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christopher
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oeis

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1999-12-11 03:00:00
2025-04-25 01:21:50
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A360401
a(n) = A356133(A360393(n)).
[ "2", "4", "11", "17", "25", "38", "43", "56", "64", "71", "79", "92", "101", "106", "119", "124", "133", "146", "151", "164", "173", "178", "191", "197", "206", "218", "227", "233", "242", "253", "260", "272", "280", "287", "295", "308", "317", "322", "335", "341", "350", "362", "371", "377", "385", "398", "403", "415", "425", "430", "443", "449", "457", "470" ]
[ "nonn", "easy" ]
4
0
5
[ "A026530", "A286354", "A286355", "A356133", "A360392", "A360393", "A360394", "A360398", "A360401", "A360402", "A360405" ]
null
Clark Kimberling, Mar 11 2023
2023-03-24T17:58:14
oeisdata/seq/A360/A360401.seq
a8afc1071de0b9772bfd77ca245acefb
A360402
a(n) = A360392(A026430(n)).
[ "3", "7", "10", "11", "14", "16", "17", "20", "23", "25", "26", "29", "30", "33", "37", "38", "41", "43", "44", "47", "48", "52", "54", "56", "57", "61", "63", "65", "68", "70", "71", "74", "77", "79", "80", "83", "84", "88", "90", "92", "93", "97", "100", "101", "104", "105", "107", "110", "111", "115", "118", "119", "122", "123", "125", "128", "131", "132", "134", "137" ]
[ "nonn", "easy" ]
15
0
5
[ "A026530", "A3546352", "A360392", "A360393", "A360394", "A360398", "A360401", "A360402", "A360403", "A360404", "A360405" ]
null
Clark Kimberling, Mar 11 2023
2023-03-25T12:00:57
oeisdata/seq/A360/A360402.seq
4d69718c329507b92fcee8a4bb075ef7
A360403
a(n) = A360393(A026430(n)).
[ "1", "4", "9", "13", "19", "22", "24", "31", "36", "40", "42", "49", "51", "58", "64", "66", "73", "76", "78", "85", "87", "94", "99", "103", "106", "112", "117", "121", "126", "129", "133", "139", "144", "148", "150", "157", "159", "166", "171", "175", "178", "184", "189", "193", "199", "202", "204", "210", "213", "220", "225", "229", "235", "238", "240", "246", "253" ]
[ "nonn", "easy" ]
18
0
5
[ "A026530", "A3546352", "A360392", "A360393", "A360394", "A360398", "A360401", "A360402", "A360403", "A360404", "A360405" ]
null
Clark Kimberling, Mar 11 2023
2023-03-28T07:33:26
oeisdata/seq/A360/A360403.seq
e074862150fd58429893a13c80009466
A360404
a(n) = A360392(A356133(n)).
[ "5", "8", "12", "18", "21", "28", "32", "35", "39", "46", "50", "53", "59", "62", "67", "72", "75", "82", "86", "89", "95", "98", "102", "109", "113", "116", "120", "127", "130", "136", "140", "143", "147", "154", "158", "161", "167", "170", "174", "181", "185", "188", "192", "198", "201", "207", "212", "215", "221", "224", "228", "234", "237", "243", "248", "251" ]
[ "nonn", "easy" ]
4
0
5
[ "A026530", "A3546352", "A360392", "A360393", "A360394", "A360398", "A360401", "A360402", "A360403", "A360404", "A360405" ]
null
Clark Kimberling, Apr 01 2023
2023-04-01T22:03:59
oeisdata/seq/A360/A360404.seq
b1c772f9703b419ac3cd9aaaa92d45bc
A360405
a(n) = A360393(A356133(n)).
[ "2", "6", "15", "27", "34", "45", "55", "60", "69", "81", "91", "96", "108", "114", "124", "135", "142", "153", "163", "168", "180", "186", "195", "208", "217", "222", "231", "244", "249", "262", "271", "276", "285", "297", "307", "312", "324", "330", "339", "352", "361", "366", "375", "387", "394", "405", "414", "421", "432", "438", "447", "459", "466", "477" ]
[ "nonn", "easy" ]
4
0
5
[ "A026530", "A3546352", "A360392", "A360393", "A360394", "A360398", "A360401", "A360402", "A360403", "A360404", "A360405" ]
null
Clark Kimberling, Apr 01 2023
2023-04-01T22:04:07
oeisdata/seq/A360/A360405.seq
cb5235ee2c79043f3959fca45a2d3b8c
A360406
a(n) = minimal positive k such that prime(n) * prime(n+1) * ... * prime(n+k) - 1 is divisible by prime(n+k+1), or -1 if no such k exists.
[ "1", "1", "9", "14", "31", "826", "1", "34" ]
[ "nonn", "more" ]
17
0
5
[ "A000040", "A007504", "A332542", "A332580", "A360297", "A360376", "A360406" ]
null
Scott R. Shannon, Feb 06 2023
2023-02-22T08:08:29
oeisdata/seq/A360/A360406.seq
94254022913586bfffe563019e9b7432
A360407
Irregular table T(n, k), n >= 0, k = 0..A002110(n)-1, read by rows; for any k with primorial base expansion (d_n, ..., d_1), T(n, k) is the least number t such that t mod prime(u) = d_u for u = 1..n (where prime(u) denotes the u-th prime number).
[ "0", "0", "1", "0", "3", "4", "1", "2", "5", "0", "15", "10", "25", "20", "5", "6", "21", "16", "1", "26", "11", "12", "27", "22", "7", "2", "17", "18", "3", "28", "13", "8", "23", "24", "9", "4", "19", "14", "29", "0", "105", "70", "175", "140", "35", "126", "21", "196", "91", "56", "161", "42", "147", "112", "7", "182", "77", "168", "63", "28", "133", "98", "203", "84", "189", "154", "49" ]
[ "nonn", "base", "tabf" ]
9
0
5
[ "A002110", "A057588", "A070826", "A343404", "A360407" ]
null
Rémy Sigrist, Feb 06 2023
2023-02-08T14:47:05
oeisdata/seq/A360/A360407.seq
19088d5a13b0cba722ac2eb840952fe0
A360408
The maximum number of facets among all symmetric edge polytopes for connected graphs on n vertices having m edges for n >= 2 and m between n-1 and binomial(n,2).
[ "2", "4", "6", "8", "12", "12", "14", "16", "30", "36", "28", "28", "28", "30", "32", "60", "72", "72", "84", "68", "68", "60", "60", "60", "62", "64", "140", "180", "216", "168", "168", "196", "180", "148", "148", "132", "132", "124", "124", "124", "126", "128", "280", "360", "432", "432", "504", "408", "408", "392", "420", "360", "372", "324", "308", "276", "276", "260", "260", "252", "252", "252", "254" ]
[ "nonn", "tabf" ]
24
0
5
[ "A000079", "A360408", "A360409" ]
null
Benjamin Braun, Feb 06 2023
2023-03-04T22:32:15
oeisdata/seq/A360/A360408.seq
3469a34715a2b2336717e78df749aa2b
A360409
The minimum number of facets among all symmetric edge polytopes for connected graphs on n vertices having m edges for n >= 2 and m between n-1 and binomial(n,2).
[ "2", "4", "6", "8", "6", "12", "14", "16", "12", "10", "22", "26", "28", "30", "32", "20", "18", "16", "14", "42", "54", "56", "58", "60", "62", "64", "40", "32", "28", "26", "24", "22", "78", "102", "106", "116", "118", "120", "122", "124", "126", "128", "70", "56", "50", "44", "38", "36", "34", "32", "30", "150", "206", "210", "230", "234", "240", "244", "246", "248", "250", "252", "254" ]
[ "nonn", "tabf" ]
23
0
5
[ "A360408", "A360409" ]
null
Benjamin Braun, Feb 06 2023
2023-02-19T18:00:31
oeisdata/seq/A360/A360409.seq
25b7cb9eba5d579c69e7a63713d96108
A360410
Number of passports of index n subgroups in PSL_2 (ZZ).
[ "1", "1", "2", "2", "1", "8", "4", "5", "12", "12", "7", "48", "24", "35", "75", "80", "37", "269", "114", "193", "404", "359", "174", "1357", "519", "722", "1664", "1784", "776", "4995", "2054" ]
[ "nonn", "more" ]
20
0
5
[ "A005133", "A121350", "A360410" ]
null
David Berghaus, Feb 06 2023
2023-09-02T11:27:40
oeisdata/seq/A360/A360410.seq
e7c3d9036bf2176b2c5239b85631aa32
A360411
Numbers k such that k*(k+1) does not contain the digit 2.
[ "2", "5", "7", "9", "10", "12", "17", "19", "22", "24", "25", "27", "29", "30", "32", "34", "37", "39", "40", "42", "44", "55", "57", "59", "60", "62", "64", "67", "69", "70", "74", "75", "77", "80", "82", "84", "85", "87", "89", "90", "92", "94", "97", "99", "100", "102", "105", "107", "109", "114", "115", "117", "122", "124", "125", "129", "130", "132", "134", "135", "137", "139", "140", "174", "175", "177", "182", "184", "185" ]
[ "nonn", "base" ]
31
0
5
null
null
Robert Israel, Feb 12 2023
2023-02-16T19:40:44
oeisdata/seq/A360/A360411.seq
a3cfdaa327de87f0a38feeaabf906fb4
A360412
Number of binary words of length 2n with an even number of 1's which are not shuffle squares.
[ "0", "0", "2", "10", "46", "192", "780", "3090", "12136", "47100", "181820", "697856", "2667642", "10157814", "38563342", "146002012", "551483230", "2078722874", "7821121318", "29378487188" ]
[ "nonn", "more" ]
21
0
5
[ "A191755", "A360412" ]
null
Bartlomiej Pawlik, Feb 07 2023
2023-03-06T10:27:44
oeisdata/seq/A360/A360412.seq
e6f5b73759694c4b7ad86cdf5c0e5b20
A360413
Irregular table T(n, k), n >= 0, k = 1..A002487(n+1), read by rows; the n-th row lists the numbers k such that A065361(k) = n.
[ "0", "1", "2", "3", "4", "5", "6", "9", "7", "10", "8", "11", "12", "13", "14", "15", "18", "27", "16", "19", "28", "17", "20", "21", "29", "30", "22", "31", "23", "24", "32", "33", "36", "25", "34", "37", "26", "35", "38", "39", "40", "41", "42", "45", "54", "81", "43", "46", "55", "82", "44", "47", "48", "56", "57", "83", "84", "49", "58", "85", "50", "51", "59", "60", "63", "86", "87", "90" ]
[ "nonn", "base", "tabf" ]
11
0
5
[ "A002487", "A005836", "A032924", "A065361", "A360413", "A360414" ]
null
Rémy Sigrist, Feb 06 2023
2023-02-08T14:47:27
oeisdata/seq/A360/A360413.seq
4806f289d96564209e42f1f150bc27be
A360414
Inverse permutation to A360413.
