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666,262,453B
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listlengths 1
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timestamp[us]date 1999-12-11 03:00:00
2025-07-14 02:38:35
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|---|---|---|---|---|---|---|---|---|---|---|---|---|
A361801 | Number of nonempty subsets of {1..n} with median n/2. | [
"0",
"0",
"1",
"1",
"4",
"4",
"14",
"14",
"49",
"49",
"175",
"175",
"637",
"637",
"2353",
"2353",
"8788",
"8788",
"33098",
"33098",
"125476",
"125476",
"478192",
"478192",
"1830270",
"1830270",
"7030570",
"7030570",
"27088870",
"27088870",
"104647630",
"104647630",
"405187825",
"405187825",
"1571990935",
"1571990935"
]
| [
"nonn",
"easy"
]
| 11 | 0 | 5 | [
"A000975",
"A006134",
"A007318",
"A013580",
"A024718",
"A057552",
"A079309",
"A100066",
"A231147",
"A325347",
"A327475",
"A327481",
"A359893",
"A360005",
"A361654",
"A361801",
"A361849",
"A361864",
"A361866",
"A361911",
"A362046"
]
| null | Gus Wiseman, Apr 07 2023 | 2023-04-11T08:39:39 | oeisdata/seq/A361/A361801.seq | c45d632e208e28da71165aa2ceb00388 |
A361802 | Irregular triangle read by rows where T(n,k) is the number of k-subsets of {-n+1,...,n} with sum 0, for k = 1,...,2n-1. | [
"1",
"1",
"1",
"1",
"1",
"2",
"3",
"2",
"1",
"1",
"3",
"6",
"7",
"5",
"2",
"1",
"1",
"4",
"10",
"16",
"18",
"14",
"8",
"3",
"1",
"1",
"5",
"15",
"31",
"46",
"51",
"43",
"27",
"12",
"3",
"1",
"1",
"6",
"21",
"53",
"98",
"139",
"155",
"134",
"88",
"43",
"16",
"4",
"1",
"1",
"7",
"28",
"83",
"184",
"319",
"441",
"486",
"424",
"293",
"161",
"68",
"21",
"4",
"1"
]
| [
"nonn",
"tabf"
]
| 11 | 1 | 6 | [
"A000975",
"A005408",
"A006134",
"A007318",
"A013580",
"A024718",
"A067538",
"A079309",
"A212352",
"A231147",
"A326512",
"A327475",
"A327481",
"A349156",
"A361654",
"A361802",
"A362046"
]
| null | Gus Wiseman, Apr 10 2023 | 2023-04-11T22:40:54 | oeisdata/seq/A361/A361802.seq | 2fff00018b875046d442f8bc677ea635 |
A361803 | Least k > 1 such that k^n - n > 1 is semiprime, or 0 if no such k exists. | [
"5",
"4",
"5",
"3",
"6",
"2",
"2",
"5",
"8",
"3",
"4",
"11",
"15",
"5",
"2",
"0",
"4",
"2",
"14",
"7",
"48",
"42",
"6",
"35",
"2",
"7",
"602",
"3",
"16",
"13",
"2",
"3",
"2",
"6",
"37",
"3185",
"6",
"9",
"2",
"33",
"28",
"2",
"20",
"9",
"2",
"135",
"6",
"5",
"2",
"49",
"100",
"5",
"166",
"5",
"4",
"9",
"98",
"15",
"4",
"27",
"24",
"2",
"4",
"17343",
"34",
"19",
"24",
"15",
"56",
"6",
"90",
"5",
"2",
"85"
]
| [
"nonn"
]
| 22 | 1 | 1 | [
"A001358",
"A016744",
"A130827",
"A361803"
]
| null | Kevin P. Thompson, Jun 12 2023 | 2023-06-25T18:20:51 | oeisdata/seq/A361/A361803.seq | 62e6cd75481a1cad6f6a7dd9bb854fa7 |
A361804 | Number of partitions of [n] with an equal number of even and odd block sizes. | [
"1",
"0",
"0",
"3",
"0",
"15",
"45",
"63",
"1260",
"1515",
"25515",
"104973",
"510345",
"5679765",
"17252235",
"263214318",
"1207222380",
"11863296915",
"101718989235",
"630468648873",
"8281982665215",
"48583038314415",
"656006633919945",
"5122900223419938",
"54304561161840825",
"605082149235374265"
]
| [
"nonn"
]
| 19 | 0 | 4 | [
"A000110",
"A003724",
"A004767",
"A004773",
"A005046",
"A275679",
"A361804"
]
| null | Alois P. Heinz, Jun 12 2023 | 2023-06-12T18:53:06 | oeisdata/seq/A361/A361804.seq | 705931a7b2088c0b61a2610e28a7eebf |
A361805 | Expansion of Product_{j=1..n, k=1..n} (1 + x^(k^j)) / (1 - x^(k^j)). | [
"1",
"2",
"10",
"52",
"278",
"1508",
"8262",
"45604",
"253186",
"1412196",
"7906866",
"44411420",
"250124308",
"1411963200",
"7986664250",
"45255888828",
"256840959728",
"1459686175768",
"8306130772008",
"47318321533008",
"269839722667800",
"1540242835509060",
"8799238591245006",
"50308756959106988"
]
| [
"nonn"
]
| 31 | 0 | 2 | [
"A000009",
"A000041",
"A001156",
"A003108",
"A015128",
"A033461",
"A103265",
"A279329",
"A280263",
"A361805",
"A369577",
"A369578"
]
| null | Vaclav Kotesovec, Jan 28 2024 | 2024-01-29T09:01:34 | oeisdata/seq/A361/A361805.seq | ffd3482492b2e167bbcd765bb4f5093f |
A361806 | Sum of distinct prime factors of all composite numbers between n-th and (n+1)st primes. | [
"0",
"2",
"5",
"10",
"5",
"17",
"5",
"28",
"30",
"10",
"45",
"42",
"12",
"44",
"47",
"76",
"10",
"72",
"57",
"5",
"97",
"51",
"117",
"150",
"28",
"22",
"83",
"5",
"65",
"321",
"66",
"131",
"28",
"298",
"10",
"108",
"172",
"145",
"109",
"205",
"10",
"276",
"5",
"127",
"16",
"441",
"582",
"130",
"24",
"80",
"232",
"10",
"276",
"195",
"270",
"256",
"10",
"218",
"187",
"52",
"388",
"701",
"162"
]
| [
"nonn",
"easy"
]
| 34 | 1 | 2 | [
"A008472",
"A052297",
"A061214",
"A077218",
"A361806"
]
| null | Karl-Heinz Hofmann, Mar 26 2023 | 2023-04-16T15:55:20 | oeisdata/seq/A361/A361806.seq | 559bc1c91ced4536e62f5cc3588a379b |
A361807 | Numbers k with record values of the ratio A000005(k)/A049419(k) between the number of divisors of k and the number of exponential divisors of k. | [
"1",
"2",
"6",
"30",
"210",
"2310",
"30030",
"480480",
"510510",
"8168160",
"9699690",
"155195040",
"223092870",
"3569485920",
"6469693230",
"103515091680",
"200560490130",
"3208967842080",
"7420738134810",
"118731810156960",
"304250263527210",
"4868004216435360",
"13082761331670030",
"209324181306720480"
]
| [
"nonn"
]
| 17 | 1 | 2 | [
"A000005",
"A002110",
"A025487",
"A049419",
"A307870",
"A335832",
"A361807"
]
| null | Amiram Eldar, Mar 25 2023 | 2024-07-18T09:18:47 | oeisdata/seq/A361/A361807.seq | 416e8cd1d318290b71b34a8d064bb86b |
A361808 | Inverse permutation to A181820. | [
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"9",
"11",
"8",
"10",
"13",
"14",
"12",
"15",
"22",
"18",
"20",
"25",
"17",
"19",
"16",
"32",
"29",
"23",
"21",
"38",
"24",
"40",
"27",
"51",
"54",
"26",
"28",
"30",
"43",
"63",
"35",
"33",
"36",
"80",
"34",
"98",
"31",
"49",
"46",
"119",
"66",
"44",
"41",
"42",
"39",
"145",
"72",
"37",
"47",
"53",
"58",
"173",
"55",
"207",
"71",
"61",
"114",
"48",
"45"
]
| [
"nonn"
]
| 8 | 1 | 2 | [
"A025487",
"A181820",
"A361808",
"A361809"
]
| null | Pontus von Brömssen, Mar 25 2023 | 2023-03-25T13:18:36 | oeisdata/seq/A361/A361808.seq | d9daf7fa29e07e5a6bbc424acab035ed |
A361809 | Fixed points of A181820 and A361808. | [
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"15",
"46",
"58",
"817",
"5494",
"8502"
]
| [
"nonn",
"more"
]
| 8 | 1 | 2 | [
"A025487",
"A025488",
"A181820",
"A361808",
"A361809"
]
| null | Pontus von Brömssen, Mar 25 2023 | 2023-03-25T12:07:45 | oeisdata/seq/A361/A361809.seq | db134705d5b0c206b748c9de2d83d54d |
A361810 | a(n) is the sum of divisors of n that are both infinitary and exponential. | [
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"10",
"9",
"10",
"11",
"12",
"13",
"14",
"15",
"16",
"17",
"18",
"19",
"20",
"21",
"22",
"23",
"30",
"25",
"26",
"30",
"28",
"29",
"30",
"31",
"34",
"33",
"34",
"35",
"36",
"37",
"38",
"39",
"50",
"41",
"42",
"43",
"44",
"45",
"46",
"47",
"48",
"49",
"50",
"51",
"52",
"53",
"60",
"55",
"70",
"57",
"58",
"59",
"60",
"61",
"62",
"63",
"68",
"65",
"66",
"67",
"68"
]
| [
"nonn",
"easy",
"mult"
]
| 9 | 1 | 2 | [
"A002110",
"A049417",
"A051377",
"A082020",
"A115964",
"A138302",
"A359411",
"A361810"
]
| null | Amiram Eldar, Mar 25 2023 | 2023-03-27T03:38:17 | oeisdata/seq/A361/A361810.seq | bb3153656880527c44e7811e7a05bf8e |
A361811 | Smallest members of infinitary sociable quadruples. | [
"1026",
"10098",
"10260",
"41800",
"45696",
"100980",
"241824",
"685440",
"4938136",
"13959680",
"14958944",
"25581600",
"28158165",
"32440716",
"36072320",
"55204500",
"74062944",
"81128632",
"149589440",
"178327008",
"192793770",
"209524210",
"283604220",
"319848642",
"498215416",
"581112000",
"740629440",
"1236402232"
]
| [
"nonn"
]
| 9 | 1 | 1 | [
"A004607",
"A007357",
"A049417",
"A090615",
"A126168",
"A126169",
"A126170",
"A319902",
"A319915",
"A361811"
]
| null | Amiram Eldar, Mar 25 2023 | 2023-03-25T08:18:33 | oeisdata/seq/A361/A361811.seq | 75b761f03ba144a6b677b9dd8fbb599a |
A361812 | Expansion of 1/sqrt(1 - 4*x*(1+x)^3). | [
"1",
"2",
"12",
"62",
"342",
"1932",
"11094",
"64480",
"378150",
"2233304",
"13263772",
"79136844",
"473969586",
"2847911596",
"17159547804",
"103640073972",
"627280131594",
"3803643145596",
"23102172930156",
"140522319418164",
"855880464524472",
"5219168576004184",
"31861229045809436"
]
| [
"nonn"
]
| 20 | 0 | 2 | [
"A006139",
"A137635",
"A360133",
"A361790",
"A361791",
"A361792",
"A361812",
"A361813",
"A361814",
"A361830"
]
| null | Seiichi Manyama, Mar 25 2023 | 2024-07-12T16:40:35 | oeisdata/seq/A361/A361812.seq | ae8b682807008c2e72a1ffb2516feef3 |
A361813 | Expansion of 1/sqrt(1 - 4*x*(1+x)^4). | [
"1",
"2",
"14",
"80",
"486",
"3030",
"19184",
"122924",
"794678",
"5173160",
"33863666",
"222683588",
"1469908848",
"9733916596",
"64636957300",
"430240178484",
"2869778018070",
"19177245746844",
"128361805431752",
"860443079597872",
"5775392952659170",
"38811408514848032",
"261101034656317244"
]
| [
"nonn"
]
| 7 | 0 | 2 | [
"A006139",
