=1..5*k} (1 + x^j)/(1 - x^j). | [
"1",
"1",
"3",
"7",
"15",
"29",
"53",
"91",
"151",
"243",
"381",
"585",
"881",
"1305",
"1907",
"2753",
"3931",
"5559",
"7793",
"10835",
"14955",
"20501",
"27921",
"37801",
"50889",
"68139",
"90777",
"120353",
"158827",
"208683",
"273037",
"355791",
"461839",
"597273",
"769661",
"988411",
"1265149",
"1614215",
"2053297",
"2604113",
"3293281",
"4153407"
]
| [
"nonn"
]
| 10 | 0 | 3 | [
"A035297",
"A207641",
"A385069",
"A385088",
"A385089",
"A385090",
"A385091",
"A385092"
]
| null | Vaclav Kotesovec, Jun 17 2025 | 2025-06-18T07:41:28 | oeisdata/seq/A385/A385091.seq | abcdaa1108fcfedd89a893f3bdbb6aa2 |
A385092 | G.f.: Sum_{k>=0} x^k * Product_{j=1..6*k} (1 + x^j)/(1 - x^j). | [
"1",
"1",
"3",
"7",
"15",
"29",
"53",
"93",
"155",
"251",
"397",
"613",
"929",
"1385",
"2033",
"2945",
"4219",
"5979",
"8393",
"11683",
"16133",
"22119",
"30125",
"40773",
"54867",
"73435",
"97785",
"129583",
"170941",
"224519",
"293673",
"382615",
"496609",
"642231",
"827667",
"1063073",
"1361029",
"1737081",
"2210381",
"2804485",
"3548303",
"4477229"
]
| [
"nonn"
]
| 11 | 0 | 3 | [
"A035298",
"A207641",
"A385070",
"A385088",
"A385089",
"A385090",
"A385091",
"A385092"
]
| null | Vaclav Kotesovec, Jun 17 2025 | 2025-06-18T07:41:53 | oeisdata/seq/A385/A385092.seq | 249cba737b53e7c3d940675d79a85e25 |
A385093 | Primes preceded and followed by gaps whose quotient (value greater or equal to 1) is greater than 2 and less than 3. | [
"331",
"953",
"1381",
"1861",
"2161",
"2357",
"2371",
"2423",
"2879",
"3229",
"3271",
"3407",
"3491",
"3607",
"3643",
"3691",
"3889",
"4057",
"4073",
"4139",
"4201",
"4507",
"4567",
"4751",
"4831",
"4903",
"4987",
"5059",
"5153",
"5297",
"5309",
"5683",
"5897",
"6029",
"6053",
"6067",
"6173",
"6229",
"6529",
"6599",
"6653",
"6857",
"7079",
"7151",
"7159",
"7193",
"7283",
"7417",
"7717",
"7867",
"7963"
]
| [
"nonn"
]
| 13 | 1 | 1 | [
"A384603",
"A384618",
"A385093"
]
| null | Alain Rocchelli, Jun 17 2025 | 2025-06-29T10:06:02 | oeisdata/seq/A385/A385093.seq | 426104fcd3d2112238cefd9e3fcdc821 |
A385094 | Primes that are the sum of distinct positive cubes. | [
"73",
"197",
"251",
"281",
"307",
"349",
"379",
"433",
"443",
"503",
"521",
"541",
"547",
"577",
"587",
"631",
"659",
"673",
"701",
"709",
"719",
"757",
"821",
"827",
"829",
"853",
"863",
"881",
"883",
"919",
"947",
"953",
"1009",
"1091",
"1097",
"1153",
"1163",
"1171",
"1217",
"1223",
"1231",
"1249",
"1277",
"1289",
"1297",
"1307",
"1361",
"1367",
"1423",
"1433",
"1439",
"1483",
"1493"
]
| [
"nonn",
"easy"
]
| 17 | 1 | 1 | [
"A003997",
"A122723",
"A385094"
]
| null | Zhining Yang, Jun 17 2025 | 2025-06-25T11:03:31 | oeisdata/seq/A385/A385094.seq | 4e67675d790937f9da726834944aee13 |
