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666,262,453B
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1999-12-11 03:00:00
2025-07-19 00:40:46
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A377404
In the binary expansion of n, replace the first, third, fifth, etc. 1's by 0's.
[ "0", "0", "0", "1", "0", "1", "2", "2", "0", "1", "2", "2", "4", "4", "4", "5", "0", "1", "2", "2", "4", "4", "4", "5", "8", "8", "8", "9", "8", "9", "10", "10", "0", "1", "2", "2", "4", "4", "4", "5", "8", "8", "8", "9", "8", "9", "10", "10", "16", "16", "16", "17", "16", "17", "18", "18", "16", "17", "18", "18", "20", "20", "20", "21", "0", "1", "2", "2", "4", "4", "4", "5", "8", "8", "8", "9", "8", "9", "10", "10" ]
[ "nonn", "base", "easy" ]
12
0
7
[ "A000120", "A265263", "A377404" ]
null
Rémy Sigrist, Oct 28 2024
2024-10-31T01:28:24
oeisdata/seq/A377/A377404.seq
2a956ca906b50e6d2700ac0b642225b9
A377405
Decimal expansion of Pi*csc(Pi/5).
[ "5", "3", "4", "4", "7", "9", "6", "6", "6", "0", "5", "7", "7", "9", "7", "5", "5", "6", "7", "1", "2", "5", "9", "2", "1", "8", "6", "2", "5", "3", "4", "4", "1", "3", "1", "9", "9", "5", "0", "7", "2", "5", "4", "6", "2", "6", "3", "3", "2", "6", "2", "2", "9", "3", "0", "0", "3", "3", "3", "1", "6", "2", "8", "1", "8", "9", "8", "1", "0", "5", "7", "4", "8", "3", "9", "5", "3", "7", "4", "5", "6", "6", "1", "3", "9", "0", "1", "9", "3", "8", "9", "7", "1", "3", "4", "8", "3", "3", "0", "7" ]
[ "nonn", "cons" ]
18
1
1
[ "A000796", "A001622", "A002163", "A010476", "A019692", "A175380", "A340722", "A345019", "A352324", "A377405" ]
null
Stefano Spezia, Oct 27 2024
2024-11-01T03:52:40
oeisdata/seq/A377/A377405.seq
3d7b2a1552212faab8fa138187695510
A377406
Primes which are sums of a prime triple (p, p+4, p+6).
[ "31", "211", "1381", "3271", "4999", "6421", "8059", "9769", "10399", "11551", "16249", "20479", "23269", "23629", "27031", "28309", "33349", "35491", "39019", "54139", "63949", "70879", "106591", "109579", "116131", "127219", "130729", "141439", "142969", "150151", "151771", "153589", "163741", "167449", "169591", "195511", "205339", "208489", "210361", "216679", "222601", "224149" ]
[ "nonn" ]
40
1
1
[ "A002476", "A022005", "A162001", "A376013", "A377406" ]
null
James S. DeArmon, Oct 27 2024
2024-11-19T10:19:29
oeisdata/seq/A377/A377406.seq
a1499bfd937d6e80e73440bdb4adf919
A377407
Lexicographically earliest sequence of nonnegative integers such that the alternating sums of consecutive terms are all distinct.
[ "0", "1", "3", "6", "11", "17", "25", "36", "50", "69", "92", "116", "141", "159", "185", "223", "256", "287", "340", "398", "445", "479", "536", "568", "596", "669", "767", "875", "969", "1078", "1154", "1225", "1292", "1338", "1502", "1658", "1764", "1917", "2012", "2105", "2272", "2468", "2640", "2754", "2837", "2955", "3204", "3429", "3648", "3888", "4147" ]
[ "nonn" ]
10
1
3
[ "A101274", "A363446", "A377407" ]
null
Rémy Sigrist, Oct 27 2024
2024-10-28T16:24:17
oeisdata/seq/A377/A377407.seq
5cf37e8bf2aba86920bc7056a8ac192c
A377408
Number of unlabeled semidistributive lattices with n elements.
[ "1", "1", "1", "2", "4", "9", "22", "60", "174", "534", "1720", "5767", "20013", "71546" ]
[ "nonn", "more" ]
10
1
4
[ "A006982", "A292790", "A377408" ]
null
Ludovic Schwob, Oct 27 2024
2024-11-18T02:55:36
oeisdata/seq/A377/A377408.seq
0eaf6ee310534297b21936de5b3fc76e
A377409
Number of unlabeled join-semidistributive lattices with n elements.
[ "1", "1", "1", "2", "4", "9", "23", "65", "197", "636", "2171", "7756", "28822", "110805" ]
[ "nonn", "more" ]
6
1
4
[ "A006982", "A377408", "A377409" ]
null
Ludovic Schwob, Oct 27 2024
2024-11-17T21:11:26
oeisdata/seq/A377/A377409.seq
310799ee690492110d19af0cf4e663a3
A377410
Maximum sum of a subset of {1..n} such that every pair of distinct elements has a different difference.
[ "0", "1", "3", "5", "8", "11", "14", "17", "21", "25", "29", "33", "37", "42", "47", "52", "57", "62", "67", "72", "78", "84", "90", "96", "102", "108", "114", "120", "126", "132", "138", "144", "151", "158", "165", "172", "179", "186", "193", "200", "207", "215", "223", "231", "239", "247", "255", "263", "271", "279", "287", "295", "303", "311", "319", "327", "335", "343", "351", "360", "369" ]
[ "nonn" ]
21
0
3
[ "A143823", "A143824", "A377410", "A377419" ]
null
Andrew Howroyd, Oct 27 2024
2025-03-24T18:22:26
oeisdata/seq/A377/A377410.seq
edeee315ed334011bc9b7382496af488
A377411
E.g.f. satisfies A(x) = 1/(1 + A(x)^2 * log(1 - x))^2.
[ "1", "2", "24", "550", "19094", "895148", "53013508", "3799302288", "319804780896", "30933514927968", "3381310375415952", "412231069711808400", "55460578942028274960", "8162361371407306334880", "1304519342283397587813600", "224999768419814742497623680", "41656460732290876726281018240" ]
[ "nonn" ]
21
0
2
[ "A377411", "A377448", "A377449", "A377492" ]
null
Seiichi Manyama, Oct 29 2024
2024-10-30T08:04:20
oeisdata/seq/A377/A377411.seq
75f334e4ffa4d07cc2b10a683be8285a
A377412
a(n) is the least k > 0 such that k*n belongs to A126684.
[ "1", "1", "1", "7", "1", "1", "7", "3", "1", "9", "1", "31", "7", "5", "3", "91", "1", "1", "9", "55", "1", "1", "31", "3", "7", "13", "5", "3", "3", "9", "91", "11", "1", "33", "1", "39", "9", "113", "55", "7", "1", "25", "1", "127", "31", "121", "3", "443", "7", "21", "13", "87", "5", "97", "3", "19", "3", "73", "9", "1199", "91", "21", "11", "1387", "1", "1", "33", "983", "1", "1", "39", "19", "9" ]
[ "nonn", "base", "easy" ]
10
0
4
[ "A032937", "A126684", "A195156", "A300867", "A377412", "A377413" ]
null
Rémy Sigrist, Oct 27 2024
2024-10-30T13:55:41
oeisdata/seq/A377/A377412.seq
2767eeb5acb78eae91afcd21a5177284
A377413
a(n) is the least term of A126684 of the form k*n with k > 0.
[ "0", "1", "2", "21", "4", "5", "42", "21", "8", "81", "10", "341", "84", "65", "42", "1365", "16", "17", "162", "1045", "20", "21", "682", "69", "168", "325", "130", "81", "84", "261", "2730", "341", "32", "1089", "34", "1365", "324", "4181", "2090", "273", "40", "1025", "42", "5461", "1364", "5445", "138", "20821", "336", "1029", "650", "4437", "260", "5141", "162" ]
[ "nonn", "base", "easy" ]
7
0
3
[ "A126684", "A300889", "A377412", "A377413" ]
null
Rémy Sigrist, Oct 27 2024
2024-10-28T16:24:47
oeisdata/seq/A377/A377413.seq
f117511cb2886c3db80cd0113c3d4349
A377414
a(n) is the largest term of A126684, say b, such that n AND b = b (where AND denotes the bitwise AND operator).
[ "0", "1", "2", "2", "4", "5", "4", "5", "8", "8", "10", "10", "8", "8", "10", "10", "16", "17", "16", "17", "20", "21", "20", "21", "16", "17", "16", "17", "20", "21", "20", "21", "32", "32", "34", "34", "32", "32", "34", "34", "40", "40", "42", "42", "40", "40", "42", "42", "32", "32", "34", "34", "32", "32", "34", "34", "40", "40", "42", "42", "40", "40", "42", "42", "64", "65", "64", "65" ]
[ "nonn", "base", "easy" ]
16
0
3
[ "A000975", "A063694", "A063695", "A070939", "A126684", "A371442", "A374356", "A377414", "A377415" ]
null
Rémy Sigrist, Oct 27 2024
2025-07-02T17:30:36
oeisdata/seq/A377/A377414.seq
c2fec0b543f1ccc6eb6da265b7cff0e5
A377415
a(n) = n - A377414(n).
[ "0", "0", "0", "1", "0", "0", "2", "2", "0", "1", "0", "1", "4", "5", "4", "5", "0", "0", "2", "2", "0", "0", "2", "2", "8", "8", "10", "10", "8", "8", "10", "10", "0", "1", "0", "1", "4", "5", "4", "5", "0", "1", "0", "1", "4", "5", "4", "5", "16", "17", "16", "17", "20", "21", "20", "21", "16", "17", "16", "17", "20", "21", "20", "21", "0", "0", "2", "2", "0", "0", "2", "2", "8", "8", "10", "10", "8", "8", "10" ]
[ "nonn", "base", "easy" ]
10
0
7
[ "A063694", "A063695", "A126684", "A371459", "A374355", "A377414", "A377415" ]
null
Rémy Sigrist, Oct 27 2024
2024-10-31T01:28:49
oeisdata/seq/A377/A377415.seq
1efd4eee9eeda2f2a9e7912141284474
A377416
Least integer k which, by a process analogous to the Keith numbers, reach k + n.
[ "14", "12", "11", "10", "16", "13", "17", "37", "18", "12", "11", "10", "40", "15", "27", "39", "13", "16", "24", "67", "22", "17", "12", "11", "10", "18", "21", "36", "43", "19", "15", "58", "23", "30", "13", "51", "48", "16", "54", "27", "44", "38", "34", "12", "11", "10", "14", "91", "20", "32", "55", "18", "42", "29", "35", "21", "25", "277", "15", "150", "66", "72", "56", "13", "46" ]
[ "nonn", "easy", "base" ]
9
0
1
[ "A007629", "A377416", "A377439" ]
null
Paolo P. Lava, Oct 27 2024
2024-10-31T01:44:22
oeisdata/seq/A377/A377416.seq
63dc029ccf97c8a84ec5e32a21b9b01f
A377417
Numbers t such that t + s(t) = s(s(t)), where s(t) is the sum of aliquot divisors of t (A001065(t)).