"A137635",
"A360133",
"A361790",
"A361791",
"A361792",
"A361812",
"A361813",
"A361814"
]
| null | Seiichi Manyama, Mar 25 2023 | 2023-03-25T08:19:19 | oeisdata/seq/A361/A361813.seq | a84cced128c5cd973db69f2069a95966 |
A361814 | Expansion of 1/sqrt(1 - 4*x*(1+x)^5). | [
"1",
"2",
"16",
"100",
"660",
"4482",
"30886",
"215364",
"1515000",
"10730800",
"76426846",
"546792056",
"3926775646",
"28290272420",
"204375145480",
"1479963148220",
"10739326203132",
"78072933869364",
"568503202324540",
"4145718464390120",
"30271771382355430",
"221305746414518180"
]
| [
"nonn"
]
| 16 | 0 | 2 | [
"A006139",
"A137635",
"A360133",
"A361790",
"A361791",
"A361792",
"A361812",
"A361813",
"A361814"
]
| null | Seiichi Manyama, Mar 25 2023 | 2023-03-25T12:07:41 | oeisdata/seq/A361/A361814.seq | 5e05c0d5876b9c0e00b07d143e5eecd0 |
A361815 | Expansion of 1/sqrt(1 - 4*x*(1-x)^2). | [
"1",
"2",
"2",
"-2",
"-14",
"-32",
"-30",
"64",
"346",
"752",
"584",
"-2044",
"-9486",
"-19324",
"-11368",
"66180",
"271658",
"514916",
"192584",
"-2151612",
"-7949736",
"-13933280",
"-1779028",
"69933368",
"235295106",
"378579404",
"-61171228",
"-2267724644",
"-7003832456",
"-10248117752",
"5236354188",
"73288104568"
]
| [
"sign"
]
| 15 | 0 | 2 | [
"A085362",
"A110170",
"A137635",
"A162478",
"A359489",
"A359758",
"A360132",
"A361815",
"A361816",
"A361817"
]
| null | Seiichi Manyama, Mar 25 2023 | 2023-03-25T13:20:11 | oeisdata/seq/A361/A361815.seq | f7644bf420b190e5b999c939667cc593 |
A361816 | Expansion of 1/sqrt(1 - 4*x*(1-x)^3). | [
"1",
"2",
"0",
"-10",
"-22",
"12",
"174",
"344",
"-354",
"-3304",
"-5780",
"9180",
"65258",
"99132",
"-226620",
"-1313580",
"-1690990",
"5441340",
"26681700",
"28070100",
"-128211552",
"-543818824",
"-440381780",
"2978145240",
"11080939914",
"6162798092",
"-68377892976",
"-225107280388",
"-64286124152"
]
| [
"sign"
]
| 12 | 0 | 2 | [
"A085362",
"A110170",
"A162478",
"A359489",
"A359758",
"A360132",
"A361812",
"A361815",
"A361816",
"A361817",
"A361834"
]
| null | Seiichi Manyama, Mar 25 2023 | 2023-03-28T10:48:26 | oeisdata/seq/A361/A361816.seq | e3f8ceb620922047467d32799519de59 |
A361817 | Expansion of 1/sqrt(1 - 4*x*(1-x)^4). | [
"1",
"2",
"-2",
"-16",
"-10",
"118",
"304",
"-500",
"-3754",
"-2488",
"30866",
"83716",
"-135568",
"-1080972",
"-792876",
"9090484",
"25788118",
"-39325156",
"-335074520",
"-271779024",
"2820643842",
"8348113120",
"-11788972644",
"-107836934448",
"-96107852032",
"900943403012",
"2778574561276",
"-3596374190416"
]
| [
"sign"
]
| 10 | 0 | 2 | [
"A085362",
"A110170",
"A162478",
"A359489",
"A359758",
"A360132",
"A361813",
"A361815",
"A361816",
"A361817"
]
| null | Seiichi Manyama, Mar 25 2023 | 2023-03-25T08:19:12 | oeisdata/seq/A361/A361817.seq | af1cc06e9f6cf727b55c23b7e17ba3be |
A361818 | For any number k >= 0, let T_k be the triangle whose base corresponds to the ternary expansion of k (without leading zeros) and other values, say t above u and v, satisfy t = (-u-v) mod 3; this sequence lists the numbers k such that T_k has 3-fold rotational symmetry. | [
"0",
"1",
"2",
"4",
"8",
"13",
"26",
"34",
"40",
"46",
"59",
"65",
"80",
"112",
"121",
"130",
"224",
"233",
"242",
"304",
"364",
"424",
"518",
"578",
"728",
"772",
"862",
"925",
"1003",
"1093",
"1183",
"1261",
"1324",
"1414",
"1535",
"1598",
"1688",
"1766",
"1856",
"1919",
"2006",
"2096",
"2186",
"2257",
"2509",
"2734",
"3028",
"3280",
"3532",
"3826",
"4051"
]
| [
"nonn",
"base"
]
| 15 | 1 | 3 | [
"A004488",
"A048328",
"A060587",
"A297250",
"A334556",
"A361818"
]
| null | Rémy Sigrist, Mar 25 2023 | 2023-03-28T14:01:21 | oeisdata/seq/A361/A361818.seq | e3dff7622c556d202bfaddc843c1ed1a |
A361819 | Irregular triangle read by rows where T(n,k) is the distance which number A361660(n,k) moves in the process described in A361642. | [
"2",
"3",
"3",
"4",
"2",
"2",
"4",
"5",
"3",
"4",
"3",
"5",
"6",
"4",
"2",
"3",
"3",
"2",
"4",
"6",
"7",
"5",
"3",
"5",
"2",
"5",
"3",
"5",
"7",
"8",
"6",
"4",
"2",
"4",
"4",
"4",
"4",
"2",
"4",
"6",
"8",
"9",
"7",
"5",
"3",
"6",
"3",
"3",
"3",
"3",
"6",
"3",
"5",
"7",
"9",
"10",
"8",
"6",
"4",
"2",
"5",
"5",
"2",
"6",
"2",
"5",
"5",
"2",
"4",
"6",
"8",
"10",
"11",
"9",
"7",
"5",
"3",
"7",
"4",
"4",
"5",
"5",
"4",
"4",
"7",
"3",
"5",
"7",
"9",
"11"
]
| [
"nonn",
"tabf"
]
| 24 | 1 | 1 | [
"A002378",
"A002541",
"A361642",
"A361660",
"A361819"
]
| null | Tamas Sandor Nagy, Mar 25 2023 | 2023-04-13T08:30:37 | oeisdata/seq/A361/A361819.seq | 3e90bac7ab0e2388661548ef941393a6 |
A361820 | Palindromes in A329150. | [
"0",
"2",
"3",
"5",
"7",
"11",
"22",
"33",
"55",
"77",
"202",
"222",
"232",
"252",
"272",
"303",
"313",
"323",
"333",
"353",
"373",
"505",
"525",
"535",
"555",
"575",
"707",
"717",
"727",
"737",
"757",
"777",
"1111",
"2002",
"2112",
"2222",
"2332",
"2552",
"2772",
"3003",
"3113",
"3223",
"3333",
"3553",
"3773",
"5005",
"5115",
"5225",
"5335",
"5555",
"5775",
"7007",
"7117"
]
| [
"nonn",
"base"
]
| 26 | 1 | 2 | [
"A002113",
"A002276",
"A002277",
"A002279",
"A002281",
"A099814",
"A118597",
"A329147",
"A329150",
"A361750",
"A361820",
"A361821"
]
| null | Bernard Schott, Mar 25 2023 | 2023-04-06T06:36:27 | oeisdata/seq/A361/A361820.seq | 7fdcf0f7e1076ff8d84dcedcc943acf3 |
A361821 | Perfect powers in A329150. | [
"25",
"27",
"32",
"225",
"2025",
"2197",
"2500",
"3025",
"3375",
"7225",
"11025",
"13225",
"21952",
"22500",
"27000",
"27225",
"55225",
"70225",
"112225",
"133225",
"172225",
"195112",
"202500",
"207025",
"235225",
"250000",
"255025",
"302500",
"319225",
"511225",
"555025",
"570025",
"722500",
"1102500",
"1113025",
"1177225",
"1311025"
]
| [
"nonn",
"base"
]
| 32 | 1 | 1 | [
"A001597",
"A030485",
"A053919",
"A058426",
"A191486",
"A329147",
"A329150",
"A361821"
]
| null | Bernard Schott, Mar 25 2023 | 2023-04-03T15:30:50 | oeisdata/seq/A361/A361821.seq | d5566ff274db51d54ff95cc35f3fc1b5 |
A361822 | Primes that have digits consisting only of line segments {1, 4, 7} or curved digits {0, 3, 6, 8, 9}. | [
"3",
"7",
"11",
"13",
"17",
"19",
"31",
"37",
"41",
"43",
"47",
"61",
"67",
"71",
"73",
"79",
"83",
"89",
"97",
"101",
"103",
"107",
"109",
"113",
"131",
"137",
"139",
"149",
"163",
"167",
"173",
"179",
"181",
"191",
"193",
"197",
"199",
"307",
"311",
"313",
"317",
"331",
"337",
"347",
"349",
"367",
"373",
"379",
"383",
"389",
"397",
"401",
"409",
"419",
"431",
"433",
"439",
"443",
"449",
"461",
"463"
]
| [
"nonn",
"base"
]
| 25 | 1 | 1 | [
"A000040",
"A034470",
"A079651",
"A079652",
"A247052",
"A361780",
"A361822"
]
| null | Bernard Schott, Mar 26 2023 | 2023-04-09T07:53:52 | oeisdata/seq/A361/A361822.seq | ce74934d53ec796ad944632181e2f2d5 |
A361823 | a(1) = 3; thereafter, a(n+1) is the smallest prime p such that p - prevprime(p) >= a(n) - prevprime(a(n)). | [
"3",
"5",
"7",
"11",
"17",
"23",
"29",
"37",
"53",
"59",
"67",
"79",
"89",
"97",
"127",
"307",
"331",
"541",
"907",
"1151",
"1361",
"8501",
"9587",
"12889",
"14143",
"15727",
"19661",
"25523",
"31469",
"156007",
"338119",
"360749",
"370373",
"492227",
"1349651",
"1357333",
"1562051",
"2010881",
"4652507",
"11114087",
"15204131",
"17051887"
]
| [
"nonn"
]
| 17 | 1 | 1 | [
"A001223",
"A070866",
"A134266",
"A348178",
"A361823"
]
| null | Ya-Ping Lu, Mar 25 2023 | 2023-04-23T22:09:11 | oeisdata/seq/A361/A361823.seq | b4a215f078928aa7ecef0c9e216d66dc |
A361824 | Sum of odd middle divisors of n, where "middle divisor" means a divisor in the half-open interval [sqrt(n/2), sqrt(n*2)). | [
"1",
"1",
"0",
"0",
"0",
"3",
"0",
"0",
"3",
"0",
"0",
"3",
"0",
"0",
"8",
"0",
"0",
"3",
"0",
"5",
"0",
"0",
"0",
"0",
"5",
"0",
"0",
"7",
"0",
"5",
"0",
"0",
"0",
"0",
"12",
"0",
"0",
"0",
"0",
"5",
"0",
"7",
"0",
"0",
"14",
"0",
"0",
"0",
"7",
"5",
"0",
"0",
"0",
"9",
"0",
"7",
"0",
"0",
"0",
"0",
"0",
"0",
"16",
"0",
"0",
"11",
"0",
"0",
"0",
"7",
"0",
"9",
"0",
"0",
"0",
"0",
"18",
"0",
"0",
"0",
"9",
"0",
"0",
"7",
"0",
"0",
"0",
"11",
"0",
"9",
"20",
"0",
"0",
"0",
"0",
"0",
"0",
"7",
"20",
"0"
]
| [
"nonn",
"look"
]
| 38 | 1 | 6 | [
"A000203",
"A000593",
"A067742",
"A071090",
"A071562",
"A299761",
"A299777",
"A303297",
"A358434",
"A361824",
"A361879"
]
| null | Omar E. Pol, Mar 25 2023 | 2023-03-27T22:36:19 | oeisdata/seq/A361/A361824.seq | 96142dd148eae78629f91dd246e13bbc |
A361825 | a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest positive number that has not yet appeared that is a multiple of the smallest prime that does not divide a(n-2) + a(n-1). | [
"1",
"2",
"4",
"5",
"6",
"8",
"3",
"10",
"12",
"9",
"14",
"16",
"7",
"18",
"20",
"15",
"22",
"24",
"21",
"26",
"28",
"25",
"30",
"32",
"27",
"34",
"36",
"33",
"38",
"40",
"35",
"42",
"44",
"39",
"46",
"48",
"45",
"50",
"52",
"55",
"54",
"56",
"51",
"58",
"60",
"57",
"62",
"64",
"65",
"66",
"68",
"63",
"70",
"72",
"69",
"74",
"76",
"49",
"78",
"80",
"75",
"82",
"84",
"81",
"86",
"88",
"85",
"90",
"92",
"87",
"94",
"96",
"93",
"98",
"100",
"95"
]
| [
"nonn"
]
| 10 | 1 | 2 | [
"A351495",
"A352793",
"A353026",
"A359804",
"A361825"
