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A362001
Numbers k such that the digits of k^2 are a subsequence of the digits of 2^k.
[ "2", "4", "26", "52", "58", "64", "73", "76", "86", "87", "89", "95", "96", "98", "100", "101", "104", "106", "110", "111", "112", "113", "121", "122", "126", "129", "133", "134", "135", "136", "138", "139", "140", "141", "144", "146", "148", "152", "156", "157", "161", "162", "163", "164", "165", "167", "169", "170", "171", "172", "173", "175", "176", "177", "178", "180", "182", "183", "184", "186", "187", "189", "190" ]
[ "nonn", "base" ]
15
1
1
[ "A046829", "A362001" ]
null
Robert Israel, Apr 02 2023
2023-04-04T07:42:57
oeisdata/seq/A362/A362001.seq
25bc65239eaf9e1cc25f5841ca066ba7
A362002
Numbers k such that the digits of k^2 are a subsequence of the digits of k^3.
[ "0", "1", "5", "10", "25", "50", "100", "250", "500", "1000", "2500", "5000", "10000", "10005", "10625", "25000", "50000", "100000", "100005", "100050", "106250", "250000", "500000", "1000000", "1000005", "1000050", "1000500", "1062500", "2500000", "5000000", "10000000", "10000005", "10000025", "10000050", "10000500", "10005000" ]
[ "nonn", "base" ]
28
1
3
[ "A046829", "A362001", "A362002" ]
null
Robert Israel, Apr 02 2023
2023-04-23T23:32:17
oeisdata/seq/A362/A362002.seq
eb07ded4c9ecf3ebe236f66528fc1c08
A362003
Squarefree composite numbers m such that k - m^2 < m, where k is the smallest number greater than m^2 such that rad(k) | m.
[ "42", "66", "78", "362", "1086", "1122", "1254", "1794", "1810", "1846", "1974", "2534", "2730", "3318", "3982", "4890", "5538", "5590", "6006", "6214", "9230", "12922", "12990", "13515", "15510", "16205", "17430", "18642", "20306", "22170", "23170", "25098", "26962", "27030", "29274", "31070", "32142", "32410" ]
[ "nonn" ]
30
1
1
[ "A007947", "A120944", "A362003", "A362045" ]
null
Michael De Vlieger, Apr 05 2023
2023-04-23T22:43:52
oeisdata/seq/A362/A362003.seq
052b205158d1406a6089f4c5f499a94f
A362004
Initial digit of the decimal expansion of the tetration 2^^n (in Don Knuth's up-arrow notation).
[ "1", "2", "4", "1", "6", "2", "2" ]
[ "base", "hard", "more", "nonn" ]
15
0
2
[ "A241291", "A241299", "A244059", "A362004" ]
null
Marco Ripà, Apr 02 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362004.seq
1d0d9319f5dc3b3578efde197c22e5b6
A362005
a(n) is the least prime == 4 mod a(n-1), with a(1) = 3.
[ "3", "7", "11", "37", "41", "127", "131", "397", "401", "3613", "3617", "18089", "488407", "9279737", "102077111", "2347773557", "377991542681", "35153213469337", "878830336733429", "4394151683667149", "276831556071030391", "6920788901775759779", "34603944508878798899", "173019722544393994499", "8131926959586517741457", "707477645484027043506763" ]
[ "nonn" ]
6
1
1
null
null
Robert Israel, Apr 03 2023
2023-04-03T10:57:07
oeisdata/seq/A362/A362005.seq
cd27fe6593efb8c824619f24822a41b5
A362006
a(n) is the minimum integer m such that floor(e^n) = floor(Sum_{k=0..m} (n^k)/(k!)).
[ "0", "1", "4", "8", "9", "12", "15", "17", "19", "24", "25", "29", "30", "34", "37", "39", "41", "44", "48", "49", "52", "55", "59", "61", "62", "66", "68", "70", "74", "79", "79", "82", "84", "89", "89", "92", "96", "98", "102", "103", "106", "110", "112", "114", "116", "122", "124", "126", "128", "132", "133", "137", "138", "141", "144", "147", "151", "152", "154", "158", "161" ]
[ "nonn" ]
17
0
3
[ "A000149", "A362006" ]
null
Luca Onnis, Apr 03 2023
2023-04-22T21:48:04
oeisdata/seq/A362/A362006.seq
df3affdefa7bc7bf917ccf21751ad5a2
A362007
Fourth Lie-Betti number of a path graph on n vertices.