[ "0", "1", "2", "3", "4", "5", "6", "8", "10", "7", "9", "11", "12", "13", "14", "15", "18", "21", "16", "19", "22", "23", "26", "28", "29", "33", "36", "17", "20", "24", "25", "27", "30", "31", "34", "37", "32", "35", "38", "39", "40", "41", "42", "46", "50", "43", "47", "51", "52", "57", "60", "61", "68", "73", "44", "48", "53", "54", "58", "62", "63", "69", "74", "64", "70", "75", "76", "80" ]
[ "nonn", "base" ]
7
0
5
[ "A360413", "A360414" ]
null
Rémy Sigrist, Feb 06 2023
2023-02-08T14:47:10
oeisdata/seq/A360/A360414.seq
aeb55fb6b70310301fcba7b70bd491fe
A360415
a(n) is the greatest number k not yet in the sequence such that A065361(n) = A065361(k).
[ "0", "1", "3", "2", "4", "9", "6", "10", "12", "5", "7", "11", "8", "13", "27", "18", "28", "30", "15", "19", "29", "21", "31", "36", "33", "37", "39", "14", "16", "20", "17", "22", "32", "24", "34", "38", "23", "25", "35", "26", "40", "81", "54", "82", "84", "45", "55", "83", "57", "85", "90", "87", "91", "93", "42", "46", "56", "48", "58", "86", "63", "88", "92", "60", "64", "89", "66", "94" ]
[ "nonn", "base" ]
11
0
5
[ "A002487", "A005836", "A032924", "A065361", "A360413", "A360415", "A360434" ]
null
Rémy Sigrist, Feb 06 2023
2023-02-08T14:47:34
oeisdata/seq/A360/A360415.seq
4421863045d2dd87e0e2c95328acc63e
A360416
a(n) = 8*n^2 - 9*n + 3.
[ "3", "2", "17", "48", "95", "158", "237", "332", "443", "570", "713", "872", "1047", "1238", "1445", "1668", "1907", "2162", "2433", "2720", "3023", "3342", "3677", "4028", "4395", "4778", "5177", "5592", "6023", "6470", "6933", "7412", "7907", "8418", "8945", "9488", "10047", "10622", "11213", "11820", "12443", "13082", "13737", "14408", "15095" ]
[ "nonn", "easy" ]
25
0
5
[ "A360416", "A360417", "A360418" ]
null
James Propp, Feb 06 2023
2025-02-10T15:15:27
oeisdata/seq/A360/A360416.seq
1198cf6adabfe89e6a59935d30996527
A360417
a(n) = 8*n^2 - 7*n + 2.
[ "2", "3", "20", "53", "102", "167", "248", "345", "458", "587", "732", "893", "1070", "1263", "1472", "1697", "1938", "2195", "2468", "2757", "3062", "3383", "3720", "4073", "4442", "4827", "5228", "5645", "6078", "6527", "6992", "7473", "7970", "8483", "9012", "9557", "10118", "10695", "11288", "11897", "12522", "13163", "13820", "14493", "15182" ]
[ "nonn", "easy" ]
35
0
5
[ "A051870", "A125201", "A360416", "A360417", "A360418" ]
null
James Propp, Feb 06 2023
2025-02-10T15:17:53
oeisdata/seq/A360/A360417.seq
96095db74941574b46261aa421a7e30c
A360418
Numbers k such that, in a listing of all congruence classes of positive integers, the k-th congruence class contains k. Here the class r mod m (with r in {1,...,m}) precedes the class a' mod b' (with r' in {1,...,m'}) iff m < m' or r > r'.
[ "1", "2", "3", "5", "13", "17", "20", "25", "41", "48", "53", "61", "85", "95", "102", "113", "145", "158", "167", "181", "221", "237", "248", "265", "313", "332", "345", "365", "421", "443", "458", "481", "545", "570", "587", "613", "685", "713", "732", "761", "841", "872", "893", "925", "1013", "1047", "1070", "1105", "1201", "1238", "1263", "1301", "1405", "1445", "1472", "1513", "1625", "1668", "1697", "1741", "1861" ]
[ "nonn", "easy" ]
25
0
5
[ "A002024", "A004736", "A007607", "A080856", "A102083", "A360416", "A360417", "A360418" ]
null
James Propp, Feb 06 2023
2025-02-10T16:14:19
oeisdata/seq/A360/A360418.seq
e9b25c7420de72fbd5d4680876ca1305
A360419
a(n) = the number of U-frame polyominoes with n cells, reduced for symmetry.
[ "0", "0", "0", "0", "1", "2", "5", "9", "16", "24", "37", "50", "71", "93", "121", "151", "192", "231", "285", "338", "398", "470", "548", "626", "723", "827", "924", "1056", "1175", "1314", "1454", "1629", "1763", "1985", "2138", "2356", "2540", "2820", "2976", "3305", "3491", "3834", "4039", "4441", "4613", "5103", "5291", "5775", "5999", "6572" ]
[ "nonn" ]
15
0
5
[ "A028247", "A270060", "A360419", "A360420", "A360421" ]
null
John Mason, Feb 06 2023
2023-02-23T13:21:30
oeisdata/seq/A360/A360419.seq
01b010dcddde65def63d64d6e4d3673f
A360420
a(n) = the number of Z-frame polyominoes with n cells, reduced for symmetry.
[ "0", "0", "0", "1", "2", "6", "10", "19", "27", "43", "58", "85", "105", "143", "175", "226", "266", "334", "386", "475", "534", "641", "717", "854", "933", "1092", "1187", "1385", "1482", "1713", "1820", "2091", "2203", "2511", "2637", "2998", "3110", "3516", "3647", "4118", "4226", "4761", "4865", "5461", "5576", "6221", "6319", "7088", "7138", "7953" ]
[ "nonn" ]
14
0
5
[ "A028247", "A270060", "A360419", "A360420", "A360421" ]
null
John Mason, Feb 06 2023
2023-02-11T02:26:25
oeisdata/seq/A360/A360420.seq
63f26ec870cd756a4cfd1e3680df869a
A360421
a(n) = the number of X-frame polyominoes with n cells, reduced for symmetry.
[ "0", "0", "0", "0", "1", "2", "7", "20", "49", "109", "216", "414", "723", "1228", "1958", "3065", "4580", "6734" ]
[ "nonn", "more" ]
16
0
5
[ "A028247", "A270060", "A360419", "A360420", "A360421" ]
null
John Mason, Feb 06 2023
2023-02-18T21:15:24
oeisdata/seq/A360/A360421.seq
4a476c54cb0dea6a89806036bfb62970
A360422
Numbers k such that k^2 + (sum of fourth powers of the digits of k^2) is a square.
[ "0", "89", "137", "6985" ]
[ "nonn", "bref", "fini", "full", "base" ]
11
0
5
[ "A055013", "A360422", "A360424" ]
null
Robert Israel and Will Gosnell, Feb 06 2023
2023-02-13T02:28:32
oeisdata/seq/A360/A360422.seq
11aef866e95fa01c7a935f0994cc3072
A360423
Positive integers n (with k digits) such that if a positive integer m with k+1 digits is divisible by n, then all the rotations of m are divisible by n.
[ "1", "3", "9", "27", "37", "101", "303", "909", "2439", "10101", "10989", "12987", "15873", "25641", "27027", "30303", "37037", "47619", "76923", "90909", "1010101", "1369863", "3030303", "9090909", "12345679", "27027027", "37037037", "101010101", "243902439", "303030303", "909090909", "10101010101", "10989010989", "12987012987", "15873015873" ]
[ "nonn", "base" ]
29
0
5
[ "A034089", "A066484", "A360423" ]
null
Robert C. Lyons, Feb 14 2023
2023-02-24T18:37:08
oeisdata/seq/A360/A360423.seq
1e9b70fdd28e41bb33d471afa65a3ef5
A360424
Array read by rows: row n consists of the numbers k such that k^2 + (sum of n-th powers of the digits of k^2) is a square.
[ "0", "0", "6", "0", "0", "89", "137", "6985", "0", "3072", "0", "68", "8346", "213202", "470102", "540674", "1014879", "0", "106329", "0", "37941", "1582656", "9244855", "45046529", "0", "1239", "5496", "14247", "490065" ]
[ "nonn", "tabf", "base", "more" ]
21
0
5
[ "A360422", "A360424" ]
null
Robert Israel, Feb 06 2023
2024-06-03T18:37:53
oeisdata/seq/A360/A360424.seq
d91ade6408024cec6dd13d9ca893719f
A360425
Indices of records in A018804.
[ "1", "2", "3", "4", "5", "6", "8", "9", "10", "12", "15", "16", "18", "20", "24", "28", "30", "36", "40", "42", "48", "54", "56", "60", "72", "80", "84", "90", "105", "108", "120", "140", "144", "168", "180", "210", "240", "252", "270", "280", "288", "300", "330", "336", "360", "420", "480", "504", "540", "600", "630", "660", "720", "840", "990", "1008", "1080", "1200" ]
[ "nonn" ]
66
0
5
[ "A000040", "A018804", "A360425" ]
null
Matthew Russell Downey, Feb 08 2023
2023-08-12T01:20:00
oeisdata/seq/A360/A360425.seq
9b8eec57dfdd4ece448e982e18deba86
A360426
Number of permutations of [2n] having exactly n alternating up/down runs where the first run is not a down run.
[ "1", "1", "6", "118", "4788", "325446", "33264396", "4766383420", "911323052520", "224136553339270", "68929638550210620", "25914939202996628148", "11693626371194331008088", "6236691723226152102621084", "3881046492003600271067466744", "2786922888404654795314066258488", "2287283298159853722760705106305488" ]
[ "nonn" ]
32
0
5
[ "A000111", "A008970", "A059427", "A360426" ]
null
Alois P. Heinz, Feb 08 2023
2023-02-18T03:41:55
oeisdata/seq/A360/A360426.seq
eac3726ad0db5c8443f1b5e8992c7b03
A360427
Values of the argument at successive record minima of the function R defined as follows. For any integer x >= 1, let y > x be the smallest integer such that there exist integers x < c < d < y such that x^3 + y^3 = c^3 + d^3. Then R(x) = y/x.