]
| null | Scott R. Shannon, Mar 25 2023 | 2023-03-31T06:55:57 | oeisdata/seq/A361/A361825.seq | 82451ae1e44a57de2e10df38b610e171 |
A361826 | a(n) is equal to the number of roots of the equation n*cos(x) = sqrt(x). | [
"1",
"1",
"3",
"5",
"7",
"11",
"15",
"21",
"25",
"31",
"39",
"45",
"53",
"63",
"71",
"81",
"91",
"103",
"115",
"127",
"141",
"155",
"169",
"183",
"199",
"215",
"233",
"249",
"267",
"287",
"305",
"325",
"347",
"367",
"389",
"413",
"435",
"459",
"485",
"509",
"535",
"561",
"589",
"617",
"645",
"673",
"703",
"733",
"765",
"795",
"827",
"861",
"895",
"929",
"963",
"999",
"1035"
]
| [
"nonn"
]
| 49 | 1 | 3 | [
"A178832",
"A361826"
]
| null | Nicolay Avilov, Mar 27 2023 | 2023-05-01T18:06:26 | oeisdata/seq/A361/A361826.seq | 4a3b70eb0b70507534529df589b45e24 |
A361827 | For any number k >= 0, let T_k be the triangle whose base corresponds to the ternary expansion of k (without leading zeros) and other values, say t above u and v, satisfy t = (-u-v) mod 3; this sequence lists the numbers k such that the configurations of 0's, 1's and 2's in T_k are the same up to rotation. | [
"3",
"5",
"6",
"7",
"11",
"15",
"19",
"21",
"84",
"93",
"102",
"140",
"149",
"158",
"168",
"177",
"186",
"196",
"205",
"214",
"308",
"318",
"351",
"377",
"410",
"420",
"528",
"532",
"574",
"588",
"702",
"715",
"2271",
"2396",
"2523",
"2621",
"2775",
"2873",
"2933",
"3150",
"3185",
"3375",
"3410",
"3627",
"3687",
"3785",
"3939",
"4037",
"4164",
"4289",
"4519"
]
| [
"nonn",
"base"
]
| 12 | 1 | 1 | [
"A004488",
"A007494",
"A297250",
"A361818",
"A361827"
]
| null | Rémy Sigrist, Mar 26 2023 | 2023-03-28T14:01:17 | oeisdata/seq/A361/A361827.seq | 12a5fbba2322aab90ca8724eb65cfd3d |
A361828 | a(0) = 1; a(n+1) = Sum_{k=0..n} k^k * a(n-k). | [
"1",
"1",
"2",
"7",
"40",
"338",
"3841",
"54821",
"939335",
"18744832",
"426390069",
"10881017916",
"307686450208",
"9546443638409",
"322375619648549",
"11769010007246745",
"461834905502223078",
"19384809864763869231",
"866564718107731746860",
"41102477939620052536314"
]
| [
"nonn",
"easy"
]
| 14 | 0 | 3 | [
"A000312",
"A051295",
"A277610",
"A361828"
]
| null | Seiichi Manyama, Mar 26 2023 | 2023-03-26T10:25:24 | oeisdata/seq/A361/A361828.seq | 9c55105db756d3513c12fe40cca46abc |
A361829 | a(n) = Sum_{k=0..n} binomial(2*k,k) * binomial(n*k,n-k). | [
"1",
"2",
"10",
"62",
"486",
"4482",
"47106",
"553226",
"7152438",
"100644194",
"1527758136",
"24839853326",
"430045385424",
"7888706328934",
"152685931935634",
"3106864307092950",
"66253232332628166",
"1476558925897693698",
"34307420366092350048",
"829217371825336147142"
]
| [
"nonn"
]
| 14 | 0 | 2 | [
"A099237",
"A361829",
"A361830",
"A361835"
]
| null | Seiichi Manyama, Mar 26 2023 | 2023-03-26T10:25:20 | oeisdata/seq/A361/A361829.seq | 6c309ebba2a64d202a268fbd7882ff0d |
A361830 | Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{j=0..n} binomial(2*j,j) * binomial(k*j,n-j). | [
"1",
"1",
"2",
"1",
"2",
"6",
"1",
"2",
"8",
"20",
"1",
"2",
"10",
"32",
"70",
"1",
"2",
"12",
"46",
"136",
"252",
"1",
"2",
"14",
"62",
"226",
"592",
"924",
"1",
"2",
"16",
"80",
"342",
"1136",
"2624",
"3432",
"1",
"2",
"18",
"100",
"486",
"1932",
"5810",
"11776",
"12870",
"1",
"2",
"20",
"122",
"660",
"3030",
"11094",
"30080",
"53344",
"48620"
]
| [
"nonn",
"tabl"
]
| 20 | 0 | 3 | [
"A000984",
"A006139",
"A099233",
"A137635",
"A361812",
"A361813",
"A361814",
"A361829",
"A361830",
"A361834"
]
| null | Seiichi Manyama, Mar 26 2023 | 2023-03-26T11:14:50 | oeisdata/seq/A361/A361830.seq | 295a29535c07bf712d33b5567e010e7e |
A361831 | a(n) is the first member of A106843 with sum of digits n. | [
"2",
"3",
"13",
"5",
"6",
"7",
"17",
"9",
"19",
"29",
"39",
"67",
"59",
"69",
"79",
"89",
"99",
"199",
"389",
"489",
"499",
"599",
"699",
"997",
"1889",
"999",
"1999",
"2999",
"4989",
"4999",
"6899",
"6999",
"17989",
"8999",
"18999",
"29989",
"39989",
"48999",
"49999",
"59999",
"69999",
"79999",
"98999",
"198999",
"199999",
"389999",
"589989",
"598999",
"599999",
"798999",
"799999",
"989999"
]
| [
"nonn",
"base"
]
| 60 | 2 | 1 | [
"A007953",
"A106843",
"A361831"
]
| null | Robert Israel, Mar 26 2023 | 2023-04-02T17:49:17 | oeisdata/seq/A361/A361831.seq | d54c903f29e6017fd3e9031e1b14d3d2 |
A361832 | For any number k >= 0, let T_k be the triangle whose base corresponds to the ternary expansion of k (without leading zeros) and other values, say t above u and v, satisfy t = (-u-v) mod 3; the ternary expansion of a(n) corresponds to the left border of T_n (the most significant digit being at the bottom left corner). | [
"0",
"1",
"2",
"5",
"4",
"3",
"7",
"6",
"8",
"16",
"17",
"15",
"12",
"13",
"14",
"11",
"9",
"10",
"23",
"21",
"22",
"19",
"20",
"18",
"24",
"25",
"26",
"50",
"49",
"48",
"53",
"52",
"51",
"47",
"46",
"45",
"38",
"37",
"36",
"41",
"40",
"39",
"44",
"43",
"42",
"35",
"34",
"33",
"29",
"28",
"27",
"32",
"31",
"30",
"70",
"69",
"71",
"64",
"63",
"65",
"67",
"66",
"68",
"58",
"57",
"59",
"61",
"60"
]
| [
"nonn",
"base"
]
| 14 | 0 | 3 | [
"A004488",
"A048328",
"A334727",
"A361818",
"A361832",
"A361833"
]
| null | Rémy Sigrist, Mar 26 2023 | 2024-03-30T11:38:34 | oeisdata/seq/A361/A361832.seq | ada1140d6abbe984728a5d11400b6e5b |
A361833 | Fixed points of A361832. | [
"0",
"1",
"2",
"4",
"8",
"12",
"13",
"14",
"24",
"25",
"26",
"37",
"40",
"43",
"74",
"77",
"80",
"111",
"112",
"113",
"120",
"121",
"122",
"129",
"130",
"131",
"222",
"223",
"224",
"231",
"232",
"233",
"240",
"241",
"242",
"334",
"336",
"341",
"362",
"364",
"366",
"387",
"392",
"394",
"668",
"670",
"672",
"693",
"698",
"700",
"721",
"723",
"728",
"1002",
"1003",
"1004"
]
| [
"nonn",
"base"
]
| 6 | 1 | 3 | [
"A117855",
"A361832",
"A361833"
]
| null | Rémy Sigrist, Mar 26 2023 | 2023-03-28T14:01:11 | oeisdata/seq/A361/A361833.seq | 86d68e74c81266ec0b8c78b893a0367e |
A361834 | Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{j=0..n} (-1)^(n-j) * binomial(2*j,j) * binomial(k*j,n-j). | [
"1",
"1",
"2",
"1",
"2",
"6",
"1",
"2",
"4",
"20",
"1",
"2",
"2",
"8",
"70",
"1",
"2",
"0",
"-2",
"16",
"252",
"1",
"2",
"-2",
"-10",
"-14",
"32",
"924",
"1",
"2",
"-4",
"-16",
"-22",
"-32",
"64",
"3432",
"1",
"2",
"-6",
"-20",
"-10",
"12",
"-30",
"128",
"12870",
"1",
"2",
"-8",
"-22",
"20",
"118",
"174",
"64",
"256",
"48620",
"1",
"2",
"-10",
"-22",
"66",
"242",
"304",
"344",
"346",
"512",
"184756"
]
| [
"sign",
"tabl"
]
| 15 | 0 | 3 | [
"A000079",
"A000984",
"A361815",
"A361816",
"A361817",
"A361830",
"A361834",
"A361835"
]
| null | Seiichi Manyama, Mar 26 2023 | 2023-03-26T11:14:46 | oeisdata/seq/A361/A361834.seq | 118d114e3a4cebd500d605ec1681bc85 |
A361835 | a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(2*k,k) * binomial(n*k,n-k). | [
"1",
"2",
"2",
"-10",
"-10",
"242",
"-678",
"-7054",
"88342",
"-207646",
"-6015904",
"88310862",
"-312514816",
"-8847633338",
"184252541514",
"-1269592841970",
"-17662739133178",
"634109114537218",
"-7914500471718552",
"-18165019012117450",
"2936604063787679650",
"-62899139815867627378"
]
| [
"sign"
]
| 14 | 0 | 2 | [
"A361829",
"A361834",
"A361835",
"A361836"
]
| null | Seiichi Manyama, Mar 26 2023 | 2023-04-10T12:50:35 | oeisdata/seq/A361/A361835.seq | 413753e812f1f7d7f1ff52ecb8c8888d |
A361836 | a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n*k,n-k). | [
"1",
"1",
"-1",
"-2",
"13",
"-29",
"-80",
"1268",
"-7351",
"13276",
"245746",
"-3632793",
"27451743",
"-63909390",
"-1752952501",
"34899085656",
"-370619158447",
"1779155624299",
"23668687715473",
"-780307293795152",
"12058261763444876",
"-107734052276914986",
"-180664717708949253",
"30298196609011736398"
]
| [
"sign",
"easy"
]
| 9 | 0 | 4 | [
"A099237",
"A361835",
"A361836"
]
| null | Seiichi Manyama, Mar 26 2023 | 2023-03-26T10:25:28 | oeisdata/seq/A361/A361836.seq | 2c9434ca3dc8f7500c6a32d278717e7e |
A361837 | Maximum cardinality of trifferent codes with length n. | [
"3",
"4",
"6",
"9",
"10",
"13",
"16",
"20",
"27"
]
| [
"nonn",
"hard",
"more"
]
| 16 | 1 | 1 | null | null | Lorenzo Sauras Altuzarra, Mar 26 2023 | 2025-05-11T01:17:29 | oeisdata/seq/A361/A361837.seq | 333f66ef6ebeee2d60f9a8e13e2da5e3 |
A361838 | a(n) is the number of 2s in the binary hereditary representation of 2n. | [
"1",
"2",
"3",
"2",
"3",
"4",
"5",
"3",
"4",
"5",
"6",
"5",
"6",
"7",
"8",
"3",
"4",
"5",
"6",
"5",
"6",
"7",
"8",
"6",
"7",
"8",
"9",
"8",
"9",
"10",
"11",
"4",
"5",
"6",
"7",
"6",
"7",
"8",
"9",
"7",
"8",
"9",
"10",
"9",
"10",
"11",
"12",
"7",
"8",
"9",
"10",
"9",
"10",
"11",
"12",
"10",
"11",
"12",
"13",
"12",
"13",
"14",
"15",
"4",
"5",
"6",
"7",
"6",
"7",
"8",
"9",
"7",
"8",
"9",
"10",
"9",
"10",
"11",
"12",
"7"
]
| [
"nonn",
"base",
"hear"
]
| 16 | 1 | 2 | [
"A005245",
"A025280",
"A361838"
]
| null | Jodi Spitz, Mar 26 2023 | 2024-06-04T14:24:05 | oeisdata/seq/A361/A361838.seq | 34ee86dd17ebb92e009ab1c2bf7d9c32 |
A361839 | Square array T(n,k), n>=0, k>=0, read by antidiagonals downwards, where column k is the expansion of 1/(1 - 9*x*(1 + x)^k)^(1/3). | [
