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666,262,453B
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⌀ | timestamp
timestamp[us]date 1999-12-11 03:00:00
2025-07-19 00:40:46
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|---|---|---|---|---|---|---|---|---|---|---|---|---|
A364501 | a(n) = n / gcd(n, A005940(n)). | [
"1",
"1",
"1",
"1",
"1",
"1",
"7",
"1",
"9",
"1",
"11",
"1",
"13",
"7",
"5",
"1",
"17",
"9",
"19",
"1",
"3",
"11",
"23",
"1",
"25",
"13",
"9",
"7",
"29",
"5",
"31",
"1",
"33",
"17",
"35",
"9",
"37",
"19",
"13",
"1",
"41",
"3",
"43",
"11",
"9",
"23",
"47",
"1",
"49",
"25",
"17",
"13",
"53",
"9",
"11",
"7",
"57",
"29",
"59",
"5",
"61",
"31",
"7",
"1",
"65",
"33",
"67",
"17",
"69",
"35",
"71",
"9",
"73",
"37",
"5",
"19",
"7",
"13",
"79",
"1",
"81",
"41",
"83",
"3",
"17",
"43",
"29",
"11",
"89"
]
| [
"nonn",
"frac"
]
| 16 | 1 | 7 | [
"A005940",
"A364491",
"A364500",
"A364501",
"A364502",
"A364544"
]
| null | Antti Karttunen, Jul 28 2023 | 2025-06-21T01:58:40 | oeisdata/seq/A364/A364501.seq | 84029ca4a5a59d8569d3e16fb5cd3586 |
A364502 | a(n) = A005940(n) / gcd(n, A005940(n)). | [
"1",
"1",
"1",
"1",
"1",
"1",
"9",
"1",
"7",
"1",
"15",
"1",
"25",
"9",
"9",
"1",
"11",
"7",
"21",
"1",
"5",
"15",
"45",
"1",
"49",
"25",
"25",
"9",
"125",
"9",
"81",
"1",
"13",
"11",
"33",
"7",
"55",
"21",
"21",
"1",
"77",
"5",
"105",
"15",
"35",
"45",
"135",
"1",
"121",
"49",
"49",
"25",
"245",
"25",
"45",
"9",
"343",
"125",
"375",
"9",
"625",
"81",
"27",
"1",
"17",
"13",
"39",
"11",
"65",
"33",
"99",
"7",
"91",
"55",
"11",
"21",
"25",
"21",
"189",
"1",
"143",
"77",
"231",
"5"
]
| [
"nonn",
"frac"
]
| 14 | 1 | 7 | [
"A005940",
"A364492",
"A364500",
"A364501",
"A364502",
"A364546"
]
| null | Antti Karttunen, Jul 28 2023 | 2023-07-28T15:53:17 | oeisdata/seq/A364/A364502.seq | cd703147e674f0b87260f4e35faf3dfa |
A364503 | Sprague-Grundy values for Heat-Charge Toggle on paths from A364489 where paths with an even number of vertices are odious, or paths with an odd number of vertices are evil. | [
"0",
"2",
"1",
"3",
"2",
"2",
"3",
"4",
"5",
"3",
"7",
"3",
"4",
"4",
"6",
"5",
"5",
"6",
"4",
"7",
"6",
"3",
"10",
"4",
"16",
"18",
"16",
"32",
"32",
"32",
"32",
"32",
"36",
"32",
"36",
"32",
"33",
"36",
"32",
"33",
"32",
"32",
"32",
"35",
"33",
"34",
"34",
"36",
"35",
"33",
"33",
"32",
"36",
"32",
"33",
"32",
"36",
"34",
"34",
"37",
"37",
"34"
]
| [
"nonn",
"more"
]
| 11 | 1 | 2 | [
"A000069",
"A001969",
"A363934",
"A364489",
"A364503"
]
| null | Jean-Pierre Appel, Patrick G. Cesarz, Djeneba Diop, Eugene Fiorini, Nathan Hurtig, Andrew Woldar, Jul 26 2023 | 2023-09-03T11:17:39 | oeisdata/seq/A364/A364503.seq | 4acbb047d0c8b7034a5da2bf3a8a3281 |
A364504 | Number of tilings of an n X n square using dominoes and trominoes (of any shape). | [
"1",
"0",
"2",
"30",
"1352",
"226922",
"128441094",
"267855152858",
"1990875917805852",
"52918918728713551244",
"5046393600526600826576990",
"1722423352379200292770200349728",
"2106175531602971710801901685263906946",
"9224774497259881798661234516031754156588512",
"144713995908210595144464778124853904625705818728754"
]
| [
"nonn"
]
| 31 | 0 | 3 | [
"A219874",
"A219994",
"A364457",
"A364504"
]
| null | Alois P. Heinz, Jul 26 2023 | 2025-04-14T15:05:20 | oeisdata/seq/A364/A364504.seq | dac759111e64106774d73e7d15cdecc9 |
A364505 | T(n, k) = number of k-dimensional faces in the BME polytope on n species, 0 <= k <= binomial(n, 2) - n. | [
"3",
"3",
"1",
"15",
"105",
"250",
"210",
"52",
"1",
"105",
"5460",
"105945",
"635265",
"1715455",
"2373345",
"1742445",
"640140",
"90262",
"1"
]
| [
"nonn",
"tabf",
"more"
]
| 19 | 4 | 1 | [
"A001147",
"A364441",
"A364505"
]
| null | Harry Richman, Jul 26 2023 | 2023-07-29T02:59:38 | oeisdata/seq/A364/A364505.seq | 7e56a076da8d4feabfa17c5f62d2328e |
A364506 | Square array read by ascending antidiagonals: T(n,k) = (2*k)!/k! * ( (2*n*k)! * ((2*n+1)*k)! )/( (n*k)!^2 * ((n+1)*k)!^2 ). | [
"1",
"1",
"2",
"1",
"6",
"6",
"1",
"40",
"90",
"20",
"1",
"350",
"5880",
"1680",
"70",
"1",
"3528",
"594594",
"1101100",
"34650",
"252",
"1",
"38808",
"75088728",
"1299170600",
"229265400",
"756756",
"924",
"1",
"453024",
"10861066216",
"2066315135040",
"3164045050530",
"50678855040",
"17153136",
"3432",
"1",
"5521230",
"1721929279200",
"3943172216808000"
]
| [
"nonn",
"tabl",
"easy"
]
| 21 | 0 | 3 | [
"A000984",
"A006480",
"A364303",
"A364506",
"A364507",
"A364508",
"A364509",
"A365025"
]
| null | Peter Bala, Jul 27 2023 | 2023-08-24T07:48:50 | oeisdata/seq/A364/A364506.seq | cbaf41499cba643e01629f917d1c0736 |
A364507 | a(n) = (5*n)!*(4*n)! / ((3*n)!^2 * (2*n)! * n!). | [
"1",
"40",
"5880",
"1101100",
"229265400",
"50678855040",
"11641642112100",
"2746924727976000",
"661097260785195000",
"161538994454795003200",
"39949572934939198410880",
"9976687616280042928424700",
"2511716999955421326631644900",
"636662322699394050738883008000"
]
| [
"nonn",
"easy"
]
| 25 | 0 | 2 | [
"A001450",
"A005810",
"A006480",
"A364506",
"A364507",
"A364508"
]
| null | Peter Bala, Jul 27 2023 | 2023-10-07T06:58:36 | oeisdata/seq/A364/A364507.seq | fb2035ab5b276b4f498d76966f883169 |
A364508 | a(n) = (7*n)!*(6*n)!*(2*n)! / ((4*n)!^2 * (3*n)!^2 * n!). | [
"1",
"350",
"594594",
"1299170600",
"3164045050530",
"8188909171581600",
"22035578229399735000",
"60924423899585957558848",
"171839010049825493742617250",
"492149504510899056782561257748",
"1426695143534668869395862598229344",
"4176678405144148418744441910948978000"
]
| [
"nonn",
"easy"
]
| 18 | 0 | 2 | [
"A006480",
"A364506",
"A364507",
"A364508"
]
| null | Peter Bala, Jul 27 2023 | 2024-10-13T07:07:47 | oeisdata/seq/A364/A364508.seq | e7d8d631a5165d3d10faeb755a2557ad |
A364509 | Square array read by ascending antidiagonals: T(n,k) = (2*k)!/k!^2 * ( (2*n*k)! * ((n + 2)*k)! )/( (n*k)! * ((n + 1)*k)!^2 ) for n, k > = 0. | [
"1",
"1",
"4",
"1",
"6",
"36",
"1",
"16",
"90",
"400",
"1",
"50",
"784",
"1680",
"4900",
"1",
"168",
"8910",
"48400",
"34650",
"63504",
"1",
"588",
"113256",
"2011100",
"3312400",
"756756",
"853776",
"1",
"2112",
"1528436",
"96993024",
"503909070",
"240374016",
"17153136",
"11778624",
"1",
"7722",
"21395520",
"5056527000",
"92279796840",
"133954543800",
"18116083216"
]
| [
"nonn",
"tabl",
"easy"
]
| 30 | 0 | 3 | [
"A002894",
"A006480",
"A364303",
"A364506",
"A364509",
"A364510",
"A364511"
]
| null | Peter Bala, Jul 28 2023 | 2024-10-13T07:07:39 | oeisdata/seq/A364/A364509.seq | 44f085c0520b5f9858b34ee366772b5b |
A364510 | a(n) = binomial(4*n, n)^2. | [
"1",
"16",
"784",
"48400",
"3312400",
"240374016",
"18116083216",
"1401950721600",
"110634634890000",
"8862957169158400",
"718528370729238784",
"58818762721626513424",
"4853704694918904043024",
"403242220875862752160000",
"33694913171561404510440000",
"2829611125043050701300998400"
]
| [
"nonn",
"easy"
]
| 18 | 0 | 2 | [
"A002894",
"A005810",
"A364506",
"A364509",
"A364510",
"A364511",
"A364512"
]
| null | Peter Bala, Jul 28 2023 | 2023-10-06T10:41:34 | oeisdata/seq/A364/A364510.seq | 148ae910c05483ece6780a369837a732 |
A364511 | a(n) = (6*n)!*(5*n)!*(2*n)! / ((4*n)!^2 * (3*n)! * n!^2). | [
"1",
"50",
"8910",
"2011100",
"503909070",
"133954543800",
"36992598142500",
"10491379251679040",
"3034472729231379150",
"891028813210575018980",
"264787855164104281785160",
"79455812929030151249454000",
"24035311050907120054564683300",
"7320107028326385998504601648000"
]
| [
"nonn",
"easy"
]
| 30 | 0 | 2 | [
"A006480",
"A364509",
"A364510",
"A364511",
"A364512"
]
| null | Peter Bala, Jul 28 2023 | 2024-10-13T07:07:43 | oeisdata/seq/A364/A364511.seq | b42006f694713b14271645aaf6c2c21e |
A364512 | a(n) = (6*n)!^2/((5*n)! * (3*n)!^2 * n!). | [
"1",
"120",
"60984",
"39673920",
"28734361656",
"22105177305120",
"17676475936257600",
"14521297485225136320",
"12168600808728479801400",
"10353699767677668805341120",
"8916443122582617618026013984",
"7754263877699070505609688536320",
"6798445963232542402250454047721024"
]
| [
"nonn",
"easy"
]
| 19 | 0 | 2 | [
"A006480",
"A364507",
"A364508",
"A364510",
"A364511",
"A364512"
]
| null | Peter Bala, Jul 29 2023 | 2024-10-13T07:08:59 | oeisdata/seq/A364/A364512.seq | ae5961a89057240f0f4a34187c3a8014 |
A364513 | Square array read by ascending antidiagonals: T(n,k) = [x^k] (1 - x)^(2*k) * Legendre_P(n*k-1, (1 + x)/(1 - x)) for n, k >= 0. | [
"1",
"1",
"-2",
"1",
"-2",
"6",
"1",
"0",
"0",
"-20",
"1",
"4",
"0",
"16",
"70",
"1",
"10",
"126",
"0",
"0",
"-252",
"1",
"18",
"594",
"4900",
"0",
"-252",
"924",
"1",
"28",
"1716",
"44200",
"209950",
"0",
"0",
"-3432",
"1",
"40",
"3900",
"205920",
"3640210",
"9513504",
"0",
"4800",
"12870",
"1",
"54",
"7650",
"685216",
"27386100",
"317678760",
"447103440",
"0",
"0",
"-48620",
"1",
"70",
"13566",
"1847560",
"133501500",
"3861534768",
"28782923400",
"21558808128",
"0",
"-100100",
"184756"
]
| [
"sign",