[ "1272", "4632", "31632", "266712", "805152", "4897392", "94177392", "2928675264" ]
[ "nonn", "more" ]
10
1
1
[ "A000203", "A000396", "A001065", "A003416", "A051027", "A063990", "A377417" ]
null
Lechoslaw Ratajczak, Oct 27 2024
2025-05-30T23:16:10
oeisdata/seq/A377/A377417.seq
373854dddb172f06e7ebb16d64caac03
A377418
a(n) is the smallest integer k whose set of divisors contains exactly n triples (x,y,z) of distinct divisors considered as integer-sided triangles with integer areas, or 0 if no such k exists.
[ "60", "120", "240", "360", "960", "720", "3480", "1440", "1680", "2880", "6600", "2520", "4200", "10440", "5460", "6240", "4680", "5040", "20400", "7800", "18360", "17160", "26520", "10080", "47040", "9360", "15120", "10920", "55080", "20160", "15600", "16380", "34320", "33600", "18720", "27300", "165240", "53040", "37800", "25200", "21840" ]
[ "nonn" ]
4
1
1
[ "A169823", "A188158", "A334382", "A377418" ]
null
Michel Lagneau, Oct 27 2024
2024-11-18T07:38:00
oeisdata/seq/A377/A377418.seq
4fedc169ee9bb9a0f960ba5ea4e84335
A377419
Minimum sum of a maximal subset of {1..n} such that every pair of distinct elements has a different difference.
[ "0", "1", "3", "3", "5", "7", "7", "7", "10", "10", "13", "15", "15", "15", "17", "17", "19", "19", "23", "24", "28", "29", "30", "30", "33", "34", "35", "36", "41", "41", "46", "48", "50", "52", "52", "53", "56", "56", "59", "59", "61", "63", "65", "68", "71", "71", "75", "81", "83", "84", "86", "87", "88", "89", "90", "91", "92", "93", "95", "95", "98", "98", "98", "105", "112", "118", "121", "121", "124" ]
[ "nonn" ]
18
0
3
[ "A325879", "A377410", "A377419" ]
null
Andrew Howroyd, Oct 27 2024
2025-03-24T18:22:32
oeisdata/seq/A377/A377419.seq
c5142406ea636abe620c60ac87e3b2a3
A377420
Decimal expansion of the site percolation threshold for the square lattice.
[ "5", "9", "2", "7", "4", "6", "0", "5", "0", "7" ]
[ "nonn", "cons", "more" ]
37
0
1
[ "A174849", "A178959", "A377420" ]
null
Pontus von Brömssen, Oct 30 2024
2024-12-15T04:28:15
oeisdata/seq/A377/A377420.seq
653c8b68e6ee4f409aab6d6ebbd43a93
A377421
Numbers whose binary reversal is prime and unequal to the original number.
[ "6", "10", "11", "12", "13", "14", "20", "22", "23", "24", "25", "26", "28", "29", "34", "37", "40", "41", "43", "44", "46", "47", "48", "50", "52", "53", "55", "56", "58", "61", "62", "67", "68", "71", "74", "77", "80", "82", "83", "86", "88", "91", "92", "94", "96", "97", "100", "101", "104", "106", "110", "112", "113", "115", "116", "121", "122", "124", "131", "134", "136", "142" ]
[ "nonn", "base" ]
36
1
1
[ "A006995", "A030101", "A074832", "A080790", "A204232", "A377421" ]
null
Simon R Blow, Oct 27 2024
2024-11-18T22:31:03
oeisdata/seq/A377/A377421.seq
00dce9f98dea264a9821b2d0cafeb403
A377422
Numbers that can be expressed as (m + sum of digits of m) in exactly four ways.
[ "1000000000000000000000102", "1000000000000000000000104", "1000000000000000000000106", "1000000000000000000000108", "1000000000000000000000110", "1000000000000000000000112", "1000000000000000000000114", "2000000000000000000000103", "2000000000000000000000105", "2000000000000000000000107", "2000000000000000000000109" ]
[ "nonn", "base" ]
18
1
1
[ "A006064", "A062028", "A230093", "A230100", "A377422" ]
null
Daniel Mondot, Oct 27 2024
2025-04-24T13:18:57
oeisdata/seq/A377/A377422.seq
6ea3c9853a408ca5990a189e8d2aeaa1
A377423
Distinct values of the number of integers between consecutive self numbers (A163139), in order of occurrence.
[ "1", "10", "14", "27", "40", "53", "66", "79", "92", "105", "118", "100", "117", "130", "143", "156", "169", "182", "195", "208", "23", "89", "203", "220", "233", "246", "259", "272", "285", "298", "34", "78", "293", "306", "323", "336", "349", "362", "375", "388", "45", "67", "383", "396", "409", "426", "439", "452", "465", "478", "56", "473", "486", "499" ]
[ "nonn", "base" ]
31
1
2
[ "A003052", "A163128", "A163139", "A225793", "A230093", "A230094", "A377422", "A377423", "A377472", "A377473" ]
null
Daniel Mondot, Oct 27 2024
2025-04-24T13:19:33
oeisdata/seq/A377/A377423.seq
29e069065f9f44774bb3d0bf565466d2
A377424
E.g.f. satisfies A(x) = 1/(2 - exp(x*A(x)^4)).
[ "1", "1", "11", "253", "9019", "438021", "26992707", "2018069341", "177498369419", "17959376607061", "2055112480694323", "262437681414074541", "36999068388057870651", "5708040382071000644581", "956533539112835413864739", "173022072326584494697760893", "33600521994423195247370822251", "6972639514725247888782370422261" ]
[ "nonn" ]
7
0
3
[ "A000670", "A052894", "A367134", "A367135", "A377424", "A377425", "A377428" ]
null
Seiichi Manyama, Oct 28 2024
2024-10-28T09:32:15
oeisdata/seq/A377/A377424.seq
12ec2d433a3b70cedb0e9c466c0dd325
A377425
E.g.f. satisfies A(x) = 1/(2 - exp(x*A(x)^2))^2.
[ "1", "2", "24", "572", "20788", "1021892", "63498116", "4776128772", "422019084132", "42854861672612", "4918270207805188", "629575456637707076", "88938171122678982692", "13744507646644260776292", "2306659049841490720035780", "417774877069420589127228164", "81222489094387608969950071780" ]
[ "nonn" ]
11
0
2
[ "A367134", "A376389", "A377424", "A377425", "A377428" ]
null
Seiichi Manyama, Oct 28 2024
2024-10-28T08:43:40
oeisdata/seq/A377/A377425.seq
b7fb4192ae22a85002861d4b3ea01daa
A377426
E.g.f. satisfies A(x) = 1/(1 + log(1 - x*A(x)^4)).
[ "1", "1", "11", "254", "9096", "443874", "27487034", "2065181880", "182545878152", "18562391987880", "2134764133508832", "273978733525211472", "38820518588599921200", "6019219063397716575840", "1013766602891962529642832", "184300120562198063868474624", "35971439241165448281366023424" ]
[ "nonn" ]
7
0
3
[ "A007840", "A052802", "A367138", "A367139", "A377426", "A377427", "A377429" ]
null
Seiichi Manyama, Oct 28 2024
2024-10-28T08:43:37
oeisdata/seq/A377/A377426.seq
69026e2ebe9c10a252e42aeaf45252ba
A377427
E.g.f. satisfies A(x) = 1/(1 + log(1 - x*A(x)^2))^2.
[ "1", "2", "24", "574", "20950", "1034588", "64592556", "4881978904", "433485612000", "44236604978112", "5102049359506176", "656355318561027072", "93184708368255490896", "14472905373087118415040", "2441090221004851173202080", "444344375119629711627403776", "86822659466273927313499224192" ]
[ "nonn" ]
8
0
2
[ "A376392", "A377426", "A377427", "A377429" ]
null
Seiichi Manyama, Oct 28 2024
2024-10-28T08:43:29
oeisdata/seq/A377/A377427.seq
beef893cfc673e707231751627f8a77b
A377428
Expansion of e.g.f. (1/x) * Series_Reversion( x*(2 - exp(x))^4 ).
[ "1", "4", "56", "1432", "54184", "2734104", "173032680", "13192623448", "1177932112040", "120610734752920", "13935516914366824", "1793837540679492312", "254604546529825454376", "39504947952102355425304", "6652925600854130108675048", "1208610940763303680263653464", "235601431979292206398224418216" ]
[ "nonn" ]
9
0
2
[ "A052894", "A376389", "A376390", "A377424", "A377425", "A377428" ]
null
Seiichi Manyama, Oct 28 2024
2024-10-28T09:32:10
oeisdata/seq/A377/A377428.seq
35fd49dfcad72ca34bef2b1ffd17bce1
A377429
Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 + log(1-x))^4 ).
[ "1", "4", "56", "1436", "54540", "2763696", "175688744", "13457185080", "1207241712536", "124205544781728", "14420516981211360", "1865347268407271040", "266056506383725529568", "41485848013549310521536", "7021170794004780911946048", "1281852242007649764308226240", "251124461130948243588667169280" ]
[ "nonn" ]
9
0
2
[ "A052802", "A376392", "A376393", "A377426", "A377427", "A377429" ]
null
Seiichi Manyama, Oct 28 2024
2024-10-28T08:43:33
oeisdata/seq/A377/A377429.seq
375c2f1c2e2b232137a5963931d207e8
A377430
Numbers k such that there is exactly one squarefree number between prime(k)+1 and prime(k+1)-1.
[ "3", "4", "9", "10", "13", "14", "15", "22", "26", "33", "39", "48", "59", "60", "65", "85", "88", "89", "93", "104", "113", "116", "122", "142", "143", "147", "148", "155", "181", "188", "198", "201", "209", "212", "213", "224", "226", "234", "235", "244", "254", "264", "265", "268", "287", "288", "313", "320", "328", "332", "333", "341", "343", "353", "361", "366" ]
[ "nonn" ]
17
1
1
[ "A000040", "A001223", "A002808", "A005117", "A007674", "A008578", "A013603", "A013929", "A029707", "A036263", "A036378", "A046933", "A061398", "A068360", "A072284", "A075526", "A076259", "A077641", "A077643", "A078147", "A112925", "A112926", "A120992", "A293697", "A373198", "A377038", "A377287", "A377430", "A377431", "A377434" ]
null
Gus Wiseman, Oct 29 2024
2024-11-29T13:50:30
oeisdata/seq/A377/A377430.seq
3ca90159573c101a0e29ce48daf3333b
A377431
Numbers k such that there is at least one squarefree number between prime(k)+1 and prime(k+1)-1.