"1",
"1",
"3",
"1",
"3",
"18",
"1",
"3",
"21",
"126",
"1",
"3",
"24",
"162",
"945",
"1",
"3",
"27",
"201",
"1341",
"7371",
"1",
"3",
"30",
"243",
"1809",
"11529",
"58968",
"1",
"3",
"33",
"288",
"2352",
"16893",
"101619",
"480168",
"1",
"3",
"36",
"336",
"2973",
"23607",
"161676",
"911466",
"3961386",
"1",
"3",
"39",
"387",
"3675",
"31818",
"242757",
"1574289",
"8281737",
"33011550"
]
| [
"nonn",
"tabl"
]
| 12 | 0 | 3 | [
"A004987",
"A180400",
"A361830",
"A361839",
"A361840",
"A361841",
"A361842",
"A361846"
]
| null | Seiichi Manyama, Mar 26 2023 | 2023-03-27T10:14:42 | oeisdata/seq/A361/A361839.seq | 57de1911c37716dc4143fae89502d5b8 |
A361840 | Square array T(n,k), n>=0, k>=0, read by antidiagonals downwards, where column k is the expansion of 1/(1 - 9*x*(1 - x)^k)^(1/3). | [
"1",
"1",
"3",
"1",
"3",
"18",
"1",
"3",
"15",
"126",
"1",
"3",
"12",
"90",
"945",
"1",
"3",
"9",
"57",
"585",
"7371",
"1",
"3",
"6",
"27",
"297",
"3969",
"58968",
"1",
"3",
"3",
"0",
"78",
"1629",
"27657",
"480168",
"1",
"3",
"0",
"-24",
"-75",
"207",
"9216",
"196290",
"3961386",
"1",
"3",
"-3",
"-45",
"-165",
"-438",
"459",
"53217",
"1411965",
"33011550"
]
| [
"sign",
"tabl"
]
| 12 | 0 | 3 | [
"A004987",
"A361834",
"A361839",
"A361840",
"A361843",
"A361844",
"A361845",
"A361847"
]
| null | Seiichi Manyama, Mar 26 2023 | 2023-03-27T10:14:38 | oeisdata/seq/A361/A361840.seq | fe3f809b3640cc629a720edbc51a1d28 |
A361841 | Expansion of 1/(1 - 9*x*(1+x)^2)^(1/3). | [
"1",
"3",
"24",
"201",
"1809",
"16893",
"161676",
"1574289",
"15527052",
"154662930",
"1552725504",
"15688410264",
"159355067283",
"1625899880673",
"16652520666414",
"171119405299005",
"1763475423260049",
"18219685282559559",
"188664151412242368",
"1957539823296458841",
"20347733657193596127"
]
| [
"nonn"
]
| 19 | 0 | 2 | [
"A002478",
"A137635",
"A361839",
"A361841",
"A361844"
]
| null | Seiichi Manyama, Mar 26 2023 | 2023-03-30T09:14:59 | oeisdata/seq/A361/A361841.seq | 4037db1a8ead52afee94566bbf196d6a |
A361842 | Expansion of 1/(1 - 9*x*(1+x)^3)^(1/3). | [
"1",
"3",
"27",
"243",
"2352",
"23607",
"242757",
"2539431",
"26904492",
"287858421",
"3104029755",
"33684914907",
"367483636746",
"4026930734223",
"44295829667055",
"488855016668727",
"5410588668898995",
"60035381850523284",
"667643481187840206",
"7439651232903588528",
"83050643822779921347"
]
| [
"nonn"
]
| 22 | 0 | 2 | [
"A099234",
"A361812",
"A361839",
"A361842",
"A361845"
]
| null | Seiichi Manyama, Mar 26 2023 | 2024-07-12T10:17:08 | oeisdata/seq/A361/A361842.seq | 65f843628d7651d07e8687401a93bea9 |
A361843 | Expansion of 1/(1 - 9*x*(1-x))^(1/3). | [
"1",
"3",
"15",
"90",
"585",
"3969",
"27657",
"196290",
"1411965",
"10261485",
"75183147",
"554480316",
"4111617510",
"30628393110",
"229048769790",
"1718666596692",
"12933847045701",
"97584913269675",
"737953856289675",
"5591915004100950",
"42450848142844995",
"322796964495941235"
]
| [
"nonn"
]
| 18 | 0 | 2 | [
"A004987",
"A361840",
"A361843"
]
| null | Seiichi Manyama, Mar 26 2023 | 2023-04-07T02:33:04 | oeisdata/seq/A361/A361843.seq | 31df4c9ab5284fd9bbdfbe2796bd6d2b |
A361844 | Expansion of 1/(1 - 9*x*(1-x)^2)^(1/3). | [
"1",
"3",
"12",
"57",
"297",
"1629",
"9216",
"53217",
"311796",
"1846818",
"11032416",
"66356712",
"401364531",
"2439135585",
"14882263002",
"91116281565",
"559528781697",
"3445002647847",
"21260140172244",
"131474746842345",
"814564464082263",
"5055177167348463",
"31420067723814780"
]
| [
"nonn"
]
| 17 | 0 | 2 | [
"A004987",
"A361815",
"A361840",
"A361844"
]
| null | Seiichi Manyama, Mar 26 2023 | 2023-03-27T15:14:13 | oeisdata/seq/A361/A361844.seq | 6246af249aec372e2540b65ea0776b38 |
A361845 | Expansion of 1/(1 - 9*x*(1-x)^3)^(1/3). | [
"1",
"3",
"9",
"27",
"78",
"207",
"459",
"567",
"-1926",
"-20763",
"-120123",
"-569349",
"-2410200",
"-9379449",
"-33818715",
"-112292001",
"-335018295",
"-837341388",
"-1317232530",
"2358000072",
"35974607355",
"228270292803",
"1148026536963",
"5094839173779",
"20667058966044",
"77501033284779"
]
| [
"sign"
]
| 18 | 0 | 2 | [
"A361816",
"A361840",
"A361845"
]
| null | Seiichi Manyama, Mar 26 2023 | 2024-07-12T10:17:21 | oeisdata/seq/A361/A361845.seq | b224c2a0abe12c1574ff6c89fd099aad |
A361846 | a(n) = Sum_{k=0..n} (-9)^k * binomial(-1/3,k) * binomial(n*k,n-k). | [
"1",
"3",
"24",
"243",
"2973",
"41676",
"652662",
"11228556",
"209674050",
"4211011422",
"90309000630",
"2056139084544",
"49460437075896",
"1251936022103679",
"33228751234896060",
"922028391785300940",
"26676362307801924057",
"802875670635086298600"
]
| [
"nonn"
]
| 16 | 0 | 2 | [
"A361829",
"A361839",
"A361846",
"A361847"
]
| null | Seiichi Manyama, Mar 27 2023 | 2023-04-07T08:57:04 | oeisdata/seq/A361/A361846.seq | dd2cb3c8fe21a2cf65f077a573a0e025 |
A361847 | a(n) = (-1)^n * Sum_{k=0..n} 9^k * binomial(-1/3,k) * binomial(n*k,n-k). | [
"1",
"3",
"12",
"27",
"-75",
"-444",
"4734",
"11532",
"-466782",
"1626750",
"50347410",
"-708889296",
"-2196754992",
"179878246239",
"-1795732735128",
"-24691325878980",
"953903679982809",
"-7684914725016600",
"-226465559200630566",
"7742131606464606525",
"-58889021552013912990"
]
| [
"sign"
]
| 13 | 0 | 2 | [
"A361835",
"A361840",
"A361846",
"A361847"
]
| null | Seiichi Manyama, Mar 27 2023 | 2023-04-07T02:33:19 | oeisdata/seq/A361/A361847.seq | a9e0c8465117559d89db41667ad5e385 |
A361848 | Number of integer partitions of n such that (maximum) <= 2*(median). | [
"1",
"2",
"3",
"5",
"6",
"9",
"12",
"15",
"19",
"26",
"31",
"40",
"49",
"61",
"75",
"93",
"112",
"137",
"165",
"199",
"238",
"289",
"341",
"408",
"482",
"571",
"674",
"796",
"932",
"1096",
"1280",
"1495",
"1738",
"2026",
"2347",
"2724",
"3148",
"3639",
"4191",
"4831",
"5545",
"6372",
"7298",
"8358",
"9552",
"10915",
"12439",
"14176",
"16121",
"18325"
]
| [
"nonn"
]
| 11 | 0 | 2 | [
"A000009",
"A000041",
"A000975",
"A008284",
"A013580",
"A027193",
"A061395",
"A067538",
"A111907",
"A237755",
"A237824",
"A240219",
"A307683",
"A324562",
"A325347",
"A359893",
"A359901",
"A359907",
"A360005",
"A360457",
"A361394",
"A361848",
"A361849",
"A361851",
"A361856",
"A361857",
"A361858",
"A361859",
"A361860",
"A361867",
"A361868"
]
| null | Gus Wiseman, Mar 28 2023 | 2023-03-30T20:54:44 | oeisdata/seq/A361/A361848.seq | 917e11d5002526afdafa7ff288ae0733 |
A361849 | Number of integer partitions of n such that the maximum is twice the median. | [
"0",
"0",
"0",
"1",
"1",
"1",
"4",
"3",
"4",
"7",
"9",
"9",
"15",
"16",
"20",
"26",
"34",
"37",
"50",
"55",
"68",
"86",
"103",
"117",
"145",
"168",
"201",
"236",
"282",
"324",
"391",
"449",
"525",
"612",
"712",
"818",
"962",
"1106",
"1278",
"1470",
"1698",
"1939",
"2238",
"2550",
"2924",
"3343",
"3824",
"4341",
"4963",
"5627",
"6399",
"7256",
"8231",
"9300"
]
| [
"nonn"
]
| 6 | 1 | 7 | [
"A000009",
"A000041",
"A008284",
"A013580",
"A027193",
"A053263",
"A058398",
"A061395",
"A067659",
"A111907",
"A116608",
"A118096",
"A237753",
"A237755",
"A240219",
"A307683",
"A325347",
"A359893",
"A359901",
"A359902",
"A360005",
"A360457",
"A361848",
"A361849",
"A361851",
"A361853",
"A361856",
"A361857",
"A361859",
"A361860"
]
| null | Gus Wiseman, Apr 02 2023 | 2023-04-02T09:48:00 | oeisdata/seq/A361/A361849.seq | d0eb6b0897b76d4267915b9a30ee61e6 |
A361850 | Number of strict integer partitions of n such that the maximum is twice the median. | [
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"2",
"0",
"2",
"1",
"3",
"3",
"4",
"2",
"5",
"4",
"7",
"8",
"10",
"6",
"11",
"11",
"15",
"16",
"21",
"18",
"25",
"23",
"28",
"32",
"40",
"40",
"51",
"51",
"58",
"60",
"73",
"75",
"93",
"97",
"113",
"123",
"139",
"141",
"164",
"175",
"199",
"217",
"248",
"263",
"301",
"320",
"356",
"383",
"426",
"450",
"511",
"551",
"613",
"664",
"737"
]
| [
"nonn"
]
| 5 | 1 | 11 | [
"A000009",
"A000041",
"A000975",
"A008284",
"A027193",
"A058398",
"A067659",
"A079309",
"A111907",
"A116608",
"A237755",
"A237824",
"A241035",
"A241087",
"A307683",
"A325347",
"A359893",
"A359897",
"A359901",
"A359902",
"A359907",
"A359908",
"A360005",
"A360457",
"A360952",
"A361849",
"A361850",
"A361851",
"A361856",
"A361857",
"A361858",
"A361859",
"A361860",
"A361867"
]
| null | Gus Wiseman, Apr 02 2023 | 2023-04-02T09:48:32 | oeisdata/seq/A361/A361850.seq | 75d1ecae35cf1f270ce30afd8213a635 |
A361851 | Number of integer partitions of n such that (length) * (maximum) <= 2*n. | [
"1",
"2",
"3",
"5",
"7",
"11",
"12",
"18",
"23",
"31",
"37",
"51",
"58",
"75",
"96",
"116",
"126",
"184",
"193",
"253",
"307",
"346",
"402",
"511",
"615",
"678",
"792",
"1045",
"1088",
"1386",
"1419",
"1826",
"2181",
"2293",
"2779",
"3568",
"3659",
"3984",
"4867",
"5885",
"6407",
"7732",
"8124",
"9400",
"11683",
"13025",
"13269",
"16216",
"17774",
"22016"
]
| [
"nonn"
]
| 9 | 1 | 2 | [
"A000009",
"A000041",
"A008284",
"A051293",
"A058398",
"A067538",
"A111907",
"A237755",
"A237824",
"A237984",
"A240219",
"A324521",
"A324562",
"A327482",
"A349156",
"A360068",
"A360071",
"A360241",
"A361394",
"A361848",
"A361849",