A385095 | Numbers such that (-1)^Omega(k)*Moebius(espf(k)) > 0, where Moebius = A008683 and Omega = A001221, and espf(k) is the exponent of the smallest prime factor of k, with espf(1) = 1. | [
"1",
"4",
"6",
"8",
"9",
"10",
"14",
"15",
"18",
"21",
"22",
"25",
"26",
"27",
"32",
"33",
"34",
"35",
"38",
"39",
"46",
"49",
"50",
"51",
"54",
"55",
"57",
"58",
"60",
"62",
"65",
"69",
"74",
"75",
"77",
"82",
"84",
"85",
"86",
"87",
"91",
"93",
"94",
"95",
"98",
"106",
"111",
"115",
"118",
"119",
"120",
"121",
"122",
"123",
"125",
"128",
"129",
"132",
"133",
"134",
"140",
"141",
"142"
]
| [
"nonn"
]
| 14 | 1 | 2 | [
"A001221",
"A008683",
"A067029",
"A383264",
"A384709",
"A385055",
"A385095",
"A385096"
]
| null | Peter Luschny, Jun 17 2025 | 2025-06-23T03:37:50 | oeisdata/seq/A385/A385095.seq | 2d5efdea09b86dad6a77570c1cd05892 |
A385096 | Numbers such that (-1)^Omega(k)*Moebius(espf(k)) < 0, where Moebius = A008683 and Omega = A001221, and espf(k) is the exponent of the smallest prime factor of k, with espf(1) = 1. | [
"2",
"3",
"5",
"7",
"11",
"12",
"13",
"17",
"19",
"20",
"23",
"24",
"28",
"29",
"30",
"31",
"36",
"37",
"40",
"41",
"42",
"43",
"44",
"45",
"47",
"52",
"53",
"56",
"59",
"61",
"63",
"64",
"66",
"67",
"68",
"70",
"71",
"72",
"73",
"76",
"78",
"79",
"83",
"88",
"89",
"90",
"92",
"96",
"97",
"99",
"100",
"101",
"102",
"103",
"104",
"105",
"107",
"108",
"109",
"110",
"113",
"114",
"116",
"117"
]
| [
"nonn"
]
| 16 | 1 | 1 | [
"A001221",
"A008683",
"A067029",
"A383264",
"A384709",
"A385055",
"A385095",
"A385096"
]
| null | Peter Luschny, Jun 17 2025 | 2025-06-23T03:37:55 | oeisdata/seq/A385/A385096.seq | 3d1a8e8c5d270e54deecf04e99479269 |
A385097 | Numbers k such that Moebius(espf(k)) < 0, where espf(k) is the exponent of the smallest prime factor of k, with espf(1) = 1. | [
"4",
"8",
"9",
"12",
"20",
"24",
"25",
"27",
"28",
"32",
"36",
"40",
"44",
"45",
"49",
"52",
"56",
"60",
"63",
"68",
"72",
"76",
"84",
"88",
"92",
"96",
"99",
"100",
"104",
"108",
"116",
"117",
"120",
"121",
"124",
"125",
"128",
"132",
"135",
"136",
"140",
"148",
"152",
"153",
"156",
"160",
"164",
"168",
"169",
"171",
"172",
"175",
"180",
"184",
"188",
"189",
"196",
"200"
]
| [
"nonn"
]
| 9 | 1 | 1 | [
"A008683",
"A067029",
"A385097",
"A385098"
]
| null | Peter Luschny, Jun 18 2025 | 2025-06-23T03:37:59 | oeisdata/seq/A385/A385097.seq | e38975187991905e68451528ebdf4c85 |
A385098 | Numbers k such that Moebius(espf(k)) > 0, where espf(k) is the exponent of the smallest prime factor of k, with espf(1) = 1. | [
"1",
"2",
"3",
"5",
"6",
"7",
"10",
"11",
"13",
"14",
"15",
"17",
"18",
"19",
"21",
"22",
"23",
"26",
"29",
"30",
"31",
"33",
"34",
"35",
"37",
"38",
"39",
"41",
"42",
"43",
"46",
"47",
"50",
"51",
"53",
"54",
"55",
"57",
"58",
"59",
"61",
"62",
"64",
"65",
"66",
"67",
"69",
"70",
"71",
"73",
"74",
"75",
"77",
"78",
"79",
"82",
"83",
"85",
"86",
"87",