[ "1", "2", "8", "9", "10", "17", "30", "42", "51", "135", "156", "285", "792", "1634", "3751", "4026", "6192", "14934", "15768", "16147", "45121", "58230", "61389", "79876", "167757", "177560", "213652", "525537", "917324", "1050787", "2237052", "3954983", "4157802" ]
[ "nonn", "more" ]
41
0
5
[ "A001235", "A011541", "A360427" ]
null
Giedrius Alkauskas, Feb 07 2023
2025-01-08T11:38:15
oeisdata/seq/A360/A360427.seq
0b5f6263d3899d7512402fc7ca3692b2
A360428
Inverse Mobius transformation of A338164.
[ "1", "7", "17", "40", "49", "119", "97", "208", "225", "343", "241", "680", "337", "679", "833", "1024", "577", "1575", "721", "1960", "1649", "1687", "1057", "3536", "1825", "2359", "2673", "3880", "1681", "5831", "1921", "4864", "4097", "4039", "4753", "9000", "2737", "5047", "5729", "10192", "3361", "11543", "3697", "9640", "11025", "7399", "4417", "17408", "7105", "12775" ]
[ "nonn", "mult", "easy" ]
21
0
5
[ "A000005", "A001620", "A007434", "A008683", "A018804", "A069097", "A338164", "A360428" ]
null
R. J. Mathar, Feb 07 2023
2024-01-21T02:15:42
oeisdata/seq/A360/A360428.seq
1cec9bc98d52fd44fea1b4e73e17b49f
A360429
Inverse Mobius transformation of A034714.
[ "1", "9", "19", "57", "51", "171", "99", "313", "262", "459", "243", "1083", "339", "891", "969", "1593", "579", "2358", "723", "2907", "1881", "2187", "1059", "5947", "1926", "3051", "3178", "5643", "1683", "8721", "1923", "7737", "4617", "5211", "5049", "14934", "2739", "6507", "6441", "15963", "3363", "16929", "3699", "13851", "13362", "9531", "4419", "30267", "7302", "17334" ]
[ "nonn", "mult", "easy" ]
13
0
5
[ "A000005", "A000012", "A001620", "A034714", "A060640", "A360429" ]
null
R. J. Mathar, Feb 07 2023
2024-01-16T09:04:59
oeisdata/seq/A360/A360429.seq
ee677905ba753de2cefa4fbeb38f01e8
A360430
Dirichlet convolution of Dedekind psi by A038040.
[ "1", "7", "10", "30", "16", "70", "22", "104", "63", "112", "34", "300", "40", "154", "160", "320", "52", "441", "58", "480", "220", "238", "70", "1040", "165", "280", "324", "660", "88", "1120", "94", "912", "340", "364", "352", "1890", "112", "406", "400", "1664", "124", "1540", "130", "1020", "1008", "490", "142", "3200", "315", "1155" ]
[ "nonn", "mult", "easy" ]
15
0
5
[ "A000005", "A001615", "A008966", "A034718", "A038040", "A060724", "A360430" ]
null
R. J. Mathar, Feb 07 2023
2025-03-25T02:31:03
oeisdata/seq/A360/A360430.seq
85bb470a1c2c946831a335d5dd8a1f7a
A360431
a(n) is the smallest positive integer which can be represented as the sum of n distinct binomial coefficients binomial(k,n) for some k >= n in exactly n ways, or -1 if no such integer exists.
[ "1", "16", "305", "4396", "43093", "332193", "87172020", "273879343" ]
[ "nonn", "more" ]
10
0
5
[ "A007318", "A350288", "A360217", "A360431" ]
null
Ilya Gutkovskiy, Feb 07 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360431.seq
8b38af6a576027409ab3622ab7e5598d
A360432
E.g.f. satisfies A(x) = x * exp(A(x) + x^2).
[ "0", "1", "2", "15", "112", "1225", "16896", "283759", "5623808", "128431377", "3321026560", "95915951791", "3060250165248", "106896447626137", "4057412577591296", "166284754020913935", "7318183421113532416", "344228133020323687201", "17233838271273426223104", "915000759922243030582735" ]
[ "nonn" ]
15
0
5
[ "A052318", "A216857", "A360432", "A360433" ]
null
Seiichi Manyama, Feb 07 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360432.seq
6f2476d36639638ce4840a5dd24d2bc4
A360433
E.g.f. satisfies A(x) = x * exp(A(x) + x^3).
[ "0", "1", "2", "9", "88", "865", "11016", "173929", "3227792", "69010785", "1670970160", "45198840841", "1350754588008", "44196732194641", "1571453132115608", "60331412278617705", "2487385479819549856", "109608035124514365121", "5140910415583354887648", "255708987797133857518345" ]
[ "nonn" ]
11
0
5
[ "A052322", "A216857", "A360432", "A360433" ]
null
Seiichi Manyama, Feb 07 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360433.seq
c5c2bb686417ba3d353f09ec170b354d
A360434
a(n) is the greatest number k not yet in the sequence such that A022290(n) = A022290(k).
[ "0", "1", "2", "4", "3", "5", "8", "9", "6", "7", "10", "16", "12", "17", "18", "20", "11", "13", "14", "19", "15", "21", "32", "33", "24", "25", "34", "36", "35", "37", "40", "41", "22", "23", "26", "28", "27", "29", "38", "39", "30", "31", "42", "64", "48", "65", "66", "68", "44", "49", "50", "67", "52", "69", "72", "73", "70", "71", "74", "80", "76", "81", "82", "84", "43", "45", "46", "51" ]
[ "nonn", "base" ]
13
0
5
[ "A000119", "A003714", "A003754", "A022290", "A345101", "A360415", "A360434" ]
null
Rémy Sigrist, Feb 07 2023
2023-03-30T16:43:34
oeisdata/seq/A360/A360434.seq
6d253926bbed535c1ff109a7673161f9
A360435
a(n) = A038547(3^n), smallest number with 3^n odd divisors.
[ "9", "225", "11025", "1334025", "225450225", "65155115025", "23520996524025", "12442607161209225", "9070660620521525025", "7628425581858602546025", "7330916984166117046730025", "10036025351323414236973404225", "16870558615574659332352292502225", "31193662880197545105519388836614025", "68906801302356377138092329940080381225" ]
[ "nonn" ]
14
0
5
[ "A001227", "A005179", "A007051", "A038547", "A070826", "A122842", "A360435" ]
null
Hartmut F. W. Hoft, Feb 07 2023
2023-02-19T22:19:29
oeisdata/seq/A360/A360435.seq
47bbce92531e224b72a888943b0242a0
A360436
32-gonal numbers: a(n) = n*(15*n-14).
[ "0", "1", "32", "93", "184", "305", "456", "637", "848", "1089", "1360", "1661", "1992", "2353", "2744", "3165", "3616", "4097", "4608", "5149", "5720", "6321", "6952", "7613", "8304", "9025", "9776", "10557", "11368", "12209", "13080", "13981", "14912", "15873", "16864", "17885", "18936", "20017", "21128", "22269", "23440", "24641", "25872" ]
[ "nonn", "easy" ]
24
0
5
[ "A051868", "A161935", "A254474", "A282853", "A360436" ]
null
Nikolaos Pantelidis, Feb 07 2023
2023-02-09T18:30:34
oeisdata/seq/A360/A360436.seq
b3bf6434c8c40bf23f1518572d6a8551
A360437
The number of labeled graphs on n nodes whose degree sequences realize the first n even terms of A001223 (the prime gap sequence).
[ "0", "0", "0", "0", "1", "13", "126", "288", "8160", "110800", "8552205", "253822863", "21802799690", "1751958608840", "231900341949104", "8821242453833942", "1943505339202134370", "417503287597170065730", "18004075657522393347770", "7276527497090264178405240", "2096206309349359523650043220" ]
[ "nonn" ]
14
0
5
[ "A001223", "A339987", "A360437" ]
null
Atabey Kaygun, Feb 07 2023
2023-02-26T20:44:23
oeisdata/seq/A360/A360437.seq
a48be5efefd14d9dd2084e8518c55b7c
A360438
Smallest number with 2^n odd divisors.
[ "1", "3", "15", "105", "945", "10395", "135135", "2297295", "43648605", "1003917915", "25097947875", "727840488375", "22563055139625", "834833040166125", "34228154646811125", "1471810649812878375", "69175100541205283625", "3389579926519058897625", "179647736105510121574125", "10599216430225097172873375", "646552202243730927545275875" ]
[ "nonn" ]
16
0
5
[ "A005179", "A038547", "A360438" ]
null
Hartmut F. W. Hoft, Feb 07 2023
2023-04-09T02:48:37
oeisdata/seq/A360/A360438.seq
14516292f2df859d4ed9c76d57c08c71
A360439
Square array read by antidiagonals upwards: T(n,k), n>=0, k>=0, is the number of ways of choosing nonnegative numbers for k indistinguishable (p^n*q)-sided dice so that it is possible to roll every number from 0 to (p^n*q)^k-1, where p and q are distinct primes.
[ "1", "1", "1", "1", "1", "1", "1", "1", "7", "1", "1", "1", "42", "71", "1", "1", "1", "230", "3660", "1001", "1", "1", "1", "1190", "160440", "614040", "18089", "1", "1", "1", "5922", "6387150", "299145000", "169200360", "398959", "1", "1", "1", "28644", "238504266", "127534407000", "1175153779800", "69444920160", "10391023", "1" ]
[ "nonn", "tabl" ]
9
0
5
[ "A002119", "A131514", "A273013", "A349427", "A360098", "A360439" ]
null
William P. Orrick, Feb 18 2023
2023-03-24T16:02:26
oeisdata/seq/A360/A360439.seq
c2f69e1617b4fc8cfa4e000b4cef3b5a
A360440
Square array read by antidiagonals upwards: T(n,k), n>=0, k>=0, is the number of ways of choosing nonnegative numbers for k indistinguishable A063008(n)-sided dice so that it is possible to roll every number from 0 to (A063008(n))^k-1.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "3", "1", "1", "1", "1", "7", "15", "1", "1", "1", "1", "10", "71", "105", "1", "1", "1", "1", "42", "280", "1001", "945", "1", "1", "1", "1", "115", "3660", "15400", "18089", "10395", "1", "1", "1", "1", "35", "20365", "614040", "1401400", "398959", "135135", "1", "1" ]
[ "nonn", "tabl" ]
19
0
5
[ "A002119", "A060540", "A063008", "A080577", "A131514", "A273013", "A360098", "A360440" ]
null
William P. Orrick, Feb 19 2023
2025-03-25T08:57:20
oeisdata/seq/A360/A360440.seq
f568ff8b0599a22cf3a1d4be2175773f
A360441
Triangle read by rows: T(n,k) is the number of pairs (c,m), where c is a covering of the 1 X (2n) grid with 1 X 2 rectangles and equal numbers of red and blue 1 X 1 squares and m is a matching between red squares and blue squares, such that exactly k matched pairs are adjacent.