"tabl",
"easy"
]
| 13 | 0 | 3 | [
"A000984",
"A276098",
"A295431",
"A352651",
"A352652",
"A364303",
"A364506",
"A364509",
"A364513",
"A364514",
"A364515",
"A364516",
"A364517"
]
| null | Peter Bala, Jul 31 2023 | 2023-08-06T16:47:30 | oeisdata/seq/A364/A364513.seq | 5b098f9486961a42deec2985d1d97498 |
A364514 | a(0) = 1 and a(n) = [x^n] (1 - x)^(2*n) * Legendre_P(n-1, (1 + x)/(1 - x)) for n >= 1. | [
"1",
"-2",
"0",
"16",
"0",
"-252",
"0",
"4800",
"0",
"-100100",
"0",
"2201472",
"0",
"-50139936",
"0",
"1170614016",
"0",
"-27839740500",
"0",
"671626956000",
"0",
"-16388657193480",
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"403645030064640",
"0",
"-10018806017062752",
"0",
"250305475771456000",
"0",
"-6288594802355952000",
"0",
"158759294846918261760"
]
| [
"sign",
"easy"
]
| 17 | 0 | 2 | [
"A364513",
"A364514"
]
| null | Peter Bala, Aug 02 2023 | 2023-10-05T15:20:27 | oeisdata/seq/A364/A364514.seq | db126d36cc1a783104611b8ba9b51464 |
A364515 | a(n) = (1/2) * (6*n)!*(2*n)!^2/((3*n)!*(4*n)!*n!^3) for n >= 1 with a(0) = 1. | [
"1",
"10",
"594",
"44200",
"3640210",
"317678760",
"28782923400",
"2677247862432",
"253909524661650",
"24443479528347880",
"2381221777637046344",
"234220654553738055840",
"23223217841360039079304",
"2318164676869886054980000",
"232736024465276636260692000",
"23482287467017571303962819200"
]
| [
"nonn",
"easy"
]
| 15 | 0 | 2 | [
"A364513",
"A364515"
]
| null | Peter Bala, Aug 01 2023 | 2023-10-05T15:20:38 | oeisdata/seq/A364/A364515.seq | e6cbf7bcfb249727bbdf230bbba70605 |
A364516 | a(n) = (2/3) * (8*n)!*(3*n)!^2/((6*n)!*(4*n)!*(2*n)!*n!^2) for n >= 1, with a(0) = 1. | [
"1",
"28",
"3900",
"685216",
"133501500",
"27583083528",
"5919115212192",
"1304298034300800",
"293086491979934268",
"66857471357130883000",
"15434267149448839091400",
"3597756971630997935635200",
"845406187463509505329860000",
"200002748013094535687584437696"
]
| [
"nonn",
"easy"
]
| 14 | 0 | 2 | [
"A364513",
"A364516"
]
| null | Peter Bala, Aug 02 2023 | 2023-10-05T08:37:56 | oeisdata/seq/A364/A364516.seq | df6a7978f7325299bb74a18e8ecdf6ea |
A364517 | a(n) = (5/7) * (9*n)!*(7*n/2)!^2/((9*n/2)!*(7*n)!*(5*n/2)!*n!^2) for n >= 1, with a(0) = 1. | [
"1",
"40",
"7650",
"1847560",
"494944450",
"140625140040",
"41500392000480",
"12576565436409000",
"3886690320522202050",
"1219380045859742166400",
"387154587452271772676400",
"124120231850529022319265600",
"40113527971798583517288018400",
"13052024252899352166622940568000"
]
| [
"nonn",
"easy"
]
| 20 | 0 | 2 | [
"A364513",
"A364517"
]
| null | Peter Bala, Aug 03 2023 | 2023-10-05T08:37:26 | oeisdata/seq/A364/A364517.seq | 1488806151ab73a39fa686e857f04895 |
A364518 | Square array read by ascending antidiagonals: T(n,k) = [x^(2*k)] ( (1 + x)^(n+2)/(1 - x)^(n-2) )^k for n, k >= 0. | [
"1",
"1",
"-2",
"1",
"0",
"6",
"1",
"6",
"-10",
"-20",
"1",
"16",
"70",
"0",
"70",
"1",
"30",
"630",
"924",
"198",
"-252",
"1",
"48",
"2310",
"28672",
"12870",
"0",
"924",
"1",
"70",
"6006",
"204204",
"1385670",
"184756",
"-4420",
"-3432",
"1",
"96",
"12870",
"860160",
"19122246",
"69206016",
"2704156",
"0",
"12870",
"1",
"126",
"24310",
"2704156",
"130378950",
"1848483780",
"3528923580",
"40116600",
"104006",
"-48620"
]
| [
"tabl",
"sign",
"easy"
]
| 23 | 0 | 3 | [
"A000984",
"A001448",
"A061162",
"A091496",
"A211419",
"A276098",
"A276099",
"A330843",
"A364303",
"A364506",
"A364509",
"A364513",
"A364518",
"A364519"
]
| null | Peter Bala, Aug 07 2023 | 2024-07-09T02:21:46 | oeisdata/seq/A364/A364518.seq | a4047f4f405ff04716f9b4d2f29960a3 |
A364519 | Square array read by ascending antidiagonals: T(n,k) = [x^(3*k)] ( (1 + x)^(n+3)/(1 - x)^(n-3) )^k for n, k >= 0. | [
"1",
"1",
"0",
"1",
"-4",
"-20",
"1",
"0",
"28",
"0",
"1",
"20",
"-84",
"-220",
"924",
"1",
"64",
"924",
"0",
"1820",
"0",
"1",
"140",
"12012",
"48620",
"16796",
"-15504",
"-48620",
"1",
"256",
"60060",
"2621440",
"2704156",
"0",
"134596",
"0",
"1",
"420",
"204204",
"29745716",
"608435100",
"155117520",
"-3801900",
"-1184040",
"2704156",
"1",
"640",
"554268",
"187432960",
"15628090140",
"146028888064",
"9075135300",
"0",
"10518300",
"0"
]
| [
"tabl",
"sign",
"easy"
]
| 19 | 0 | 5 | [
"A005810",
"A066802",
"A211420",
"A330843",
"A364303",
"A364518",
"A364519",
"A364520"
]
| null | Peter Bala, Aug 07 2023 | 2023-08-14T14:25:24 | oeisdata/seq/A364/A364519.seq | 92d0b5bd05696af1b88d62e5dda3dbe8 |
A364520 | a(n) = (7*n)!*(n/2)!/((7*n/2)!*(n)!*(3*n)!). | [
"1",
"64",
"12012",
"2621440",
"608435100",
"146028888064",
"35794148650260",
"8901646138474496",
"2237242000722428700",
"566823049100850626560",
"144520856111821003326512",
"37036782455383679028953088",
"9531607276865293630675462980",
"2461693334077582876433071472640"
]
| [
"nonn",
"easy"
]
| 19 | 0 | 2 | [
"A276098",
"A364519",
"A364520"
]
| null | Peter Bala, Aug 09 2023 | 2023-10-05T08:37:22 | oeisdata/seq/A364/A364520.seq | a706dac8ec5c679e7227112b0c987525 |
A364521 | Decimal expansion of the solution to Ei(x) = x. | [
"5",
"2",
"7",
"6",
"1",
"2",
"3",
"4",
"7",
"2",
"0",
"1",
"7",
"4",
"2",
"0",
"6",
"0",
"5",
"1",
"6",
"9",
"1",
"5",
"8",
"5",
"1",
"3",
"8",
"0",
"5",
"1",
"8",
"7",
"2",
"1",
"6",
"9",
"1",
"6",
"4",
"1",
"7",
"6",
"4",
"1",
"6",
"1",
"5",
"2",
"5",
"4",
"7",
"3",
"1",
"6",
"8",
"8",
"7",
"3",
"3",
"2",
"9",
"0",
"3",
"3",
"1",
"0",
"1",
"3",
"4",
"2",
"7",
"7",
"7",
"4",
"6",
"6",
"7",
"5",
"2",
"4",
"5",
"7",
"8",
"0",
"5",
"2",
"5",
"8",
"4",
"7",
"5",
"0",
"7",
"8",
"6",
"1",
"4",
"4",
"7"
]
| [
"nonn",
"cons"
]
| 11 | 0 | 1 | [
"A091723",
"A091725",
"A099285",
"A364521"
]
| null | Michal Paulovic, Aug 15 2023 | 2025-02-16T08:34:06 | oeisdata/seq/A364/A364521.seq | 678da918595d99e91ce4094e80de41c0 |
A364522 | G.f. satisfies A(x) = 1 + x*A(x) + x^5*A(x)^5. | [
"1",
"1",
"1",
"1",
"1",
"2",
"7",
"22",
"57",
"127",
"258",
"518",
"1123",
"2718",
"7008",
"18054",
"44969",
"108189",
"255919",
"609179",
"1482210",
"3689155",
"9294440",
"23419705",
"58639835",
"145948111",
"362721386",
"904673836",
"2270287636",
"5729191861",
"14502873988",
"36735974548",
"93001413353",
"235372519273"
]
| [
"nonn"
]
| 25 | 0 | 6 | [
"A001006",
"A071879",
"A127902",
"A182454",
"A349311",
"A364522",
"A364523"
]
| null | Seiichi Manyama, Jul 27 2023 | 2024-07-12T09:52:08 | oeisdata/seq/A364/A364522.seq | 1ab78ce6ec4e197766cd0c02278196c4 |
A364523 | G.f. satisfies A(x) = 1 + x*A(x) + x^6*A(x)^6. | [
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"8",
"29",
"85",
"211",
"463",
"931",
"1795",
"3550",
"7736",
"18929",
"49505",
"130000",
"330430",
"804271",
"1885675",
"4327555",
"9929515",
"23224435",
"55907251",
"138016906",
"345107296",
"862546231",
"2136402451",
"5231163232",
"12697101118",
"30723857209",
"74569942745"
]
| [
"nonn"
]
| 26 | 0 | 7 | [
"A001006",
"A071879",
"A127902",
"A349312",
"A364472",
"A364522",
"A364523"
]
| null | Seiichi Manyama, Jul 27 2023 | 2024-07-12T09:52:03 | oeisdata/seq/A364/A364523.seq | 6a08aa12887d809f8f2128c2573d442c |
A364524 | Expansion of e.g.f. (1-x)^3/(1-3x+2x^2-x^3). | [
"1",
"0",
"2",
"18",
"168",
"1920",
"26640",
"433440",
"8064000",
"168739200",
"3922732800",
"100310918400",
"2798327347200",
"84569169484800",
"2752393009766400",
"95978067913728000",
"3569951024640000000",
"141085196791418880000",
"5903699220162551808000",
"260764276201191899136000",
"12124067910801279713280000"
]
| [
"nonn"
]
| 13 | 0 | 3 | [
"A001804",
"A002866",
"A364524"
]
| null | Enrique Navarrete, Jul 27 2023 | 2023-09-01T04:40:08 | oeisdata/seq/A364/A364524.seq | 709aa1a8f328b18541bb6f918bbf84cd |
A364525 | a(n) is the number of distinct ways to partition the set {1,2,...,n} into nonempty subsets such that the sum of the pi(x)*(pi(x) + 1)/2 values of each subset's size x equals n, where pi() is the prime counting function given by A000720. | [
"0",
"0",
"1",
"1",
"2",
"5",
"9",
"18",
"36",
"73",
"145",
"290",
"580",
"1159",
"2319",
"4637",
"9273",
"18544",
"37083",
"74157",
"148330",
"296658",
"593311",
"1186613",
"2373208",
"4746380",
"9492687",
"18985447",
"37970821",
"75941497",
"151882704",
"303764828",
"607528497",
"1215054675",
"2430104713",
"4860217541"
]
| [
"nonn"
]
| 35 | 1 | 5 | [
"A000720",
"A166444",
"A364525",
"A365062"
]
| null | Robert P. P. McKone, Dec 22 2023 | 2024-01-22T06:26:42 | oeisdata/seq/A364/A364525.seq | 7e8e887e3db6fd7f9816fea911a20cb7 |
A364526 | Number of compositions (ordered partitions) of n into parts not greater than sqrt(n). | [
"1",
"1",
"1",
"1",
"5",
"8",
"13",
"21",
"34",
"149",
"274",
"504",
"927",
"1705",
"3136",
"5768",
"20569",
"39648",
"76424",
"147312",
"283953",
"547337",
"1055026",
"2033628",
"3919944",
"11749641",
"23099186",
"45411804",
"89277256",
"175514464",
"345052351",
"678355061",
"1333610936",
"2621810068",
"5154342880",
"10133171296"
]
| [
"nonn"
]
| 28 | 0 | 5 | [
"A011782",
"A097356",