"A361851",
"A361852",
"A361853",
"A361855",
"A361856",
"A361858",
"A361859",
"A361906",
"A361907"
]
| null | Gus Wiseman, Mar 28 2023 | 2023-03-31T05:01:37 | oeisdata/seq/A361/A361851.seq | d4b20b437b7287a032da5517259a21bf |
A361852 | Number of integer partitions of n such that (length) * (maximum) < 2n. | [
"1",
"2",
"3",
"5",
"7",
"9",
"12",
"17",
"21",
"27",
"37",
"41",
"58",
"67",
"80",
"106",
"126",
"153",
"193",
"209",
"263",
"326",
"402",
"419",
"565",
"650",
"694",
"891",
"1088",
"1120",
"1419",
"1672",
"1987",
"2245",
"2345",
"2856",
"3659",
"3924",
"4519",
"4975",
"6407",
"6534",
"8124",
"8280",
"9545",
"12937",
"13269",
"13788",
"16474",
"20336"
]
| [
"nonn"
]
| 7 | 1 | 2 | [
"A000009",
"A000041",
"A008284",
"A027193",
"A051293",
"A058398",
"A067538",
"A111907",
"A116608",
"A237754",
"A237755",
"A237824",
"A237984",
"A324517",
"A327482",
"A349156",
"A360068",
"A360071",
"A361394",
"A361848",
"A361849",
"A361852",
"A361853",
"A361855",
"A361856",
"A361858",
"A361906",
"A361907"
]
| null | Gus Wiseman, Mar 29 2023 | 2023-03-31T05:01:30 | oeisdata/seq/A361/A361852.seq | 2a03eaae5b59694444b88b07d7c1d12d |
A361853 | Number of integer partitions of n such that (length) * (maximum) = 2n. | [
"0",
"0",
"0",
"0",
"0",
"2",
"0",
"1",
"2",
"4",
"0",
"10",
"0",
"8",
"16",
"10",
"0",
"31",
"0",
"44",
"44",
"20",
"0",
"92",
"50",
"28",
"98",
"154",
"0",
"266",
"0",
"154",
"194",
"48",
"434",
"712",
"0",
"60",
"348",
"910",
"0",
"1198",
"0",
"1120",
"2138",
"88",
"0",
"2428",
"1300",
"1680",
"912",
"2506",
"0",
"4808",
"4800",
"5968",
"1372",
"140",
"0",
"14820",
"0",
"160"
]
| [
"nonn"
]
| 6 | 1 | 6 | [
"A000009",
"A000041",
"A008284",
"A051293",
"A058398",
"A067538",
"A111907",
"A116608",
"A118096",
"A188814",
"A237753",
"A237755",
"A237824",
"A237984",
"A240219",
"A268192",
"A326844",
"A326849",
"A327482",
"A349156",
"A359894",
"A361849",
"A361851",
"A361852",
"A361853",
"A361854",
"A361855",
"A361856",
"A361906",
"A361907"
]
| null | Gus Wiseman, Mar 29 2023 | 2023-03-31T05:01:23 | oeisdata/seq/A361/A361853.seq | f9f7fc6fc5d9ef86d88c201ff5ca7c8a |
A361854 | Number of strict integer partitions of n such that (length) * (maximum) = 2n. | [
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"2",
"0",
"1",
"2",
"2",
"0",
"5",
"0",
"6",
"3",
"5",
"0",
"11",
"6",
"8",
"7",
"10",
"0",
"36",
"0",
"14",
"16",
"16",
"29",
"43",
"0",
"21",
"36",
"69",
"0",
"97",
"0",
"35",
"138",
"33",
"0",
"150",
"61",
"137",
"134",
"74",
"0",
"231",
"134",
"265",
"229",
"56",
"0",
"650",
"0",
"65",
"749",
"267",
"247",
"533",
"0",
"405",
"565"
]
| [
"nonn"
]
| 7 | 1 | 12 | [
"A000009",
"A000041",
"A005117",
"A008284",
"A008289",
"A058398",
"A067538",
"A102627",
"A111907",
"A116608",
"A118096",
"A237753",
"A237755",
"A240850",
"A241035",
"A241087",
"A268192",
"A326844",
"A326849",
"A359897",
"A360068",
"A360071",
"A360243",
"A361848",
"A361849",
"A361850",
"A361851",
"A361852",
"A361853",
"A361854",
"A361855",
"A361906"
]
| null | Gus Wiseman, Mar 29 2023 | 2023-03-31T05:01:14 | oeisdata/seq/A361/A361854.seq | ef79dbae3abd4975911649cb8919b408 |
A361855 | Numbers > 1 whose prime indices satisfy (maximum) * (length) = 2*(sum). | [
"28",
"40",
"78",
"84",
"171",
"190",
"198",
"220",
"240",
"252",
"280",
"351",
"364",
"390",
"406",
"435",
"714",
"748",
"756",
"765",
"777",
"784",
"814",
"840",
"850",
"925",
"988",
"1118",
"1197",
"1254",
"1330",
"1352",
"1419",
"1425",
"1440",
"1505",
"1564",
"1600",
"1638",
"1716",
"1755",
"1794",
"1802",
"1820",
"1950",
"2067",
"2204",
"2254"
]
| [
"nonn"
]
| 6 | 1 | 1 | [
"A001221",
"A001222",
"A056239",
"A061395",
"A067801",
"A112798",
"A118096",
"A237753",
"A237824",
"A316413",
"A324521",
"A326567",
"A326568",
"A326844",
"A361205",
"A361849",
"A361851",
"A361853",
"A361854",
"A361855",
"A361856",
"A361906",
"A361908",
"A361909"
]
| null | Gus Wiseman, Mar 29 2023 | 2023-04-01T22:03:27 | oeisdata/seq/A361/A361855.seq | 0c597e4bea27cc44b78c047a88b51c40 |
A361856 | Positive integers whose prime indices satisfy (maximum) = 2*(median). | [
"12",
"24",
"42",
"48",
"60",
"63",
"72",
"96",
"126",
"130",
"140",
"144",
"189",
"192",
"195",
"252",
"266",
"288",
"308",
"325",
"330",
"360",
"378",
"384",
"399",
"420",
"432",
"495",
"546",
"567",
"572",
"576",
"588",
"600",
"630",
"638",
"650",
"665",
"756",
"768",
"819",
"864",
"882",
"884",
"931",
"945",
"957",
"962",
"975",
"1122",
"1134",
"1152",
"1190"
]
| [
"nonn"
]
| 6 | 1 | 1 | [
"A000975",
"A001221",
"A001222",
"A027193",
"A056239",
"A061395",
"A067801",
"A111907",
"A112798",
"A118096",
"A237753",
"A307683",
"A325347",
"A359893",
"A359901",
"A360005",
"A360457",
"A361205",
"A361848",
"A361849",
"A361853",
"A361855",
"A361856",
"A361858",
"A361908",
"A361909"
]
| null | Gus Wiseman, Apr 02 2023 | 2023-04-02T09:40:11 | oeisdata/seq/A361/A361856.seq | 6fd25a8edd81bfa5153a6d23186a84af |
A361857 | Number of integer partitions of n such that the maximum is greater than twice the median. | [
"0",
"0",
"0",
"0",
"1",
"2",
"3",
"7",
"11",
"16",
"25",
"37",
"52",
"74",
"101",
"138",
"185",
"248",
"325",
"428",
"554",
"713",
"914",
"1167",
"1476",
"1865",
"2336",
"2922",
"3633",
"4508",
"5562",
"6854",
"8405",
"10284",
"12536",
"15253",
"18489",
"22376",
"26994",
"32507",
"39038",
"46802",
"55963",
"66817",
"79582",
"94643",
"112315"
]
| [
"nonn"
]
| 5 | 1 | 6 | [
"A000009",
"A000041",
"A000975",
"A008284",
"A013580",
"A027193",
"A061395",
"A237751",
"A237755",
"A237820",
"A237824",
"A240219",
"A307683",
"A325347",
"A359893",
"A359901",
"A360005",
"A360457",
"A361394",
"A361848",
"A361849",
"A361851",
"A361856",
"A361857",
"A361858",
"A361859",
"A361860",
"A361867",
"A361868",
"A361907"
]
| null | Gus Wiseman, Apr 02 2023 | 2023-04-03T09:16:59 | oeisdata/seq/A361/A361857.seq | 0debc4f2fa2d503ed297073a4c9e944f |
A361858 | Number of integer partitions of n such that the maximum is less than twice the median. | [
"1",
"2",
"3",
"4",
"5",
"8",
"8",
"12",
"15",
"19",
"22",
"31",
"34",
"45",
"55",
"67",
"78",
"100",
"115",
"144",
"170",
"203",
"238",
"291",
"337",
"403",
"473",
"560",
"650",
"772",
"889",
"1046",
"1213",
"1414",
"1635",
"1906",
"2186",
"2533",
"2913",
"3361",
"3847",
"4433",
"5060",
"5808",
"6628",
"7572",
"8615",
"9835",
"11158",
"12698",
"14394"
]
| [
"nonn"
]
| 5 | 1 | 2 | [
"A000009",
"A000041",
"A000975",
"A008284",
"A027193",
"A053263",
"A237751",
"A237754",
"A237755",
"A237820",
"A237824",
"A240219",
"A307683",
"A325347",
"A359893",
"A359901",
"A360005",
"A360457",
"A361394",
"A361848",
"A361849",
"A361850",
"A361851",
"A361852",
"A361856",
"A361857",
"A361858",
"A361859",
"A361860",
"A361867",
"A361868",
"A361907"
]
| null | Gus Wiseman, Apr 02 2023 | 2023-04-03T09:16:53 | oeisdata/seq/A361/A361858.seq | 371c88e89c4e68492a2d18b370d200ab |
A361859 | Number of integer partitions of n such that the maximum is greater than or equal to twice the median. | [
"0",
"0",
"0",
"1",
"2",
"3",
"7",
"10",
"15",
"23",
"34",
"46",
"67",
"90",
"121",
"164",
"219",
"285",
"375",
"483",
"622",
"799",
"1017",
"1284",
"1621",
"2033",
"2537",
"3158",
"3915",
"4832",
"5953",
"7303",
"8930",
"10896",
"13248",
"16071",
"19451",
"23482",
"28272",
"33977",
"40736",
"48741",
"58201",
"69367",
"82506",
"97986",
"116139"
]
| [
"nonn"
]
| 5 | 1 | 5 | [
"A000009",
"A000041",
"A000975",
"A008284",
"A027193",
"A067538",
"A237752",
"A237755",
"A237820",
"A237821",
"A237824",
"A240219",
"A307683",
"A325347",
"A359893",
"A359901",
"A359907",
"A360005",
"A360457",
"A361848",
"A361849",
"A361851",
"A361856",
"A361857",
"A361858",
"A361859",
"A361860",
"A361867",
"A361868",
"A361906",
"A361907"
]
| null | Gus Wiseman, Apr 02 2023 | 2023-04-03T09:17:07 | oeisdata/seq/A361/A361859.seq | 43ed7e6d0fcd6e0822c6e14845178fb9 |
A361860 | Number of integer partitions of n whose median part is the smallest. | [
"1",
"2",
"2",
"4",
"4",
"7",
"8",
"12",
"15",
"21",
"25",
"36",
"44",
"58",
"72",
"95",
"117",
"150",
"185",
"235",
"289",
"362",
"441",
"550",
"670",
"824",
"1000",
"1223",
"1476",
"1795",
"2159",
"2609",
"3126",
"3758",
"4485",
"5369",
"6388",
"7609",
"9021",
"10709",
"12654",
"14966",
"17632",
"20782",
"24414",
"28684",
"33601",
"39364",
"45996"
]
| [
"nonn"
]
| 7 | 1 | 2 | [
"A000005",
"A000009",
"A000041",
"A006141",
"A008284",
"A027193",
"A053263",
"A058398",
"A067659",
"A111907",
"A116608",
"A118096",
"A237753",
"A240219",
"A307683",
"A325347",
"A359893",
"A359901",
"A359902",
"A359907",
"A360005",
"A360457",
"A361848",
"A361849",
"A361860",
"A361861"
]
| null | Gus Wiseman, Apr 02 2023 | 2023-04-03T09:16:27 | oeisdata/seq/A361/A361860.seq | aab3e8c058b9f564ab157d1007adc4f8 |
A361861 | Number of integer partitions of n where the median is twice the minimum. | [
"0",
"0",
"0",
"1",
"1",
"1",
"2",
"5",
"5",
"8",
"11",
"16",
"20",
"28",
"38",
"53",
"67",
"87",
"111",
"146",
"183",
"236",
"297",
"379",
"471",
"591",
"729",
"909",
"1116",
"1376",
"1682",
"2065",
"2507",
"3055",
"3699",
"4482",