[ "3", "4", "6", "8", "9", "10", "11", "12", "13", "14", "15", "16", "18", "19", "21", "22", "23", "24", "26", "27", "29", "30", "31", "32", "33", "34", "36", "37", "38", "39", "40", "42", "44", "46", "47", "48", "50", "51", "53", "54", "55", "56", "58", "59", "60", "61", "62", "63", "65", "66", "67", "68", "71", "72", "73", "74", "75", "76", "77", "78", "79", "80", "82", "84", "85", "86" ]
[ "nonn" ]
6
1
1
[ "A000040", "A001223", "A002808", "A005117", "A007674", "A008578", "A013603", "A013929", "A029707", "A036263", "A036378", "A046933", "A061398", "A068360", "A072284", "A075526", "A076259", "A077641", "A077643", "A078147", "A112925", "A112926", "A120992", "A293697", "A373198", "A377038", "A377057", "A377287", "A377430", "A377431" ]
null
Gus Wiseman, Oct 29 2024
2024-10-31T11:22:44
oeisdata/seq/A377/A377431.seq
6de459ddf6bbe78d7777ba72fe9682bc
A377432
Number of perfect-powers x in the range prime(n) < x < prime(n+1).
[ "0", "1", "0", "2", "0", "1", "0", "0", "2", "0", "2", "0", "0", "0", "1", "0", "0", "1", "0", "0", "0", "1", "0", "0", "1", "0", "0", "0", "0", "2", "1", "0", "0", "1", "0", "0", "0", "0", "1", "0", "0", "0", "0", "1", "0", "0", "1", "1", "0", "0", "0", "0", "1", "1", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "1", "0", "1", "0", "0", "0", "1", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "1", "0", "0" ]
[ "nonn" ]
15
1
4
[ "A000015", "A000040", "A000961", "A001223", "A001597", "A002808", "A006093", "A007916", "A008864", "A024619", "A031218", "A046933", "A053289", "A053607", "A053706", "A053707", "A057820", "A064113", "A065514", "A065890", "A080101", "A080769", "A081676", "A244508", "A246655", "A304521", "A361102", "A366833", "A375706", "A377051", "A377282", "A377286", "A377432", "A377433", "A377434", "A377436", "A377466", "A377467", "A377468" ]
null
Gus Wiseman, Oct 31 2024
2024-11-06T04:35:08
oeisdata/seq/A377/A377432.seq
0b199d3e18e7bf8fa44a68ea1fe60517
A377433
Number of non-perfect-powers x in the range prime(n) < x < prime(n+1).
[ "0", "0", "1", "1", "1", "2", "1", "3", "3", "1", "3", "3", "1", "3", "4", "5", "1", "4", "3", "1", "5", "2", "5", "7", "2", "1", "3", "1", "3", "11", "2", "5", "1", "8", "1", "5", "5", "3", "4", "5", "1", "9", "1", "2", "1", "11", "10", "2", "1", "3", "5", "1", "8", "4", "5", "5", "1", "5", "3", "1", "8", "13", "3", "1", "3", "12", "5", "8", "1", "3", "5", "6", "5", "5", "3", "5", "7", "2", "7", "9", "1", "9", "1", "5", "2" ]
[ "nonn" ]
8
1
6
[ "A000015", "A000040", "A000961", "A001223", "A001597", "A002808", "A007916", "A024619", "A029707", "A031218", "A049579", "A053289", "A053607", "A053706", "A057820", "A064113", "A065514", "A065890", "A080101", "A081676", "A244508", "A246655", "A304521", "A361102", "A366833", "A368748", "A375706", "A376559", "A377282", "A377286", "A377289", "A377432", "A377433", "A377434", "A377436", "A377466", "A377467", "A377468" ]
null
Gus Wiseman, Nov 02 2024
2024-11-04T09:06:13
oeisdata/seq/A377/A377433.seq
b9d60c1119a80c11adbcc09a3c12c415
A377434
Numbers k such that there is a unique perfect-power x in the range prime(k) < x < prime(k+1).
[ "2", "6", "15", "18", "22", "25", "31", "34", "39", "44", "47", "48", "53", "54", "61", "66", "68", "72", "78", "85", "92", "97", "99", "105", "114", "122", "129", "137", "146", "154", "162", "168", "172", "181", "191", "200", "210", "217", "219", "228", "240", "251", "263", "269", "274", "283", "295", "306", "309", "319", "329", "342", "357", "367", "378", "393", "400" ]
[ "nonn" ]
12
1
1
[ "A000015", "A000040", "A000961", "A001223", "A001597", "A006093", "A006549", "A007916", "A008864", "A013597", "A014210", "A014234", "A023055", "A031218", "A045542", "A046933", "A052410", "A053289", "A053607", "A057820", "A061398", "A065514", "A068360", "A069623", "A080101", "A081676", "A131605", "A216765", "A224363", "A244508", "A246655", "A304521", "A336416", "A345531", "A366833", "A375706", "A375740", "A376559", "A376560", "A376561", "A376562", "A377057", "A377281", "A377287", "A377289", "A377430", "A377431", "A377432", "A377434", "A377436", "A377466", "A377467", "A377468" ]
null
Gus Wiseman, Nov 02 2024
2024-11-04T09:15:43
oeisdata/seq/A377/A377434.seq
4300fc2e25619071e403e7044c953b25
A377435
Number of perfect-powers x in the range 2^n <= x < 2^(n+1).
[ "1", "0", "1", "2", "3", "3", "5", "7", "8", "11", "16", "24", "32", "42", "61", "82", "118", "166", "231", "322", "453", "635", "892", "1253", "1767", "2487", "3505", "4936", "6959", "9816", "13850", "19538", "27578", "38933", "54972", "77641", "109668", "154922", "218879", "309277", "437047", "617658", "872968", "1233896", "1744153", "2465547", "3485478" ]
[ "nonn" ]
14
0
4
[ "A000015", "A000040", "A000961", "A001223", "A001597", "A007916", "A013597", "A014210", "A014234", "A023055", "A031218", "A045542", "A052410", "A053289", "A057820", "A065514", "A069623", "A077643", "A081676", "A131605", "A188951", "A216765", "A244508", "A345531", "A375706", "A377432", "A377434", "A377435", "A377436", "A377467", "A377468", "A377701", "A377702" ]
null
Gus Wiseman, Nov 04 2024
2024-11-06T10:19:50
oeisdata/seq/A377/A377435.seq
8b096983fee63bbded2c5edcbd66b200
A377436
Numbers k such that there is no perfect-power x in the range prime(k) < x < prime(k+1).
[ "1", "3", "5", "7", "8", "10", "12", "13", "14", "16", "17", "19", "20", "21", "23", "24", "26", "27", "28", "29", "32", "33", "35", "36", "37", "38", "40", "41", "42", "43", "45", "46", "49", "50", "51", "52", "55", "56", "57", "58", "59", "60", "62", "63", "64", "65", "67", "69", "70", "71", "73", "74", "75", "76", "77", "79", "80", "81", "82", "83", "84", "86", "87", "88", "89", "90" ]
[ "nonn" ]
6
1
2
[ "A000015", "A000040", "A000961", "A001223", "A001597", "A002808", "A006093", "A008864", "A013597", "A014210", "A014234", "A024619", "A046933", "A053607", "A053706", "A053707", "A057820", "A061398", "A064113", "A065514", "A065890", "A068360", "A075526", "A080101", "A081676", "A221056", "A224363", "A244508", "A246655", "A276781", "A304521", "A345531", "A361102", "A366833", "A376597", "A377054", "A377057", "A377282", "A377286", "A377287", "A377288", "A377289", "A377430", "A377431", "A377432", "A377434", "A377436", "A377466", "A377467", "A377468" ]
null
Gus Wiseman, Nov 02 2024
2024-11-04T09:15:48
oeisdata/seq/A377/A377436.seq
097ec933b6ea337755ed2d2aa56b820b
A377437
Number of multiplication steps for n to reach 1 when iterating 5x+1 removing factors 2 and 3, or -1 if it never reaches 1.
[ "0", "0", "0", "0", "4", "0", "1", "0", "0", "4", "2", "0", "3", "1", "4", "0", "2", "0", "1", "4", "1", "2", "6", "0", "2", "3", "0", "1", "5", "4", "4", "0", "2", "2", "3", "0", "5", "1", "3", "4", "3", "1", "1", "2", "4", "6", "7", "0", "4", "2", "2", "3", "7", "0", "7", "1", "1", "5", "6", "4", "3", "4", "1", "0", "4", "2", "2", "2", "6", "3", "7", "0", "4", "5", "2", "1", "5", "3", "3", "4", "0", "3", "4", "1", "8", "1", "5", "2", "6", "4", "2", "6", "4", "7", "16", "0", "1", "4", "2", "2", "5", "2", "2", "3" ]
[ "nonn" ]
35
1
5
[ "A065330", "A377437" ]
null
Frank A. Stevenson, Oct 27 2024
2025-02-25T11:35:20
oeisdata/seq/A377/A377437.seq
3566a69fb78e3fa873462fb777aa5709
A377438
E.g.f. satisfies A(x) = (1 - x * log(1 - x) * A(x))^2.
[ "1", "0", "4", "6", "136", "660", "13668", "128520", "2846240", "41368320", "1021615920", "20260896480", "564541372800", "14159468157120", "445236762450816", "13446791658256320", "474901138629918720", "16708336544212992000", "658279512232521209856", "26360704394322974161920", "1150065728368040063784960" ]
[ "nonn" ]
39
0
3
[ "A052830", "A371140", "A377438", "A377691" ]
null
Seiichi Manyama, Nov 04 2024
2024-11-05T03:12:29
oeisdata/seq/A377/A377438.seq
f9ff19a28e5b3764ad793c4b49fd216b
A377439
Least integer k which, by a process analogous to the Keith numbers, reach k - n.
[ "14", "18", "10", "11", "12", "10", "11", "10", "10", "10", "20", "27", "22", "25", "20", "23", "20", "21", "20", "38", "32", "30", "31", "34", "30", "32", "31", "30", "40", "47", "41", "45", "40", "43", "42", "41", "40", "58", "51", "56", "50", "54", "53", "52", "51", "50", "61", "67", "60", "65", "64", "63", "62", "61", "60", "78", "70", "76", "75", "74", "73", "72", "71", "70", "80", "87" ]
[ "nonn", "easy", "base" ]
5
0
1
[ "A007629", "A377416", "A377439" ]
null
Paolo P. Lava, Oct 28 2024
2024-10-31T01:45:18
oeisdata/seq/A377/A377439.seq
d9c778e6e6f82a52d3daeeeeb0ab42a9
A377440
Lexicographically latest sequence of nonnegative integers such that for any n >= 0, A265263(n) = A265263(a(n)).