[ "0", "0", "3", "16", "48", "107", "203", "347", "551", "828", "1192", "1658", "2242", "2961", "3833", "4877", "6113", "7562", "9246", "11188", "13412", "15943", "18807", "22031", "25643", "29672", "34148", "39102", "44566", "50573", "57157", "64353", "72197", "80726", "89978", "99992", "110808" ]
[ "nonn", "easy" ]
54
1
3
[ "A000027", "A000217", "A000332", "A001105", "A006002", "A011379", "A056106", "A088459", "A360571", "A361230", "A362007" ]
null
Samuel J. Bevins, Apr 05 2023
2025-03-02T10:03:15
oeisdata/seq/A362/A362007.seq
bae9b3719ac6dc07bd820f2510cf2f66
A362008
Numbers whose Euler's cototient is divisible by 9.
[ "21", "27", "34", "54", "63", "68", "78", "81", "106", "108", "115", "117", "126", "129", "135", "136", "142", "147", "156", "162", "171", "178", "183", "186", "187", "189", "195", "205", "210", "212", "214", "216", "234", "237", "243", "252", "270", "272", "279", "284", "291", "295", "297", "312", "315", "324", "333", "342", "351", "356", "358", "372", "378" ]
[ "nonn", "easy" ]
13
1
1
[ "A000010", "A010888", "A051953", "A362008" ]
null
Darío Clavijo, Apr 03 2023
2024-01-22T22:02:07
oeisdata/seq/A362/A362008.seq
c9684b7ae135107f063a92615ca30094
A362009
a(n) is the index of the first binary string which does not appear in the concatenation of the binary strings indexed by the preceding terms a(1..n-1).
[ "1", "2", "3", "6", "7", "12", "14", "15", "25", "28", "31", "34", "35", "38", "45", "62", "67", "72", "76", "78", "80", "83", "90", "91", "100", "107", "114", "116", "126", "129", "142", "144", "147", "155", "158", "168", "171", "173", "175", "180", "185", "198", "205", "226", "228", "250", "257", "260", "262", "266", "272", "274", "279", "290", "294", "296", "310", "313" ]
[ "nonn", "base" ]
37
1
2
[ "A118247", "A362009", "A362240", "A362241" ]
null
L. L. Salcedo, Apr 03 2023
2023-04-30T20:54:05
oeisdata/seq/A362/A362009.seq
c31a6714e5a1182581af23541a19725a
A362010
Numbers k such that 1 < gcd(k, 42) < k and A007947(k) does not divide 42.
[ "10", "15", "20", "22", "26", "30", "33", "34", "35", "38", "39", "40", "44", "45", "46", "50", "51", "52", "57", "58", "60", "62", "66", "68", "69", "70", "74", "75", "76", "77", "78", "80", "82", "86", "87", "88", "90", "91", "92", "93", "94", "99", "100", "102", "104", "105", "106", "110", "111", "114", "116", "117", "118", "119", "120", "122", "123", "124", "129", "130", "132", "133", "134", "135", "136", "138", "140", "141", "142" ]
[ "nonn" ]
14
1
1
[ "A007947", "A108319", "A206547", "A362010" ]
null
Michael De Vlieger, Apr 04 2023
2023-12-02T09:12:08
oeisdata/seq/A362/A362010.seq
cf4d5b7819900f3dd53e68a71f0b05af
A362011
Numbers k such that 1 < gcd(k, 70) < k and A007947(k) does not divide 70.
[ "6", "12", "15", "18", "21", "22", "24", "26", "30", "34", "36", "38", "42", "44", "45", "46", "48", "52", "54", "55", "58", "60", "62", "63", "65", "66", "68", "72", "74", "75", "76", "77", "78", "82", "84", "85", "86", "88", "90", "91", "92", "94", "95", "96", "102", "104", "105", "106", "108", "110", "114", "115", "116", "118", "119", "120", "122", "124", "126", "130", "132", "133", "134", "135", "136", "138", "142", "144", "145", "146" ]
[ "nonn" ]
13
1
1
[ "A007947", "A108513", "A235583", "A362011" ]
null
Michael De Vlieger, Apr 04 2023
2023-12-02T09:13:45
oeisdata/seq/A362/A362011.seq
3a29a2d4a4ae3f14d9f17cf35b587a7f
A362012
Numbers k such that 1 < gcd(k, 105) < k and A007947(k) does not divide 105.
[ "6", "10", "12", "14", "18", "20", "24", "28", "30", "33", "36", "39", "40", "42", "48", "50", "51", "54", "55", "56", "57", "60", "65", "66", "69", "70", "72", "77", "78", "80", "84", "85", "87", "90", "91", "93", "95", "96", "98", "99", "100", "102", "108", "110", "111", "112", "114", "115", "117", "119", "120", "123", "126", "129", "130", "132", "133", "138", "140", "141", "144", "145", "150", "153", "154", "155", "156", "159", "160" ]
[ "nonn" ]
13
1
1
[ "A007947", "A108347", "A236206", "A362012" ]
null
Michael De Vlieger, Apr 04 2023
2023-12-02T09:13:11
oeisdata/seq/A362/A362012.seq
1b227235fed6ec6e5a23d67384b11f88
A362013
Triangular array read by rows. T(n,k) is the number of labeled directed graphs on [n] with exactly k strongly connected components of size 1 with outdegree zero, n>=0, 0<=k<=n.