[ "1", "1", "2", "7", "8", "4", "71", "78", "36", "8", "1001", "1072", "504", "128", "16", "18089", "19090", "9080", "2480", "400", "32", "398959", "417048", "199980", "56960", "10320", "1152", "64", "10391023", "10789982", "5204556", "1523480", "295120", "38304", "3136", "128", "312129649", "322520672", "156264304", "46629632", "9436000", "1336832", "130816", "8192", "256" ]
[ "nonn", "tabl" ]
8
0
5
[ "A001517", "A002119", "A168422", "A253667", "A360441" ]
null
William P. Orrick, Mar 08 2023
2023-03-31T14:42:27
oeisdata/seq/A360/A360441.seq
e8836d77df8c7624ea1dc7f679b86225
A360442
E.g.f. satisfies A(x) = x * exp( -A(x) + x * exp(-A(x)) ).
[ "0", "1", "0", "-6", "36", "-20", "-2730", "38178", "-93688", "-7711272", "184968810", "-1036880570", "-66424040628", "2427958996164", "-24081426198466", "-1271591203182510", "66942964987695120", "-1027559316530335952", "-45046737788036457006", "3332345692967904801438" ]
[ "sign" ]
25
0
5
[ "A055779", "A360442", "A360471" ]
null
Seiichi Manyama, Feb 09 2023
2023-02-11T01:50:52
oeisdata/seq/A360/A360442.seq
0f2ecbfc572c1ee88e3327db33f08985
A360443
Smallest integer m > n such that the multiset of nonzero decimal digits of m is exactly the same as the multiset of nonzero decimal digits of n.
[ "10", "20", "30", "40", "50", "60", "70", "80", "90", "100", "101", "21", "31", "41", "51", "61", "71", "81", "91", "200", "102", "202", "32", "42", "52", "62", "72", "82", "92", "300", "103", "203", "303", "43", "53", "63", "73", "83", "93", "400", "104", "204", "304", "404", "54", "64", "74", "84", "94", "500", "105", "205", "305", "405", "505", "65", "75", "85", "95", "600" ]
[ "nonn", "easy", "base" ]
33
0
5
[ "A009994", "A057168", "A354049", "A360443" ]
null
Marc LeBrun and M. F. Hasler, Feb 22 2023
2023-02-24T18:46:40
oeisdata/seq/A360/A360443.seq
fb0064f18b441ffedfff9c4f9307d661
A360444
a(n) is the number of ways for two nonintersecting, unordered pairs of shortest grid paths to cross over between two opposite corners in an n X n grid without intersecting opposite paths at their middle points.
[ "0", "0", "52", "4540", "742404", "103625004", "16451015760", "2693403573732", "463439672732740", "82516389937797244", "15153421065014201424", "2855078861978328905660", "550005952989718178915472", "108007620360200608500699120", "21569526154939330279935568704" ]
[ "nonn" ]
61
0
5
[ "A000891", "A357603", "A357760", "A358481", "A360444", "A362207" ]
null
Janaka Rodrigo, Jul 15 2023
2023-07-27T12:26:20
oeisdata/seq/A360/A360444.seq
05adf53f1bba54a7dc3c55a1bbf20c0b
A360445
a(n) = Sum_{k=1..n} A178244(k-1).
[ "0", "1", "2", "4", "5", "8", "11", "14", "15", "19", "25", "31", "35", "41", "45", "49", "50", "55", "65", "75", "85", "95", "105", "115", "120", "130", "140", "150", "155", "165", "170", "175", "176", "182", "197", "212", "232", "247", "267", "287", "302", "317", "337", "357", "372", "392", "407", "422", "428", "443", "463", "483", "498", "518", "533", "548", "554", "574", "589" ]
[ "nonn" ]
10
0
5
[ "A178244", "A272653", "A360445" ]
null
M. F. Hasler, Feb 23 2023
2023-03-13T16:06:58
oeisdata/seq/A360/A360445.seq
c6ceaacc8ef4c8ea95cb37efbd745472
A360446
Expansion of e.g.f. 1/(1 - log(1 + log(1+x))).
[ "1", "1", "0", "1", "-3", "18", "-128", "1132", "-11812", "142342", "-1943608", "29647946", "-499539274", "9211833980", "-184511226396", "3988612069192", "-92549005782872", "2294158840990112", "-60504468236412688", "1691556804706653840", "-49971227404392210528", "1555373458584517657488" ]
[ "sign" ]
14
0
5
[ "A006252", "A217033", "A306037", "A360446", "A361494" ]
null
Seiichi Manyama, May 11 2023
2023-05-11T10:26:30
oeisdata/seq/A360/A360446.seq
5fd157b42e2e2ab8a9484a4d16b931ef
A360447
Result of inserting the integers n = 0, 1, 2, ... in this order into an initially empty list, where n is inserted between the pair of consecutive elements with sum equal to n and minimal absolute difference, or at the end of the list if no such pair exists.
[ "0", "1", "4", "11", "29", "47", "18", "61", "165", "434", "703", "1675", "972", "2213", "10093", "17973", "25853", "59586", "33733", "7880", "21427", "56401", "204177", "147776", "91375", "217724", "126349", "414021", "287672", "161323", "34974", "48521", "13547", "5667", "9121", "12575", "28604", "16029", "3454", "1241", "269", "1180", "3271", "2091", "911", "2464", "11409", "20354" ]
[ "nonn", "hard", "nice" ]
92
0
5
[ "A306835", "A360447" ]
null
M. F. Hasler, Mar 01 2023
2023-04-12T09:23:18
oeisdata/seq/A360/A360447.seq
81a4ad652b56f2ebf03107d3b0066a9a
A360448
Indices of primes of the form p = 2^i + 2^j + 1, i > j > 0 (A081091).
[ "4", "5", "6", "8", "12", "13", "19", "21", "25", "32", "33", "44", "98", "106", "116", "136", "174", "191", "310", "313", "319", "565", "568", "1029", "1470", "1902", "2111", "3513", "3518", "3521", "4289", "6544", "12426", "13632", "15000", "23001", "23003", "23043", "23673", "43395", "43420", "43465", "45859", "62947", "82029", "82063", "91466", "155612", "155900", "295957", "564164" ]
[ "nonn" ]
21
0
5
[ "A000040", "A000120", "A000720", "A014499", "A081091", "A360448" ]
null
M. F. Hasler, Mar 03 2023
2023-03-22T08:15:10
oeisdata/seq/A360/A360448.seq
594d218182ce3352be342ba63555ca23
A360449
The lexicographically earliest sequence a(n) = v(x[n]) where x[k], k >= 0, are distinct finite nonnegative integer sequences with |x[k] - x[k+1]| = 1, and v(x) = Sum_{k >= 0} x(k)*b^k + b^(b-1), b = max(deg(x), sup(x)) + 1.
[ "1", "3", "5", "4", "15", "16", "17", "14", "11", "20", "19", "18", "21", "22", "23", "26", "25", "24", "33", "30", "27", "28", "29", "32", "31", "34", "35", "107", "91", "75", "71", "67", "83", "87", "103", "99", "115", "114", "113", "112", "116", "117", "118", "119", "123", "122", "121", "120", "124", "108", "92", "76", "77", "78", "79", "95", "94", "93", "109", "110", "111" ]
[ "nonn" ]
13
0
5
[ "A360449", "A360450" ]
null
M. F. Hasler, Feb 21 2023
2023-03-28T08:18:24
oeisdata/seq/A360/A360449.seq
a5b50eedb525b252e5758a471dc5314b
A360450
a(n) = v(x[n]) where (x[k], k >= 0) is the earliest possible sequence of distinct nonnegative integer sequences such that |x[k+1] - x[k]| = 1 for all k, sequences being ordered by increasing m(x) := max(deg(x), sup(x)), then v(x) := Sum_{k >= 0} x(k)*b^k + [b > 10]*b^(b-1) with b = max(m(x)+1, 10).
[ "0", "1", "11", "10", "20", "21", "22", "12", "2", "102", "101", "100", "110", "111", "112", "122", "121", "120", "220", "210", "200", "201", "202", "212", "211", "221", "222", "223", "123", "23", "13", "3", "103", "113", "213", "203", "303", "302", "301", "300", "310", "311", "312", "322", "321", "320", "330", "230", "130", "30", "31", "32", "132", "131", "231", "232", "233", "133" ]
[ "nonn" ]
43
0
5
[ "A360449", "A360450" ]
null
M. F. Hasler, Feb 21 2023
2023-03-28T08:19:56
oeisdata/seq/A360/A360450.seq
08c58bd08b69c3168be459b2b530e4f1
A360451
Triangle read by rows: T(n,k) = number of partitions of an n X k rectangle into one or more integer-sided rectangles, 1 <= k <= n = 1, 2, 3, ...
[ "1", "2", "6", "3", "14", "50", "5", "34", "179", "892", "7", "72", "548", "3765", "21225", "11", "157", "1651", "14961", "108798", "700212", "15", "311", "4485", "53196", "491235" ]
[ "nonn", "tabl", "more" ]
45
0
5
[ "A000041", "A116694", "A224697", "A360451", "A360629" ]
null
M. F. Hasler, Feb 09 2023
2023-04-17T06:18:09
oeisdata/seq/A360/A360451.seq
d9d5b58fe187f0c10a59784fbc2bc506
A360452
Number of fractions c/d with |c| <= d <= 2n and odd denominator when factors of 2 are canceled.
[ "0", "3", "7", "15", "27", "39", "59", "83", "99", "131", "167", "191", "235", "275", "311", "367", "427", "467", "515", "587", "635", "715", "799", "847", "939", "1023", "1087", "1191", "1271", "1343", "1459", "1579", "1651", "1747", "1879", "1967", "2107", "2251", "2331", "2451", "2607", "2715", "2879", "3007", "3119", "3295", "3439", "3559", "3703", "3895", "4015" ]
[ "nonn", "easy" ]
9
0
5
[ "A049691", "A099957", "A360452" ]
null
M. F. Hasler, Mar 26 2023
2024-08-04T20:07:29
oeisdata/seq/A360/A360452.seq
a125ce312c6706dec0d074354e007788
A360453
Numbers for which the prime multiplicities (or sorted signature) have the same median as the distinct prime indices.