[ "0", "1", "3", "2", "6", "5", "4", "7", "12", "10", "9", "13", "8", "11", "15", "14", "24", "20", "18", "25", "17", "21", "27", "26", "16", "19", "23", "22", "30", "29", "28", "31", "48", "40", "36", "49", "34", "41", "51", "50", "33", "37", "43", "42", "54", "53", "52", "55", "32", "35", "39", "38", "46", "45", "44", "47", "60", "58", "57", "61", "56", "59", "63", "62", "96", "80", "72", "97" ]
[ "nonn", "base" ]
8
0
3
[ "A265263", "A367307", "A377440" ]
null
Rémy Sigrist, Oct 28 2024
2024-10-31T01:29:00
oeisdata/seq/A377/A377440.seq
daa32bb14d514e4f636919e14061bf4f
A377441
Square array T(n, k) read by rising antidiagonals. Row n has the ordinary generating function (-(n*x^3-(n+1)*x^2+x) + sqrt((n*x^3-(n+1)*x^2+x)^2 - 4*(x^3-x^2)*((n+1)*x^2-x)))/(2*(x^3-x^2)).
[ "1", "1", "1", "1", "1", "2", "1", "1", "2", "5", "1", "1", "2", "6", "14", "1", "1", "2", "7", "21", "42", "1", "1", "2", "8", "30", "78", "132", "1", "1", "2", "9", "41", "136", "299", "429", "1", "1", "2", "10", "54", "222", "630", "1172", "1430", "1", "1", "2", "11", "69", "342", "1221", "2959", "4677", "4862", "1", "1", "2", "12", "86", "502", "2192", "6774", "14058", "18947", "16796", "1", "1", "2", "13", "105", "708", "3687", "14129", "37853", "67472", "77746", "58786", "1", "1", "2", "14", "126", "966", "5874", "27184" ]
[ "nonn", "tabl" ]
25
0
6
[ "A000012", "A000108", "A006720", "A105633", "A152172", "A254316", "A328380", "A330025", "A371965", "A377441", "A377442", "A377443" ]
null
Thomas Scheuerle, Oct 28 2024
2024-11-17T07:36:32
oeisdata/seq/A377/A377441.seq
ef9766a841cf2f5ade887f19cc007608
A377442
Square array read by rising antidiagonals: T(n, k) = A377441(-n, k), an extension of A377441 into the domain of negative n.
[ "1", "1", "1", "1", "1", "2", "1", "1", "2", "5", "1", "1", "2", "4", "14", "1", "1", "2", "3", "9", "42", "1", "1", "2", "2", "6", "22", "132", "1", "1", "2", "1", "5", "12", "57", "429", "1", "1", "2", "0", "6", "6", "26", "154", "1430", "1", "1", "2", "-1", "9", "-2", "15", "59", "429", "4862", "1", "1", "2", "-2", "14", "-18", "24", "24", "138", "1223", "16796", "1", "1", "2", "-3", "21", "-48", "77", "-23", "53", "332", "3550", "58786", "1", "1", "2", "-4", "30", "-98", "222", "-226", "102", "107", "814", "10455", "208012", "1", "1", "2" ]
[ "sign", "tabl" ]
15
0
6
[ "A000012", "A000108", "A006720", "A105633", "A152172", "A254316", "A328380", "A330025", "A371965", "A377441", "A377442", "A377443" ]
null
Thomas Scheuerle, Nov 04 2024
2024-11-17T07:36:46
oeisdata/seq/A377/A377442.seq
1780b774734b075084c4805d55cb2338
A377443
Triangular array T(n,k) read by rows, satisfies A377441(n, k+2) = Sum_{m=0..k} T(k, m)*n^m.
[ "2", "5", "1", "14", "6", "1", "42", "27", "8", "1", "132", "111", "45", "10", "1", "429", "441", "222", "67", "12", "1", "1430", "1728", "1029", "382", "93", "14", "1", "4862", "6733", "4608", "2005", "599", "123", "16", "1", "16796", "26181", "20199", "10018", "3495", "881", "157", "18", "1", "58786", "101763", "87270", "48445", "19188", "5641", "1236", "195", "20", "1" ]
[ "nonn", "tabl" ]
34
0
1
[ "A000108", "A091894", "A175136", "A254316", "A371965", "A377441", "A377442", "A377443" ]
null
Thomas Scheuerle, Nov 04 2024
2025-03-30T20:23:53
oeisdata/seq/A377/A377443.seq
e6f28ba2fd6db581252f000048433c97
A377444
a(n) is the smallest integer k such that the Diophantine equation x^3 + y^3 + z^3 = k^3, where 0 < x <= y <= z has exactly n integer solutions.
[ "6", "18", "54", "87", "108", "216", "174", "348", "396", "324", "696", "864", "492", "1080", "984", "1728", "1584", "1296", "2160", "1440", "3312", "3132", "2880", "2592", "4176", "4230", "6624", "3960", "5184", "6264", "4320", "5760", "6480", "7200", "10200", "7920", "9936", "5940", "8640", "12060", "11520", "9900", "14256", "14400", "16560", "14760", "15660", "22140" ]
[ "nonn", "easy" ]
26
1
1
[ "A316359", "A377444" ]
null
Zhining Yang, Oct 28 2024
2025-06-12T13:00:05
oeisdata/seq/A377/A377444.seq
ce1351c78718cd12589fac493f4447f6
A377445
E.g.f. satisfies A(x) = 1/(1 + A(x) * log(1 - x))^2.
[ "1", "2", "16", "226", "4678", "128728", "4437416", "184176816", "8949477600", "498611374704", "31343763192144", "2194986671431200", "169478318264408832", "14304849733469090976", "1310439414650613267552", "129495512412669053694720", "13731040497246647099309568", "1555129289690056322821075968" ]
[ "nonn" ]
8
0
2
[ "A052803", "A367158", "A377445", "A377446", "A377449" ]
null
Seiichi Manyama, Oct 28 2024
2024-10-29T09:06:41
oeisdata/seq/A377/A377445.seq
6052af7d3b4ed9d5cc638f5a2b861eb5
A377446
E.g.f. satisfies A(x) = 1/(1 + A(x) * log(1 - x))^3.
[ "1", "3", "33", "642", "18312", "694242", "32960910", "1883757264", "126015816624", "9664169177136", "836144408644560", "80584887639709296", "8562470160920850144", "994509363776066618256", "125361725299037966371824", "17045520282440541500805504", "2486876242354800277464657792", "387527092638347603108279296512" ]
[ "nonn" ]
10
0
2
[ "A052803", "A377445", "A377446", "A377447", "A377449" ]
null
Seiichi Manyama, Oct 28 2024
2024-10-29T09:06:45
oeisdata/seq/A377/A377446.seq
5f61eaee961c2d6f063e86a90dc41d59
A377447
E.g.f. satisfies A(x) = 1/(1 + A(x)^3 * log(1 - x)).
[ "1", "1", "9", "158", "4246", "154924", "7162292", "401410680", "26453842848", "2004890580840", "171808440737928", "16427634731841552", "1733913231506623632", "200249346295125726624", "25118871041680870112352", "3400884689353492497349248", "494317826168209713209318400", "76773315675375252953433141120" ]
[ "nonn" ]
9
0
3
[ "A367158", "A377447", "A377448" ]
null
Seiichi Manyama, Oct 28 2024
2024-10-29T09:06:48
oeisdata/seq/A377/A377447.seq
08c8196bd3dd2711509bbfa5d4fb9dc7
A377448
E.g.f. satisfies A(x) = 1/(1 + A(x)^4 * log(1 - x)).
[ "1", "1", "11", "242", "8216", "379874", "22286230", "1586307120", "132837129240", "12796759555080", "1394232748385400", "169520552541195360", "22755571384758552000", "3342628991206830087840", "533345016648993065361120", "91858353520083403370288640", "16985334194077245970016972160", "3356121850436121636865113624960" ]
[ "nonn" ]
9
0
3
[ "A367158", "A377447", "A377448" ]
null
Seiichi Manyama, Oct 28 2024
2024-10-29T09:06:52
oeisdata/seq/A377/A377448.seq
eb0eeef1cba43b6a8b39549a2d8db494
A377449
E.g.f. satisfies A(x) = 1/(1 + A(x) * log(1 - x))^4.
[ "1", "4", "56", "1388", "50444", "2436176", "147308248", "10720410984", "913099165080", "89150817350880", "9819313409197632", "1204676163038931744", "162935364815509750368", "24088567621306193343360", "3864931159784777490964608", "668886871993798772730203136", "124209455281616641852564586496" ]
[ "nonn" ]
9
0
2
[ "A052803", "A377445", "A377446", "A377448", "A377449" ]
null
Seiichi Manyama, Oct 28 2024
2024-10-29T09:06:56
oeisdata/seq/A377/A377449.seq
5541bcae28483e985956a7c97466cef3
A377450
E.g.f. satisfies A(x) = 1/(1 - A(x)^3 * (exp(x) - 1)).
[ "1", "1", "9", "157", "4209", "153301", "7075209", "395858317", "26043658209", "1970447255941", "168569253106809", "16090431675455677", "1695423031884496209", "195469637688003331381", "24477403062879209570409", "3308367753565825806208237", "480047805083610542972470209", "74429414765710201956179803621" ]
[ "nonn" ]
10
0
3
[ "A367161", "A377450", "A377451", "A377453" ]
null
Seiichi Manyama, Oct 28 2024
2024-10-29T09:06:59
oeisdata/seq/A377/A377450.seq
013389e50367c40154e492b83e0612c8
A377451
E.g.f. satisfies A(x) = 1/(1 - A(x)^4 * (exp(x) - 1)).
[ "1", "1", "11", "241", "8171", "377401", "22118531", "1572752161", "131565858491", "12661132904521", "1378019469008051", "167374385250354481", "22443998566390975211", "3293411316452536046041", "524941525063836265071971", "90316250360918785641307201", "16682672480771981403086626331", "3292860351837963891732540729961" ]
[ "nonn" ]
9
0
3
[ "A367161", "A377450", "A377451", "A377454" ]
null
Seiichi Manyama, Oct 28 2024
2024-10-29T09:07:02
oeisdata/seq/A377/A377451.seq
19b2dc6222b7fa831faf1618f906c533
A377452
E.g.f. satisfies A(x) = 1/(1 - A(x) * (exp(x) - 1))^2.