[ "1", "0", "1", "1", "2", "1", "27", "27", "9", "1", "2401", "1372", "294", "28", "1", "759375", "253125", "33750", "2250", "75", "1", "887503681", "171774906", "13852815", "595820", "14415", "186", "1", "3938980639167", "437664515463", "20841167403", "551353635", "8751645", "83349", "441", "1", "67675234241018881", "4263006881324024", "117484441611292", "1850148686792", "18210124870", "114709448", "451612", "1016", "1" ]
[ "nonn", "tabl" ]
12
0
5
[ "A003028", "A053763", "A086206", "A350792", "A361592", "A362013" ]
null
Geoffrey Critzer, Apr 03 2023
2023-04-05T06:37:41
oeisdata/seq/A362/A362013.seq
4c853c82f3b8be69db55f92f96a6c8af
A362014
Number of distinct lines passing through exactly two points in a triangular grid of side n.
[ "0", "0", "3", "6", "18", "39", "81", "141", "237", "369", "561", "801", "1119", "1521", "2043", "2667", "3429", "4329", "5415", "6675", "8163", "9879", "11877", "14127", "16695", "19593", "22881", "26523", "30591", "35085", "40089", "45591", "51681", "58359", "65715", "73701", "82389", "91791", "102015", "113007", "124875" ]
[ "nonn" ]
18
0
3
[ "A050534", "A234248", "A244504", "A362014" ]
null
Caleb Stanford, Apr 03 2023
2025-01-24T08:48:09
oeisdata/seq/A362/A362014.seq
d4ab91d4425cd4011e8472fbdc105be0
A362015
a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest positive number that has not yet appeared that, given the list of primes that form the factors of all previous terms a(1)..a(n-1), is a multiple of the prime in that list which is a factor of the fewest previous terms. If two or more such primes exist the smallest is chosen.
[ "1", "2", "4", "6", "3", "9", "8", "12", "15", "5", "10", "20", "25", "18", "30", "35", "7", "14", "21", "28", "42", "49", "40", "56", "45", "63", "50", "70", "77", "11", "22", "33", "44", "55", "66", "88", "99", "110", "121", "84", "132", "91", "13", "26", "39", "52", "65", "78", "104", "117", "130", "143", "156", "169", "98", "154", "182", "165", "195", "176", "208", "105", "187", "17", "34", "51", "68", "85", "102", "119", "136" ]
[ "nonn", "look" ]
13
1
2
[ "A351495", "A352793", "A353026", "A359804", "A361372", "A362015" ]
null
Scott R. Shannon, Apr 03 2023
2023-04-06T08:29:25
oeisdata/seq/A362/A362015.seq
3a720b355946abd4999208ce3a68a2e1
A362016
Maximal number of unmarked cells with at least 3 marked neighboring cells in the n X n kings' graph.
[ "0", "1", "4", "8", "13", "20", "28", "38", "50", "61", "75", "90", "108", "124", "139" ]
[ "nonn", "hard", "more" ]
18
1
3
[ "A075561", "A362016" ]
null
Tomas Rigaux, Apr 04 2023
2023-08-24T09:43:37
oeisdata/seq/A362/A362016.seq
b0e9cc2c65399551baa02ce932ec2097
A362017
a(n) is the leading prime in the n-th prime sublist defined in A348168.
[ "2", "3", "5", "7", "11", "17", "23", "29", "37", "53", "59", "67", "79", "89", "97", "127", "137", "149", "157", "163", "173", "179", "191", "197", "211", "223", "239", "251", "293", "307", "331", "347", "353", "359", "367", "397", "409", "419", "431", "439", "449", "457", "479", "521", "541", "557", "587", "631", "673", "683", "691", "701", "719", "787", "809", "821" ]
[ "nonn", "changed" ]
9
1
1
[ "A006562", "A051634", "A051635", "A348168", "A356271", "A362017" ]
null
Ya-Ping Lu, Apr 04 2023
2025-07-08T07:48:45
oeisdata/seq/A362/A362017.seq
f21e76a83153ec7ad33bb048dc513eba
A362018
Numbers k such that the digits of k^2 do not form a subsequence of the digits of 2^k.