"89",
"90",
"91",
"93",
"94",
"95",
"97",
"98"
]
| [
"nonn"
]
| 9 | 1 | 2 | [
"A008683",
"A067029",
"A385097",
"A385098"
]
| null | Peter Luschny, Jun 18 2025 | 2025-06-23T03:38:03 | oeisdata/seq/A385/A385098.seq | 11c8cb0d22510e59c2297680df07cb9a |
A385099 | LCM of the denominators of the terms of the n-th row of the triangle defined by T(n,k) = (prime(n)-prime(k))/(prime(n)+prime(k)) for k=1 to n-1. | [
"1",
"5",
"28",
"90",
"6552",
"360",
"87780",
"720720",
"1392300",
"794167920",
"134303400",
"91891800",
"124025821920",
"10969219800",
"83394511200",
"588649168800",
"9565779183760800",
"8320471679520",
"42091797908160",
"382277027144790577800",
"2236702343475600",
"29537051421571016400",
"2469697918375287600"
]
| [
"nonn"
]
| 10 | 1 | 2 | [
"A000040",
"A385099"
]
| null | Michel Marcus, Jun 17 2025 | 2025-06-18T06:11:24 | oeisdata/seq/A385/A385099.seq | 776d3182acec5d148a75e6b9037e1626 |
A385100 | a(n) is the smallest integer k such that A384854(k) = n. | [
"1",
"2",
"66",
"182",
"30",
"858",
"4830",
"201630",
"1829030",
"976430",
"24877650",
"645314670",
"3392218830",
"17041181430"
]
| [
"nonn",
"more",
"changed"
]
| 15 | 1 | 2 | [
"A000005",
"A065295",
"A384781",
"A384854",
"A385100",
"A385499"
]
| null | Michel Marcus and Juri-Stepan Gerasimov, Jun 17 2025 | 2025-07-01T10:17:46 | oeisdata/seq/A385/A385100.seq | 6397cbfdf5d7ed5931997c0270ef78cd |
A385102 | Consecutive internal states of the linear congruential pseudo-random number generator for Turbo Pascal 3.0 when started at 1. | [
"1",
"907633514",
"2028239699",
"557549500",
"4112042149",
"3080093198",
"3102664695",
"1719420512",
"3669547337",
"1832837298",
"1120443547",
"3710930180",
"2876256749",
"2577566550",
"2701236543",
"1474796456",
"2177815185",
"2672918010",
"2116672995",
"3375510092",
"2556738357",
"14399646"
]
| [
"nonn",
"easy"
]
| 8 | 1 | 2 | [
"A384404",
"A384429",
"A384432",
"A385102"
]
| null | Sean A. Irvine, Jun 17 2025 | 2025-06-18T05:21:23 | oeisdata/seq/A385/A385102.seq | 8ba415b4a6ec13f6d7a9be4ac938f641 |
A385103 | Number of values of s, 0 < s < n, such that -(s^s) == s (mod n). | [
"0",
"1",
"1",
"0",
"2",
"2",
"1",
"0",
"1",
"4",
"2",
"1",
"4",
"3",
"2",
"0",
"1",
"2",
"2",
"1",
"3",
"3",
"1",
"1",
"2",
"6",
"1",
"1",
"3",
"6",
"1",
"0",
"2",
"2",
"5",
"1",
"4",
"3",
"3",
"1",
"1",
"4",
"3",
"1",
"2",
"3",
"1",
"1",
"1",
"4",
"1",
"2",
"4",
"2",
"3",
"2",
"3",
"5",
"2",
"3",
"4",
"3",
"1",
"0",
"5",
"5",
"2",
"1",
"2",
"8",
"3",
"1",
"3",
"8",
"3",
"1",
"3",
"4",
"2",
"1",
"1",
"3",
"2",
"3",
"5",
"4",
"3",
"1",
"4",
"6",
"5",
"2",
"3",
"3",
"2",
"1",
"5",
"2",
"3",
"1"
]
| [
"nonn"
]
| 30 | 1 | 5 | [
"A065295",
"A151821",
"A373901",
"A382752",
"A384781",
"A384854",
"A385103"
]
| null | Juri-Stepan Gerasimov, Jun 17 2025 | 2025-06-26T23:14:19 | oeisdata/seq/A385/A385103.seq | 66f0ab8d80171d295e780c4da72416a0 |