"A364526"
]
| null | Ilya Gutkovskiy, Dec 22 2023 | 2023-12-22T10:33:43 | oeisdata/seq/A364/A364526.seq | f673ef02db652fbd44675aa3ad0f7ad3 |
A364527 | Triangle read by rows giving the number of square arrays composed of the numbers from 1 to n^2, counted up to rotation and reflection, with heterogeneity k, i.e., number of k different sums of rows, columns or diagonals with 1 <= k <= 2*n+2 for n > 1. | [
"1",
"0",
"0",
"0",
"0",
"3",
"0",
"1",
"22",
"346",
"2060",
"7989",
"17160",
"14662",
"3120",
"880"
]
| [
"nonn",
"more",
"tabf"
]
| 10 | 1 | 6 | [
"A006003",
"A006052",
"A050257",
"A086829",
"A088020",
"A364527"
]
| null | Martin Renner, Jul 27 2023 | 2023-08-02T14:10:14 | oeisdata/seq/A364/A364527.seq | d7a42d76792dedeab53ece8b113f214d |
A364528 | Number of 1's required to build -n using +, -, *, and parentheses. | [
"3",
"4",
"5",
"6",
"6",
"7",
"7",
"7",
"8",
"8",
"8",
"9",
"9",
"9",
"9",
"9",
"9",
"10",
"10",
"10",
"10",
"10",
"10",
"10",
"11",
"10",
"11",
"11",
"11",
"11",
"11",
"11",
"11",
"11",
"11",
"12",
"12",
"12",
"12",
"12",
"12",
"12",
"13",
"12",
"12",
"12",
"12",
"12",
"13",
"13",
"12",
"12",
"12",
"13",
"13",
"13",
"13",
"13",
"13",
"13",
"14",
"13",
"13",
"13",
"14",
"13",
"14",
"13",
"13"
]
| [
"nonn"
]
| 7 | 1 | 1 | [
"A091333",
"A364528"
]
| null | Pontus von Brömssen, Jul 27 2023 | 2023-07-29T05:07:17 | oeisdata/seq/A364/A364528.seq | 666a14d74adb77938e96d4958cc08843 |
A364529 | Number of compositions of 2n into n parts where differences between neighboring parts are in {-1,1}. | [
"1",
"1",
"0",
"2",
"4",
"2",
"0",
"6",
"14",
"8",
"0",
"25",
"60",
"35",
"0",
"114",
"270",
"157",
"0",
"528",
"1242",
"722",
"0",
"2481",
"5826",
"3390",
"0",
"11816",
"27728",
"16145",
"0",
"56841",
"133316",
"77660",
"0",
"275485",
"645878",
"376382",
"0",
"1343083",
"3148000",
"1835076",
"0",
"6579707",
"15418652",
"8990528",
"0",
"32363357",
"75826214"
]
| [
"nonn"
]
| 14 | 0 | 4 | [
"A016825",
"A173258",
"A309938",
"A364529"
]
| null | Alois P. Heinz, Jul 27 2023 | 2023-10-27T08:11:52 | oeisdata/seq/A364/A364529.seq | 765b8c2f462f9188da4aeab6c1adefb0 |
A364530 | a(n) is the least positive k such that for each of the first 2*n primes p, at least one of the n consecutive integers k to k + n - 1 is divisible by p. | [
"6",
"14",
"154",
"1273",
"986",
"60605",
"138411",
"587074",
"11682411",
"53882397",
"1419040497",
"10970441168",
"162901726271",
"162901726270",
"14028069972496",
"418009365630087",
"29188950975317201",
"386792219894091763",
"3445270276615037892"
]
| [
"nonn",
"more"
]
| 26 | 1 | 1 | null | null | Robert Israel, Jul 27 2023 | 2023-08-21T22:40:38 | oeisdata/seq/A364/A364530.seq | 35f8d8e4756625f036cec56d56e27476 |
A364531 | Positive integers with no prime index equal to the sum of prime indices of any nonprime divisor. | [
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"11",
"13",
"14",
"15",
"16",
"17",
"18",
"19",
"20",
"21",
"22",
"23",
"25",
"26",
"27",
"28",
"29",
"31",
"32",
"33",
"34",
"35",
"37",
"38",
"39",
"41",
"42",
"43",
"44",
"45",
"46",
"47",
"49",
"50",
"51",
"52",
"53",
"54",
"55",
"56",
"57",
"58",
"59",
"61",
"62",
"64",
"65",
"66",
"67",
"68",
"69",
"71",
"73",
"74",
"75",
"76",
"77"
]
| [
"nonn"
]
| 7 | 1 | 2 | [
"A000005",
"A002865",
"A033273",
"A055212",
"A108917",
"A236912",
"A237113",
"A237667",
"A237668",
"A299701",
"A299702",
"A299729",
"A320340",
"A326083",
"A363225",
"A363260",
"A364347",
"A364349",
"A364461",
"A364462",
"A364467",
"A364531",
"A364532"
]
| null | Gus Wiseman, Aug 01 2023 | 2023-08-03T09:04:19 | oeisdata/seq/A364/A364531.seq | 5e06d5b7fd9a55a2dcb9f06319677116 |
A364532 | Positive integers with a prime index equal to the sum of prime indices of some nonprime divisor. Heinz numbers of a variation of sum-full partitions. | [
"12",
"24",
"30",
"36",
"40",
"48",
"60",
"63",
"70",
"72",
"80",
"84",
"90",
"96",
"108",
"112",
"120",
"126",
"132",
"140",
"144",
"150",
"154",
"156",
"160",
"165",
"168",
"180",
"189",
"192",
"198",
"200",
"204",
"210",
"216",
"220",
"224",
"228",
"240",
"252",
"264",
"270",
"273",
"276",
"280",
"286",
"288",
"300",
"308",
"312",
"315",
"320",
"324",
"325",
"330"
]
| [
"nonn"
]
| 10 | 1 | 1 | [
"A000005",
"A001222",
"A033273",
"A055212",
"A056239",
"A085489",
"A088809",
"A093971",
"A108917",
"A112798",
"A151897",
"A236912",
"A237113",
"A237667",
"A237668",
"A275972",
"A299701",
"A299702",
"A299729",
"A301900",
"A325864",
"A326083",
"A363225",
"A364272",
"A364345",
"A364347",
"A364348",
"A364349",
"A364350",
"A364461",
"A364462",
"A364531",
"A364532",
"A364534"
]
| null | Gus Wiseman, Aug 01 2023 | 2023-08-03T09:04:25 | oeisdata/seq/A364/A364532.seq | 859045fc743dcc4c5eed365f77968dd7 |
A364533 | Number of strict integer partitions of n containing the sum of no pair of distinct parts. A variation of sum-free strict partitions. | [
"1",
"1",
"1",
"2",
"2",
"3",
"3",
"5",
"5",
"8",
"7",
"11",
"11",
"15",
"15",
"21",
"22",
"28",
"32",
"38",
"40",
"51",
"55",
"65",
"74",
"83",
"94",
"111",
"119",
"136",
"160",
"174",
"196",
"222",
"252",
"273",
"315",
"341",
"391",
"425",
"477",
"518",
"602",
"636",
"719",
"782",
"886",
"944",
"1073",
"1140",
"1302",
"1380",
"1553",
"1651",
"1888",
"1995",
"2224",
"2370"
]
| [
"nonn"
]
| 7 | 0 | 4 | [
"A000009",
"A000041",
"A007865",
"A008284",
"A008289",
"A025065",
"A085489",
"A088809",
"A108917",
"A151897",
"A236912",
"A237113",
"A237667",
"A237668",
"A240861",
"A275972",
"A320340",
"A323092",
"A325862",
"A326083",
"A363226",
"A364272",
"A364345",
"A364346",
"A364347",
"A364349",
"A364350",
"A364461",
"A364533",
"A364534",
"A364670"
]
| null | Gus Wiseman, Aug 02 2023 | 2023-08-03T09:04:30 | oeisdata/seq/A364/A364533.seq | 6cbbe7e38bedd40d54b40345f6773202 |
A364534 | Number of subsets of {1..n} containing some element equal to the sum of two or more distinct other elements. A variation of sum-full subsets without re-used elements. | [
"0",
"0",
"0",
"1",
"3",
"10",
"27",
"68",
"156",
"357",
"775",
"1667",
"3505",
"7303",
"15019",
"30759",
"62489",
"126619",
"255542",
"514721",
"1034425",
"2076924",
"4164650",
"8346306",
"16715847",
"33467324",
"66982798",
"134040148",
"268179417",
"536510608",
"1073226084",
"2146759579",
"4293930436",
"8588485846",
"17177799658"
]
| [
"nonn"
]
| 14 | 0 | 5 | [
"A007865",
"A085489",
"A088809",
"A093971",
"A108917",
"A151897",
"A236912",
"A237113",
"A237667",
"A237668",
"A275972",
"A323092",
"A325862",
"A326083",
"A363225",
"A364272",
"A364345",
"A364346",
"A364348",
"A364349",
"A364350",
"A364531",
"A364532",
"A364533",
"A364534",
"A364670"
]
| null | Gus Wiseman, Aug 02 2023 | 2024-01-27T19:19:17 | oeisdata/seq/A364/A364534.seq | 3fd9261986e6040f1387a1c245707801 |
A364535 | a(n) is the number of subsets of the first n primes whose sum is not a prime. | [
"1",
"1",
"1",
"3",
"9",
"20",
"44",
"93",
"191",
"390",
"787",
"1600",
"3250",
"6563",
"13227",
"26609",
"53484",
"107588",
"216413",
"434894",
"872834",
"1750938",
"3512454",
"7043770",
"14119562",
"28300792",
"56733873",
"113746102",
"228033527",
"456999525",
"915558925",
"1834081043",
"3674191081",
"7361544506",
"14749015536",
"29545860199",
"59169406092"
]
| [
"nonn"
]
| 51 | 0 | 4 | [
"A000040",
"A000295",
"A071810",
"A262765",
"A364535"
]
| null | Darío Clavijo, Oct 20 2023 | 2023-10-27T14:45:38 | oeisdata/seq/A364/A364535.seq | 7005c1ec378979b55d870092890b67ac |
A364536 | Number of strict integer partitions of n where some part is a difference of two consecutive parts. | [
"0",
"0",
"0",
"1",
"0",
"0",
"2",
"1",
"2",
"2",
"5",
"4",
"6",
"6",
"9",
"11",
"16",
"17",
"23",
"25",
"30",
"38",
"48",
"55",
"65",
"78",
"92",
"106",
"127",
"146",
"176",
"205",
"230",
"277",
"315",
"366",
"421",
"483",
"552",
"640",
"727",
"829",
"950",
"1083",
"1218",
"1408",
"1577",
"1794",
"2017",
"2298",
"2561",
"2919",
"3255",
"3685",
"4116",
"4638",
"5163"
]
| [
"nonn"
]
| 9 | 0 | 7 | [
"A000009",
"A000041",
"A002865",
"A008284",
"A008289",
"A025065",
"A093971",
"A108917",
"A120641",
"A229816",
"A236912",
"A237113",
"A237667",
"A320347",
"A323092",
"A325325",
"A326083",
"A363225",
"A363226",
"A363260",
"A364345",
"A364346",
"A364347",
"A364463",
"A364464",
"A364466",
"A364467",
"A364536",
"A364537"
]
| null | Gus Wiseman, Jul 31 2023 | 2023-09-26T13:39:09 | oeisdata/seq/A364/A364536.seq | bb0f2fb422d2b85bbf76b1c7a5e1b004 |
A364537 | Heinz numbers of integer partitions where some part is the difference of two consecutive parts. | [
"6",
"12",
"18",
"21",
"24",
"30",
"36",
"42",
"48",
"54",
"60",
"63",
"65",
"66",
"70",
"72",
"78",
"84",
"90",
"96",
"102",
"108",
"114",
"120",
"126",
"130",
"132",
"133",
"138",
"140",
"144",
"147",
"150",
"154",
"156",
"162",
"165",
"168",
"174",
"180",
"186",
"189",
"192",
"195",
"198",
"204",
"210",
"216",
"222",
"228",
"231",
"234",
"240",
"246",
"252",
"258"
]
| [