[ "1", "2", "16", "224", "4612", "126392", "4340836", "179534504", "8693925172", "482731239032", "30243460133956", "2110849596096584", "162438922745208532", "13665129603889106072", "1247684652874279407076", "122885960933254703151464", "12987106624622962667192692", "1466014441678589235669027512" ]
[ "nonn" ]
7
0
2
[ "A052895", "A367161", "A377452", "A377453", "A377454" ]
null
Seiichi Manyama, Oct 28 2024
2024-10-29T09:07:06
oeisdata/seq/A377/A377452.seq
32f9438fac2604a3c56e9b16621154c1
A377453
E.g.f. satisfies A(x) = 1/(1 - A(x) * (exp(x) - 1))^3.
[ "1", "3", "33", "639", "18177", "687663", "32585793", "1858893039", "124128928257", "9502575055983", "820716875385153", "78959656742857839", "8375163183606235137", "971063889443489669103", "122194096152956362997313", "16586054767142612489229039", "2415658529914018225123490817", "375779208568915395913102663023" ]
[ "nonn" ]
10
0
2
[ "A052895", "A377450", "A377452", "A377453", "A377454" ]
null
Seiichi Manyama, Oct 28 2024
2024-10-29T09:07:08
oeisdata/seq/A377/A377453.seq
8f80ab5a0232572e34b9a2c02281e916
A377454
E.g.f. satisfies A(x) = 1/(1 - A(x) * (exp(x) - 1))^4.
[ "1", "4", "56", "1384", "50216", "2422024", "146279816", "10633540264", "904699882856", "88234503004744", "9707888368200776", "1189726637663987944", "160741241332049376296", "23738834426406792534664", "3804763374380021378204936", "657774175587674349626736424", "122016250347540672925706274536" ]
[ "nonn" ]
8
0
2
[ "A052895", "A377451", "A377452", "A377453", "A377454" ]
null
Seiichi Manyama, Oct 28 2024
2024-10-29T09:07:12
oeisdata/seq/A377/A377454.seq
9b5a6784c933894e27639f819d80743a
A377455
Numbers k such that k and k+1 are both terms in A377385.
[ "1", "1224", "126191", "428519", "649727", "1015416", "1988064", "3425856", "4542740", "4574240", "4743900", "4813668", "5131008", "6899840", "7001315", "7172424", "7356096", "8020583", "10206000", "11146421", "11566800", "11597999", "11693807", "12556700", "13742624", "13745759", "13831487", "14365120", "16939799", "20561400" ]
[ "nonn", "base" ]
8
1
2
[ "A034968", "A118363", "A328205", "A376793", "A377271", "A377385", "A377455", "A377456", "A377457" ]
null
Amiram Eldar, Oct 29 2024
2024-10-29T12:33:00
oeisdata/seq/A377/A377455.seq
706c8a7bb548739630a336aeecd98e40
A377456
Starts of runs of 3 consecutive integers that are all terms of A377385.
[ "39998374960", "326660221888", "520935101440", "723006782783", "923072388208", "977932351240", "1134397887874", "1351753892944", "1864828904536", "2171452161023" ]
[ "nonn", "base", "more" ]
5
1
1
[ "A034968", "A118363", "A328205", "A376794", "A377273", "A377385", "A377455", "A377456" ]
null
Amiram Eldar, Oct 29 2024
2024-10-29T12:33:07
oeisdata/seq/A377/A377456.seq
b90a8fc90d5bb8605107de1fe229db5d
A377457
Numbers k such that k and k+1 are both terms in A377386.
[ "1", "12563307224", "15897851550", "30412355999", "37706988600", "52576459775", "67673545631", "118533901904", "244316235000", "297265003100", "332110595000", "340800265728", "349358409503", "375624917760", "378624889440", "416375389115", "450026519903", "561162864248", "596004199840", "728643460544" ]
[ "nonn", "base" ]
8
1
2
[ "A034968", "A118363", "A328205", "A376795", "A377272", "A377385", "A377386", "A377455", "A377457" ]
null
Amiram Eldar, Oct 29 2024
2024-10-29T12:33:16
oeisdata/seq/A377/A377457.seq
aac6d752fb0470509574625534ecbb07
A377458
G.f. A(x) satisfies A(x) = 1 + x/A(x)^2 * (1 - A(x) + A(x)^4).
[ "1", "1", "1", "4", "7", "29", "61", "256", "596", "2507", "6247", "26197", "68652", "286232", "780508", "3231060", "9102590", "37392935", "108279767", "441342883", "1308552478", "5292781266", "16018989626", "64315663716", "198213843417", "790252270626", "2474924176566", "9802205324516", "31142246753638" ]
[ "nonn" ]
37
0
4
[ "A317133", "A364759", "A371891", "A377458", "A377706", "A378920", "A378958" ]
null
Seiichi Manyama, Dec 12 2024
2024-12-13T09:40:25
oeisdata/seq/A377/A377458.seq
f53ffcf6edf33e46a1d12e6b51da090d
A377459
Square array T(n,k) read by ascending antidiagonals: number of steps for a certain Euclidean-style algorithm (see below) to find the GCD of n and k.
[ "0", "1", "2", "3", "0", "3", "4", "2", "4", "5", "6", "1", "0", "2", "6", "7", "5", "4", "5", "4", "8", "9", "3", "3", "0", "6", "3", "9", "10", "5", "1", "5", "7", "2", "7", "11", "12", "4", "6", "2", "0", "4", "6", "5", "12", "13", "8", "7", "5", "7", "8", "7", "5", "7", "14", "15", "6", "3", "1", "6", "0", "6", "2", "3", "6", "15", "16", "8", "7", "8", "4", "8", "10", "8", "7", "8", "10", "17", "18", "7", "6", "5", "6", "4", "0", "5", "9", "4", "9", "8", "18" ]
[ "nonn", "tabl", "easy" ]
37
1
3
[ "A072030", "A285721", "A377459" ]
null
Thomas Anton, Jan 03 2025
2025-01-15T09:01:55
oeisdata/seq/A377/A377459.seq
ac9dcda2411ea02c62bab93d7ab8c3db
A377460
Numbers that cannot be generated from the box stacking described below.
[ "11", "31", "49", "62", "73", "82", "83", "85", "92", "119", "125", "139", "145", "151", "157", "167", "173", "179", "199", "221", "223", "238", "245", "247", "250", "251", "255", "257", "262", "263", "265", "278", "284", "295", "328", "332", "359", "389", "406", "413", "433", "445", "461", "467", "471", "487", "491", "494", "509", "515", "523", "530", "533", "539", "551", "556", "557", "590" ]
[ "nonn" ]
20
1
1
[ "A000079", "A000244", "A377460" ]
null
Erich Friedman, Oct 29 2024
2024-11-17T07:29:10
oeisdata/seq/A377/A377460.seq
929e848d5f8f526fda2efb52b5552dad
A377461
Number of ranked labeled trees compatible with the 2-leaf perfect phylogeny of sample size n that possesses the largest number of compatible ranked labeled trees.
[ "1", "1", "2", "9", "54", "540", "6480", "113400", "2268000", "61236000", "1837080000", "70727580000", "2970558360000", "154469034720000", "8650265944320000", "583892951241600000", "42040292489395200000", "3573424861598592000000", "321608237543873280000000", "33608060823334757760000000" ]
[ "nonn" ]
24
2
3
[ "A001405", "A006472", "A306266", "A377461" ]
null
Noah A Rosenberg, Jan 03 2025
2025-01-19T11:29:35
oeisdata/seq/A377/A377461.seq
737252e9c53262e84779984cc27bf558
A377462
a(n) is the size of the central part of the symmetric representation of sigma(n), or 0 if such a part does not exits.
[ "1", "3", "0", "7", "0", "12", "0", "15", "3", "0", "0", "28", "0", "0", "8", "31", "0", "39", "0", "42", "0", "0", "0", "60", "5", "0", "0", "56", "0", "72", "0", "63", "0", "0", "12", "91", "0", "0", "0", "90", "0", "96", "0", "0", "32", "0", "0", "124", "7", "15", "0", "0", "0", "120", "0", "120", "0", "0", "0", "168", "0", "0", "16", "127", "0", "144", "0", "0", "0", "36", "0", "195", "0", "0", "0", "0", "18", "0", "0", "186", "9", "0", "0", "224", "0" ]
[ "nonn" ]
26
1
2
[ "A000203", "A000593", "A001227", "A028982", "A028983", "A033879", "A033880", "A053866", "A067742", "A071561", "A071562", "A174973", "A196020", "A235791", "A236104", "A237270", "A237271", "A237591", "A237593", "A241558", "A241559", "A245092", "A262626", "A295423", "A347950", "A377462" ]
null
Omar E. Pol, Oct 29 2024
2024-11-06T04:39:03
oeisdata/seq/A377/A377462.seq
5193c9e16afe8faa0b7b893dfc115ef9
A377463
Numbers that are not the sum of distinct powers of 4.
[ "2", "3", "6", "7", "8", "9", "10", "11", "12", "13", "14", "15", "18", "19", "22", "23", "24", "25", "26", "27", "28", "29", "30", "31", "32", "33", "34", "35", "36", "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", "66", "67", "70", "71", "72", "73", "74", "75", "76", "77", "78" ]
[ "nonn", "easy" ]
11
1
1
[ "A000695", "A074940", "A136399", "A377463" ]
null
Chai Wah Wu, Oct 29 2024
2024-10-31T01:14:49
oeisdata/seq/A377/A377463.seq
bd6d21078ad470e635dc53fa3725fa8d
A377464
Number of connected pairs of subsets of [n] with each being a different size.
[ "0", "0", "2", "12", "62", "290", "1292", "5579", "23606", "98490", "406862", "1668689", "6807704", "27663441", "112076057", "453031502", "1828018406", "7366128866", "29650536878", "119249689265", "479277846962", "1925216817095", "7729973578307", "31025341749680", "124486445913728", "499362094315865" ]
[ "nonn", "easy" ]
8
0
3
[ "A001187", "A075930", "A323818", "A326749", "A377464" ]
null
John Tyler Rascoe, Oct 29 2024
2024-11-01T09:36:14
oeisdata/seq/A377/A377464.seq
3a56635cfe0551598caabd3a1a0d8d9e
A377465
Exponents of Mersenne primes that are emirps.
[ "13", "17", "31", "107", "1279", "9941", "3021377", "13466917" ]
[ "nonn", "base", "more" ]
29
1
1
[ "A000043", "A006567", "A377465" ]
null
Rodolfo Ruiz-Huidobro, Oct 29 2024
2025-02-16T08:34:07
oeisdata/seq/A377/A377465.seq
df48d22972cc4c0361ea25560a3551ff
A377466
Numbers k such that there is more than one perfect power x in the range prime(k) < x < prime(k+1).