A385104 | Triangle read by rows: T(n,k) is the number of residue classes obtained by solving mod(x^2,n) = k for x over the integers, n >= 1, k >= 0. | [
"1",
"1",
"1",
"1",
"2",
"0",
"2",
"2",
"0",
"0",
"1",
"2",
"0",
"0",
"2",
"1",
"2",
"0",
"1",
"2",
"0",
"1",
"2",
"2",
"0",
"2",
"0",
"0",
"2",
"4",
"0",
"0",
"2",
"0",
"0",
"0",
"3",
"2",
"0",
"0",
"2",
"0",
"0",
"2",
"0",
"1",
"2",
"0",
"0",
"2",
"1",
"2",
"0",
"0",
"2",
"1",
"2",
"0",
"2",
"2",
"2",
"0",
"0",
"0",
"2",
"0",
"2",
"4",
"0",
"0",
"4",
"0",
"0",
"0",
"0",
"2",
"0",
"0",
"1",
"2",
"0",
"2",
"2",
"0",
"0",
"0",
"0",
"2",
"2",
"0",
"2",
"1",
"2",
"2",
"0",
"2",
"0",
"0",
"1",
"2"
]
| [
"nonn",
"tabl"
]
| 13 | 1 | 5 | [
"A000089",
"A000188",
"A060594",
"A096008",
"A385104"
]
| null | Jason Bard, Jun 18 2025 | 2025-06-25T10:19:43 | oeisdata/seq/A385/A385104.seq | dcee6cc6cd70b6421f947ebb9b68fa24 |
A385106 | a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) + a(n-4) with a(1) = 1, a(2) = 2, a(3) = 4, and a(4) = 7. | [
"1",
"2",
"4",
"7",
"12",
"21",
"38",
"70",
"129",
"236",
"429",
"778",
"1412",
"2567",
"4672",
"8505",
"15478",
"28158",
"51217",
"93160",
"169465",
"308290",
"560852",
"1020311",
"1856132",
"3376605",
"6142582",
"11174374",
"20328113",
"36980404",
"67273829",
"122382762",
"222635316",
"405011895",
"736786328",
"1340341377",
"2438312358",
"4435711166"
]
| [
"nonn",
"easy"
]
| 33 | 1 | 2 | [
"A079398",
"A385106",
"A385107"
]
| null | Hung Viet Chu, Jun 18 2025 | 2025-06-25T09:19:04 | oeisdata/seq/A385/A385106.seq | 0d411f7e4761319649f36831f87522f6 |
A385107 | a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) + a(n-5) with a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, and a(5) = 15. | [
"1",
"2",
"4",
"8",
"15",
"27",
"48",
"86",
"157",
"292",
"549",
"1034",
"1939",
"3613",
"6697",
"12381",
"22889",
"42384",
"78642",
"146136",
"271720",
"505137",
"938514",
"1742620",
"3234360",
"6002359",
"11140379",
"20680696",
"38398206",
"71302165",
"132404188",
"245856269",
"456491098",
"847539571",
"1573534749",
"2921413881",
"5423970485",
"10070489177"
]
| [
"nonn",
"easy"
]
| 31 | 1 | 2 | [
"A103372",
"A385106",
"A385107"
]
| null | Hung Viet Chu, Jun 18 2025 | 2025-06-25T09:14:36 | oeisdata/seq/A385/A385107.seq | 6d552c4334de9346408480f87bb3440f |
A385108 | Triangle a(n,k) read by antidiagonals: a(n,k) is the number of dots in the k-augmented centered triangle of order n, k>=0, n>=1. | [
"1",
"1",
"4",
"1",
"10",
"10",
"1",
"31",
"31",
"19",
"1",
"109",
"109",
"64",
"31",
"1",
"409",
"409",
"235",
"109",
"46",
"1",
"1585",
"1585",
"901",
"409",
"166",
"64",
"1",
"6241",
"6241",
"3529",
"1585",
"631",
"235",
"85",
"1",
"24769",
"24769",
"13969",
"6241",
"2461",
"901",
"316",
"109",
"1",
"98689",
"98689",