[ "1", "2", "9", "12", "18", "40", "100", "112", "125", "180", "250", "252", "300", "352", "360", "392", "396", "405", "450", "468", "504", "540", "588", "600", "612", "675", "684", "720", "756", "792", "828", "832", "882", "900", "936", "1008", "1044", "1116", "1125", "1176", "1188", "1200", "1224", "1332", "1350", "1368", "1372", "1404", "1440", "1452", "1476" ]
[ "nonn" ]
9
0
5
[ "A000975", "A001222", "A056239", "A088529", "A088530", "A109297", "A109298", "A112798", "A114638", "A124010", "A240219", "A316413", "A324570", "A325347", "A326567", "A326568", "A326619", "A326620", "A326621", "A359889", "A359890", "A359893", "A359901", "A359903", "A359907", "A359908", "A360005", "A360068", "A360244", "A360245", "A360247", "A360248", "A360249", "A360453", "A360454", "A360455", "A360456" ]
null
Gus Wiseman, Feb 10 2023
2023-02-10T17:11:44
oeisdata/seq/A360/A360453.seq
fe8cdc9ddfd31166533c9e73ebf03f48
A360454
Numbers for which the prime multiplicities (or sorted signature) have the same median as the prime indices.
[ "1", "2", "9", "54", "100", "120", "125", "135", "168", "180", "189", "240", "252", "264", "280", "297", "300", "312", "336", "351", "396", "408", "440", "450", "456", "459", "468", "480", "513", "520", "528", "540", "552", "560", "588", "612", "616", "621", "624", "672", "680", "684", "696", "728", "744", "756", "760", "783", "816", "828", "837", "880", "882" ]
[ "nonn" ]
6
0
5
[ "A000975", "A001222", "A056239", "A088529", "A088530", "A109297", "A109298", "A112798", "A114638", "A124010", "A240219", "A316413", "A324570", "A325347", "A326567", "A326568", "A326619", "A326620", "A359889", "A359890", "A359893", "A359894", "A359901", "A359903", "A359907", "A359908", "A360005", "A360068", "A360244", "A360245", "A360248", "A360249", "A360453", "A360454", "A360455", "A360456" ]
null
Gus Wiseman, Feb 10 2023
2023-02-10T17:11:39
oeisdata/seq/A360/A360454.seq
2a1b7e62d5311255a4d7688c0585cd92
A360455
Number of integer partitions of n for which the distinct parts have the same median as the multiplicities.
[ "1", "1", "0", "0", "2", "1", "1", "0", "2", "2", "5", "8", "10", "14", "20", "19", "26", "31", "35", "41", "55", "65", "85", "102", "118", "151", "181", "201", "236", "281", "313", "365", "424", "495", "593", "688", "825", "978", "1181", "1374", "1650", "1948", "2323", "2682", "3175", "3680", "4314", "4930", "5718", "6546", "7532", "8557", "9777", "11067", "12622" ]
[ "nonn" ]
8
0
5
[ "A000009", "A000041", "A000975", "A027193", "A114638", "A116608", "A240219", "A324570", "A325347", "A326619", "A326620", "A359893", "A359894", "A359895", "A359901", "A359902", "A359907", "A359908", "A360068", "A360243", "A360244", "A360245", "A360248", "A360249", "A360453", "A360454", "A360455", "A360456" ]
null
Gus Wiseman, Feb 10 2023
2023-02-11T08:12:56
oeisdata/seq/A360/A360455.seq
be76da78d07e1c2ecd9af2b6682f5e7d
A360456
Number of integer partitions of n for which the parts have the same median as the multiplicities.
[ "1", "1", "0", "0", "1", "0", "0", "1", "2", "5", "7", "10", "14", "21", "28", "36", "51", "64", "84", "106", "132", "165", "202", "252", "311", "391", "473", "579", "713", "868", "1069", "1303", "1617", "1954", "2404", "2908", "3556", "4282", "5200", "6207", "7505", "8934", "10700", "12717", "15165", "17863", "21222", "24976", "29443", "34523", "40582", "47415" ]
[ "nonn" ]
6
0
5
[ "A000009", "A000041", "A000975", "A008284", "A027193", "A114638", "A240219", "A325347", "A359893", "A359894", "A359895", "A359901", "A359902", "A359903", "A359907", "A359908", "A360068", "A360244", "A360245", "A360248", "A360249", "A360453", "A360454", "A360455", "A360456" ]
null
Gus Wiseman, Feb 10 2023
2023-02-11T08:13:06
oeisdata/seq/A360/A360456.seq
ee50ff2460120037932b0c7056a9749e
A360457
Two times the median of the set of distinct prime indices of n; a(1) = 1.
[ "1", "2", "4", "2", "6", "3", "8", "2", "4", "4", "10", "3", "12", "5", "5", "2", "14", "3", "16", "4", "6", "6", "18", "3", "6", "7", "4", "5", "20", "4", "22", "2", "7", "8", "7", "3", "24", "9", "8", "4", "26", "4", "28", "6", "5", "10", "30", "3", "8", "4", "9", "7", "32", "3", "8", "5", "10", "11", "34", "4", "36", "12", "6", "2", "9", "4", "38", "8", "11", "6", "40", "3", "42", "13", "5", "9", "9", "4", "44", "4" ]
[ "nonn" ]
6
0
5
[ "A000975", "A001222", "A026424", "A056239", "A063655", "A112798", "A304038", "A307683", "A316413", "A325347", "A326567", "A326568", "A326619", "A326620", "A359893", "A359901", "A359902", "A359907", "A359908", "A359912", "A360005", "A360006", "A360007", "A360248", "A360453", "A360457", "A360458", "A360459", "A360460", "A360550", "A360551", "A360555" ]
null
Gus Wiseman, Feb 14 2023
2023-02-15T21:48:23
oeisdata/seq/A360/A360457.seq
42035e40f818c07298abf18c8ea135f6
A360458
Two times the median of the set of distinct prime factors of n; a(1) = 2.
[ "2", "4", "6", "4", "10", "5", "14", "4", "6", "7", "22", "5", "26", "9", "8", "4", "34", "5", "38", "7", "10", "13", "46", "5", "10", "15", "6", "9", "58", "6", "62", "4", "14", "19", "12", "5", "74", "21", "16", "7", "82", "6", "86", "13", "8", "25", "94", "5", "14", "7", "20", "15", "106", "5", "16", "9", "22", "31", "118", "6", "122", "33", "10", "4", "18", "6", "134", "19", "26", "10", "142", "5" ]
[ "nonn" ]
6
0
5
[ "A000975", "A001222", "A014091", "A014092", "A026424", "A027748", "A056239", "A063655", "A078174", "A100367", "A112798", "A304038", "A316413", "A323171", "A323172", "A325347", "A359893", "A359901", "A359902", "A359907", "A360005", "A360006", "A360248", "A360453", "A360457", "A360458", "A360459", "A360460", "A360550", "A360551", "A360552", "A360555" ]
null
Gus Wiseman, Feb 14 2023
2023-02-15T21:48:18
oeisdata/seq/A360/A360458.seq
0b5d28c4aa351c938ff11c47a2896f96
A360459
Two times the median of the multiset of prime factors of n; a(1) = 2.
[ "2", "4", "6", "4", "10", "5", "14", "4", "6", "7", "22", "4", "26", "9", "8", "4", "34", "6", "38", "4", "10", "13", "46", "4", "10", "15", "6", "4", "58", "6", "62", "4", "14", "19", "12", "5", "74", "21", "16", "4", "82", "6", "86", "4", "6", "25", "94", "4", "14", "10", "20", "4", "106", "6", "16", "4", "22", "31", "118", "5", "122", "33", "6", "4", "18", "6", "134", "4", "26", "10", "142", "4", "146" ]
[ "nonn" ]
7
0
5
[ "A000975", "A001222", "A014091", "A014092", "A026424", "A027336", "A027746", "A027748", "A056239", "A063655", "A072978", "A078174", "A112798", "A123528", "A123529", "A307683", "A316413", "A323171", "A323172", "A325347", "A326567", "A326568", "A359893", "A359901", "A359902", "A359907", "A359908", "A359913", "A360005", "A360006", "A360007", "A360248", "A360457", "A360458", "A360459", "A360460", "A360552", "A360555" ]
null
Gus Wiseman, Feb 14 2023
2023-02-15T21:48:14
oeisdata/seq/A360/A360459.seq
754ee0d86a6a19cfe8b8565558c92fa5
A360460
Two times the median of the unordered prime signature of n; a(1) = 1.
[ "1", "2", "2", "4", "2", "2", "2", "6", "4", "2", "2", "3", "2", "2", "2", "8", "2", "3", "2", "3", "2", "2", "2", "4", "4", "2", "6", "3", "2", "2", "2", "10", "2", "2", "2", "4", "2", "2", "2", "4", "2", "2", "2", "3", "3", "2", "2", "5", "4", "3", "2", "3", "2", "4", "2", "4", "2", "2", "2", "2", "2", "2", "3", "12", "2", "2", "2", "3", "2", "2", "2", "5", "2", "2", "3", "3", "2", "2", "2", "5", "8", "2", "2", "2", "2", "2", "2" ]
[ "nonn" ]
5
0
5
[ "A000975", "A001222", "A026424", "A056239", "A063655", "A088529", "A088530", "A112798", "A118914", "A124010", "A133464", "A304038", "A307683", "A325347", "A329976", "A359893", "A359901", "A359902", "A359907", "A359908", "A360005", "A360454", "A360457", "A360458", "A360459", "A360460", "A360553", "A360554", "A360555" ]
null
Gus Wiseman, Feb 14 2023
2023-02-16T09:04:19
oeisdata/seq/A360/A360460.seq
0136ad7c9b0a814009c7129dd0120b02
A360461
T(n,k) is the sum of all the k-th smallest divisors of all positive integers <= n. Irregular triangle read by rows (n>=1, k>=1).