"nonn"
]
| 5 | 1 | 1 | [
"A002865",
"A025065",
"A050291",
"A088808",
"A093971",
"A108917",
"A196723",
"A229816",
"A236912",
"A237113",
"A237667",
"A320340",
"A320347",
"A323092",
"A325325",
"A326083",
"A363225",
"A363260",
"A364345",
"A364347",
"A364348",
"A364463",
"A364464",
"A364466",
"A364467",
"A364536",
"A364537"
]
| null | Gus Wiseman, Aug 02 2023 | 2023-08-03T09:04:40 | oeisdata/seq/A364/A364537.seq | 3217593b9a8e530801d0512a5c863fee |
A364538 | A 12 X 12 magic square composed of 1 and the first consecutive odd primes with the smallest possible magic sum, read by rows. | [
"1",
"823",
"821",
"809",
"811",
"797",
"19",
"29",
"313",
"31",
"23",
"37",
"89",
"83",
"211",
"79",
"641",
"631",
"619",
"709",
"617",
"53",
"43",
"739",
"97",
"227",
"103",
"107",
"193",
"557",
"719",
"727",
"607",
"139",
"757",
"281",
"223",
"653",
"499",
"197",
"109",
"113",
"563",
"479",
"173",
"761",
"587",
"157",
"367",
"379",
"521",
"383",
"241",
"467",
"257",
"263",
"269",
"167",
"601",
"599"
]
| [
"nonn",
"tabf",
"fini",
"full"
]
| 16 | 1 | 2 | [
"A073502",
"A173079",
"A364538"
]
| null | Paolo Xausa, Jul 28 2023 | 2023-08-02T15:48:13 | oeisdata/seq/A364/A364538.seq | d2d638296ec04795a456a5a27cfc65b9 |
A364539 | G.f. satisfies A(x) = 1 + x*A(x) + x^3*A(x)^5. | [
"1",
"1",
"1",
"2",
"7",
"22",
"62",
"182",
"583",
"1928",
"6358",
"21063",
"70888",
"241889",
"831634",
"2874584",
"9995579",
"34966279",
"122938956",
"434062141",
"1538378816",
"5471697241",
"19525345791",
"69880082323",
"250767909528",
"902123110483",
"3252793321513",
"11753570922933",
"42553831219830"
]
| [
"nonn",
"easy"
]
| 8 | 0 | 4 | [
"A023431",
"A063019",
"A071879",
"A182454",
"A215340",
"A349311",
"A364522",
"A364539"
]
| null | Seiichi Manyama, Jul 28 2023 | 2023-07-28T10:36:22 | oeisdata/seq/A364/A364539.seq | 24692b0ecdc532b25cd19c7d4dadd432 |
A364540 | Numbers k for which A005940(k) < k. | [
"9",
"17",
"18",
"33",
"34",
"35",
"36",
"65",
"66",
"67",
"68",
"69",
"70",
"72",
"129",
"130",
"131",
"132",
"133",
"134",
"135",
"136",
"137",
"138",
"140",
"144",
"257",
"258",
"259",
"260",
"261",
"262",
"263",
"264",
"265",
"266",
"267",
"268",
"270",
"272",
"273",
"274",
"276",
"280",
"288",
"289",
"385",
"513",
"514",
"515",
"516",
"517",
"518",
"519",
"520",
"521",
"522",
"523",
"524",
"525",
"526",
"527",
"528",
"529",
"530",
"531"
]
| [
"nonn"
]
| 8 | 1 | 1 | [
"A005940",
"A356450",
"A364499",
"A364540",
"A364541",
"A364542"
]
| null | Antti Karttunen, Jul 28 2023 | 2023-07-28T10:34:01 | oeisdata/seq/A364/A364540.seq | 2a1ed1d9591eaca3ac2bac5c3ec27711 |
A364541 | Numbers k for which A005940(k) <= k. | [
"1",
"2",
"3",
"4",
"5",
"6",
"8",
"9",
"10",
"12",
"16",
"17",
"18",
"20",
"24",
"32",
"33",
"34",
"35",
"36",
"40",
"48",
"64",
"65",
"66",
"67",
"68",
"69",
"70",
"72",
"80",
"96",
"128",
"129",
"130",
"131",
"132",
"133",
"134",
"135",
"136",
"137",
"138",
"140",
"144",
"160",
"192",
"256",
"257",
"258",
"259",
"260",
"261",
"262",
"263",
"264",
"265",
"266",
"267",
"268",
"270",
"272",
"273",
"274",
"276",
"280",
"288",
"289",
"320",
"384",
"385",
"512"
]
| [
"nonn"
]
| 7 | 1 | 2 | [
"A005940",
"A029747",
"A364499",
"A364540",
"A364541",
"A364542"
]
| null | Antti Karttunen, Jul 28 2023 | 2023-07-28T10:35:02 | oeisdata/seq/A364/A364541.seq | 6b9c2320b0539973014f61e37f983e4b |
A364542 | Numbers k for which A005940(k) >= k. | [
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"10",
"11",
"12",
"13",
"14",
"15",
"16",
"19",
"20",
"21",
"22",
"23",
"24",
"25",
"26",
"27",
"28",
"29",
"30",
"31",
"32",
"37",
"38",
"39",
"40",
"41",
"42",
"43",
"44",
"45",
"46",
"47",
"48",
"49",
"50",
"51",
"52",
"53",
"54",
"55",
"56",
"57",
"58",
"59",
"60",
"61",
"62",
"63",
"64",
"71",
"73",
"74",
"75",
"76",
"77",
"78",
"79",
"80",
"81",
"82",
"83",
"84",
"85",
"86",
"87",
"88",
"89",
"90",
"91",
"92",
"93",
"94",
"95"
]
| [
"nonn"
]
| 13 | 1 | 2 | [
"A005940",
"A005941",
"A029747",
"A343107",
"A364499",
"A364540",
"A364542",
"A364560"
]
| null | Antti Karttunen, Jul 28 2023 | 2023-07-29T15:59:14 | oeisdata/seq/A364/A364542.seq | 2f380dc39e7fc11f3640d7ac4bfba787 |
A364543 | Odd numbers k for which A005940(k) <= k. | [
"1",
"3",
"5",
"9",
"17",
"33",
"35",
"65",
"67",
"69",
"129",
"131",
"133",
"135",
"137",
"257",
"259",
"261",
"263",
"265",
"267",
"273",
"289",
"385",
"513",
"515",
"517",
"519",
"521",
"523",
"525",
"527",
"529",
"531",
"545",
"577",
"641",
"769",
"1025",
"1027",
"1029",
"1031",
"1033",
"1035",
"1037",
"1039",
"1041",
"1043",
"1045",
"1047",
"1057",
"1059",
"1089",
"1091",
"1153",
"1281",
"1537",
"2049",
"2051",
"2053",
"2055"
]
| [
"nonn"
]
| 12 | 1 | 2 | [
"A005940",
"A364293",
"A364499",
"A364541",
"A364543",
"A364547",
"A364563",
"A364573"
]
| null | Antti Karttunen, Aug 06 2023 | 2023-08-07T14:55:04 | oeisdata/seq/A364/A364543.seq | 3896862c9d692330af9f81c2969ffaaa |
A364544 | Numbers k such that k divides A005940(k). | [
"1",
"2",
"3",
"4",
"5",
"6",
"8",
"10",
"12",
"16",
"20",
"24",
"32",
"40",
"48",
"64",
"80",
"96",
"125",
"128",
"160",
"192",
"245",
"250",
"256",
"320",
"375",
"384",
"490",
"500",
"512",
"640",
"715",
"750",
"768",
"845",
"847",
"980",
"1000",
"1024",
"1215",
"1280",
"1430",
"1500",
"1536",
"1690",
"1694",
"1960",
"2000",
"2048",
"2430",
"2560",
"2860",
"2873",
"3000",
"3072",
"3380",
"3388",
"3920",
"4000",
"4096",
"4860",
"5120"
]
| [
"nonn"
]
| 9 | 1 | 2 | [
"A005940",
"A029747",
"A364494",
"A364501",
"A364542",
"A364544",
"A364545",
"A364546"
]
| null | Antti Karttunen, Jul 28 2023 | 2023-07-28T15:54:32 | oeisdata/seq/A364/A364544.seq | c0da8971bc7ea0c926907999e4f2873b |
A364545 | Odd numbers k such that k divides A005940(k). | [
"1",
"3",
"5",
"125",
"245",
"375",
"715",
"845",
"847",
"1215",
"2873",
"11583",
"12635",
"21879",
"24255",
"31213",
"33495",
"36125",
"42875",
"48125",
"48841",
"71269",
"100793",
"102245",
"104907",
"157035",
"173641",
"191607",
"206045",
"240787",
"244205",
"251459",
"302575",
"313937",
"351509",
"359513",
"375687",
"384475",
"388531",
"417605",
"419957",
"444889",
"468999",
"521703",
"586177",
"635375"
]
| [
"nonn"
]
| 6 | 1 | 2 | [
"A005940",
"A364495",
"A364501",
"A364544",
"A364545",
"A364547"
]
| null | Antti Karttunen, Jul 28 2023 | 2023-07-28T16:03:16 | oeisdata/seq/A364/A364545.seq | 4025d0b30b59975f6d6234af3bdc6f42 |
A364546 | Numbers k such that k is a multiple of A005940(k). | [
"1",
"2",
"3",
"4",
"5",
"6",
"8",
"10",
"12",
"16",
"20",
"24",
"32",
"40",
"48",
"64",
"80",
"96",
"128",
"160",
"192",
"256",
"320",
"384",
"512",
"640",
"768",
"1024",
"1035",
"1280",
"1536",
"2048",
"2070",
"2560",
"3072",
"4096",
"4140",
"5120",
"6144",
"8192",
"8280",
"10240",
"12288",
"16384",
"16560",
"20480",
"24576",
"32768",
"33120",
"40960",
"49152",
"65536",
"66240",
"81920",
"98304",
"131072",
"132480",
"163840"
]
| [
"nonn"
]
| 9 | 1 | 2 | [
"A005940",
"A029747",
"A364496",
"A364502",
"A364541",
"A364544",
"A364546",
"A364547",
"A364548"
]
| null | Antti Karttunen, Jul 28 2023 | 2023-07-28T16:05:42 | oeisdata/seq/A364/A364546.seq | 58db49f51c97571631dc6d5001f60078 |
A364547 | Odd numbers k such that k is a multiple of A005940(k). | [
"1",
"3",
"5",
"1035",
"524295",
"16777217"
]
| [
"nonn",
"more"
]
| 21 | 1 | 2 | [
"A000040",
"A000051",
"A005940",
"A005941",
"A364502",
"A364545",
"A364546",
"A364547",
"A364549",
"A364551",
"A364963"
]
| null | Antti Karttunen, Jul 28 2023 | 2024-01-12T11:56:19 | oeisdata/seq/A364/A364547.seq | 312e353c7d1d12055cc3a6f0ba33107a |
A364548 | Numbers k such that k divides A005941(k). | [
"1",
"2",
"3",
"4",
"5",
"6",
"8",
"10",
"12",
"16",
"20",
"24",
"32",
"40",
"48",
"64",
"80",
"96",
"97",
"128",
"160",
"192",
"194",
"256",
"320",
"345",
"384",
"388",
"512",
"549",
"640",
"690",
"768",
"776",
"1024",
"1093",
"1098",
"1280",
"1380",
"1536",
"1552",
"2048",
"2186",
"2196",
"2560",
"2760",
"3072",
"3104",
"4096",
"4372",
"4392",
"5120",
"5520",
"6144",
"6208",
"8192",
"8744",
"8784",
"10240",
"11040",
"12288",
"12416",
"16384"
]
| [
"nonn"
]
| 5 | 1 | 2 | [
"A005940",
"A005941",
"A029747",
"A156552",
"A364497",
"A364546",
"A364548",
"A364549"
]
| null | Antti Karttunen, Jul 28 2023 | 2023-07-28T16:35:40 | oeisdata/seq/A364/A364548.seq | 92f21aa4cc1971e28d3e6737607c8980 |
A364549 | Odd numbers k that divide A005941(k). | [
"1",
"3",
"5",
"97",
"345",
"549",
"1093",
"64621",
"671515",
"3280317",
"8957089"
]
| [
"nonn",
"more"
]
| 17 | 1 | 2 | [
"A000720",
"A005940",
"A005941",
"A156552",
"A364498",
"A364547",
"A364548",
"A364549",
"A364551"
]
| null | Antti Karttunen, Jul 28 2023 | 2023-07-29T01:21:07 | oeisdata/seq/A364/A364549.seq | e32ee34fee9f59e46b54c8da0057c2c7 |
A364550 | Numbers k such that k is a multiple of A005941(k). | [
"1",
"2",
"3",
"4",
"5",
"6",
"8",
"10",
"12",
"16",
"20",
"24",
"32",
"40",
"48",
"64",
"80",
"96",