"55585",
"24769",
"9721",
"3529",
"1219",
"409",
"136"
]
| [
"nonn",
"easy",
"tabl"
]
| 31 | 1 | 3 | [
"A005448",
"A085473",
"A381424",
"A385108"
]
| null | Noel B. Lacpao, Jun 18 2025 | 2025-06-29T22:57:21 | oeisdata/seq/A385/A385108.seq | 56733404d041c9a98f8756e1c06bf8f9 |
A385109 | If n is 5 (mod 8) then apply n = (n-1)/4 until the result is not equivalent 5 (mod 8); otherwise a(n) = n. | [
"0",
"1",
"2",
"3",
"4",
"1",
"6",
"7",
"8",
"9",
"10",
"11",
"12",
"3",
"14",
"15",
"16",
"17",
"18",
"19",
"20",
"1",
"22",
"23",
"24",
"25",
"26",
"27",
"28",
"7",
"30",
"31",
"32",
"33",
"34",
"35",
"36",
"9",
"38",
"39",
"40",
"41",
"42",
"43",
"44",
"11",
"46",
"47",
"48",
"49",
"50",
"51",
"52",
"3",
"54",
"55",
"56",
"57",
"58",
"59",
"60",
"15",
"62",
"63",
"64",
"65",
"66",
"67",
"68",
"17",
"70",
"71",
"72",
"73",
"74",
"75",
"76",
"19"
]
| [
"nonn"
]
| 21 | 0 | 3 | [
"A347840",
"A385109"
]
| null | Ralf Stephan, Jun 18 2025 | 2025-06-25T10:12:09 | oeisdata/seq/A385/A385109.seq | 80b6dcb5d9afec3cee7c9c911dfd8b73 |
A385110 | Terms of A198587 congruent {1, 3, 7} (mod 8). | [
"17",
"35",
"75",
"151",
"1137",
"2275",
"2417",
"4835",
"4849",
"9699",
"19417",
"38833",
"38835",
"72817",
"77667",
"145635",
"154737",
"309475",
"310385",
"620771",
"621377",
"1242737",
"1242755",
"2485361",
"2485475",
"4660337",
"4970723",
"4971025",
"9320675",
"9903217",
"9942051",
"19806435",
"19864689",
"19884107",
"39729379"
]
| [
"nonn"
]
| 20 | 1 | 1 | [
"A198587",
"A385109",
"A385110"
]
| null | Ralf Stephan, Jun 18 2025 | 2025-06-26T07:33:00 | oeisdata/seq/A385/A385110.seq | a93491a308edfda5a819229e2e2aaf74 |
A385116 | Take the natural numbers, erase all occurrences of the digit "0," and shift all remaining digits leftward without changing the position of commas. | [
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"11",
"11",
"21",
"31",
"41",
"51",
"61",
"71",
"81",
"92",
"21",
"22",
"23",
"24",
"25",
"26",
"27",
"28",
"29",
"33",
"13",
"23",
"33",
"43",
"53",
"63",
"73",
"83",
"94",
"41",
"42",
"43",
"44",
"45",
"46",
"47",
"48",
"49",
"55",
"15",
"25",
"35",
"45",
"55",
"65",
"75",
"85",
"96",
"61",
"62",
"63",
"64",
"65",
"66",
"67",
"68",
"69",
"77"
]
| [
"nonn",
"base",
"look",
"new"
]
| 14 | 1 | 2 | [
"A004719",
"A032762",
"A055642",
"A385116"
]
| null | Dominic McCarty, Jun 18 2025 | 2025-06-30T19:52:36 | oeisdata/seq/A385/A385116.seq | 412b597e8e26da3d492c1db952ea28a0 |
A385117 | G.f. A(x) satisfies A(x) = 1 + 9*x*A(x)^(2/3). | [
"1",
"9",
"54",
"243",
"810",
"1701",
"0",
"-16038",
"-56862",
"0",
"817938",
"3241134",
"0",
"-53872371",
"-224386200",
"0",
"4017339666",
"17216031195",
"0",
"-322568743770",
"-1408090130370",
"0",
"27206369474544",
"120309415164990",
"0",
"-2376712950727284",
"-10611290417552118",
"0",
"213172869272924088"
]
| [
"sign"
]