[ "1", "2", "2", "3", "5", "4", "7", "4", "5", "12", "4", "6", "14", "7", "6", "7", "21", "7", "6", "8", "23", "11", "14", "9", "26", "20", "14", "10", "28", "25", "24", "11", "39", "25", "24", "12", "41", "28", "28", "6", "12", "13", "54", "28", "28", "6", "12", "14", "56", "35", "42", "6", "12", "15", "59", "40", "57", "6", "12", "16", "61", "44", "65", "22", "12", "17", "78", "44", "65", "22", "12", "18", "80", "47", "71", "31", "30", "19", "99", "47", "71", "31", "30" ]
[ "nonn", "tabf", "look" ]
59
0
5
[ "A000005", "A000027", "A002182", "A024916", "A027750", "A070319", "A088821", "A175254", "A244051", "A360461" ]
null
Omar E. Pol, Feb 07 2023
2023-03-06T07:51:03
oeisdata/seq/A360/A360461.seq
61e4db993731cb7cc31759393e602679
A360462
Number of permutations p of [n] such that |p(i+9) - p(i)| <> 9 for i in [n-9].
[ "1", "1", "2", "6", "24", "120", "720", "5040", "40320", "362880", "3548160", "37054080", "416551680", "5050368000", "65944535040", "924630958080", "13873661706240", "221978587299840", "3774394191052800", "67494538767237120", "1276009602375352320", "25429720417085030400" ]
[ "nonn" ]
8
0
5
[ "A000142", "A333706", "A360462" ]
null
Alois P. Heinz, Feb 07 2023
2023-02-08T09:36:47
oeisdata/seq/A360/A360462.seq
128cf266b3fcdcc732db30594e20e334
A360463
Number of permutations p of [n] such that |p(i+10) - p(i)| <> 10 for i in [n-10].
[ "1", "1", "2", "6", "24", "120", "720", "5040", "40320", "362880", "3628800", "39191040", "450293760", "5534403840", "72864645120", "1026562867200", "15441868062720", "247319592468480", "4205303137566720", "75695456476200960", "1438421245702963200", "28616864514850160640" ]
[ "nonn" ]
7
0
5
[ "A000142", "A333706", "A360463" ]
null
Alois P. Heinz, Feb 07 2023
2023-02-08T09:51:13
oeisdata/seq/A360/A360463.seq
cd366ef347c1545d02619cfa4a4b8ac9
A360464
a(n) = a(n-1) + a(n-2) - a(n-3) + gcd(a(n-1), a(n-3)), with a(1) = a(2) = a(3) = 1.
[ "1", "1", "1", "2", "3", "5", "7", "10", "17", "21", "29", "34", "43", "49", "59", "66", "77", "85", "97", "106", "119", "129", "143", "154", "169", "193", "209", "234", "251", "277", "295", "322", "341", "369", "389", "418", "439", "469", "491", "522", "545", "577", "601", "634", "659", "693", "719", "754", "781", "817", "845", "882", "911", "949", "979", "1018", "1049" ]
[ "nonn", "easy" ]
58
0
5
[ "A083658", "A248098", "A360464" ]
null
Jack Braxton, Feb 08 2023
2023-02-26T20:09:54
oeisdata/seq/A360/A360464.seq
6fb5ef5afd17e833e58cd30c0076a5e2
A360465
E.g.f. satisfies A(x) = exp(x * exp(2*x) * A(x)).
[ "1", "1", "7", "64", "829", "14056", "295399", "7426252", "217637305", "7291538704", "275050426411", "11540336658676", "533224609095061", "26908386824872216", "1472691380336896399", "86892807951798473116", "5498668489586321670769", "371511527654280649783840" ]
[ "nonn" ]
17
0
5
[ "A038050", "A273954", "A357247", "A360465", "A360466" ]
null
Seiichi Manyama, Feb 08 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360465.seq
b354eaf1643d0c0b1fef7351b296d4de
A360466
E.g.f. satisfies A(x) = exp(2 * x * exp(x) * A(x)).
[ "1", "2", "16", "206", "3832", "93962", "2871820", "105355406", "4515648784", "221598121490", "12257187851284", "754703476252310", "51204818674338328", "3796079000648275226", "305328667748448560668", "26483633169003911205278", "2464307301750079915255840", "244872778601760932275686434" ]
[ "nonn" ]
16
0
5
[ "A273954", "A357247", "A360465", "A360466" ]
null
Seiichi Manyama, Feb 08 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360466.seq
02495b596471029a0c66be5607415816
A360467
a(n) = Fibonacci(4*n+2) + 3*Fibonacci(2*n+1)^2.
[ "4", "20", "130", "884", "6052", "41474", "284260", "1948340", "13354114", "91530452", "627359044", "4299982850", "29472520900", "202007663444", "1384581123202", "9490060198964", "65045840269540", "445830821687810", "3055769911545124", "20944558559128052", "143556140002351234", "983948421457330580" ]
[ "nonn" ]
69
0
5
[ "A000045", "A033890", "A064170", "A081068", "A295683", "A360467" ]
null
Alexander M. Domashenko, Feb 08 2023
2025-03-25T02:27:07
oeisdata/seq/A360/A360467.seq
2c85fe544d40d95c05932ddf8bdf56f4
A360468
Number of multisets of nonempty integer partitions with a total of n parts and total sum of 2n.
[ "1", "1", "4", "12", "43", "134", "448", "1387", "4347", "13128", "39350", "115285", "334179", "952512", "2684714", "7468402", "20556838", "55963935", "150896053", "402999801", "1066962557", "2801089402", "7295920768", "18859954024", "48404773852", "123381167011", "312438704848", "786231143489", "1966628476977" ]
[ "nonn" ]
60
0
5
[ "A000041", "A008284", "A055884", "A072233", "A360468", "A360714" ]
null
Alois P. Heinz, Feb 17 2023
2023-02-18T15:06:12
oeisdata/seq/A360/A360468.seq
6b7c370538672b57f47a9158be627d19
A360469
Only k >= 0 such that, for every odd r > 0, A093179(n) divides the generalized Fermat number (A007117(n)^r)^(2^k) + 1.
[ "3", "3", "5", "3", "7", "7", "9", "8", "11", "11", "13", "10", "15", "15", "17", "16", "19", "19", "21", "19", "23", "23", "25", "24", "27", "27", "29", "25", "31", "31", "33", "32", "35", "35", "37", "35", "39", "39", "41", "40", "43", "43", "45", "42", "47", "47", "49", "48", "51", "51", "53", "51", "55", "55", "57", "56", "59", "59", "61", "56", "63", "63", "65", "64", "67", "67", "69", "67", "71", "71", "73", "72", "75", "75", "77", "74", "79" ]
[ "nonn", "easy" ]
38
0
5
[ "A000215", "A007117", "A007814", "A093179", "A307843", "A360469" ]
null
Lorenzo Sauras Altuzarra, Feb 27 2023
2023-07-15T06:01:39
oeisdata/seq/A360/A360469.seq
20d0da8fb3e20cdb1e7ed4527abd44a3
A360470
Lexicographically earliest sequence of distinct positive integers such that for any n > 0, the k rightmost digits of a(n+1) equal the k leftmost digits of a(n) for some k > 0.
[ "1", "11", "21", "2", "12", "31", "3", "13", "41", "4", "14", "51", "5", "15", "61", "6", "16", "71", "7", "17", "81", "8", "18", "91", "9", "19", "101", "10", "110", "111", "121", "112", "131", "113", "141", "114", "151", "115", "161", "116", "171", "117", "181", "118", "191", "119", "201", "20", "22", "32", "23", "42", "24", "52", "25", "62", "26", "72", "27", "82", "28", "92" ]
[ "nonn", "base" ]
11
0
5
[ "A262323", "A360470", "A360472" ]
null
Rémy Sigrist, Feb 08 2023
2023-02-12T10:05:34
oeisdata/seq/A360/A360470.seq
6e58658711463a2a6c9d9b27cbca0924
A360471
E.g.f. satisfies A(x) = x * exp( 2*A(x) + x * exp(2*A(x)) ).
[ "0", "1", "6", "75", "1476", "39805", "1366278", "56998179", "2800588808", "158420939193", "10140538486410", "724652822705119", "57187947315670284", "4939834587311520117", "463572330418586227790", "46965096302630022564315", "5108915146530700018466832", "593925863391217441843199089" ]
[ "nonn" ]
23
0
5
[ "A055779", "A360442", "A360471", "A360474", "A360481" ]
null
Seiichi Manyama, Feb 09 2023
2023-02-17T15:48:14
oeisdata/seq/A360/A360471.seq
0539c5a835250ea250e6f844973fd651
A360472
Inverse permutation to A360470.
[ "1", "4", "7", "10", "13", "16", "19", "22", "25", "28", "2", "5", "8", "11", "14", "17", "20", "23", "26", "48", "3", "49", "51", "53", "55", "57", "59", "61", "63", "116", "6", "50", "117", "119", "121", "123", "125", "127", "129", "201", "9", "52", "118", "202", "204", "206", "208", "210", "212", "312", "12", "54", "120", "203", "313", "315", "317", "319", "321", "421", "15" ]
[ "nonn", "base", "look" ]
11
0
5
[ "A360470", "A360472" ]
null
Rémy Sigrist, Feb 08 2023
2023-02-12T10:05:42
oeisdata/seq/A360/A360472.seq
634ea7f786040b6a2b734a6661a83588
A360473
E.g.f. satisfies A(x) = exp( x * exp(x) * A(x)^2 ).
[ "1", "1", "7", "82", "1441", "34036", "1013149", "36446698", "1538703457", "74607811048", "4086635087701", "249593193648646", "16819085803158577", "1239637405609740268", "99206330021667838285", "8567230421555333516746", "794104205843228382969409" ]
[ "nonn" ]
27
0
5
[ "A273954", "A360465", "A360473", "A360474" ]
null
Seiichi Manyama, Feb 08 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360473.seq
55297d8637193e522477f09e64ad9ac5
A360474
E.g.f. satisfies A(x) = exp( x * A(x)^2 * exp(x * A(x)^2) ).
[ "1", "1", "7", "94", "1921", "53036", "1849789", "78070462", "3869909537", "220427550712", "14188370562901", "1018570771664546", "80692202644742737", "6992855583524143204", "658076908751441373965", "66833181471569822199886", "7285736943975575120653249", "848589321771735983890457072" ]
[ "nonn" ]
12
0
5
[ "A162695", "A360473", "A360474" ]
null
Seiichi Manyama, Feb 08 2023
2023-02-17T16:02:50
oeisdata/seq/A360/A360474.seq
1c4a71e5eaef89edd99f165ddf29dcf8
A360475
Smallest prime factor of (2^prime(n) + 1) / 3.