"5395",
"6501",
"7790",
"9345",
"11153",
"13316",
"15839",
"18844",
"22333",
"26466",
"31266",
"36924",
"43478",
"51177"
]
| [
"nonn"
]
| 6 | 1 | 7 | [
"A000009",
"A000041",
"A006141",
"A008284",
"A027193",
"A039900",
"A053263",
"A058398",
"A067659",
"A111907",
"A116608",
"A118096",
"A237753",
"A237755",
"A237757",
"A237824",
"A307683",
"A325347",
"A359893",
"A359901",
"A359902",
"A360005",
"A360457",
"A361848",
"A361853",
"A361860",
"A361861"
]
| null | Gus Wiseman, Apr 02 2023 | 2023-04-03T09:15:58 | oeisdata/seq/A361/A361861.seq | 3acdb0cbb8c8c704548cc07261c19e5e |
A361862 | Number of integer partitions of n such that (maximum) - (minimum) = (mean). | [
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"3",
"2",
"2",
"0",
"7",
"0",
"3",
"6",
"10",
"0",
"13",
"0",
"17",
"10",
"5",
"0",
"40",
"12",
"6",
"18",
"34",
"0",
"62",
"0",
"50",
"24",
"8",
"60",
"125",
"0",
"9",
"32",
"169",
"0",
"165",
"0",
"95",
"176",
"11",
"0",
"373",
"114",
"198",
"54",
"143",
"0",
"384",
"254",
"574",
"66",
"14",
"0",
"1090",
"0",
"15",
"748",
"633",
"448",
"782",
"0",
"286"
]
| [
"nonn"
]
| 9 | 1 | 8 | [
"A000009",
"A000040",
"A000041",
"A008284",
"A058398",
"A067538",
"A097364",
"A118096",
"A237755",
"A237824",
"A237832",
"A237984",
"A240219",
"A243055",
"A326836",
"A326837",
"A326844",
"A327482",
"A349156",
"A359360",
"A360068",
"A360241",
"A361853",
"A361862",
"A362047"
]
| null | Gus Wiseman, Apr 10 2023 | 2023-04-12T11:08:26 | oeisdata/seq/A361/A361862.seq | 52bbcc3525857b33f3cd054e77aebb0e |
A361863 | Number of set partitions of {1..n} such that the median of medians of the blocks is (n+1)/2. | [
"1",
"2",
"3",
"9",
"26",
"69",
"335",
"1018",
"6629",
"22805",
"182988",
"703745"
]
| [
"nonn",
"more"
]
| 10 | 1 | 2 | [
"A000110",
"A000975",
"A007837",
"A013580",
"A027193",
"A035470",
"A038041",
"A067659",
"A079309",
"A231147",
"A275714",
"A275780",
"A307683",
"A325347",
"A326512",
"A326513",
"A326516",
"A326521",
"A326537",
"A327475",
"A327481",
"A359893",
"A359901",
"A359902",
"A359907",
"A360005",
"A360457",
"A361654",
"A361801",
"A361863",
"A361864",
"A361865",
"A361866",
"A361910",
"A361911"
]
| null | Gus Wiseman, Apr 04 2023 | 2023-04-04T07:41:43 | oeisdata/seq/A361/A361863.seq | 7f819d729e1004168160452548ee6fce |
A361864 | Number of set partitions of {1..n} whose block-medians have integer median. | [
"1",
"0",
"3",
"6",
"30",
"96",
"461",
"2000",
"10727",
"57092",
"342348"
]
| [
"nonn",
"more"
]
| 5 | 1 | 3 | [
"A000110",
"A000975",
"A007837",
"A013580",
"A027193",
"A035470",
"A038041",
"A067659",
"A079309",
"A231147",
"A275714",
"A275780",
"A307683",
"A308037",
"A325347",
"A326512",
"A326513",
"A327475",
"A327481",
"A359893",
"A359907",
"A360005",
"A360457",
"A361801",
"A361864",
"A361865",
"A361866",
"A361911"
]
| null | Gus Wiseman, Apr 04 2023 | 2023-04-04T07:41:38 | oeisdata/seq/A361/A361864.seq | 387b8e785a4c12ba76cfac8bf79afa6a |
A361865 | Number of set partitions of {1..n} such that the mean of the means of the blocks is an integer. | [
"1",
"0",
"3",
"2",
"12",
"18",
"101",
"232",
"1547",
"3768",
"24974",
"116728",
"687419",
"3489664",
"26436217",
"159031250",
"1129056772"
]
| [
"nonn",
"more",
"changed"
]
| 10 | 1 | 3 | [
"A000110",
"A000975",
"A007837",
"A035470",
"A038041",
"A067538",
"A102627",
"A275714",
"A275780",
"A308037",
"A326512",
"A326513",
"A326521",
"A326537",
"A326836",
"A327475",
"A327481",
"A361864",
"A361865",
"A361866",
"A361911"
]
| null | Gus Wiseman, Apr 04 2023 | 2025-06-30T21:09:30 | oeisdata/seq/A361/A361865.seq | eca49a15a5d89319c765547795492cc1 |
A361866 | Number of set partitions of {1..n} with block-means summing to an integer. | [
"1",
"1",
"1",
"3",
"8",
"22",
"75",
"267",
"1119",
"4965",
"22694",
"117090",
"670621",
"3866503",
"24113829",
"161085223",
"1120025702",
"8121648620",
"62083083115",
"492273775141",
"4074919882483"
]
| [
"nonn",
"more"
]
| 11 | 0 | 4 | [
"A000110",
"A000975",
"A007837",
"A013580",
"A035470",
"A038041",
"A067538",
"A067659",
"A102627",
"A275714",
"A275780",
"A308037",
"A326512",
"A326513",
"A326515",
"A326516",
"A326521",
"A326836",
"A327475",
"A327481",
"A361864",
"A361865",
"A361866",
"A361911"
]
| null | Gus Wiseman, Apr 04 2023 | 2025-05-12T19:06:48 | oeisdata/seq/A361/A361866.seq | 22c8183dd36fd1907b7ffe8ccbdade74 |
A361867 | Positive integers > 1 whose prime indices satisfy (maximum) > 2*(median). | [
"20",
"28",
"40",
"44",
"52",
"56",
"66",
"68",
"76",
"78",
"80",
"84",
"88",
"92",
"99",
"102",
"104",
"112",
"114",
"116",
"117",
"120",
"124",
"132",
"136",
"138",
"148",
"152",
"153",
"156",
"160",
"164",
"168",
"170",
"171",
"172",
"174",
"176",
"184",
"186",
"188",
"190",
"198",
"200",
"204",
"207",
"208",
"212",
"220",
"222",
"224",
"228",
"230",
"232",
"234"
]
| [
"nonn"
]
| 6 | 1 | 1 | [
"A000975",
"A001221",
"A001222",
"A053263",
"A056239",
"A061395",
"A067801",
"A111907",
"A112798",
"A237751",
"A237820",
"A359893",
"A360005",
"A360457",
"A361848",
"A361849",
"A361855",
"A361856",
"A361857",
"A361858",
"A361859",
"A361867",
"A361868",
"A361907",
"A361908",
"A361909"
]
| null | Gus Wiseman, Apr 05 2023 | 2023-04-06T21:44:06 | oeisdata/seq/A361/A361867.seq | 01a3704b8e0e32083762807640eecc06 |
A361868 | Positive integers > 1 whose prime indices satisfy (maximum) >= 2*(median). | [
"12",
"20",
"24",
"28",
"40",
"42",
"44",
"48",
"52",
"56",
"60",
"63",
"66",
"68",
"72",
"76",
"78",
"80",
"84",
"88",
"92",
"96",
"99",
"102",
"104",
"112",
"114",
"116",
"117",
"120",
"124",
"126",
"130",
"132",
"136",
"138",
"140",
"144",
"148",
"152",
"153",
"156",
"160",
"164",
"168",
"170",
"171",
"172",
"174",
"176",
"184",
"186",
"188",
"189",
"190",
"192",
"195"
]
| [
"nonn"
]
| 7 | 1 | 1 | [
"A000975",
"A001221",
"A001222",
"A027193",
"A053263",
"A056239",
"A061395",
"A111907",
"A112798",
"A118096",
"A237753",
"A237821",
"A307683",
"A325347",
"A359893",
"A359901",
"A360005",
"A360457",
"A361848",
"A361849",
"A361855",
"A361856",
"A361857",
"A361858",
"A361859",
"A361867",
"A361868",
"A361906",
"A361908"
]
| null | Gus Wiseman, Apr 05 2023 | 2023-04-07T09:24:26 | oeisdata/seq/A361/A361868.seq | 6163c5abd2454b7e5d0c7a0a4740c296 |
A361869 | Let x_0, x_1, x_2, ... be the iterations of the arithmetic derivative A003415 starting with x_0 = n. a(n) is the greatest k such that x_0 > x_1 > ... > x_k. | [
"0",
"1",
"2",
"2",
"0",
"2",
"3",
"2",
"0",
"4",
"3",
"2",
"0",
"2",
"5",
"1",
"0",
"2",
"0",
"2",
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"3",
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"2",
"2",
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"0",
"0",
"3",
"2",
"0",
"4",
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"1",
"0",
"2",
"0",
"1",
"0",
"4",
"7",
"1",
"0",
"2",
"2",
"3"
]
| [
"nonn"
]
| 50 | 0 | 3 | [
"A003415",
"A099307",
"A361869"
]
| null | Robert Israel, May 28 2023 | 2023-05-30T07:45:30 | oeisdata/seq/A361/A361869.seq | 05fa2993a2fb5ba0669896c7c6fbf444 |
A361870 | Array read by downward antidiagonals: A(n,k) is the number of nonequivalent 2-colorings of the cells of an n-dimensional hypercube with edges k cells long under action of symmetry. | [
"2",
"2",
"1",
"2",
"2",
"1",
"2",
"3",
"2",
"1",
"2",
"6",
"6",
"2",
"1",
"2",
"10",
"102",
"22",
"2",
"1",
"2",
"20",
"8548",
"2852288",
"402",
"2",
"1",
"2",
"36",
"4211744",
"384307306807269376",
"6296489398464125698304",
"1228158",
"2",
"1"
]
| [
"tabl",
"nonn"
]
| 123 | 0 | 1 | [
"A000616",
"A003992",
"A005418",
"A054247",
"A361870"
]
| null | Natalia L. Skirrow, May 28 2023 | 2025-06-02T16:49:53 | oeisdata/seq/A361/A361870.seq | 588433e7a0883dd26e16df0d63cc8c0d |
A361871 | The smallest order of a non-abelian group with an element of order n. | [
"6",
"6",
"6",
"8",
"10",
"12",
"14",
"16",
"18",
"20",
"22",
"24",
"26",
"28",
"30",
"32",
"34",
"36",
"38",
"40",
"42",
"44",
"46",
"48",
"50",
"52",
"54",
"56",
"58",
"60",
"62",
"64",
"66",
"68",
"70",
"72",
"74",
"76",
"78",
"80",
"82",
"84",
"86",
"88",
"90",
"92",
"94",
"96",
"98",
"100",
"102",
"104",
"106",
"108",
"110",
"112",
"114",
"116",
"118",
"120"
]
| [
"nonn",
"easy"
]
| 15 | 1 | 1 | [
"A051755",
"A103517",
"A163300",
"A361871"
]
| null | Yue Yu, Apr 01 2023 | 2023-08-11T09:53:26 | oeisdata/seq/A361/A361871.seq | 7cf9a7df765083d2c8dca0ba4b4d5d01 |
A361872 | Number of primitive practical numbers (PPNs)(A267124) between successive primorial numbers (A002110) where the PPNs q are in the range A002110(n-1) < q <= A002110(n). | [
"1",
"1",
"3",
"8",
"108",
"1107",
"15788",
"252603",
"5121763"
]
| [
"nonn",
"more"
]
| 13 | 1 | 3 | [
"A002110",
"A267124",
"A361872"
]
| null | Frank M Jackson, Mar 27 2023 | 2023-06-21T06:41:12 | oeisdata/seq/A361/A361872.seq | cc9db6a75d38d3251f6ff83954529c30 |
A361873 | Decimal representation of continued fraction 1, 4, 7, 10, 13, 16, 19, ... (A016777). | [
"1",
"2",
"4",
"1",
"4",
"9",
"5",
"7",
"1",
"9",
"5",
"7",
"9",
"3",
"0",
"3",
"1",
"1",
"3",
"0",
"1",
"9",
"9",
"6",