| 14 | 0 | 2 | [
"A135864",
"A214668",
"A376636",
"A385117",
"A385119"
]
| null | Seiichi Manyama, Jun 18 2025 | 2025-06-20T08:10:52 | oeisdata/seq/A385/A385117.seq | 03c58f65da2d301dc2bbc00b9471a237 |
A385118 | Number of solutions to x^2 + y^2 + z^2 == 3xyz (mod n). | [
"1",
"5",
"9",
"24",
"41",
"45",
"29",
"96",
"99",
"205",
"89",
"216",
"209",
"145",
"369",
"320",
"341",
"495",
"305",
"984",
"261",
"445",
"461",
"864",
"1125",
"1045",
"891",
"696",
"929",
"1845",
"869",
"1280",
"801",
"1705",
"1189",
"2376",
"1481",
"1525",
"1881",
"3936",
"1805",
"1305",
"1721",
"2136",
"4059",
"2305",
"2069",
"2880",
"1715",
"5625"
]
| [
"nonn",
"mult"
]
| 28 | 1 | 2 | null | null | David Radcliffe, Jun 18 2025 | 2025-06-24T23:24:51 | oeisdata/seq/A385/A385118.seq | d9798a0de189c60c58ef2dbdabb047de |
A385119 | G.f. A(x) satisfies A(x) = 1 + 9*x*A(x)^(5/3). | [
"1",
"9",
"135",
"2430",
"48195",
"1015740",
"22320522",
"505692720",
"11727186075",
"277005649635",
"6641224015140",
"161193712078854",
"3953072078945730",
"97801207953712200",
"2438092322304120720",
"61182608813245896840",
"1544295394480280288715",
"39180450803555268621540"
]
| [
"nonn"
]
| 13 | 0 | 2 | [
"A135864",
"A214668",
"A245114",
"A385117",
"A385119"
]
| null | Seiichi Manyama, Jun 18 2025 | 2025-06-20T08:10:47 | oeisdata/seq/A385/A385119.seq | 61d46e6351038e9007ab08e0988b7912 |
A385120 | Number of fixed tree-like polyedges on the square lattice with n edges, rooted at a vertex. | [
"1",
"4",
"18",
"88",
"435",
"2184",
"11018",
"55888",
"284229",
"1448800",
"7396290",
"37804344",
"193405121",
"990117104",
"5072380140"
]
| [
"nonn",
"more",
"hard",
"new"
]
| 56 | 0 | 2 | [
"A056841",
"A066158",
"A096267",
"A308409",
"A385120"
]
| null | Ben Samberg, Jun 18 2025 | 2025-07-04T17:19:47 | oeisdata/seq/A385/A385120.seq | da23fb548da6abe35ca733d80170c333 |
A385121 | a(n+1) = 12*a(n) - a(n-1), a(0) = a(1) = 2, a(n) = a(1-n). | [
"2",
"2",
"22",
"262",
"3122",
"37202",
"443302",
"5282422",
"62945762",
"750066722",
"8937854902",
"106504192102",
"1269112450322",
"15122845211762",
"180205030090822",
"2147337515878102",
"25587845160446402",
"304906804409478722",
"3633293807753298262",
"43294618888630100422"
]
| [
"nonn",
"easy"
]
| 10 | 0 | 1 | [
"A061292",
"A077417",
"A385121"
]
| null | Michael Somos, Jun 18 2025 | 2025-06-18T23:18:26 | oeisdata/seq/A385/A385121.seq | 74de0af9981e4c5f6cb94686e1b5f2cf |
A385122 | a(n) = d(phi(n)) - phi(d(n)) where d(n) = A000005(n) is the number of divisors and phi(n) = A000010(n) is the Euler totient function. | [
"0",
"0",
"1",
"0",
"2",
"0",
"3",
"1",
"2",
"1",
"3",
"1",
"5",
"2",
"2",
"0",
"4",
"2",
"5",
"2",
"4",
"2",
"3",
"0",
"4",
"4",
"4",
"4",
"5",
"0",
"7",
"3",
"4",
"3",
"6",
"0",
"8",
"4",
"6",
"1",
"7",
"2",
"7",
"4",
"6",
"2",
"3",
"1",
"6",
"4",
"4",
"6",