[ "4", "9", "11", "30", "327", "445", "3512", "7789", "9361", "26519413" ]
[ "nonn", "more" ]
26
1
1
[ "A000015", "A000040", "A000720", "A000961", "A001223", "A001597", "A006093", "A007916", "A008864", "A013597", "A014210", "A014234", "A023055", "A031218", "A045542", "A046933", "A052410", "A053289", "A053607", "A053706", "A057820", "A061398", "A068360", "A069623", "A080101", "A081676", "A116086", "A116455", "A131605", "A188951", "A216765", "A224363", "A244508", "A246655", "A304521", "A308658", "A336416", "A345531", "A361102", "A366833", "A375706", "A375740", "A376559", "A376560", "A376561", "A376562", "A377057", "A377286", "A377287", "A377430", "A377431", "A377432", "A377434", "A377436", "A377466", "A377467", "A377468" ]
null
Gus Wiseman, Nov 02 2024
2024-11-06T04:35:19
oeisdata/seq/A377/A377466.seq
f8ad0922b790e7c56469585a00f8e788
A377467
Number of perfect-powers x in the range 2^n < x < 2^(n+1).
[ "0", "0", "0", "1", "2", "2", "4", "6", "7", "10", "15", "23", "31", "41", "60", "81", "117", "165", "230", "321", "452", "634", "891", "1252", "1766", "2486", "3504", "4935", "6958", "9815", "13849", "19537", "27577", "38932", "54971", "77640", "109667", "154921", "218878", "309276", "437046", "617657", "872967", "1233895", "1744152", "2465546", "3485477" ]
[ "nonn" ]
16
0
5
[ "A000015", "A000040", "A000961", "A001223", "A001597", "A007916", "A013597", "A014210", "A014234", "A023055", "A031218", "A045542", "A052410", "A053289", "A057820", "A065514", "A069623", "A077643", "A081676", "A131605", "A216765", "A244508", "A246655", "A345531", "A375706", "A377432", "A377435", "A377436", "A377467", "A377468", "A377701", "A377702" ]
null
Gus Wiseman, Nov 04 2024
2024-11-06T10:19:47
oeisdata/seq/A377/A377467.seq
833f5e7e7ff7c822d16471f0ffc97f53
A377468
Least perfect-power >= n.
[ "1", "4", "4", "4", "8", "8", "8", "8", "9", "16", "16", "16", "16", "16", "16", "16", "25", "25", "25", "25", "25", "25", "25", "25", "25", "27", "27", "32", "32", "32", "32", "32", "36", "36", "36", "36", "49", "49", "49", "49", "49", "49", "49", "49", "49", "49", "49", "49", "49", "64", "64", "64", "64", "64", "64", "64", "64", "64", "64", "64", "64", "64", "64", "64", "81", "81", "81" ]
[ "nonn" ]
18
1
2
[ "A000015", "A000040", "A000961", "A001223", "A001597", "A007916", "A007918", "A014210", "A014234", "A023055", "A031218", "A045542", "A052410", "A053289", "A057820", "A065514", "A067535", "A069623", "A076411", "A076412", "A081676", "A131605", "A151800", "A188951", "A216765", "A336416", "A345531", "A375706", "A376559", "A376562", "A377432", "A377436", "A377468", "A377702" ]
null
Gus Wiseman, Nov 05 2024
2024-11-06T04:12:03
oeisdata/seq/A377/A377468.seq
47f94e4c3a5b42697f1ae07e8f4141fb
A377469
a(n) = (A003309(n)-1)*a(n-1) (n > 1), a(1) = 1, where A003309 are the ludic numbers.
[ "1", "1", "2", "8", "48", "480", "5760", "92160", "2027520", "48660480", "1362493440", "49049763840", "1961990553600", "82403603251200", "3790565749555200", "197109418976870400", "11826565138612224000", "780553299148406784000", "54638730940388474880000", "4152543551469524090880000", "340508571220500975452160000" ]
[ "nonn" ]
9
1
3
[ "A000040", "A003309", "A005867", "A255127", "A376237", "A377469" ]
null
M. F. Hasler, Nov 13 2024
2024-11-17T07:26:17
oeisdata/seq/A377/A377469.seq
e626705e1f5fe2b8b19bb33380eb4f42
A377470
For any prime p, sequence gives the least prime q such that decimal part of 1/q starts with p, leading zeros excluded.
[ "5", "3", "2", "13", "89", "73", "557", "503", "43", "337", "313", "269", "239", "23", "211", "1861", "167", "163", "149", "139", "1361", "1259", "1193", "1117", "103", "983", "97", "929", "911", "881", "787", "761", "727", "719", "67", "659", "6337", "61", "5953", "577", "557", "5501", "521", "5167", "5051", "5003", "4721", "4481", "439", "4349", "4283", "4177" ]
[ "nonn", "easy", "base" ]
11
1
1
[ "A099406", "A377470" ]
null
Paolo P. Lava, Jan 08 2025
2025-01-15T08:33:45
oeisdata/seq/A377/A377470.seq
f8e1e7357aea215349f50670ae2ddad8
A377471
Smallest prime such that the number of distinct prime factors of its 9's complement is equal to n. If no such number exists return -1.
[ "2", "3", "29", "229", "10273", "1000099", "1061069", "101872769", "1569793669", "20207116829", "1069666778189", "102533896856389", "10003581910211789", "1000003754654504609", "100003356331318330889" ]
[ "nonn", "base", "more" ]
41
1
1
[ "A000040", "A001221", "A061601", "A377471", "A378139" ]
null
Jean-Marc Rebert, Jan 08 2025
2025-01-29T13:13:24
oeisdata/seq/A377/A377471.seq
33937effcbebb655428aefe6bb969a7a
A377472
First differences of Colombian or self numbers A003052.
[ "2", "2", "2", "2", "11", "11", "11", "11", "11", "11", "11", "11", "11", "2", "11", "11", "11", "11", "11", "11", "11", "11", "11", "2", "11", "11", "11", "11", "11", "11", "11", "11", "11", "2", "11", "11", "11", "11", "11", "11", "11", "11", "11", "2", "11", "11", "11", "11", "11", "11", "11", "11", "11", "2", "11", "11", "11", "11", "11", "11", "11", "11", "11", "2", "11", "11", "11", "11", "11", "11", "11", "11", "11", "2", "11", "11", "11", "11", "11", "11", "11", "11", "11", "2", "11", "11", "11", "11", "11", "11", "11", "11", "11", "2", "11", "11", "11", "11", "11", "11", "11", "11", "15", "11" ]
[ "nonn" ]
18
1
1
[ "A003052", "A163128", "A163139", "A377472", "A377473", "A377474" ]
null
M. F. Hasler, Oct 29 2024
2025-05-02T01:30:27
oeisdata/seq/A377/A377472.seq
90615d9f980ef128ade9f227a181a655
A377473
Distinct first differences of Colombian or self numbers (A377472), listed in the order they appear.
[ "2", "11", "15", "28", "41", "54", "67", "80", "93", "106", "119", "101", "118", "131", "144", "157", "170", "183", "196", "209", "24", "90", "204", "221", "234", "247", "260", "273", "286", "299", "35", "79", "294", "307", "324", "337", "350", "363", "376", "389", "46", "68", "384", "397", "410", "427", "440", "453", "466", "479", "57", "474", "487", "500" ]
[ "nonn", "base" ]
20
1
1
[ "A003052", "A163139", "A377423", "A377472", "A377473" ]
null
M. F. Hasler, Oct 30 2024
2025-05-02T01:34:33
oeisdata/seq/A377/A377473.seq
c10f2934781b1da9890538609433da06
A377474
Indices where new terms arise among first differences of Colombian or self numbers (A377472).
[ "1", "5", "103", "984", "9785", "97786", "977787", "9777788", "97777789" ]
[ "nonn", "more" ]
16
1
2
[ "A003052", "A377423", "A377472", "A377473", "A377474" ]
null
M. F. Hasler, Oct 30 2024
2025-05-01T16:47:47
oeisdata/seq/A377/A377474.seq
ef54cb93efc5c344ef6d60d9f7cc363d
A377475
a(n) is the Even-Rodeh encoding of n as an integer.
[ "0", "1", "2", "3", "8", "10", "12", "14", "144", "146", "148", "150", "152", "154", "156", "158", "352", "354", "356", "358", "360", "362", "364", "366", "368", "370", "372", "374", "376", "378", "380", "382", "832", "834", "836", "838", "840", "842", "844", "846", "848", "850", "852", "854", "856", "858", "860", "862", "864", "866", "868", "870", "872", "874", "876", "878", "880", "882", "884", "886", "888", "890", "892" ]
[ "nonn", "base", "easy" ]
52
0
3
[ "A070939", "A377475" ]
null
Darío Clavijo, Jan 08 2025
2025-01-13T19:20:11
oeisdata/seq/A377/A377475.seq
79f765fa167a9311c436905468e71a19
A377476
Primes p such that 1..12 are quadratic residues modulo p.
[ "479", "1151", "1319", "1559", "2351", "2689", "2999", "3529", "3671", "3911", "4751", "4919", "5519", "5569", "5711", "6551", "6599", "7559", "7561", "7681", "8089", "8761", "8951", "9239", "9241", "9601", "9719", "9769", "10391", "10559", "10799", "12049", "12239", "12721", "12911", "13151", "13729", "14159", "14281", "14759", "14951", "15671", "15791", "16631", "16921" ]
[ "nonn" ]
77
1
1
null
null
Steven Lu, Feb 16 2025
2025-03-12T07:41:13
oeisdata/seq/A377/A377476.seq
450d48a6a19054bd0b53f5f8fd766ab4
A377477
Consider the nonadjacent form for n, then reverse the digits, leaving any trailing zeros alone, and take the absolute value.
[ "0", "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "19", "12", "13", "14", "15", "16", "17", "18", "11", "20", "21", "38", "35", "24", "29", "26", "39", "28", "25", "30", "31", "32", "33", "34", "23", "36", "41", "22", "27", "40", "37", "42", "83", "76", "45", "70", "67", "48", "61", "58", "51", "52", "77", "78", "71", "56", "57", "50", "79", "60", "49", "62", "63", "64", "65", "66", "47" ]
[ "nonn", "base" ]
14
0
3
[ "A057889", "A160652", "A184617", "A345201", "A377477", "A379015" ]
null
Rémy Sigrist, Dec 28 2024
2024-12-30T16:07:55
oeisdata/seq/A377/A377477.seq
fddd5f0892ed6c5e5a0538e7934d772e
A377478
a(n) = first frugal number > 1 in base n.