"6",
"3",
"7",
"6",
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"5",
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"8",
"5",
"8",
"6",
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"1",
"2",
"5",
"3",
"6",
"1",
"3",
"4",
"8",
"6",
"4",
"5",
"4",
"5",
"9",
"6",
"2",
"3",
"3",
"5",
"6",
"7",
"5",
"5",
"9",
"2",
"4",
"2",
"7",
"5",
"6",
"7",
"2",
"9",
"7",
"4",
"4",
"0",
"6",
"3",
"9",
"2",
"6",
"1",
"7",
"6",
"9",
"8",
"7",
"3",
"2",
"4",
"5",
"9",
"7",
"9",
"4",
"5",
"7",
"4",
"9",
"9",
"7",
"4",
"1",
"5",
"5",
"7",
"1",
"2",
"0",
"7",
"6",
"6",
"7"
]
| [
"nonn",
"cons"
]
| 19 | 1 | 2 | [
"A016777",
"A060997",
"A073747",
"A361873"
]
| null | Kelvin Voskuijl, Mar 27 2023 | 2023-04-21T09:23:21 | oeisdata/seq/A361/A361873.seq | 15d936d83f9b3147cbf76575b4aee8e6 |
A361874 | a(n) is the least k such that k, k+1 and 2*k+1 all have exactly n prime factors counted with multiplicity. | [
"2",
"25",
"171",
"1592",
"37975",
"928624",
"8412687",
"106390624",
"2306890624",
"37119730112",
"429122890624",
"23027923554687"
]
| [
"nonn",
"more"
]
| 36 | 1 | 1 | [
"A001222",
"A361874"
]
| null | Zak Seidov and Robert Israel, Mar 27 2023 | 2023-04-13T05:34:59 | oeisdata/seq/A361/A361874.seq | adaebcee1e37bfa047a2034f1dee49cc |
A361875 | Integers of the form k*2^m + 1 where 0 < k <= m and k is odd. | [
"3",
"5",
"9",
"17",
"25",
"33",
"49",
"65",
"97",
"129",
"161",
"193",
"257",
"321",
"385",
"513",
"641",
"769",
"897",
"1025",
"1281",
"1537",
"1793",
"2049",
"2561",
"3073",
"3585",
"4097",
"4609",
"5121",
"6145",
"7169",
"8193",
"9217",
"10241",
"12289",
"14337",
"16385",
"18433",
"20481",
"22529",
"24577",
"28673",
"32769",
"36865",
"40961",
"45057",
"49153",
"57345",
"65537",
"73729",
"81921"
]
| [
"nonn",
"easy"
]
| 9 | 1 | 1 | [
"A361180",
"A361875"
]
| null | Lorenzo Sauras Altuzarra, Mar 27 2023 | 2023-03-28T03:46:59 | oeisdata/seq/A361/A361875.seq | 3e7b0a7d9bd1dccbce3bc98b762ec953 |
A361876 | Dispersion of the odd primes: a rectangular array read by downward antidiagonals. | [
"1",
"3",
"2",
"7",
"5",
"4",
"19",
"13",
"11",
"6",
"71",
"43",
"37",
"17",
"8",
"359",
"193",
"163",
"61",
"23",
"9",
"2423",
"1181",
"971",
"293",
"89",
"29",
"10",
"21589",
"9547",
"7669",
"1931",
"463",
"113",
"31",
"12",
"244481",
"99523",
"78101",
"16699",
"3301",
"619",
"131",
"41",
"14",
"3413801",
"1292831",
"994559",
"184463",
"30593",
"4583",
"743"
]
| [
"nonn",
"tabl"
]
| 16 | 1 | 2 | [
"A000040",
"A065091",
"A114537",
"A114577",
"A361876"
]
| null | Clark Kimberling, Apr 08 2023 | 2023-05-20T15:47:14 | oeisdata/seq/A361/A361876.seq | 59ed66d1295f5ba8fd4e9af0e5684f3f |
A361877 | a(n) = binomial(2*n, n) * binomial(2*n - 1, n). | [
"1",
"2",
"18",
"200",
"2450",
"31752",
"426888",
"5889312",
"82818450",
"1181952200",
"17067389768",
"248817153312",
"3656229836168",
"54086240180000",
"804670797780000",
"12030722505475200",
"180648817621276050",
"2722858995011344200",
"41179040356653045000",
"624643836545795220000",
"9500832753861545296200"
]
| [
"nonn"
]
| 18 | 0 | 2 | [
"A000984",
"A001700",
"A002894",
"A361877"
]
| null | Peter Luschny, Mar 27 2023 | 2023-03-29T04:57:17 | oeisdata/seq/A361/A361877.seq | 70eb17b67c3ecb24868459f6051db750 |
A361878 | a(n) = hypergeom([-n, -n, n, n + 1], [1, 1, 1], 1). | [
"1",
"3",
"43",
"849",
"19371",
"480503",
"12587065",
"342634365",
"9596641195",
"274766987955",
"8005895472543",
"236615835243329",
"7076435929811769",
"213755697648537567",
"6512143129366530853",
"199862758637494411349",
"6173557491107989995435",
"191779157650960532459435",
"5987596175475052883532955"
]
| [
"nonn"
]
| 14 | 0 | 2 | [
"A005259",
"A361712",
"A361878"
]
| null | Peter Luschny, Mar 27 2023 | 2023-03-29T10:30:39 | oeisdata/seq/A361/A361878.seq | 1ae9f3bd4b2a3dd8bb97c3fd4cf991e5 |
A361879 | Sum of even middle divisors of n, where "middle divisor" means a divisor in the half-open interval [sqrt(n/2), sqrt(n*2)). | [
"0",
"0",
"0",
"2",
"0",
"2",
"0",
"2",
"0",
"0",
"0",
"4",
"0",
"0",
"0",
"4",
"0",
"0",
"0",
"4",
"0",
"0",
"0",
"10",
"0",
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"4",
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"16",
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"18",
"0",
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"12",
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"0",
"0",
"8",
"0",
"10",
"0",
"0",
"0",
"0",
"0",
"20"
]
| [
"nonn",
"look"
]
| 23 | 1 | 4 | [
"A000203",
"A067742",
"A071090",
"A071562",
"A146076",
"A299761",
"A299777",
"A303297",
"A358434",
"A361561",
"A361824",
"A361879"
]
| null | Omar E. Pol, Mar 27 2023 | 2024-03-18T16:52:21 | oeisdata/seq/A361/A361879.seq | d5237f5817a917f2c6c43ec3c4e477ab |
A361880 | Expansion of 1/(1 - 9*x/(1 - x)^2)^(1/3). | [
"1",
"3",
"24",
"207",
"1893",
"17952",
"174402",
"1723494",
"17250000",
"174354822",
"1776119970",
"18208500000",
"187659221409",
"1942674634371",
"20187543581880",
"210472842939975",
"2200677521078253",
"23068297001178240",
"242353695578011416",
"2551260130246575048",
"26905595698893121728"
]
| [
"nonn"
]
| 17 | 0 | 2 | [
"A004987",
"A361375",
"A361843",
"A361844",
"A361845",
"A361880",
"A361895",
"A361896"
]
| null | Seiichi Manyama, Mar 28 2023 | 2023-03-29T12:09:13 | oeisdata/seq/A361/A361880.seq | a89e85dc5a07b7992884b559d40a2632 |
A361881 | Expansion of 1/(1 - 9*x/(1 + x))^(1/3). | [
"1",
"3",
"15",
"93",
"618",
"4278",
"30390",
"219810",
"1611105",
"11929395",
"89045079",
"669018837",
"5053759440",
"38350056072",
"292147584072",
"2233020788184",
"17117923408746",
"131560216858110",
"1013413369611606",
"7822237588031586",
"60487791859818348",
"468511159492134516"
]
| [
"nonn"
]
| 21 | 0 | 2 | [
"A004987",
"A180400",
"A361375",
"A361841",
"A361842",
"A361881",
"A361882"
]
| null | Seiichi Manyama, Mar 28 2023 | 2025-04-15T14:31:02 | oeisdata/seq/A361/A361881.seq | cf3ab432eb965a22acfa2b0c2e0a86bd |
A361882 | Expansion of 1/(1 - 9*x/(1 + x)^2)^(1/3). | [
"1",
"3",
"12",
"63",
"357",
"2112",
"12834",
"79446",
"498504",
"3160566",
"20202882",
"129998400",
"841084065",
"5466859635",
"35672889180",
"233564188167",
"1533744021741",
"10097724827904",
"66633102118296",
"440600483618184",
"2918753549183712",
"19367330685385032",
"128704927930928088"
]
| [
"nonn"
]
| 18 | 0 | 2 | [
"A004987",
"A180400",
"A361841",
"A361842",
"A361880",
"A361881",
"A361882"
]
| null | Seiichi Manyama, Mar 28 2023 | 2023-03-30T09:39:14 | oeisdata/seq/A361/A361882.seq | 8f058d43582429fc630af80c9b7bd4c7 |
A361883 | a(n) = (1/n) * Sum_{k = 0..n} (n+2*k) * binomial(n+k-1,k)^3. | [
"4",
"98",
"3550",
"150722",
"6993504",
"343542572",
"17560824138",
"924397069250",
"49770307114528",
"2728028537409848",
"151717661909940724",
"8539838104822762220",
"485583352521437530000",
"27850592121190001279928",
"1609345458428168657866050"
]
| [
"nonn",
"easy"
]
| 18 | 1 | 1 | [
"A000984",
"A002894",
"A361883",
"A361884",
"A361885",
"A361886"
]
| null | Peter Bala, Mar 28 2023 | 2023-03-30T05:08:15 | oeisdata/seq/A361/A361883.seq | 89d3cbadf4f264919f01199b603f1a8d |
A361884 | a(n) = (1/n) * Sum_{k = 0..n} (-1)^(n+k) * (n + 2*k) * binomial(n+k-1,k)^3. | [
"2",
"66",
"2540",
"110530",
"5197752",
"257490156",
"13238524728",
"699822144450",
"37800431926400",
"2077184897317816",
"115757876008359312",
"6526739641107783916",
"371641758587326581200",
"21341134886976332825400",
"1234474507620634579565040"
]
| [
"nonn",
"easy"
]
| 19 | 1 | 1 | [
"A000984",
"A002894",
"A361883",
"A361884",
"A361885",
"A361886"
]
| null | Peter Bala, Mar 28 2023 | 2023-03-30T05:08:24 | oeisdata/seq/A361/A361884.seq | 0467e089d6124d1fe208a6283e57fdc7 |
A361885 | a(n) = (1/n) * Sum_{k = 0..2*n} (n+2*k) * binomial(n+k-1,k)^3. | [
"9",
"979",
"165816",
"33372819",
"7380882509",
"1732912534168",
"424032181044264",
"106952563532680339",
"27609695174536836075",
"7259294757681340436979",
"1937215339689731617386000",
"523352118643145676922317336",
"142854011885066484369862826496",
"39337931825265398967484384872560"
]
| [
"nonn",
"easy"
]
| 18 | 0 | 1 | [
"A005809",
"A188662",
"A361883",
"A361884",
"A361885",
"A361886"
]
| null | Peter Bala, Mar 28 2023 | 2023-03-30T05:09:01 | oeisdata/seq/A361/A361885.seq | e0cdc6ed49be79bb6f8447863e4609ee |
A361886 | a(n) = (1/n) * Sum_{k = 0..2*n} (-1)^k * (n+2*k) * binomial(n+k-1,k)^3. | [
"3",
"435",
"79464",
"16551315",
"3732732003",
"887492378136",
"219081875199120",
"55618197870142611",
"14429522546341842225",
"3808899907812064500435",
"1019705941257612879722400",
"276212555234100323977483800",
"75563424471884688135891640224"
]
| [
"nonn",
"easy"
]
| 16 | 1 | 1 | [
"A005809",
"A361883",
"A361884",
"A361885",
"A361886"
]
| null | Peter Bala, Mar 28 2023 | 2023-03-30T05:08:35 | oeisdata/seq/A361/A361886.seq | 51d8133b53df8dd161c4231fdd9707a2 |
A361887 | a(n) = S(5,n), where S(r,n) = Sum_{k = 0..floor(n/2)} ( binomial(n,k) - binomial(n,k-1) )^r. | [
"1",
"1",
"2",
"33",
"276",
"4150",
"65300",
"1083425",
"20965000",
"399876876",