"5",
"2",
"6",
"4",
"7",
"4",
"3",
"1",
"11",
"6",
"7",
"0",
"8",
"2",
"7",
"4",
"4",
"4",
"7",
"4",
"11",
"7",
"6",
"7",
"10",
"4",
"7",
"2",
"4",
"6",
"3",
"4",
"5",
"6"
]
| [
"sign"
]
| 12 | 1 | 5 | [
"A000005",
"A000010",
"A062821",
"A078148",
"A078150",
"A163109",
"A385122"
]
| null | Sean A. Irvine, Jun 18 2025 | 2025-06-19T11:56:45 | oeisdata/seq/A385/A385122.seq | 1075fdc94eb23ee3f0ac3dac5832c10c |
A385123 | Triangle Read by rows: T(n,k) is the number of rooted ordered trees with n non-root nodes with non-root node labels in {1,..,k} such that all labels appear at least once in all groups of sibling nodes. | [
"1",
"0",
"1",
"0",
"2",
"2",
"0",
"5",
"6",
"6",
"0",
"14",
"22",
"36",
"24",
"0",
"42",
"90",
"150",
"240",
"120",
"0",
"132",
"378",
"648",
"1560",
"1800",
"720",
"0",
"429",
"1638",
"3318",
"8400",
"16800",
"15120",
"5040",
"0",
"1430",
"7278",
"18180",
"43128",
"126000",
"191520",
"141120",
"40320",
"0",
"4862",
"32946",
"98502",
"238320",
"834120",
"1905120",
"2328480",
"1451520",
"362880"
]
| [
"nonn",
"tabl"
]
| 7 | 0 | 5 | [
"A000108",
"A000142",
"A107429",
"A384685",
"A384747",
"A385123",
"A385125"
]
| null | John Tyler Rascoe, Jun 18 2025 | 2025-06-22T03:11:35 | oeisdata/seq/A385/A385123.seq | d22ecec681cc5f10401c7cbe0d563453 |
A385124 | Numbers k such that there are exactly 7 primes between 30*k and 30*k+30. | [
"1",
"2",
"49",
"62",
"79",
"89",
"188",
"6627",
"9491",
"18674",
"22621",
"31982",
"34083",
"38226",
"38520",
"41545",
"48713",
"53887",
"89459",
"103205",
"114731",
"123306",
"139742",
"140609",
"149125",
"168237",
"175125",
"210554",
"223949",
"229269",
"237794",
"240007",
"267356",
"288467",
"321451",
"364921",
"368248",
"373370",
"391701"
]
| [
"nonn"
]
| 40 | 1 | 2 | [
"A000720",
"A098592",
"A100418",
"A100419",
"A100420",
"A100421",
"A100422",
"A100423",
"A385124"
]
| null | Jianglin Luo, Jun 18 2025 | 2025-06-24T15:33:50 | oeisdata/seq/A385/A385124.seq | ce9d49824b1f6e3d38be32ae89ba210d |
A385125 | Number of rooted ordered trees with n non-root nodes all labeled with numbers greater than 0 such that the labels of all groups of sibling nodes cover the same initial interval. | [
"1",
"1",
"4",
"17",
"96",
"642",
"5238",
"50745",
"568976",
"7256750",
"103622742",
"1634819518",
"28208152974",
"528060735100",
"10654676857578"
]
| [
"nonn",
"more"
]
| 11 | 0 | 3 | [
"A000108",
"A107429",
"A384685",
"A384747",
"A385123",
"A385125"
]
| null | John Tyler Rascoe, Jun 18 2025 | 2025-06-22T03:11:30 | oeisdata/seq/A385/A385125.seq | 0ad024f011cc6fe68dd75aadca1872fd |
A385126 | Hereditarily evil prime powers: numbers of the form p^k where p is prime and p^j is evil for 1 <= j <= k. | [
"3",
"5",
"9",
"17",
"23",
"27",
"29",
"43",
"53",
"71",
"83",
"89",
"101",
"113",
"139",
"149",
"163",
"197",
"257",
"263",
"269",