[ "27", "32", "27", "27", "81", "64", "64", "81", "125", "125", "243", "243", "243", "243", "256", "343", "343", "512", "512", "512", "512", "625", "625", "625", "729", "729", "1024", "1024", "1024", "1024", "1024", "1331", "1331", "1331", "1331", "2048", "2048", "2048", "2048", "2048", "2048", "2048", "2048", "2048", "2187", "2401", "2401", "2401", "3125", "3125" ]
[ "nonn", "base" ]
11
2
1
[ "A046759", "A377478", "A379537", "A379538" ]
null
Paolo Xausa, Dec 28 2024
2025-01-01T14:43:27
oeisdata/seq/A377/A377478.seq
dd9c7ea71a828b0bc819113769d7bfa4
A377479
Decimal expansion of the smallest positive real root of the equation cos(x) + x*sin(x) = 0.
[ "2", "7", "9", "8", "3", "8", "6", "0", "4", "5", "7", "8", "3", "8", "8", "7", "1", "3", "6", "7", "2", "0", "2", "4", "8", "9", "0", "3", "1", "3", "9", "5", "7", "0", "6", "7", "0", "6", "3", "4", "6", "0", "8", "7", "9", "0", "7", "5", "4", "1", "0", "1", "0", "4", "3", "5", "9", "6", "4", "2", "1", "7", "1", "0", "5", "5", "6", "2", "4", "9", "5", "0", "8", "2", "7", "8", "5", "3", "5", "3", "2", "2", "6", "2", "5", "5", "0", "6", "5", "6", "8", "5", "3", "8", "4", "2", "6", "8", "7", "9" ]
[ "nonn", "cons" ]
11
1
1
[ "A003957", "A115365", "A197002", "A377479", "A377480", "A377481" ]
null
Stefano Spezia, Oct 29 2024
2025-01-23T22:10:50
oeisdata/seq/A377/A377479.seq
fa39b1b1f81a4aef395bf25f5a22c404
A377480
Decimal expansion of abs(cos(A377479)).
[ "9", "4", "1", "6", "8", "0", "4", "5", "8", "1", "9", "3", "2", "6", "3", "9", "0", "7", "2", "7", "3", "2", "3", "9", "5", "1", "1", "9", "3", "8", "1", "4", "2", "6", "6", "9", "2", "0", "4", "9", "5", "4", "5", "6", "0", "6", "2", "5", "0", "1", "2", "5", "4", "7", "7", "1", "7", "7", "5", "1", "5", "4", "8", "8", "2", "7", "7", "6", "5", "8", "3", "8", "9", "1", "5", "3", "1", "5", "4", "4", "2", "4", "5", "5", "8", "7", "6", "7", "8", "4", "3", "1", "0", "8", "1", "4", "1", "8", "3", "4" ]
[ "nonn", "cons" ]
5
0
1
[ "A377479", "A377480", "A377481" ]
null
Stefano Spezia, Oct 29 2024
2024-10-31T01:37:50
oeisdata/seq/A377/A377480.seq
7694912ef4fea735223e0dc314b3a00a
A377481
Decimal expansion of sin(A377479).
[ "3", "3", "6", "5", "0", "8", "4", "1", "6", "9", "1", "8", "3", "9", "5", "2", "9", "1", "6", "1", "6", "3", "1", "9", "8", "1", "4", "4", "0", "7", "3", "1", "9", "6", "8", "9", "2", "6", "7", "0", "4", "6", "3", "4", "9", "5", "7", "9", "0", "2", "2", "1", "4", "3", "6", "8", "6", "9", "4", "4", "1", "2", "3", "2", "0", "0", "6", "7", "6", "3", "7", "9", "9", "1", "4", "2", "7", "1", "4", "5", "0", "1", "9", "0", "4", "5", "9", "1", "0", "6", "7", "2", "1", "1", "5", "2", "4", "6", "9", "7" ]
[ "nonn", "cons" ]
4
0
1
[ "A377479", "A377480", "A377481" ]
null
Stefano Spezia, Oct 29 2024
2024-10-31T01:38:09
oeisdata/seq/A377/A377481.seq
a4a090980403224005f4eaee06a15ddf
A377482
Iterated integer log of n: denote A001414(n) by b(n). a(n) = n if b(n) = n. Otherwise, a(n) = b(n) + b(b(n)) + ... + b^k(n), where k is the smallest integer such that b^k(n) is prime.
[ "1", "2", "3", "4", "5", "5", "7", "11", "11", "7", "11", "7", "13", "20", "19", "19", "17", "19", "19", "20", "17", "13", "23", "20", "17", "34", "20", "11", "29", "17", "31", "17", "34", "19", "19", "17", "37", "38", "35", "11", "41", "19", "43", "34", "11", "42", "47", "11", "34", "19", "40", "17", "53", "11", "35", "13", "35", "31", "59", "19", "61", "67", "13", "19", "37", "35", "67" ]
[ "nonn", "easy", "look" ]
6
1
2
[ "A001414", "A274718", "A377482" ]
null
Louis-Simon Cyr, Oct 29 2024
2024-11-19T02:25:37
oeisdata/seq/A377/A377482.seq
bda5cf3c41021c1d2ccc9a31256070d0
A377483
Smallest index k such that prime(k) in base-2 contains n in base-2 as a contiguous substring.
[ "1", "1", "2", "7", "3", "6", "4", "7", "8", "13", "5", "24", "6", "10", "11", "19", "7", "12", "8", "13", "14", "24", "9", "25", "24", "16", "17", "30", "10", "18", "11", "32", "19", "33", "20", "21", "12", "63", "22", "38", "13", "68", "14", "24", "29", "70", "15", "25", "30", "26", "27", "47", "16", "29", "48", "30", "50", "51", "17", "53", "18", "54", "31", "55", "32", "77", "19", "33", "34", "60", "20", "79" ]
[ "nonn", "base" ]
26
1
3
[ "A000040", "A004676", "A062584", "A082058", "A377483" ]
null
Charles Marsden, Oct 29 2024
2024-11-20T20:45:09
oeisdata/seq/A377/A377483.seq
a16b0bf7126d81cf72a566879733146a
A377484
a(n) = Product_{d|n, d>1} (d - 1).
[ "1", "1", "2", "3", "4", "10", "6", "21", "16", "36", "10", "330", "12", "78", "112", "315", "16", "1360", "18", "2052", "240", "210", "22", "53130", "96", "300", "416", "6318", "28", "146160", "30", "9765", "640", "528", "816", "1570800", "36", "666", "912", "560196", "40", "639600", "42", "27090", "39424", "990", "46", "37456650", "288", "42336", "1600", "45900", "52", "1874080", "2160" ]
[ "nonn", "easy" ]
27
1
3
[ "A000079", "A005329", "A007955", "A020696", "A027871", "A027872", "A027875", "A027879", "A175787", "A377484" ]
null
Ridouane Oudra, Oct 29 2024
2024-11-02T09:14:21
oeisdata/seq/A377/A377484.seq
6b50416399f7af6af712df0bd4daff5c
A377485
Irregular triangle where row n lists powers p^k of primes p | n such that p^k <= n and k > 0.
[ "1", "2", "3", "2", "4", "5", "2", "3", "4", "7", "2", "4", "8", "3", "9", "2", "4", "5", "8", "11", "2", "3", "4", "8", "9", "13", "2", "4", "7", "8", "3", "5", "9", "2", "4", "8", "16", "17", "2", "3", "4", "8", "9", "16", "19", "2", "4", "5", "8", "16", "3", "7", "9", "2", "4", "8", "11", "16", "23", "2", "3", "4", "8", "9", "16", "5", "25", "2", "4", "8", "13", "16", "3", "9", "27", "2", "4", "7", "8", "16", "29" ]
[ "nonn", "easy", "tabf" ]
7
1
2
[ "A162306", "A246655", "A377485" ]
null
Michael De Vlieger, Oct 29 2024
2024-11-01T11:12:07
oeisdata/seq/A377/A377485.seq
38ec44d6b283eec42e0769ba5989c542
A377486
a(n) = product of {p^k : p | n, k = 1..floor(log n/log p)}, a(1) = 1.
[ "1", "2", "3", "8", "5", "24", "7", "64", "27", "320", "11", "1728", "13", "448", "135", "1024", "17", "27648", "19", "5120", "189", "11264", "23", "27648", "125", "13312", "729", "7168", "29", "93312000", "31", "32768", "8019", "557056", "875", "23887872", "37", "622592", "9477", "4096000", "41", "167215104", "43", "360448", "91125", "753664", "47", "23887872" ]
[ "nonn", "easy" ]
6
1
2
[ "A064446", "A162306", "A246655", "A377485", "A377486" ]
null
Michael De Vlieger, Oct 29 2024
2024-11-01T11:11:57
oeisdata/seq/A377/A377486.seq
3a8b5ed46d2fba1774edcc5ba2c3f330
A377487
a(n) = largest power p^k <= n for prime p among prime factors of n.
[ "1", "2", "3", "4", "5", "4", "7", "8", "9", "8", "11", "9", "13", "8", "9", "16", "17", "16", "19", "16", "9", "16", "23", "16", "25", "16", "27", "16", "29", "27", "31", "32", "27", "32", "25", "32", "37", "32", "27", "32", "41", "32", "43", "32", "27", "32", "47", "32", "49", "32", "27", "32", "53", "32", "25", "49", "27", "32", "59", "32", "61", "32", "49", "64", "25", "64", "67", "64", "27" ]
[ "nonn", "easy" ]
9
1
2
[ "A162306", "A246655", "A377487" ]
null
Michael De Vlieger, Oct 29 2024
2024-11-01T21:08:47
oeisdata/seq/A377/A377487.seq
5bf8c3908485a86e4a7c4e04eeafdaa5
A377488
Irregular triangle r ead by rows where row n lists powers p^k for primes p | n such that k = floor(log n/log p).
[ "1", "2", "3", "4", "5", "3", "4", "7", "8", "9", "5", "8", "11", "8", "9", "13", "7", "8", "5", "9", "16", "17", "9", "16", "19", "5", "16", "7", "9", "11", "16", "23", "9", "16", "25", "13", "16", "27", "7", "16", "29", "16", "25", "27", "31", "32", "11", "27", "17", "32", "7", "25", "27", "32", "37", "19", "32", "13", "27", "25", "32", "41", "7", "27", "32", "43", "11", "32", "25", "27", "23", "32" ]
[ "nonn", "tabf", "easy" ]
8
1
2
[ "A001221", "A064446", "A339378", "A377485", "A377488" ]
null
Michael De Vlieger, Nov 01 2024
2024-11-01T23:52:24
oeisdata/seq/A377/A377488.seq
6a8365f4bf35a1a32e6546a1f2c5f231
A377489
E.g.f. satisfies A(x) = 1/(1 - A(x)^2 * (exp(x) - 1))^2.