"8461219032",
"178642861782",
"4010820554664",
"90684123972156",
"2130950905378152",
"50560833176021025",
"1231721051614138800",
"30294218438009039800",
"759645100717216142000",
"19213764100954274616908",
"493269287121905287769776"
]
| [
"nonn",
"easy"
]
| 28 | 0 | 3 | [
"A003161",
"A003162",
"A008315",
"A120730",
"A183069",
"A357824",
"A361887",
"A361888",
"A361889",
"A361890",
"A361891",
"A361892"
]
| null | Peter Bala, Mar 28 2023 | 2025-03-25T15:09:47 | oeisdata/seq/A361/A361887.seq | d9c0d1e82a3a765075a369fed36e4691 |
A361888 | a(n) = S(5,n)/S(1,n), where S(r,n) = Sum_{k = 0..floor(n/2)} ( binomial(n,k) - binomial(n,k-1) )^r. | [
"1",
"1",
"1",
"11",
"46",
"415",
"3265",
"30955",
"299500",
"3173626",
"33576266",
"386672861",
"4340714886",
"52846226091",
"620906440961",
"7857161332715",
"95704821415240",
"1246162831674580",
"15624127945644100",
"207990691516965886",
"2669841775757784796",
"36176886727828945286",
"473508685502539872586"
]
| [
"nonn",
"easy"
]
| 20 | 0 | 4 | [
"A003161",
"A003162",
"A183069",
"A361887",
"A361888",
"A361889",
"A361890",
"A361891",
"A361892"
]
| null | Peter Bala, Mar 29 2023 | 2025-03-24T10:19:02 | oeisdata/seq/A361/A361888.seq | 5277750ab0437782b40d14d63872a2ae |
A361889 | a(n) = S(5,2*n-1)/S(1,2*n-1), where S(r,n) = Sum_{k = 0..floor(n/2)} ( binomial(n,k) - binomial(n,k-1) )^r. | [
"1",
"11",
"415",
"30955",
"3173626",
"386672861",
"52846226091",
"7857161332715",
"1246162831674580",
"207990691516965886",
"36176886727828945286",
"6510211391453319830461",
"1205449991704260042021490",
"228686327051301858363357905",
"44299708036441260810228742915",
"8738765548899621077157770551275"
]
| [
"nonn",
"easy"
]
| 25 | 1 | 2 | [
"A003161",
"A003162",
"A183069",
"A361887",
"A361888",
"A361889",
"A361890",
"A361891",
"A361892",
"A382394"
]
| null | Peter Bala, Mar 29 2023 | 2025-03-25T15:14:07 | oeisdata/seq/A361/A361889.seq | 0b5a459293a69aa363c46d2bab4df8b1 |
A361890 | a(n) = S(7,n), where S(r,n) = Sum_{k = 0..floor(n/2)} ( binomial(n,k) - binomial(n,k-1) )^r. | [
"1",
"1",
"2",
"129",
"2316",
"94510",
"4939220",
"211106945",
"14879165560",
"828070125876",
"61472962084968",
"4223017425122958",
"325536754765395096",
"25399546083773839692",
"2059386837863675003112",
"173281152533121109073025",
"14789443838781868027714800",
"1307994690673355979749969800"
]
| [
"nonn",
"easy"
]
| 25 | 0 | 3 | [
"A003161",
"A003162",
"A008315",
"A120730",
"A183069",
"A357824",
"A361887",
"A361888",
"A361889",
"A361890",
"A361891",
"A361892",
"A382394"
]
| null | Peter Bala, Mar 30 2023 | 2025-03-25T12:57:51 | oeisdata/seq/A361/A361890.seq | 5ea3a508889e368985bffef1823ca71b |
A361891 | a(n) = S(7,n)/S(1,n), where S(r,n) = Sum_{k = 0..floor(n/2)} ( binomial(n,k) - binomial(n,k-1) )^r. | [
"1",
"1",
"1",
"43",
"386",
"9451",
"246961",
"6031627",
"212559508",
"6571985126",
"243940325734",
"9140730357409",
"352312505157354",
"14801600281919487",
"600054439936968241",
"26927918031565051915",
"1149140935414286560040",
"53804800109969394477580",
"2401141625752684697505820"
]
| [
"nonn",
"easy"
]
| 24 | 0 | 4 | [
"A003161",
"A003162",
"A183069",
"A361887",
"A361888",
"A361889",
"A361890",
"A361891",
"A361892"
]
| null | Peter Bala, Mar 30 2023 | 2025-03-25T13:06:17 | oeisdata/seq/A361/A361891.seq | f538c750eb3874ad36a247090c5d8cc0 |
A361892 | a(n) = S(7,2*n-1)/S(1,2*n-1), where S(r,n) = Sum_{k = 0..floor(n/2)} ( binomial(n,k) - binomial(n,k-1) )^r. | [
"1",
"43",
"9451",
"6031627",
"6571985126",
"9140730357409",
"14801600281919487",
"26927918031565051915",
"53804800109969394477580",
"116002825041515533807200418",
"266118189111094898593879923346",
"642598035707739308769581970619393"
]
| [
"nonn",
"easy"
]
| 23 | 1 | 2 | [
"A003161",
"A003162",
"A183069",
"A361887",
"A361888",
"A361889",
"A361890",
"A361891",
"A361892",
"A382394"
]
| null | Peter Bala, Mar 30 2023 | 2025-03-25T17:56:10 | oeisdata/seq/A361/A361892.seq | e10ee4348f3165b4bc9206286a210e2d |
A361893 | Triangle read by rows. T(n, k) = n! * binomial(n - 1, k - 1) / (n - k)!. | [
"1",
"0",
"1",
"0",
"2",
"2",
"0",
"3",
"12",
"6",
"0",
"4",
"36",
"72",
"24",
"0",
"5",
"80",
"360",
"480",
"120",
"0",
"6",
"150",
"1200",
"3600",
"3600",
"720",
"0",
"7",
"252",
"3150",
"16800",
"37800",
"30240",
"5040",
"0",
"8",
"392",
"7056",
"58800",
"235200",
"423360",
"282240",
"40320",
"0",
"9",
"576",
"14112",
"169344",
"1058400",
"3386880",
"5080320",
"2903040",
"362880"
]
| [
"nonn",
"tabl"
]
| 10 | 0 | 5 | [
"A000142",
"A011379",
"A021010",
"A052852",
"A055303",
"A062119",
"A144084",
"A187535",
"A317365",
"A361893"
]
| null | Peter Luschny, Mar 28 2023 | 2023-07-30T17:45:42 | oeisdata/seq/A361/A361893.seq | a0ae3e31bc08feebef25264048c92e30 |
A361894 | Triangle read by rows. T(n, k) is the number of Fibonacci meanders with a central angle of 360/m degrees that make m*k left turns and whose length is m*n, where m = 2. | [
"1",
"2",
"1",
"3",
"2",
"1",
"4",
"6",
"2",
"1",
"5",
"16",
"6",
"2",
"1",
"6",
"35",
"20",
"6",
"2",
"1",
"7",
"66",
"65",
"20",
"6",
"2",
"1",
"8",
"112",
"186",
"70",
"20",
"6",
"2",
"1",
"9",
"176",
"462",
"246",
"70",
"20",
"6",
"2",
"1",
"10",
"261",
"1016",
"812",
"252",
"70",
"20",
"6",
"2",
"1",
"11",
"370",
"2025",
"2416",
"917",
"252",
"70",
"20",
"6",
"2",
"1",
"12",
"506",
"3730",
"6435",
"3256",
"924",
"252",
"70",
"20",
"6",
"2",
"1"
]
| [
"nonn",
"tabl"
]
| 9 | 1 | 2 | [
"A000984",
"A103371",
"A132812",
"A201631",
"A361574",
"A361681",
"A361894"
]
| null | Peter Luschny, Mar 31 2023 | 2023-03-31T07:00:24 | oeisdata/seq/A361/A361894.seq | 00ce849e71c2c820d1cc249f7c878277 |
A361895 | Expansion of 1/(1 - 9*x/(1 - x)^3)^(1/3). | [
"1",
"3",
"27",
"252",
"2487",
"25434",
"266364",
"2837082",
"30601233",
"333302931",
"3658565127",
"40413860334",
"448778693844",
"5005642415907",
"56044616215041",
"629552293867800",
"7092072533703567",
"80095810435943526",
"906605837653876254",
"10282430320166723448",
"116829834042508121682"
]
| [
"nonn",
"changed"
]
| 19 | 0 | 2 | [
"A004987",
"A361375",
"A361843",
"A361844",
"A361845",
"A361880",
"A361895",
"A361896"
]
| null | Seiichi Manyama, Mar 28 2023 | 2025-07-11T02:57:33 | oeisdata/seq/A361/A361895.seq | 343a1a65b03c2c67ef31d21cd92700ec |
A361896 | Expansion of 1/(1 - 9*x/(1 - x)^4)^(1/3). | [
"1",
"3",
"30",
"300",
"3165",
"34584",
"386880",
"4400928",
"50692266",
"589584042",
"6910397886",
"81507086634",
"966408021984",
"11509174498254",
"137584249375308",
"1650109151463594",
"19847075122106145",
"239316542492974317",
"2892135259684291248",
"35021199836282568456",
"424837125616822551264"
]
| [
"nonn"
]
| 11 | 0 | 2 | [
"A004987",
"A361375",
"A361843",
"A361844",
"A361845",
"A361880",
"A361895",
"A361896"
]
| null | Seiichi Manyama, Mar 28 2023 | 2023-03-30T05:16:27 | oeisdata/seq/A361/A361896.seq | 66758601ed5ac63488377ac0b9ed1a8c |
A361897 | Leading terms of the rows of the array in A362450; or, Gilbreath transform of tau (A000005). | [
"1",
"1",
"1",
"0",
"1",
"1",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"1",
"1",
"1",
"0",
"1",
"1",
"1",
"0",
"1",
"1",
"1",
"0",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"1",
"1",
"0",
"1",
"1",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"1",
"1",
"1",
"0",
"1",
"1",
"1",
"0",
"0"
]
| [
"easy",
"nonn"
]
| 64 | 1 | 1 | [
"A000005",
"A001659",
"A036262",
"A051950",
"A361897",
"A362450",
"A362451",
"A362452",
"A362453",
"A362454"
]
| null | Wayman Eduardo Luy and Robert G. Wilson v, Mar 28 2023 | 2023-09-27T15:02:58 | oeisdata/seq/A361/A361897.seq | 470855468263374d1ef89a3e752b30ee |
A361898 | A set of 13 primes that form a covering set for a Sierpiński (or Riesel) number. | [
"3",
"5",
"7",
"11",
"31",
"73",
"97",
"151",
"241",
"631",
"673",
"1321",
"23311"
]
| [
"nonn",
"fini",
"full"
]
| 10 | 1 | 1 | [
"A076336",
"A101036",
"A291360",
"A296924",
"A361898",
"A361899",
"A361900"
]
| null | Arkadiusz Wesolowski, Mar 28 2023 | 2023-04-22T19:30:06 | oeisdata/seq/A361/A361898.seq | 44bd160c65ccac10d603fd10e813154c |
A361899 | a(n) = 3*(6858365065530*(2^45 - 1)*n + 153479820268467961)^2. | [
"70668165688923686196507258250492563",
"174687593550891106640307045856561008882907291372256643",
"698750373759134872171732581703201135992894186495330123",
"1572188340624731296664944773228844067526467943619713003"
]
| [
"nonn",
"easy"
]
| 33 | 0 | 1 | [
"A000215",
"A229852",
"A351332",
"A361898",
"A361899",
"A361900"
]
| null | Arkadiusz Wesolowski, Mar 28 2023 | 2023-10-31T11:21:17 | oeisdata/seq/A361/A361899.seq | ad062f226af902342f9275c59bd102ac |
A361900 | Numbers k such that 3*153479820268467961^2*2^k + 1 is prime. | [
"600",
"810",
"1074",
"7974",
"22290",
"43086"
]
| [
"nonn",
"more"
]
| 12 | 1 | 1 | [
"A000215",
"A229852",
"A351332",
"A361898",
"A361899",
"A361900"
]
| null | Arkadiusz Wesolowski, Mar 28 2023 | 2023-04-22T19:30:10 | oeisdata/seq/A361/A361900.seq | 82de136057285dee247fc160838b7d96 |
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