"277",
"281",
"293",
"311",
"317",
"337",
"347",
"349",
"353",
"359",
"373",
"383",
"389",
"401",
"449",
"461",
"467",
"479",
"503",
"509",
"523",
"547",
"571",
"593",
"599",
"619",
"643",
"673",
"683",
"691",
"739",
"751",
"773",
"797",
"811",
"821",
"839",
"853",
"857",
"863",
"881"
]
| [
"nonn",
"base"
]
| 9 | 1 | 1 | [
"A001969",
"A027699",
"A385126"
]
| null | Robert Israel, Jun 18 2025 | 2025-06-25T00:44:59 | oeisdata/seq/A385/A385126.seq | e827072bbbbfab009f6179920cc1b2f9 |
A385127 | Consecutive internal states of the linear congruential pseudo-random number generator for gcc 2.6.3 when started at 1. | [
"1",
"69074",
"475904815",
"884950952",
"997714317",
"2674863854",
"2153294491",
"4064640292",
"103025113",
"3375687626",
"3068976839",
"1640333408",
"3540823269",
"1389565030",
"527860659",
"3125448028",
"2218581681",
"3669905602",
"625116511",
"3161038872",
"3721292605",
"2231040222",
"880447435"
]
| [
"nonn",
"easy"
]
| 11 | 1 | 2 | [
"A084276",
"A096552",
"A385127"
]
| null | Sean A. Irvine, Jun 18 2025 | 2025-06-23T19:38:09 | oeisdata/seq/A385/A385127.seq | dec7800dadd769c1e147cf20c34ba608 |
A385128 | The number of divisors of n whose maximum exponent in their prime factorization is even. | [
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"2",
"1",
"1",
"3",
"1",
"1",
"1",
"3",
"1",
"3",
"1",
"3",
"1",
"1",
"1",
"3",
"2",
"1",
"2",
"3",
"1",
"1",
"1",
"3",
"1",
"1",
"1",
"6",
"1",
"1",
"1",
"3",
"1",
"1",
"1",
"3",
"3",
"1",
"1",
"5",
"2",
"3",
"1",
"3",
"1",
"3",
"1",
"3",
"1",
"1",
"1",
"5",
"1",
"1",
"3",
"4",
"1",
"1",
"1",
"3",
"1",
"1",
"1",
"6",
"1",
"1",
"3",
"3",
"1",
"1",
"1",
"5",
"3",
"1",
"1",
"5",
"1",
"1",
"1"
]
| [
"nonn",
"easy"
]
| 9 | 1 | 4 | [
"A000005",
"A001221",
"A001620",
"A051903",
"A368714",
"A383156",
"A385128",
"A385129",
"A385130"
]
| null | Amiram Eldar, Jun 24 2025 | 2025-06-25T01:26:26 | oeisdata/seq/A385/A385128.seq | 01e98a4a955c771931d438116c5bf827 |
A385129 | The number of divisors of n whose maximum exponent in their prime factorization is odd. | [
"0",
"1",
"1",
"1",
"1",
"3",
"1",
"2",
"1",
"3",
"1",
"3",
"1",
"3",
"3",
"2",
"1",
"3",
"1",
"3",
"3",
"3",
"1",
"5",
"1",
"3",
"2",
"3",
"1",
"7",
"1",
"3",
"3",
"3",
"3",
"3",
"1",
"3",
"3",
"5",
"1",
"7",
"1",
"3",
"3",
"3",
"1",
"5",
"1",
"3",
"3",
"3",
"1",
"5",
"3",
"5",
"3",
"3",
"1",
"7",
"1",
"3",
"3",
"3",
"3",
"7",
"1",
"3",
"3",
"7",
"1",
"6",
"1",
"3",
"3",
"3",
"3",
"7",
"1",
"5",
"2",
"3",
"1",
"7",
"3",
"3",
"3"
]
| [
"nonn",
"easy"
]
| 10 | 1 | 6 | [
"A000005",
"A001221",
"A001620",
"A051903",
"A368714",
"A383156",
"A385128",
"A385129",
"A385131"
]
| null | Amiram Eldar, Jun 24 2025 | 2025-06-25T01:26:33 | oeisdata/seq/A385/A385129.seq | c8b9f5aef827c1537bbe6c5e9d99ef4a |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.