[ "3", "11", "43", "683", "2731", "43691", "174763", "2796203", "59", "715827883", "1777", "83", "2932031007403", "283", "107", "2833", "768614336404564651", "7327657", "56409643", "1753", "201487636602438195784363", "499", "179", "971", "845100400152152934331135470251", "415141630193", "643", "104124649", "227" ]
[ "nonn" ]
24
0
5
[ "A020639", "A126614", "A360475" ]
null
Alain Rocchelli, Feb 08 2023
2025-01-27T09:27:35
oeisdata/seq/A360/A360475.seq
e3add1b2089257c5b5ea400f11a7ff80
A360476
The integers of the sequence appear exactly twice. Between the two copies of k there are k odd integers. The sequence is always extended with the smallest integer not leading to a contradiction.
[ "1", "2", "3", "1", "2", "4", "5", "6", "7", "3", "8", "9", "4", "10", "11", "12", "13", "5", "6", "14", "15", "16", "17", "7", "18", "19", "8", "20", "21", "22", "23", "9", "10", "24", "25", "26", "27", "11", "12", "28", "29", "30", "31", "13", "32", "33", "14", "34", "35", "36", "37", "15", "16", "38", "39", "40", "41", "17", "42", "43", "18", "44", "45", "46", "47", "19", "20", "48", "49", "50" ]
[ "nonn" ]
27
0
5
[ "A132291", "A360476" ]
null
Eric Angelini, Feb 12 2023
2023-03-01T14:42:52
oeisdata/seq/A360/A360476.seq
1d3fbd8d93f4e6c85532ed86deb18bb4
A360477
Numbers whose product of distinct prime factors is greater than or equal to the sum of its prime factors (with repetition).
[ "1", "2", "3", "5", "6", "7", "10", "11", "13", "14", "15", "17", "19", "20", "21", "22", "23", "26", "28", "29", "30", "31", "33", "34", "35", "37", "38", "39", "41", "42", "43", "44", "45", "46", "47", "51", "52", "53", "55", "56", "57", "58", "59", "60", "61", "62", "63", "65", "66", "67", "68", "69", "70", "71", "73", "74", "75", "76", "77", "78", "79", "82", "83", "84", "85", "86", "87", "88", "89", "90", "91", "92", "93", "94", "95" ]
[ "nonn" ]
14
0
5
[ "A000040", "A001414", "A007947", "A359869", "A359870", "A360477" ]
null
Johan Lindgren, Feb 08 2023
2023-02-20T07:52:11
oeisdata/seq/A360/A360477.seq
6da44b5e939839042a3617f5aa3ec0e7
A360478
Least k such that the first n primes divide k and the next n primes divide k+1.
[ "2", "174", "11010", "877590", "3576536040", "7300395162060", "8122095802580760", "15497422946114018910", "6949903578918639188850", "482875127106370562524140180", "2448313281623289989477792853630", "20024982066721727911275778517919720", "29200503600421680216708710172770859570" ]
[ "nonn" ]
19
0
5
[ "A069561", "A360478" ]
null
Samuel Harkness, Feb 08 2023
2023-03-11T00:13:22
oeisdata/seq/A360/A360478.seq
25e0de3449fce488ed951e4d79572112
A360479
Expansion of Sum_{k>=0} (x * (1 + (k * x)^2))^k.
[ "1", "1", "1", "2", "9", "28", "81", "369", "1753", "7323", "36337", "207401", "1114345", "6308368", "40326033", "256982157", "1658573497", "11650405774", "83966740913", "608348063576", "4659734909385", "36973835868521", "295709600709585", "2454457098977559", "21106884235025305" ]
[ "nonn" ]
40
0
5
[ "A360479", "A360592", "A360699", "A360747" ]
null
Seiichi Manyama, Feb 19 2023
2023-02-19T10:55:25
oeisdata/seq/A360/A360479.seq
e1d2993d98388f68c9bc26da9d6a7e3b
A360480
a(n) = number of numbers k < n, with gcd(k, n) > 1, such that there is at least one prime divisor p | k that does not divide n, and at least one prime divisor q | n that does not divide k.
[ "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "1", "0", "3", "3", "0", "0", "3", "0", "5", "5", "6", "0", "6", "0", "8", "0", "9", "0", "5", "0", "0", "8", "11", "7", "10", "0", "13", "10", "13", "0", "12", "0", "16", "13", "17", "0", "16", "0", "18", "14", "20", "0", "19", "11", "21", "16", "23", "0", "19", "0", "25", "19", "0", "13", "25", "0", "27", "20", "27", "0", "27", "0", "30", "25", "31", "13", "32", "0", "32", "0", "34", "0", "33", "17", "36", "25", "37" ]
[ "nonn" ]
16
0
5
[ "A007947", "A010846", "A024619", "A051953", "A243823", "A272619", "A360480" ]
null
Michael De Vlieger, Feb 28 2023
2023-03-06T13:22:44
oeisdata/seq/A360/A360480.seq
acb641bf61c7bcbd581cb5c00507f71c
A360481
E.g.f. satisfies A(x) = x * exp(x + 2 * A(x)).
[ "0", "1", "6", "63", "1044", "23805", "692118", "24482115", "1020584232", "49000005945", "2662853279850", "161586078510879", "10830019921469532", "794577001293803637", "63339899145968483262", "5451312770064188283195", "503784284643602483767632", "49757423537114340032969073" ]
[ "nonn" ]
15
0
5
[ "A216857", "A360473", "A360481", "A360482", "A360483", "A360484" ]
null
Seiichi Manyama, Feb 09 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360481.seq
b016df388ae148fc993e69af1d6236fb
A360482
E.g.f. satisfies A(x) = x * exp(x + 3 * A(x)).
[ "0", "1", "8", "120", "2848", "92960", "3868224", "195810496", "11680512512", "802445898240", "62396469222400", "5417515922441216", "519519435065020416", "54535504354085687296", "6219954774471102242816", "765903524713482618101760", "101269330068289021683564544", "14310318526812295078276628480" ]
[ "nonn" ]
12
0
5
[ "A216857", "A360481", "A360482", "A360483", "A360484" ]
null
Seiichi Manyama, Feb 09 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360482.seq
04b4163b921ed0c3f31ef8dc12539c08
A360483
E.g.f. satisfies A(x) = x * exp(x - 2 * A(x)).
[ "0", "1", "-2", "15", "-172", "2685", "-53226", "1281091", "-36296408", "1183527225", "-43660076950", "1797823266591", "-81746462498724", "4068086310006901", "-219929012455113794", "12835335232410655035", "-804287930238495495856", "53858337558670992931185" ]
[ "sign" ]
10
0
5
[ "A216857", "A360481", "A360482", "A360483", "A360484" ]
null
Seiichi Manyama, Feb 09 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360483.seq
a4787330857ff9a948a22f06839364bf
A360484
E.g.f. satisfies A(x) = x * exp(x - 3 * A(x)).
[ "0", "1", "-4", "48", "-896", "22880", "-743232", "29337280", "-1363752448", "72979407360", "-4419108684800", "298730433250304", "-22300928914403328", "1822195561572585472", "-161756111552270491648", "15501595224386724126720", "-1595092357302221461127168", "175405731698165304882495488" ]
[ "sign" ]
10
0
5
[ "A216857", "A360481", "A360482", "A360483", "A360484" ]
null
Seiichi Manyama, Feb 09 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360484.seq
7f8260a54b663883f4a179d944b34586
A360485
a(n) = index of the antidiagonal of the Wythoff array (A035513) that includes n.
[ "1", "2", "3", "2", "4", "3", "3", "5", "4", "4", "4", "5", "6", "6", "5", "5", "7", "5", "8", "6", "7", "9", "7", "6", "10", "6", "11", "8", "6", "12", "9", "7", "13", "8", "14", "10", "8", "15", "7", "16", "11", "7", "17", "12", "9", "18", "7", "19", "13", "10", "20", "8", "21", "14", "9", "22", "15", "11", "23", "9", "24", "16", "8", "25", "17", "12", "26", "8", "27", "18", "13", "28", "10", "29", "19" ]
[ "nonn", "easy" ]
6
0
5
[ "A035513", "A191360", "A360379", "A360485" ]
null
Clark Kimberling, Feb 09 2023
2023-02-09T22:28:10
oeisdata/seq/A360/A360485.seq
498402abb5562883f3f1e1348ce79c93
A360486
Convolution of A000041 and A000290.
[ "0", "1", "5", "15", "36", "76", "147", "267", "462", "769", "1240", "1947", "2988", "4496", "6649", "9683", "13909", "19734", "27686", "38447", "52892", "72138", "97604", "131084", "174835", "231687", "305173", "399687", "520675", "674865", "870540", "1117869", "1429298", "1820018", "2308521", "2917260", "3673428", "4609885", "5766245" ]
[ "nonn" ]
10
0
5
[ "A000041", "A000290", "A014153", "A360486", "A360487" ]
null
Vaclav Kotesovec, Feb 09 2023
2023-02-09T10:44:41
oeisdata/seq/A360/A360486.seq
cdb6c0c3265da58c0a88348a64ff2b02
A360487
Convolution of A000009 and A000290.
[ "0", "1", "5", "14", "31", "60", "106", "176", "279", "426", "631", "912", "1291", "1795", "2457", "3317", "4424", "5837", "7626", "9875", "12684", "16171", "20476", "25764", "32228", "40094", "49626", "61131", "74966", "91545", "111346", "134921", "162906", "196031", "235134", "281175", "335251", "398615", "472695", "559115", "659721", "776608" ]
[ "nonn" ]
7
0
5
[ "A000009", "A000290", "A095944", "A360486", "A360487" ]
null
Vaclav Kotesovec, Feb 09 2023
2023-02-09T10:45:03
oeisdata/seq/A360/A360487.seq
9b8e12d7f498f25b3b95d3f363de94a3
A360488
31-gonal numbers: a(n) = n*(29*n-27)/2.
[ "0", "1", "31", "90", "178", "295", "441", "616", "820", "1053", "1315", "1606", "1926", "2275", "2653", "3060", "3496", "3961", "4455", "4978", "5530", "6111", "6721", "7360", "8028", "8725", "9451", "10206", "10990", "11803", "12645", "13516", "14416", "15345", "16303", "17290", "18306", "19351", "20425", "21528", "22660", "23821", "25011", "26230" ]
[ "nonn" ]
11
0
5
[ "A051867", "A051869", "A126385", "A126418", "A126499", "A360436", "A360488" ]
null
Nikolaos Pantelidis, Feb 09 2023
2023-07-04T14:27:06
oeisdata/seq/A360/A360488.seq
5c9b17029623759edd4c60dd601dded0
A360489
Convolution of A000219 and A001477.