"128",
"160",
"192",
"256",
"320",
"384",
"512",
"640",
"768",
"1024",
"1280",
"1536",
"2048",
"2560",
"3072",
"3125",
"4096",
"5120",
"6144",
"6250",
"7875",
"8192",
"10240",
"12005",
"12288",
"12500",
"13365",
"15750",
"16384",
"20480",
"22869",
"23595",
"24010",
"24576",
"25000",
"26730",
"31500",
"32768",
"40960",
"45738",
"46475"
]
| [
"nonn"
]
| 5 | 1 | 2 | [
"A005941",
"A029747",
"A156552",
"A364548",
"A364550",
"A364551",
"A364560"
]
| null | Antti Karttunen, Jul 28 2023 | 2023-07-29T14:35:50 | oeisdata/seq/A364/A364550.seq | f1a6462c90cc094dff6c641119973f22 |
A364551 | Odd numbers k such that k is a multiple of A005941(k). | [
"1",
"3",
"5",
"3125",
"7875",
"12005",
"13365",
"22869",
"23595",
"46475",
"703395",
"985439",
"2084775",
"2675673",
"13619125",
"19144125"
]
| [
"nonn",
"more"
]
| 14 | 1 | 2 | [
"A005940",
"A005941",
"A156552",
"A364545",
"A364549",
"A364551",
"A364560",
"A364561",
"A364564"
]
| null | Antti Karttunen, Jul 28 2023 | 2023-07-29T14:36:02 | oeisdata/seq/A364/A364551.seq | 0148dab71550e64fdce9f96359608f0c |
A364552 | G.f. satisfies A(x) = 1 + x*A(x) + x^4*A(x)^3. | [
"1",
"1",
"1",
"1",
"2",
"5",
"11",
"21",
"39",
"78",
"169",
"373",
"808",
"1727",
"3719",
"8153",
"18100",
"40315",
"89770",
"200250",
"448755",
"1010685",
"2284295",
"5173961",
"11740697",
"26699780",
"60863291",
"139045991",
"318247190",
"729572315",
"1675085099",
"3851795549",
"8869990949",
"20453679944",
"47223844863"
]
| [
"nonn",
"easy"
]
| 9 | 0 | 5 | [
"A000108",
"A023426",
"A063019",
"A071879",
"A127902",
"A346626",
"A364552"
]
| null | Seiichi Manyama, Jul 28 2023 | 2023-07-28T10:36:26 | oeisdata/seq/A364/A364552.seq | 659cbc59aa5a555c371a5d9594271f6b |
A364553 | Number of edges in the n-Pell graph. | [
"0",
"1",
"5",
"18",
"58",
"175",
"507",
"1428",
"3940",
"10701",
"28705",
"76230",
"200766",
"525083",
"1365175",
"3531240",
"9093512",
"23325785",
"59625981",
"151947066",
"386139650",
"978834759",
"2475645491",
"6248406780",
"15740857452",
"39585199525",
"99389810585",
"249177006702",
"623846750086",
"1559888545075"
]
| [
"nonn",
"easy"
]
| 34 | 0 | 3 | [
"A000129",
"A001333",
"A008288",
"A026937",
"A093967",
"A364361",
"A364553",
"A364636"
]
| null | Eric W. Weisstein, Jul 28 2023 | 2025-02-16T08:34:06 | oeisdata/seq/A364/A364553.seq | 0b353d84735c3a71235fefbd1d62f895 |
A364554 | a(n) = number of primes of the form T(k)/n, for some k, where T(k)=A000217(k) is a triangular number. | [
"1",
"2",
"3",
"1",
"3",
"2",
"2",
"1",
"3",
"1",
"2",
"2",
"1",
"2",
"4",
"1",
"0",
"2",
"1",
"1",
"4",
"2",
"2",
"2",
"1",
"2",
"2",
"0",
"1",
"3",
"1",
"0",
"4",
"1",
"3",
"2",
"2",
"1",
"3",
"2",
"1",
"2",
"0",
"1",
"2",
"0",
"1",
"2",
"1",
"1",
"4",
"1",
"1",
"3",
"1",
"1",
"4",
"1",
"1",
"3",
"1",
"0",
"2",
"1",
"2",
"1",
"0",
"2",
"2",
"2",
"0",
"0",
"1",
"1",
"4",
"1",
"1",
"2",
"1",
"0",
"2",
"1",
"2",
"2",
"2",
"2",
"4",
"0",
"1",
"4"
]
| [
"nonn"
]
| 27 | 1 | 2 | [
"A000217",
"A001318",
"A057569",
"A057570",
"A074378",
"A109998",
"A154296",
"A154304",
"A364554",
"A364555"
]
| null | Lamine Ngom, Jul 28 2023 | 2023-09-01T21:13:18 | oeisdata/seq/A364/A364554.seq | 24e2ebf08e94a1fc54acb3f7c14387ca |
A364555 | Numbers m such that no triangular number is m times a prime. | [
"17",
"28",
"32",
"43",
"46",
"62",
"67",
"71",
"72",
"80",
"88",
"94",
"101",
"103",
"104",
"108",
"109",
"110",
"118",
"122",
"124",
"127",
"130",
"137",
"144",
"148",
"149",
"151",
"152",
"161",
"162",
"163",
"170",
"171",
"172",
"178",
"181",
"185",
"188",
"196",
"197",
"202",
"206",
"208",
"212",
"214",
"218",
"223",
"226",
"236",
"238",
"241",
"242",
"256",
"257",
"258"
]
| [
"nonn"
]
| 17 | 1 | 1 | [
"A000217",
"A109998",
"A364554",
"A364555"
]
| null | Lamine Ngom, Jul 28 2023 | 2023-09-01T21:14:06 | oeisdata/seq/A364/A364555.seq | bd57dea9142b1f509b0e7f83a12097f6 |
A364556 | Number of tilings of a 5 X n rectangle using dominoes and trominoes (of any shape). | [
"1",
"2",
"43",
"733",
"12688",
"226922",
"3927233",
"68846551",
"1204757533",
"21062468900",
"368521437132",
"6445706387345",
"112749099291387",
"1972235696214897",
"34498222540798726",
"603446574091501719",
"10555520988321750183",
"184637793249606497610",
"3229696298942838688793",
"56494043669663414794810"
]
| [
"nonn"
]
| 21 | 0 | 2 | [
"A364457",
"A364556"
]
| null | Alois P. Heinz, Jul 28 2023 | 2025-04-05T09:10:02 | oeisdata/seq/A364/A364556.seq | 7371f08fdf99f212ab00319b3d4cf40e |
A364557 | Möbius transform of A005941. | [
"1",
"1",
"2",
"2",
"4",
"2",
"8",
"4",
"4",
"4",
"16",
"4",
"32",
"8",
"4",
"8",
"64",
"4",
"128",
"8",
"8",
"16",
"256",
"8",
"8",
"32",
"8",
"16",
"512",
"4",
"1024",
"16",
"16",
"64",
"8",
"8",
"2048",
"128",
"32",
"16",
"4096",
"8",
"8192",
"32",
"8",
"256",
"16384",
"16",
"16",
"8",
"64",
"64",
"32768",
"8",
"16",
"32",
"128",
"512",
"65536",
"8",
"131072",
"1024",
"16",
"32",
"32",
"16",
"262144",
"128",
"256",
"8",
"524288",
"16",
"1048576",
"2048"
]
| [
"nonn"
]
| 14 | 1 | 3 | [
"A005941",
"A008683",
"A297112",
"A297113",
"A297167",
"A364557",
"A364558"
]
| null | Antti Karttunen, Jul 28 2023 | 2023-07-29T15:59:07 | oeisdata/seq/A364/A364557.seq | d2d719a1293a3c79504341c6bbdd9d8b |
A364558 | a(n) = A364557(n) - A000010(n), where A364557 is the Möbius transform of A005941, and A000010 (Euler phi) is the Möbius transform of A000027. | [
"0",
"0",
"0",
"0",
"0",
"0",
"2",
"0",
"-2",
"0",
"6",
"0",
"20",
"2",
"-4",
"0",
"48",
"-2",
"110",
"0",
"-4",
"6",
"234",
"0",
"-12",
"20",
"-10",
"4",
"484",
"-4",
"994",
"0",
"-4",
"48",
"-16",
"-4",
"2012",
"110",
"8",
"0",
"4056",
"-4",
"8150",
"12",
"-16",
"234",
"16338",
"0",
"-26",
"-12",
"32",
"40",
"32716",
"-10",
"-24",
"8",
"92",
"484",
"65478",
"-8",
"131012",
"994",
"-20",
"0",
"-16",
"-4",
"262078",
"96",
"212",
"-16",
"524218",
"-8",
"1048504"
]
| [
"sign"
]
| 17 | 1 | 7 | [
"A000010",
"A005941",
"A364557",
"A364558",
"A364559",
"A364565",
"A364566"
]
| null | Antti Karttunen, Jul 28 2023 | 2023-07-29T15:58:46 | oeisdata/seq/A364/A364558.seq | 461a3ad716440eaa790c54a1600fbf28 |
A364559 | a(n) = A005941(n) - n. | [
"0",
"0",
"0",
"0",
"0",
"0",
"2",
"0",
"-2",
"0",
"6",
"0",
"20",
"4",
"-4",
"0",
"48",
"-4",
"110",
"0",
"-2",
"12",
"234",
"0",
"-12",
"40",
"-12",
"8",
"484",
"-8",
"994",
"0",
"2",
"96",
"-14",
"-8",
"2012",
"220",
"28",
"0",
"4056",
"-4",
"8150",
"24",
"-22",
"468",
"16338",
"0",
"-24",
"-24",
"80",
"80",
"32716",
"-24",
"-18",
"16",
"202",
"968",
"65478",
"-16",
"131012",
"1988",
"-24",
"0",
"4",
"4",
"262078",
"192",
"446",
"-28",
"524218",
"-16"
]
| [
"sign"
]
| 21 | 1 | 7 | [
"A005941",
"A029747",
"A364288",
"A364499",
"A364557",
"A364558",
"A364559",
"A364560",
"A364562",
"A364576"
]
| null | Antti Karttunen, Jul 28 2023 | 2023-08-07T18:26:57 | oeisdata/seq/A364/A364559.seq | a16befc711e851e8a1ca263579183004 |
A364560 | Numbers k for which A156552(k) < k. | [
"1",
"2",
"3",
"4",
"5",
"6",
"8",
"9",
"10",
"12",
"15",
"16",
"18",
"20",
"21",
"24",
"25",
"27",
"30",
"32",
"35",
"36",
"40",
"42",
"45",
"48",
"49",
"50",
"54",
"55",
"60",
"63",
"64",
"70",
"72",
"75",
"77",
"80",
"81",
"84",
"90",
"91",
"96",
"98",
"99",
"100",
"105",
"108",
"110",
"120",
"121",
"125",
"126",
"128",
"135",
"140",
"143",
"144",
"147",
"150",
"154",
"160",
"162",
"165",
"168",
"169",
"175",
"180",
"182",
"187",
"189",
"192",
"195",
"196"
]
| [
"nonn"
]
| 13 | 1 | 2 | [
"A005941",
"A029747",
"A156552",
"A364542",
"A364550",
"A364559",
"A364560",
"A364561",
"A364562"
]
| null | Antti Karttunen, Jul 28 2023 | 2023-07-29T15:59:18 | oeisdata/seq/A364/A364560.seq | 568866a42516b930413e4c8042f6ff02 |
A364561 | Odd numbers k for which A156552(k) < k. | [
"1",
"3",
"5",
"9",
"15",
"21",
"25",
"27",
"35",
"45",
"49",
"55",
"63",
"75",
"77",
"81",
"91",
"99",
"105",
"121",
"125",
"135",
"143",
"147",
"165",
"169",
"175",
"187",
"189",
"195",
"221",
"225",
"231",
"243",
"245",
"273",
"275",
"289",
"297",
"315",
"323",
"325",
"343",
"351",
"357",
"363",
"375",
"385",
"405",
"425",
"429",
"441",
"455",
"495",
"507",
"525",
"539",
"561",
"567",
"585",
"595",
"605",
"625",
"627",
"637",
"663",
"665"
]
| [
"nonn"
]
| 18 | 1 | 2 | [
"A005940",
"A005941",
"A156552",
"A364545",
"A364551",
"A364560",
"A364561",
"A364564",
"A364576"
]
| null | Antti Karttunen, Jul 28 2023 | 2023-08-11T09:59:14 | oeisdata/seq/A364/A364561.seq | 18b8b0839f39e42489a96ef72d3d34ed |
A364562 | Numbers k for which A156552(k) > k. | [
"7",
"11",
"13",
"14",
"17",
"19",
"22",
"23",
"26",
"28",
"29",
"31",
"33",
"34",
"37",
"38",
"39",
"41",
"43",
"44",
"46",
"47",
"51",
"52",
"53",
"56",
"57",
"58",
"59",
"61",
"62",
"65",
"66",
"67",
"68",
"69",
"71",
"73",
"74",
"76",
"78",
"79",
"82",
"83",
"85",
"86",
"87",
"88",
"89",
"92",
"93",
"94",
"95",
"97",
"101",
"102",
"103",
"104",
"106",
"107",
"109",
"111",
"112",
"113",
"114",