[ "1", "2", "24", "548", "18996", "889532", "52623924", "3767367788", "316781141316", "30608709436412", "3342279339791124", "407043376061484428", "54704971792071412836", "8042679084840031176092", "1284038419974274852278324", "221234151594672691543079468", "40916180234895561309469607556" ]
[ "nonn" ]
5
0
2
[ "A377451", "A377454", "A377489" ]
null
Seiichi Manyama, Oct 29 2024
2024-10-30T08:04:24
oeisdata/seq/A377/A377489.seq
84ef760a34751688e610b8d687fc7f1d
A377490
E.g.f. satisfies A(x) = 1/(1 - A(x) * (exp(x*A(x)) - 1))^2.
[ "1", "2", "24", "560", "19844", "949632", "57398980", "4197775472", "360541351092", "35581415127200", "3968076446262116", "493536896206210320", "67738259336620421140", "10170114513821104697792", "1658107523049271429191492", "291735781263854493014688944", "55097256018925972909190946932" ]
[ "nonn" ]
8
0
2
[ "A367162", "A377490", "A377491", "A377495" ]
null
Seiichi Manyama, Oct 29 2024
2024-10-30T08:04:28
oeisdata/seq/A377/A377490.seq
ad4b354091453350193ba9cf0c51b03b
A377491
E.g.f. satisfies A(x) = 1/(1 - A(x) * (exp(x*A(x)) - 1))^3.
[ "1", "3", "51", "1692", "85245", "5799348", "498288327", "51799641372", "6323803975545", "887056541576820", "140606281908386763", "24856199282033820396", "4848804928048309664181", "1034685331580238018659748", "239758404709207383049312239", "59955226332194712661373725884" ]
[ "nonn" ]
9
0
2
[ "A367162", "A377490", "A377491", "A377498" ]
null
Seiichi Manyama, Oct 29 2024
2024-10-30T08:04:31
oeisdata/seq/A377/A377491.seq
ceb21b6727dd404a1b20e082811a20ca
A377492
E.g.f. satisfies A(x) = 1/(1 + A(x) * log(1 - x*A(x)))^2.
[ "1", "2", "24", "562", "19974", "958468", "58085192", "4258862844", "366713780800", "36281317505040", "4056212559155664", "505750435243636944", "69586186789180895904", "10473322720889293098624", "1711744141030969885684320", "301912919501972279345773920", "57159241548809543158165770240" ]
[ "nonn" ]
8
0
2
[ "A367159", "A377411", "A377492", "A377493", "A377494" ]
null
Seiichi Manyama, Oct 29 2024
2024-10-30T08:04:35
oeisdata/seq/A377/A377492.seq
bea5dedd705d30f270c1804ceb6ba724
A377493
E.g.f. satisfies A(x) = 1/(1 + A(x) * log(1 - x*A(x)))^3.
[ "1", "3", "51", "1695", "85524", "5826402", "501281256", "52178851302", "6378309961152", "895845418408992", "142179729906910680", "25166131508370202776", "4915451890368514588032", "1050225776987234559170976", "243664809398578134394019712", "61008419406811276254021582384" ]
[ "nonn" ]
9
0
2
[ "A367159", "A377492", "A377493", "A377497" ]
null
Seiichi Manyama, Oct 29 2024
2024-10-30T08:04:39
oeisdata/seq/A377/A377493.seq
3ffddd33077931d13b607a80c40481a1
A377494
E.g.f. satisfies A(x) = 1/(1 + A(x)^2 * log(1 - x*A(x)^2)).
[ "1", "1", "11", "248", "8632", "408794", "24550512", "1788220664", "153204336480", "15097630639464", "1682516996213376", "209233809698022240", "28725012833286981456", "4315256340778010888688", "704140465438516958644512", "124020015235118786512297728", "23450965881108082875087150336", "4738390708952218941582313234176" ]
[ "nonn" ]
8
0
3
[ "A007840", "A367159", "A377492", "A377494", "A377497" ]
null
Seiichi Manyama, Oct 29 2024
2024-10-30T08:04:43
oeisdata/seq/A377/A377494.seq
c23c5783907a34d00c3e0641e20bad01
A377495
E.g.f. satisfies A(x) = 1/(1 - A(x)^2 * (exp(x*A(x)^2) - 1)).
[ "1", "1", "11", "247", "8571", "404791", "24246439", "1761559647", "150540054611", "14798051914231", "1645040516034927", "204068062926942655", "27946847973073178587", "4188043229601371413911", "681707014005609312133175", "119774859918869807700934111", "22592863584958717501615734051", "4553853548371236985017395321335" ]
[ "nonn" ]
8
0
3
[ "A000670", "A367162", "A377490", "A377495", "A377498" ]
null
Seiichi Manyama, Oct 29 2024
2024-10-30T08:04:50
oeisdata/seq/A377/A377495.seq
4ace3cce403e387fb84b26fcc8e0fad2
A377496
Smallest prime p such that x^n - x - 1 splits modulo p.
[ "5", "23", "83", "1973", "1151", "20959", "40609", "1627853", "57323489", "1616436271", "6814548563", "217642750067" ]
[ "nonn", "hard", "more" ]
11
2
1
[ "A376950", "A377496" ]
null
Ben Whitmore, Oct 30 2024
2024-11-03T09:31:45
oeisdata/seq/A377/A377496.seq
0f6c0e7b26cf0477418ca7a0fa43577e
A377497
E.g.f. satisfies A(x) = 1/(1 + A(x)^3 * log(1 - x*A(x)^3)).
[ "1", "1", "15", "473", "23194", "1552084", "131908394", "13608546720", "1652258848656", "230829590868312", "36477894965606568", "6433858542834018240", "1252941162992516179776", "267027040073238416997024", "61819211233387513530840048", "15449035083850090935613775808", "4145148327496835979697002921216" ]
[ "nonn" ]
6
0
3
[ "A007840", "A367159", "A377494", "A377497" ]
null
Seiichi Manyama, Oct 30 2024
2024-10-30T08:04:47
oeisdata/seq/A377/A377497.seq
c6831799ff22b885c207d0457a61229f
A377498
E.g.f. satisfies A(x) = 1/(1 - A(x)^3 * (exp(x*A(x)^3) - 1)).
[ "1", "1", "15", "472", "23109", "1544236", "131066427", "13504084084", "1637471184585", "228472604080636", "36059751069011079", "6352095608437311844", "1235464848177560948685", "262972526121658780180300", "60804392657638382942192691", "15176441397584819546121452692", "4066926719970372629975938096017" ]
[ "nonn" ]
6
0
3
[ "A000670", "A367162", "A377495", "A377498" ]
null
Seiichi Manyama, Oct 30 2024
2024-10-30T08:04:54
oeisdata/seq/A377/A377498.seq
2c5d2e4a15350e707cad7d29ca4bbf43
A377499
a(n) is the median of the divisors of 2n-1.
[ "1", "2", "3", "4", "3", "6", "7", "4", "9", "10", "5", "12", "5", "6", "15", "16", "7", "6", "19", "8", "21", "22", "7", "24", "7", "10", "27", "8", "11", "30", "31", "8", "9", "34", "13", "36", "37", "10", "9", "40", "9", "42", "11", "16", "45", "10", "17", "12", "49", "10", "51", "52", "11", "54", "55", "20", "57", "14", "11", "12", "11", "22", "15", "64", "23", "66", "13", "12", "69", "70", "25", "12", "17", "14", "75", "76" ]
[ "nonn" ]
112
1
2
[ "A001844", "A006254", "A033676", "A033677", "A063655", "A219695", "A361565", "A377499", "A377864", "A377865" ]
null
Charles Kusniec, Oct 30 2024
2025-04-27T14:47:17
oeisdata/seq/A377/A377499.seq
6d35859f54dbdf3470f3239c2a9508b6
A377500
Number of edge cuts in the n-dipyramidal graph.
[ "1", "6", "32", "198", "1440", "11606", "98288", "847622", "7330624", "63161910", "540889232", "4601341542", "38896557792", "326918917526", "2733694633520", "22756578640838", "188690303469184", "1559143587993846", "12843876796018640", "105519766294576422", "864831673532666400", "7072996102954328150" ]
[ "nonn", "easy" ]
18
0
2
[ "A296995", "A377500" ]
null
Eric W. Weisstein, Oct 30 2024
2024-12-01T15:36:21
oeisdata/seq/A377/A377500.seq
1ac059edd8a81f476ed31daa0f1f242d
A377501
a(n) = 2 + 4^(n - 1) - (2 - sqrt(2))^(n - 1) - (2 + sqrt(2))^(n - 1).
[ "1", "2", "6", "26", "122", "562", "2514", "10978", "47074", "199106", "833346", "3459458", "14268290", "58542850", "239189250", "973889026", "3954048514", "16015899650", "64745436162", "261309683714", "1053186816002", "4239883710466", "17052184465410", "68525063462914", "275180257009666", "1104408389468162" ]
[ "nonn", "easy" ]
14
1
2
[ "A158525", "A377501" ]
null
Eric W. Weisstein, Oct 30 2024
2024-12-15T09:06:28
oeisdata/seq/A377/A377501.seq
4b09e60e45c42b2f5d9059cd780c4554
A377502
Number of minimum distinguishing labelings in the cycle graph C_n.
[ "6", "24", "120", "12", "28", "96", "252", "600", "1364", "3048", "6552", "13804", "29040", "59520", "122400", "248472", "504868", "1017840", "2054388", "4126100", "8294444", "16628160", "33349800", "66784536", "133775712", "267736392", "535920696", "1072242540", "2145452092", "4291768320", "8585609340", "17173070880", "34350563940" ]
[ "nonn" ]
9
3
1
[ "A032239", "A377502" ]
null
Eric W. Weisstein, Oct 30 2024
2025-05-27T14:54:08
oeisdata/seq/A377/A377502.seq
52f23845f6e54ae860d44473feabb4a0
A377503
E.g.f. satisfies A(x) = 1/(1 - x * exp(x) * A(x))^2.
[ "1", "2", "18", "270", "5936", "173330", "6335772", "278724362", "14350790064", "847007698338", "56397332340020", "4182866692785242", "342022887565717800", "30570009715185100082", "2965368922693150575084", "310276298423966343555690", "34834957115496822249510752", "4177193847524372747798263106" ]
[ "nonn" ]
12
0
2
[ "A006013", "A295238", "A364983", "A377503", "A377504", "A377528" ]
null
Seiichi Manyama, Oct 30 2024
2024-10-31T06:47:53
oeisdata/seq/A377/A377503.seq
9c923b495a22701cdcd5296936c4983e