[ "0", "1", "3", "8", "19", "43", "91", "187", "369", "711", "1335", "2459", "4442", "7904", "13851", "23965", "40958", "69248", "115872", "192097", "315652", "514485", "832112", "1336214", "2131099", "3377178", "5319290", "8330147", "12973662", "20100411", "30986772", "47542096", "72609729", "110410791", "167186826", "252138816", "378781852" ]
[ "nonn" ]
11
0
5
[ "A000219", "A001477", "A014153", "A095944", "A161870", "A360489" ]
null
Vaclav Kotesovec, Feb 09 2023
2023-02-09T11:51:30
oeisdata/seq/A360/A360489.seq
eb3aa2225fd73d13dc1ecb13808545e8
A360490
a(n) = (1/2) * A241102(n).
[ "109", "433", "172801", "238573", "363313", "640333", "1145773", "1968301", "2056753", "3121201", "3577393", "6588973", "11197873", "13079233", "13381633", "15431473", "21676033", "26462701", "34476301", "37340353", "43823053", "48481201", "54749953", "56454733", "90816013", "96038893", "102667501", "128786113" ]
[ "nonn" ]
19
0
5
[ "A014574", "A030078", "A103739", "A243761", "A270249", "A360490" ]
null
Ya-Ping Lu, Feb 09 2023
2023-02-27T11:23:27
oeisdata/seq/A360/A360490.seq
785fa6b8f2566ec42fa0e36c35f4a572
A360491
Square of A(n,m) read by antidiagonals. A(n,m) = number of set partitions of [5n] into 5-element subsets {i, i+k, i+2k, i+3k, i+4k} with 1 <= k <= m.
[ "1", "1", "1", "1", "2", "1", "1", "2", "3", "1", "1", "2", "4", "5", "1", "1", "2", "4", "7", "8", "1", "1", "2", "4", "10", "13", "13", "1", "1", "2", "4", "10", "19", "24", "21", "1", "1", "2", "4", "10", "20", "41", "44", "34", "1", "1", "2", "4", "10", "21", "43", "84", "81", "55", "1", "1", "2", "4", "10", "21", "58", "89", "180", "149", "89", "1", "1", "2", "4", "10", "21", "59", "120", "192", "372", "274", "144", "1" ]
[ "nonn", "tabl" ]
13
0
5
[ "A000012", "A000045", "A000073", "A104431", "A104443", "A349430", "A360333", "A360335", "A360491", "A360492", "A360493" ]
null
Peter Dolland, Feb 09 2023
2023-02-13T16:15:57
oeisdata/seq/A360/A360491.seq
e6fd675b5c6eadc98d2b3590a9a8e56c
A360492
Square of A(n,m) read by antidiagonals. A(n,m) = number of set partitions of [6n] into 6-element subsets {i, i+k, i+2k, i+3k, i+4k, i+5k} with 1 <= k <= m.
[ "1", "1", "1", "1", "2", "1", "1", "2", "3", "1", "1", "2", "4", "5", "1", "1", "2", "4", "7", "8", "1", "1", "2", "4", "10", "13", "13", "1", "1", "2", "4", "10", "19", "24", "21", "1", "1", "2", "4", "10", "20", "41", "44", "34", "1", "1", "2", "4", "10", "20", "43", "84", "81", "55", "1", "1", "2", "4", "10", "20", "56", "89", "180", "149", "89", "1", "1", "2", "4", "10", "20", "57", "115", "192", "372", "274", "144", "1" ]
[ "nonn", "tabl" ]
13
0
5
[ "A000012", "A000045", "A000073", "A104432", "A104443", "A360333", "A360335", "A360491", "A360492", "A360493" ]
null
Peter Dolland, Feb 09 2023
2023-02-13T16:16:38
oeisdata/seq/A360/A360492.seq
cbfaed16579ef7c9809d844b06012ae1
A360493
Square of A(n,m) read by antidiagonals. A(n,m) = number of set partitions of [7n] into 7-element subsets {i, i+k, i+2k, i+3k, i+4k, i+5k, i+6k} with 1 <= k <= m.
[ "1", "1", "1", "1", "2", "1", "1", "2", "3", "1", "1", "2", "4", "5", "1", "1", "2", "4", "7", "8", "1", "1", "2", "4", "10", "13", "13", "1", "1", "2", "4", "10", "19", "24", "21", "1", "1", "2", "4", "10", "20", "41", "44", "34", "1", "1", "2", "4", "10", "20", "43", "84", "81", "55", "1", "1", "2", "4", "10", "20", "56", "89", "180", "149", "89", "1", "1", "2", "4", "10", "20", "56", "115", "192", "372", "274", "144", "1" ]
[ "nonn", "tabl" ]
10
0
5
[ "A000012", "A000045", "A000073", "A104433", "A104443", "A360333", "A360335", "A360491", "A360492", "A360493" ]
null
Peter Dolland, Feb 09 2023
2023-02-13T16:17:18
oeisdata/seq/A360/A360493.seq
ce1743526ac46e8a03f73f0eda3741ae
A360494
a(n) is the least number that is prime when interpreted in bases 2 to n, but not n+1.
[ "11", "10", "101111", "10010111", "110111111101001", "111110100001", "11000011101101111", "10011110011011110110110011", "110100000010101111110001010011001110001", "1000000010000011110100010001000101001010110111001", "10100001011000101000110101011011011101111110100101011" ]
[ "nonn", "base" ]
12
0
5
[ "A086884", "A360494" ]
null
Robert Israel, Feb 09 2023
2023-02-09T21:56:21
oeisdata/seq/A360/A360494.seq
76cb0d8cb77bd4a1c054698b26481dd3
A360495
Triangle read by rows: T(n,k) is the minimum number of pairwise comparisons needed (in the worst case) to determine the k-th largest of n distinct numbers, for 1 <= k <= n.
[ "0", "1", "1", "2", "3", "2", "3", "4", "4", "3", "4", "6", "6", "6", "4", "5", "7", "8", "8", "7", "5", "6", "8", "10", "10", "10", "8", "6", "7", "9", "11", "12", "12", "11", "9", "7", "8", "11", "12", "14", "14", "14", "12", "11", "8", "9", "12", "14", "15", "16", "16", "15", "14", "12", "9", "10", "13", "15", "17", "18", "18", "18", "17", "15", "13", "10", "11", "14", "17", "18", "19", "20", "20", "19", "18", "17", "14", "11" ]
[ "nonn", "nice", "tabl", "hard" ]
49
0
5
[ "A036604", "A080804", "A215476", "A360495", "A374236" ]
null
Paolo Xausa, Feb 09 2023
2025-03-10T16:14:40
oeisdata/seq/A360/A360495.seq
96cc5e03802eadfefc6885642a7f6110
A360496
a(n) is the remainder after dividing n by its largest prime factor plus 1, a(1) = 1.
[ "1", "2", "3", "1", "5", "2", "7", "2", "1", "4", "11", "0", "13", "6", "3", "1", "17", "2", "19", "2", "5", "10", "23", "0", "1", "12", "3", "4", "29", "0", "31", "2", "9", "16", "3", "0", "37", "18", "11", "4", "41", "2", "43", "8", "3", "22", "47", "0", "1", "2", "15", "10", "53", "2", "7", "0", "17", "28", "59", "0", "61", "30", "7", "1", "9", "6", "67", "14", "21", "6", "71", "0", "73", "36", "3", "16", "5", "8", "79", "2", "1", "40", "83", "4", "13" ]
[ "nonn" ]
40
0
5
[ "A006530", "A360496" ]
null
Sebastian F. Orellana, Feb 09 2023
2023-02-20T15:18:38
oeisdata/seq/A360/A360496.seq
4e8387eb613ff94363c8a7e6766d6e83
A360497
Maximal sequence of primes whose digits are primes and whose digit sum is also a term.
[ "2", "3", "5", "7", "23", "223", "2777", "7727", "27527", "33377", "33773", "35537", "35573", "35753", "37337", "52727", "55337", "55373", "55733", "73553", "75227", "75353", "75533", "222557", "222773", "223277", "225257", "225527", "233357", "235337", "235553", "253553", "253733", "277223", "322727", "323537", "332573", "335273" ]
[ "nonn", "base" ]
34
0
5
[ "A000040", "A007953", "A062088", "A360497" ]
null
Hongwei Jin, Feb 09 2023
2023-03-05T19:49:45
oeisdata/seq/A360/A360497.seq
becee77814fe72092fa9cedc8c7031be
A360498
Number of ways to tile an n X n square using oblongs with distinct dimensions.
[ "0", "0", "4", "12", "256", "3620", "87216", "2444084", "87181220" ]
[ "nonn", "more" ]
11
0
5
[ "A004003", "A065072", "A099390", "A230031", "A233320", "A360498", "A360499" ]
null
Scott R. Shannon, Feb 09 2023
2023-12-30T17:03:27
oeisdata/seq/A360/A360498.seq
e8d0f22a50001464871c599960a8534a
A360499
Number of ways to tile an n X n square using rectangles with distinct dimensions.
[ "1", "1", "21", "269", "4489", "82981", "2995185", "118897973" ]
[ "nonn", "more" ]
12
0
5
[ "A004003", "A065072", "A099390", "A182275", "A230031", "A233320", "A360498", "A360499" ]
null
Scott R. Shannon, Feb 09 2023
2023-02-16T11:31:59
oeisdata/seq/A360/A360499.seq
dd4c2c36ff7baa72185b183f5ac973eb
A360500
Decimal expansion of the unique positive root to zeta(s) + zeta'(s) = 0, where zeta is the Riemann zeta function and zeta' is the derivative of zeta.
[ "1", "6", "8", "0", "4", "1", "7", "3", "5", "9", "2", "0", "4", "0", "3", "7", "5", "4", "7", "7", "6", "7", "3", "5", "0", "3", "7", "5", "0", "6", "0", "3", "3", "1", "9", "4", "4", "9", "2", "1", "1", "9", "1", "5", "8", "9", "1", "4", "7", "3", "9", "5", "2", "5", "1", "1", "8", "7", "8", "6", "5", "1", "3", "0", "7", "4", "1", "5", "0", "4", "0", "3", "8", "7", "9", "8", "2", "1", "6", "5", "7", "8", "1", "0", "7", "5", "6", "1", "0", "6", "3", "5", "9", "6", "0", "6", "1", "5" ]
[ "nonn", "cons" ]
8
0
5
null
null
Jianing Song, Feb 09 2023
2023-06-25T01:57:35
oeisdata/seq/A360/A360500.seq
ee4c73acad7ed73877ace23ebd33eb7f