"115",
"116",
"117",
"118",
"119",
"122",
"123",
"124",
"127"
]
| [
"nonn"
]
| 7 | 1 | 1 | [
"A005941",
"A156552",
"A364559",
"A364560",
"A364562"
]
| null | Antti Karttunen, Jul 28 2023 | 2023-07-29T14:36:56 | oeisdata/seq/A364/A364562.seq | e043ee20c63429cae9c59492dd6b548a |
A364563 | Difference k - A005940(k) computed for those odd numbers k for which the difference is nonnegative. | [
"0",
"0",
"0",
"2",
"6",
"20",
"2",
"48",
"28",
"4",
"110",
"80",
"48",
"18",
"18",
"234",
"202",
"166",
"110",
"132",
"12",
"64",
"42",
"24",
"484",
"446",
"402",
"348",
"360",
"238",
"50",
"68",
"276",
"132",
"246",
"186",
"204",
"240",
"994",
"940",
"884",
"824",
"830",
"690",
"462",
"526",
"722",
"560",
"240",
"192",
"680",
"300",
"596",
"194",
"602",
"614",
"696",
"2012",
"1958",
"1898",
"1794",
"1840",
"1624",
"1336",
"1442",
"1724",
"1458"
]
| [
"nonn",
"look"
]
| 8 | 1 | 4 | [
"A005940",
"A364294",
"A364499",
"A364543",
"A364563"
]
| null | Antti Karttunen, Aug 06 2023 | 2023-08-07T08:32:34 | oeisdata/seq/A364/A364563.seq | 54ec47a7e91b2ef13ae514a349f56bfd |
A364564 | Largest prime factor computed for those odd numbers k for which A156552(k) < k. | [
"1",
"3",
"5",
"3",
"5",
"7",
"5",
"3",
"7",
"5",
"7",
"11",
"7",
"5",
"11",
"3",
"13",
"11",
"7",
"11",
"5",
"5",
"13",
"7",
"11",
"13",
"7",
"17",
"7",
"13",
"17",
"5",
"11",
"3",
"7",
"13",
"11",
"17",
"11",
"7",
"19",
"13",
"7",
"13",
"17",
"11",
"5",
"11",
"5",
"17",
"13",
"7",
"13",
"11",
"13",
"7",
"11",
"17",
"7",
"13",
"17",
"11",
"5",
"19",
"13",
"17",
"19",
"5",
"11",
"13",
"3",
"7",
"19",
"17",
"13",
"11",
"17",
"13",
"11",
"17",
"7",
"11",
"19",
"17",
"7",
"19",
"13",
"13"
]
| [
"nonn"
]
| 9 | 1 | 2 | [
"A006530",
"A156552",
"A364551",
"A364561",
"A364564"
]
| null | Antti Karttunen, Jul 28 2023 | 2023-07-29T15:59:22 | oeisdata/seq/A364/A364564.seq | 1c79c457148c35293cc448fed1643e4c |
A364565 | Numbers k at which point A364557 (the Möbius transform of A005941) is equal to A000010 (Euler phi function). | [
"1",
"2",
"3",
"4",
"5",
"6",
"8",
"10",
"12",
"16",
"20",
"24",
"32",
"40",
"48",
"64",
"80",
"85",
"96",
"128",
"160",
"170",
"192",
"256",
"320",
"340",
"384",
"512",
"640",
"680",
"768",
"1024",
"1280",
"1360",
"1536",
"2048",
"2560",
"2720",
"3072",
"4096",
"5120",
"5440",
"6144",
"8192",
"10240",
"10880",
"12288",
"16384",
"20480",
"21760",
"24576",
"32768",
"40960",
"43520",
"49152",
"65536",
"81920",
"87040",
"98304",
"131072"
]
| [
"nonn"
]
| 6 | 1 | 2 | [
"A000010",
"A029747",
"A364557",
"A364558",
"A364565",
"A364566"
]
| null | Antti Karttunen, Jul 29 2023 | 2023-07-29T15:58:54 | oeisdata/seq/A364/A364565.seq | c7cf74c706442c74cdecdcfbc72ba592 |
A364566 | Numbers k such that A364557(k) < A000010(k), where A364557 is the Möbius transform of A005941, and A000010 is Euler totient function phi. | [
"9",
"15",
"18",
"21",
"25",
"27",
"30",
"33",
"35",
"36",
"42",
"45",
"49",
"50",
"54",
"55",
"60",
"63",
"65",
"66",
"70",
"72",
"75",
"77",
"81",
"84",
"90",
"91",
"98",
"99",
"100",
"105",
"108",
"110",
"117",
"119",
"120",
"121",
"125",
"126",
"130",
"132",
"135",
"140",
"143",
"144",
"147",
"150",
"154",
"162",
"165",
"168",
"169",
"175",
"180",
"182",
"187",
"189",
"195",
"196",
"198",
"200",
"209",
"210",
"216",
"220",
"221",
"225",
"231"
]
| [
"nonn"
]
| 4 | 1 | 1 | [
"A000010",
"A364557",
"A364558",
"A364565",
"A364566"
]
| null | Antti Karttunen, Jul 29 2023 | 2023-07-29T15:59:00 | oeisdata/seq/A364/A364566.seq | e9074d6990b8d8909e6f3462aed77691 |
A364567 | a(n) = A297112(A005940(1+n)), where A297112 is the Möbius transform of A156552 [the inverse of map n -> A005940(1+n)]. | [
"0",
"1",
"2",
"2",
"4",
"2",
"4",
"4",
"8",
"4",
"4",
"4",
"8",
"4",
"8",
"8",
"16",
"8",
"8",
"8",
"8",
"4",
"8",
"8",
"16",
"8",
"8",
"8",
"16",
"8",
"16",
"16",
"32",
"16",
"16",
"16",
"16",
"8",
"16",
"16",
"16",
"8",
"8",
"8",
"16",
"8",
"16",
"16",
"32",
"16",
"16",
"16",
"16",
"8",
"16",
"16",
"32",
"16",
"16",
"16",
"32",
"16",
"32",
"32",
"64",
"32",
"32",
"32",
"32",
"16",
"32",
"32",
"32",
"16",
"16",
"16",
"32",
"16",
"32",
"32",
"32",
"16",
"16",
"16",
"16",
"8",
"16",
"16"
]
| [
"nonn"
]
| 18 | 0 | 3 | [
"A005940",
"A033265",
"A156552",
"A297112",
"A364567",
"A364568",
"A364571"
]
| null | Antti Karttunen, Aug 05 2023 | 2023-08-07T08:32:21 | oeisdata/seq/A364/A364567.seq | 5b940b8becdddffc81e27b9883cd43e2 |
A364568 | a(n) = A290077(n) - A364567(n). | [
"1",
"0",
"0",
"0",
"0",
"0",
"2",
"0",
"-2",
"0",
"4",
"0",
"12",
"2",
"10",
"0",
"-6",
"-2",
"4",
"0",
"16",
"4",
"16",
"0",
"26",
"12",
"32",
"4",
"84",
"10",
"38",
"0",
"-20",
"-6",
"4",
"-4",
"24",
"4",
"20",
"0",
"44",
"16",
"40",
"8",
"104",
"16",
"56",
"0",
"78",
"26",
"68",
"24",
"152",
"32",
"104",
"8",
"262",
"84",
"184",
"20",
"468",
"38",
"130",
"0",
"-48",
"-20",
"-8",
"-12",
"16",
"4",
"28",
"-8",
"40",
"24",
"64",
"8",
"168",
"20",
"76",
"0",
"88",
"44",
"104",
"32"
]
| [
"sign"
]
| 15 | 0 | 7 | [
"A000010",
"A005940",
"A033265",
"A290077",
"A297112",
"A364499",
"A364558",
"A364567",
"A364568"
]
| null | Antti Karttunen, Aug 05 2023 | 2023-08-05T15:46:14 | oeisdata/seq/A364/A364568.seq | 583d8cddbaca197bf6960e613de07a70 |
A364569 | Length of the common prefix in the binary expansions of A156552(n) and n-1 [= A156552(A005940(n))]. | [
"0",
"1",
"2",
"2",
"3",
"3",
"1",
"3",
"1",
"4",
"2",
"4",
"1",
"1",
"1",
"4",
"5",
"1",
"3",
"5",
"2",
"2",
"2",
"5",
"4",
"1",
"2",
"1",
"1",
"1",
"1",
"5",
"4",
"5",
"2",
"1",
"3",
"3",
"3",
"6",
"2",
"2",
"2",
"2",
"5",
"2",
"2",
"6",
"5",
"4",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"6",
"4",
"4",
"5",
"5",
"4",
"2",
"4",
"1",
"3",
"3",
"1",
"3",
"2",
"3",
"3",
"7",
"1",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"5",
"2",
"2",
"2",
"2",
"2",
"7",
"1",
"5",
"1",
"4",
"1",
"1",
"1",
"1",
"1"
]
| [
"nonn"
]
| 8 | 1 | 3 | [
"A005940",
"A156552",
"A347380",
"A364569",
"A364570"
]
| null | Antti Karttunen, Aug 14 2023 | 2023-08-14T19:50:42 | oeisdata/seq/A364/A364569.seq | c2881ca06441ba76671e2d5c56b43e41 |
A364570 | a(n) = A252464(n) - A364569(n), where A364569(n) is the length of the common prefix in the binary expansions of A156552(n) and n-1 [= A156552(A005940(n))]. | [
"0",
"0",
"0",
"0",
"0",
"0",
"3",
"0",
"2",
"0",
"3",
"0",
"5",
"4",
"3",
"0",
"2",
"3",
"5",
"0",
"3",
"4",
"7",
"0",
"0",
"6",
"2",
"5",
"9",
"4",
"10",
"0",
"2",
"3",
"3",
"4",
"9",
"6",
"4",
"0",
"11",
"4",
"12",
"5",
"0",
"8",
"13",
"0",
"0",
"1",
"7",
"7",
"15",
"3",
"5",
"6",
"8",
"10",
"16",
"5",
"17",
"11",
"5",
"0",
"3",
"3",
"14",
"4",
"6",
"4",
"16",
"5",
"18",
"10",
"4",
"7",
"4",
"5",
"19",
"0",
"4",
"12",
"21",
"5",
"6",
"13",
"9",
"6",
"22",
"1",
"5",
"9",
"10",
"14",
"7",
"0",
"24",
"1",
"6"
]
| [
"nonn"
]
| 10 | 1 | 7 | [
"A005940",
"A156552",
"A252464",
"A347381",
"A364569",
"A364570",
"A364960"
]
| null | Antti Karttunen, Aug 14 2023 | 2023-08-14T19:50:48 | oeisdata/seq/A364/A364570.seq | 19ba5521864f9f6f7771ff909d54ed65 |
A364571 | a(n) = A297171(A163511(n)), where A297171 is the Möbius transform of the inverse permutation of A163511. | [
"0",
"1",
"1",
"3",
"2",
"2",
"2",
"7",
"4",
"4",
"2",
"4",
"5",
"3",
"6",
"15",
"8",
"8",
"4",
"8",
"4",
"4",
"4",
"8",
"10",
"10",
"4",
"5",
"13",
"11",
"14",
"31",
"16",
"16",
"8",
"16",
"8",
"8",
"8",
"16",
"8",
"8",
"4",
"8",
"8",
"8",
"8",
"16",
"20",
"20",
"10",
"20",
"7",
"9",
"6",
"9",
"26",
"26",
"12",
"21",
"29",
"27",
"30",
"63",
"32",
"32",
"16",
"32",
"16",
"16",
"16",
"32",
"16",
"16",
"8",
"16",
"16",
"16",
"16",
"32",
"16",
"16",
"8",
"16",
"8",
"8",
"8",
"16",
"16",
"16"
]
| [
"nonn",
"look"
]
| 14 | 0 | 4 | [
"A163511",
"A243071",
"A297171",
"A364567",
"A364571"
]
| null | Antti Karttunen, Aug 05 2023 | 2023-08-06T08:19:53 | oeisdata/seq/A364/A364571.seq | 6291f6110b2ea52648650fad8d0941b9 |
A364572 | Starting from k=7, each subsequent term is the next larger odd k such that A005940(k) >= k and the ratio A005940(k)/k is nearer to 1.0 than for any previous k in the sequence. | [
"7",
"19",
"321",
"139307",
"262365",
"264245",
"528577"
]
| [
"nonn",
"more"
]
| 17 | 1 | 1 | [
"A005940",
"A364572",
"A364573",
"A364576"
]
| null | Antti Karttunen, Aug 06 2023 | 2023-08-06T17:50:52 | oeisdata/seq/A364/A364572.seq | 7d9f5f1c8538e6f3b63bea83f8e6f398 |
A364573 | Starting from k=9, each subsequent term is the next larger odd k such that A005940(k) <= k and the ratio A005940(k)/k is nearer to 1.0 than for any previous k in the sequence. | [
"9",
"35",
"267",
"8353",
"16475",
"16543",
"132175",
"262563",
"295175",
"1115151",
"2098057",
"2109697",
"8651313",
"537938015",
"1073787425"
]
| [
"nonn",
"more"
]
| 13 | 1 | 1 | [
"A005940",
"A364563",
"A364572",
"A364573",
"A364576"
]
| null | Antti Karttunen, Aug 06 2023 | 2023-08-06T18:56:47 | oeisdata/seq/A364/A364573.seq | 9e8b9389ded6819e771e1afe16f58f29 |
A364574 | Dirichlet inverse of A005941. | [
"1",
"-2",
"-3",
"0",
"-5",
"6",
"-9",
"0",
"2",
"10",
"-17",
"0",
"-33",
"18",
"19",
"0",
"-65",
"-4",
"-129",
"0",
"35",
"34",
"-257",
"0",
"12",
"66",
"0",
"0",
"-513",
"-38",
"-1025",
"0",
"67",
"130",
"69",
"0",
"-2049",
"258",
"131",
"0",
"-4097",
"-70",
"-8193",
"0",
"-22",
"514",
"-16385",
"0",
"56",
"-24",
"259",
"0",
"-32769",
"0",
"133",
"0",
"515",
"1026",
"-65537",
"0",
"-131073",
"2050",
"-42",
"0",
"261",
"-134",
"-262145",
"0",
"1027"
]
| [
"sign"
]
| 9 | 1 | 2 | [
"A005941",
"A324640",
"A364574",
"A364575"
]
| null | Antti Karttunen, Aug 05 2023 | 2023-08-05T15:46:43 | oeisdata/seq/A364/A364574.seq | 5bdaf7b4fc3490a9897478297ed24f44 |
A364575 | a(n) = A364574(A005940(1+n)), where A364574 is the Dirichlet inverse of A005941 [the inverse permutation of A005940]. | [
"1",
"-2",
"-3",
"0",
"-5",
"6",
"2",
"0",
"-9",
"10",
"19",
"0",
"12",
"-4",
"0",
"0",
"-17",
"18",
"35",
"0",
"69",
"-38",
"-22",
"0",
"56",
"-24",
"-64",
"0",
"-24",
"0",
"0",
"0",
"-33",
"34",
"67",
"0",
"133",
"-70",
"-42",
"0",
"265",
"-138",
"-339",
"0",
"-276",
"44",
"8",
"0",
"240",
"-112",
"-288",
"0",
"-640",
"128",
"124",
"0",
"-336",
"48",
"176",
"0",
"48",
"0",
"0",
"0",
"-65",
"66",
"131",
"0",
"261",
"-134",
"-82",
"0",
"521",
"-266",
"-659",
"0"
]
| [
"sign",
"look"
]
| 14 | 0 | 2 | [
"A005940",
"A005941",
"A085405",
"A324052",
"A324640",
"A364574",
"A364575"
]
| null | Antti Karttunen, Aug 05 2023 | 2023-08-06T08:18:33 | oeisdata/seq/A364/A364575.seq | 4894b2bb6ce9d7fa15f88198d4e6f57c |
A364576 | Starting from k=1, each subsequent term is the next larger odd k such that A156552(k) < k and the ratio A156552(k)/k is nearer to 1.0 than for any previous k in the sequence. | [
"1",
"3",
"5",
"21",
"323",
"66297",
"139965",
"263375",
"264845",
"528581"
]
| [
"nonn",
"more"
]
| 16 | 1 | 2 | [
"A005940",
"A005941",
"A029747",
"A156552",
"A364551",
"A364561",
"A364564",
"A364572",
"A364576"
]
| null | Antti Karttunen, Aug 06 2023 | 2023-08-06T17:49:45 | oeisdata/seq/A364/A364576.seq | 86db7cc8c26a5fc112ef8ab9d519839f |
A364577 | Lexicographically earliest infinite sequence such that a(i) = a(j) => A294898(i) = A294898(j) and A329697(i) = A329697(j), for all i, j >= 1. | [
"1",
"1",
"2",
"1",
"3",
"4",
"5",
"1",
"5",
"2",
"6",
"7",
"8",
"9",
"10",
"1",
"11",
"12",
"13",
"14",
"15",
"16",
"17",
"18",
"19",
"6",
"20",
"21",
"22",
"23",
"24",
"1",
"25",
"26",
"27",
"28",
"29",
"30",
"17",
"31",
"32",
"33",
"34",
"9",
"35",
"25",
"36",
"37",
"34",
"38",
"39",
"5",
"40",
"41",
"29",
"42",
"43",
"44",
"45",
"46",
"47",
"48",
"49",
"1",
"50",
"51",
"52",
"53",
"54",
"55",
"56",
"57",
"58",
"59",
"44",
"60",
"61",
"41",
"62",
"63",
"34",
"64"
]
| [
"nonn"
]
| 15 | 1 | 3 | [
"A000203",
"A005187",
"A294898",
"A318311",
"A329697",
"A336473",
"A364577"
]
| null | Antti Karttunen, Aug 12 2023 | 2023-08-14T08:34:48 | oeisdata/seq/A364/A364577.seq | 9c52d6664433d4964a74700010b5ac9e |
A364578 | a(n) is the smallest n-digit number whose sum of digits is n. | [
"1",
"11",
"102",
"1003",
"10004",
"100005",
"1000006",
"10000007",
"100000008",
"1000000009",
"10000000019",
"100000000029",
"1000000000039",
"10000000000049",
"100000000000059",
"1000000000000069",
"10000000000000079",
"100000000000000089",
"1000000000000000099",
"10000000000000000199"
]
| [
"nonn",
"base",
"easy"
]
| 34 | 1 | 2 | [
"A051885",
"A202270",
"A364578"
]
| null | Roland Kneer, Aug 14 2023 | 2024-03-31T16:29:22 | oeisdata/seq/A364/A364578.seq | 3559e563ecb8e9694c84b13f42bc6f77 |
A364579 | Fifth Lie-Betti number of a path graph on n vertices. | [
"0",
"0",
"1",
"11",
"48",
"140",
"329",
"668",
"1223",
"2074",
"3316",
"5060",
"7434",
"10584",
"14675",
"19892",
"26441",
"34550",
"44470",
"56476",
"70868",
"87972",
"108141",
"131756",
"159227",
"190994",
"227528",
"269332",
"316942",
"370928",
"431895",
"500484",
"577373",
"663278",
"758954"
]
| [
"nonn"
]
| 14 | 1 | 4 | [
"A088459",
"A360571",
"A361230",
"A362007",
"A364579"
]
| null | Samuel J. Bevins, Aug 14 2023 | 2025-02-16T08:34:06 | oeisdata/seq/A364/A364579.seq | f46955e4cc53c9f74db793054c34b727 |
A364580 | Number of n-step self-avoiding walks on the square Manhattan lattice that do not take two consecutive turns. | [
"1",
"2",
"4",
"6",
"10",
"16",
"26",
"42",
"68",
"110",
"178",
"288",
"460",
"740",
"1192",
"1918",
"3064",
"4910",
"7872",
"12620",
"20114",
"32150",
"51396",
"82160",
"130730",
"208506",
"332616",
"530588",
"843222",
"1342662",
"2138280",
"3405346",
"5406522",
"8597632",
"13674278",
"21748530",
"34501460",
"54807754",
"87077354"
]
| [
"nonn",
"walk"
]
| 27 | 0 | 2 | [
"A117633",
"A364580"
]
| null | David Galvin, Jul 28 2023 | 2023-09-03T00:03:21 | oeisdata/seq/A364/A364580.seq | 142dd4adfb30f2354800468592dfe3d5 |
A364581 | Numbers k such that the number of iterations of psi(phi(x)) starting at x = k and terminating when psi(phi(x)) = x (k is counted), -1 otherwise is the same for phi(psi(k)). | [
"1",
"4",
"8",
"14",
"15",
"16",
"21",
"22",
"26",
"28",
"32",
"39",
"44",
"45",
"46",
"50",
"51",
"52",
"56",
"58",
"64",
"74",
"82",
"85",
"86",
"88",
"92",
"94",
"98",
"100",
"104",
"105",
"111",
"112",
"114",
"116",
"118",
"122",
"128",
"129",
"135",
"142",
"146",
"147",
"148",
"153",
"154",
"159",
"164",
"165",
"166",
"172",
"176",
"178",
"182",
"183",
"184",
"186",
"188"
]
| [
"nonn"
]
| 56 | 1 | 2 | [
"A000010",
"A001615",
"A364581",
"A364631",
"A364642"
]
| null | Torlach Rush, Jul 28 2023 | 2023-09-13T23:12:52 | oeisdata/seq/A364/A364581.seq | 106e8f8db35ed5d6fdf7fa78983e0c9f |
A364582 | a(n) is the least number with exactly n divisors of the form 3*k+1. | [
"1",
"4",
"16",
"28",
"80",
"112",
"320",
"280",
"784",
"560",
"1600",
"1120",
"10000",
"2240",
"3920",
"2800",
"25600",
"5600",
"1310720",
"6160",
"15680",
"11200",
"48400",
"12320",
"110000",
"70000",
"39200",
"24640",
"6553600",
"30800",
"5368709120",
"36400",
"78400",
"179200",
"440000",
"61600",
"343597383680",
"1210000",
"490000",
"80080"
]
| [
"nonn"
]
| 18 | 1 | 2 | [
"A001817",
"A005179",
"A038547",
"A364582",
"A364583"
]
| null | Ilya Gutkovskiy, Jul 28 2023 | 2023-07-31T18:15:26 | oeisdata/seq/A364/A364582.seq | 4f4ed760f1c81a12c580e181e0cf293c |
A364583 | a(n) is the least number with exactly n divisors of the form 3*k+2. | [
"1",
"2",
"8",
"20",
"40",
"80",
"140",
"320",
"280",
"800",
"560",
"5120",
"1120",
"6400",
"2240",
"3920",
"3080",
"40000",
"5600",
"102400",
"6160",
"15680",
"35840",
"20971520",
"12320",
"110000",
"44800",
"39200",
"24640",
"1342177280",
"30800",
"193600",
"40040",
"250880",
"280000",
"440000",
"61600",
"1210000",
"716800",
"313600",
"80080",
"5497558138880"
]
| [
"nonn"
]
| 16 | 0 | 2 | [
"A001822",
"A005179",
"A038547",
"A364582",
"A364583"
]
| null | Ilya Gutkovskiy, Jul 28 2023 | 2023-08-05T23:24:13 | oeisdata/seq/A364/A364583.seq | fb3d1ce00f5aefdfa631b4154c176306 |
A364584 | a(n) is the least number with exactly n divisors of the form 4*k+1. | [
"1",
"5",
"25",
"45",
"441",
"225",
"5103",
"585",
"1575",
"2205",
"35721",
"2925",
"194481",
"25515",
"11025",
"9945",
"2893401",
"17325",
"2711943423",
"28665",
"127575",
"178605",
"480249",
"45045",
"275625",
"972405",
"121275",
"266805",
"18983603961",
"143325",
"1441237924662543",
"135135",
"893025",
"14467005",
"3189375",
"225225"
]
| [
"nonn"
]
| 12 | 1 | 2 | [
"A001826",
"A005179",
"A038547",
"A364584",
"A364585"
]
| null | Ilya Gutkovskiy, Jul 28 2023 | 2023-07-31T18:15:30 | oeisdata/seq/A364/A364584.seq | d68b023ab7eaa618d73cfee5146463e7 |
A364585 | a(n) is the least number with exactly n divisors of the form 4*k+3. | [
"1",
"3",
"15",
"63",
"105",
"567",
"315",
"3969",
"945",
"1575",
"2835",
"413343",
"3465",
"53361",
"19845",
"14175",
"10395",
"1750329",
"17325",
"26040609",
"31185",
"99225",
"480249",
"219667417263",
"45045",
"354375",
"266805",
"121275",
"257985",
"160137547184727",
"155925",
"4322241",
"135135",
"10333575",
"8751645",
"2480625"
]
| [
"nonn"
]
| 10 | 0 | 2 | [
"A001842",
"A005179",
"A038547",
"A364584",
"A364585"
]
| null | Ilya Gutkovskiy, Jul 28 2023 | 2023-08-01T15:14:59 | oeisdata/seq/A364/A364585.seq | fce79211a282239182b0998d935f1d4c |
A364586 | a(n) is the least number with exactly n divisors of the form 5*k+1. | [
"1",
"6",
"36",
"66",
"252",
"336",
"672",
"1008",
"3528",
"2016",
"4032",
"3696",
"9072",
"7392",
"13104",
"11088",
"36288",
"38304",
"26208",
"22176",
"68544",
"44352",
"91728",
"66528",
"154224",
"99792",
"209664",
"96096",
"301392",
"144144",
"222768",
"188496",
"487872",
"399168",
"471744",
"421344",
"1079568",
"288288",
"1097712",
"432432"
]
| [
"nonn"
]
| 14 | 1 | 2 | [
"A001876",
"A005179",
"A038547",
"A364586",
"A364598",
"A364599",
"A364600"
]
| null | Ilya Gutkovskiy, Jul 28 2023 | 2025-01-28T01:45:09 | oeisdata/seq/A364/A364586.seq | f04ca1d793a5f1cddcd23a4af36ed048 |
A364587 | Clique covering number, independence number, and Shannon capacity of the n-Lucas cube graph. | [
"1",
"2",
"3",
"4",
"6",
"10",
"15",
"24",
"39",
"62",
"100",
"162",
"261",
"422",
"683",
"1104",
"1786",
"2890",
"4675",
"7564",
"12239",
"19802",
"32040",
"51842",
"83881",
"135722",
"219603",
"355324",
"574926",
"930250",
"1505175",
"2435424",
"3940599",
"6376022",
"10316620",
"16692642",
"27009261",
"43701902",
"70711163",
"114413064"
]
| [
"nonn"
]
| 23 | 1 | 2 | null | null | Eric W. Weisstein, Jul 29 2023 | 2025-02-16T08:34:06 | oeisdata/seq/A364/A364587.seq | c34ace1d349f3fbd6824769c156ebba0 |
A364588 | G.f. satisfies A(x) = 1/(1-x) + x^2*A(x)^4. | [
"1",
"1",
"2",
"5",
"15",
"49",
"170",
"613",
"2275",
"8629",
"33301",
"130333",
"516077",
"2063685",
"8321892",
"33803161",
"138181521",
"568031297",
"2346668400",
"9737766513",
"40569611691",
"169632827345",
"711611670532",
"2994165070045",
"12632782541053",
"53433933353885",
"226540298098019"
]
| [
"nonn",
"easy"
]
| 10 | 0 | 3 | [
"A049130",
"A090344",
"A226974",
"A349289",
"A364588",
"A364591"
]
| null | Seiichi Manyama, Jul 29 2023 | 2023-07-29T10:46:28 | oeisdata/seq/A364/A364588.seq | 1da6350e3a4e96d9e6240881c361194c |
A364589 | G.f. satisfies A(x) = 1/(1-x) + x^3*A(x)^3. | [
"1",
"1",
"1",
"2",
"4",
"7",
"14",
"31",
"67",
"146",
"331",
"760",
"1749",
"4072",
"9583",
"22673",
"53929",
"129055",
"310328",
"749152",
"1815481",
"4415313",
"10771564",
"26352955",
"64644926",
"158963191",
"391767016",
"967523138",
"2394060433",
"5934576763",
"14735792889",
"36647185192",
"91274339014",
"227645446307"
]
| [
"nonn",
"easy"
]
| 10 | 0 | 4 | [
"A049130",
"A199475",
"A216604",
"A226974",
"A364589",
"A364590"
]
| null | Seiichi Manyama, Jul 29 2023 | 2023-07-29T10:38:39 | oeisdata/seq/A364/A364589.seq | b28aba41e6d96eb5da7a8999293e2c7c |
A364590 | G.f. satisfies A(x) = 1/(1-x) + x^4*A(x)^3. | [
"1",
"1",
"1",
"1",
"2",
"4",
"7",
"11",
"19",
"37",
"74",
"142",
"268",
"518",
"1033",
"2077",
"4152",
"8290",
"16687",
"33899",
"69148",
"141160",
"288650",
"592354",
"1220086",
"2519226",
"5210164",
"10794088",
"22408556",
"46613554",
"97125751",
"202662419",
"423459427",
"886048249",
"1856448852",
"3894362560",
"8178530890"
]
| [
"nonn",
"easy"
]
| 11 | 0 | 5 | [
"A049130",
"A199475",
"A346073",
"A364589",
"A364590",
"A364591"
]
| null | Seiichi Manyama, Jul 29 2023 | 2023-07-29T10:48:24 | oeisdata/seq/A364/A364590.seq | a992e71afa1eb091fdcca31d6b810b0c |
A364591 | G.f. satisfies A(x) = 1/(1-x) + x^4*A(x)^4. | [
"1",
"1",
"1",
"1",
"2",
"5",
"11",
"21",
"40",
"85",
"197",
"457",
"1028",
"2289",
"5193",
"12069",
"28338",
"66445",
"155563",
"365701",
"865815",
"2061133",
"4919431",
"11758741",
"28165412",
"67657225",
"162977081",
"393445865",
"951438682",
"2304494349",
"5591221729",
"13588455861",
"33075115578",
"80616857525",
"196742749155"
]
| [
"nonn",
"easy"
]
| 10 | 0 | 5 | [
"A226974",
"A346073",
"A349289",
"A364588",
"A364590",
"A364591"
]
| null | Seiichi Manyama, Jul 29 2023 | 2023-07-29T10:54:05 | oeisdata/seq/A364/A364591.seq | cceb1783c2de2b5f9c3b371da82c8992 |
A364592 | G.f. satisfies A(x) = 1/(1-x) + x*(1-x)*A(x)^4. | [
"1",
"2",
"8",
"49",
"365",
"3001",
"26193",
"238119",
"2230151",
"21368167",
"208459419",
"2063563791",
"20675793627",
"209277092776",
"2136720896514",
"21979879393677",
"227582114799201",
"2369983696546858",
"24806423607475896",
"260829829404493787",
"2753744691645428399"
]
| [
"nonn",
"easy"
]
| 9 | 0 | 2 | [
"A014137",
"A188687",
"A364592",
"A364594",
"A364596"
]
| null | Seiichi Manyama, Jul 29 2023 | 2023-07-29T10:51:53 | oeisdata/seq/A364/A364592.seq | f46b144bf1a24a520e03d3c3fbb86fbb |
A364593 | G.f. satisfies A(x) = 1/(1-x) + x^2*(1-x)*A(x)^3. | [
"1",
"1",
"2",
"3",
"7",
"14",
"36",
"85",
"228",
"587",
"1612",
"4354",
"12166",
"33832",
"95876",
"271803",
"779287",
"2239584",
"6483386",
"18823945",
"54932299",
"160771540",
"472322632",
"1391323310",
"4110685812",
"12173949214",
"36141795088",
"107521223008",
"320531857144",
"957289637952",
"2864055208772"
]
| [
"nonn",
"easy"
]
| 9 | 0 | 3 | [
"A110199",
"A364593",
"A364594"
]
| null | Seiichi Manyama, Jul 29 2023 | 2023-07-29T10:49:47 | oeisdata/seq/A364/A364593.seq | d7f82edb55dfb8ab256cacc8ef7df9cc |
A364594 | G.f. satisfies A(x) = 1/(1-x) + x^2*(1-x)*A(x)^4. | [
"1",
"1",
"2",
"4",
"11",
"31",
"98",
"316",
"1065",
"3649",
"12775",
"45299",
"162713",
"590097",
"2159015",
"7957003",
"29517141",
"110116277",
"412879256",
"1555048142",
"5880591163",
"22319380999",
"84992915958",
"324634976440",
"1243396473153",
"4774504667881",
"18376620653851",
"70883537152927"
]
| [
"nonn",
"easy"
]
| 11 | 0 | 3 | [
"A110199",
"A364592",
"A364593",
"A364594",
"A364596"
]
| null | Seiichi Manyama, Jul 29 2023 | 2023-07-29T10:52:49 | oeisdata/seq/A364/A364594.seq | 9116dea7ca70219c416cc4b8357fff3a |
A364595 | G.f. satisfies A(x) = 1/(1-x) + x^3*(1-x)*A(x)^3. | [
"1",
"1",
"1",
"2",
"3",
"4",
"8",
"15",
"25",
"50",
"102",
"193",
"390",
"815",
"1645",
"3385",
"7141",
"14893",
"31196",
"66309",
"140752",
"299043",
"640367",
"1373929",
"2950006",
"6360976",
"13749865",
"29753891",
"64547097",
"140329453",
"305470485",
"666084272",
"1454920255",
"3181946080",
"6968134645",
"15280422274"
]
| [
"nonn",
"easy"
]
| 9 | 0 | 4 | [
"A364595",
"A364596",
"A364597"
]
| null | Seiichi Manyama, Jul 29 2023 | 2023-07-29T10:50:46 | oeisdata/seq/A364/A364595.seq | 19316a34d790878255b3d9391fc6e1ae |
A364596 | G.f. satisfies A(x) = 1/(1-x) + x^3*(1-x)*A(x)^4. | [
"1",
"1",
"1",
"2",
"4",
"7",
"15",
"36",
"82",
"191",
"471",
"1166",
"2884",
"7267",
"18523",
"47349",
"121821",
"315781",
"822165",
"2148811",
"5641035",
"14864295",
"39287907",
"104154066",
"276899112",
"737984583",
"1971375679",
"5277570860",
"14156881590",
"38045460023",
"102421374775",
"276174537027",
"745822179831"
]
| [
"nonn",
"easy"
]
| 11 | 0 | 4 | [
"A215340",
"A226974",
"A364592",
"A364594",
"A364595",
"A364596",
"A364597"
]
| null | Seiichi Manyama, Jul 29 2023 | 2023-07-29T10:55:13 | oeisdata/seq/A364/A364596.seq | 9d3f184eaf8c10bc4c8663a4462728b0 |
A364597 | G.f. satisfies A(x) = 1/(1-x) + x^3*(1-x)*A(x)^5. | [
"1",
"1",
"1",
"2",
"5",
"11",
"26",
"71",
"197",
"540",
"1521",
"4401",
"12826",
"37597",
"111385",
"332861",
"1000181",
"3021071",
"9174308",
"27987989",
"85712801",
"263438881",
"812394661",
"2512807846",
"7793552386",
"24233089051",
"75526196851",
"235897169106",
"738271145577",
"2314825565700",
"7270693111431"
]
| [
"nonn",
"easy"
]
| 9 | 0 | 4 | [
"A364595",
"A364596",
"A364597"
]
| null | Seiichi Manyama, Jul 29 2023 | 2023-07-29T10:56:10 | oeisdata/seq/A364/A364597.seq | 5ed5965cf9f67400ca09242b6d0c1fd6 |
A364598 | a(n) is the least number with exactly n divisors of the form 5*k+2. | [
"1",
"2",
"12",
"42",
"84",
"252",
"462",
"672",
"924",
"2016",
"2772",
"4032",
"5544",
"9072",
"7392",
"17136",
"14784",
"26208",
"22176",
"34272",
"33264",
"52416",
"44352",
"119952",
"66528",
"117936",
"99792",
"183456",
"125664",
"222768",
"188496",
"235872",
"199584",
"487872",
"288288",
"616896",
"399168",
"1206576",
"376992",
"1097712",
"432432"
]
| [
"nonn"
]
| 11 | 0 | 2 | [
"A001877",
"A005179",
"A038547",
"A364586",
"A364598",
"A364599",
"A364600"
]
| null | Ilya Gutkovskiy, Jul 29 2023 | 2025-01-28T01:44:38 | oeisdata/seq/A364/A364598.seq | 80121b66d68e9663dbd3b85649ec2248 |
A364599 | a(n) is the least number with exactly n divisors of the form 5*k+3. | [
"1",
"3",
"18",
"48",
"144",
"288",
"504",
"1248",
"1008",
"2016",
"3024",
"4368",
"5544",
"14112",
"12096",
"17136",
"11088",
"34272",
"22176",
"26208",
"33264",
"52416",
"48048",
"91728",
"66528",
"117936",
"155232",
"183456",
"133056",
"235872",
"188496",
"222768",
"144144",
"528528",
"376992",
"616896",
"421344",
"825552",
"288288",
"1707552",
"432432"
]
| [
"nonn"
]
| 11 | 0 | 2 | [
"A001878",
"A005179",
"A038547",
"A364586",
"A364598",
"A364599",
"A364600"
]
| null | Ilya Gutkovskiy, Jul 29 2023 | 2025-01-28T01:44:03 | oeisdata/seq/A364/A364599.seq | 148baf0a4fab3e9091a0ca7cb83c1171 |
A364600 | a(n) is the least number with exactly n divisors of the form 5*k+4. | [
"1",
"4",
"24",
"72",
"144",
"432",
"504",
"1008",
"1512",
"3528",
"3024",
"7056",
"5544",
"14112",
"11088",
"13104",
"16632",
"26208",
"36288",
"63504",
"33264",
"68544",
"77616",
"127008",
"66528",
"154224",
"155232",
"209664",
"133056",
"222768",
"144144",
"301392",
"216216",
"853776",
"288288",
"471744",
"399168",
"825552",
"698544",
"1707552",
"432432"
]
| [
"nonn"
]
| 11 | 0 | 2 | [
"A001899",
"A005179",
"A038547",
"A364586",
"A364598",
"A364599",
"A364600"
]
| null | Ilya Gutkovskiy, Jul 29 2023 | 2025-01-28T01:44:15 | oeisdata/seq/A364/A364600.seq | d5e08ad93bb6ec409a835043ddfb0126 |
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