[ "0", "1", "3", "5", "6", "7", "8", "9", "10", "11", "12", "13", "14", "15", "16", "17", "18", "19", "20", "21", "22", "23", "24", "25", "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", "53", "54", "55", "56", "57", "59", "60", "61", "62", "63", "65", "66", "67", "68", "69", "70", "71", "72" ]
[ "nonn", "base" ]
12
1
3
[ "A362001", "A362018" ]
null
Chai Wah Wu, Apr 04 2023
2023-04-05T09:13:54
oeisdata/seq/A362/A362018.seq
90a57d3577cac618254d5f2b5936b4ec
A362019
Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = (-1)^n * Sum_{j=0..n} (-k*j)^j * binomial(n,j).
[ "1", "1", "-1", "1", "0", "1", "1", "1", "3", "-1", "1", "2", "13", "17", "1", "1", "3", "31", "173", "169", "-1", "1", "4", "57", "629", "3321", "2079", "1", "1", "5", "91", "1547", "18025", "81529", "31261", "-1", "1", "6", "133", "3089", "58993", "662639", "2443333", "554483", "1", "1", "7", "183", "5417", "147081", "2888979", "29752957", "86475493", "11336753", "-1" ]
[ "sign", "tabl" ]
41
0
9
[ "A033999", "A069856", "A362019", "A362856", "A362859", "A362860", "A362862" ]
null
Seiichi Manyama, May 05 2023
2025-02-16T08:34:05
oeisdata/seq/A362/A362019.seq
882c7d96486177b28b254b96c0066086
A362020
Nonnegative numbers k not ending in 0 such that, in decimal representation, the subsequence of digits of k^2 occupying an odd position is equal to the digits of k.
[ "1", "5", "6", "11", "76", "105", "501", "505", "506", "605", "756", "826", "1001", "5941", "10005", "10505", "12731", "13921", "50001", "50005", "50006", "50105", "50501", "50505", "50506", "50605", "60005", "60505", "88705", "100001", "118905", "364231", "592421", "594941", "684006", "1000005", "1000505", "1050005", "1050505", "1355941" ]
[ "nonn", "base" ]
5
1
2
[ "A326418", "A362020" ]
null
Chai Wah Wu, Apr 04 2023
2023-04-04T22:10:27
oeisdata/seq/A362/A362020.seq
42cc9ae60b60ac36f053bd7be972eae7
A362021
a(n) = Sum_{k=1..n} (-1)^(n-k) * k * mu(k), where mu(k) is the Moebius function.
[ "1", "-3", "0", "0", "-5", "11", "-18", "18", "-18", "28", "-39", "39", "-52", "66", "-51", "51", "-68", "68", "-87", "87", "-66", "88", "-111", "111", "-111", "137", "-137", "137", "-166", "136", "-167", "167", "-134", "168", "-133", "133", "-170", "208", "-169", "169", "-210", "168", "-211", "211", "-211", "257", "-304", "304", "-304", "304", "-253", "253", "-306", "306", "-251", "251", "-194", "252", "-311" ]
[ "sign", "easy", "look" ]
21
1
2
[ "A008683", "A055615", "A068340", "A247418", "A361982", "A362021" ]
null
Seiichi Manyama, Apr 04 2023
2023-04-05T08:28:06
oeisdata/seq/A362/A362021.seq
9ab91857cd3b69459c51f8b8fbdf3534
A362022
a(n) is the least positive integer whose binary expansion is the concatenation of the binary expansions of two numbers whose product is n.
[ "3", "5", "7", "9", "11", "11", "15", "17", "15", "21", "23", "19", "27", "23", "23", "33", "35", "27", "39", "37", "31", "43", "47", "35", "45", "45", "39", "39", "59", "43", "63", "65", "47", "69", "47", "51", "75", "77", "55", "69", "83", "55", "87", "75", "63", "87", "95", "67", "63", "85", "71", "77", "107", "75", "91", "71", "79", "93", "119", "79", "123", "95", "79", "129", "93" ]
[ "nonn", "base" ]
17
1
1
[ "A070939", "A163621", "A362022", "A362023" ]
null
Rémy Sigrist, Apr 05 2023
2023-04-07T10:51:31
oeisdata/seq/A362/A362022.seq
72d60e3880495a5bf517e860b2ad8bce
A362023
a(n) is the least positive integer whose decimal expansion is the concatenation of the decimal expansions of two numbers whose product is n.
[ "11", "12", "13", "14", "15", "16", "17", "18", "19", "25", "111", "26", "113", "27", "35", "28", "117", "29", "119", "45", "37", "112", "123", "38", "55", "126", "39", "47", "129", "56", "131", "48", "113", "134", "57", "49", "137", "138", "133", "58", "141", "67", "143", "114", "59", "146", "147", "68", "77", "105", "151", "134", "153", "69", "115", "78", "157", "158" ]
[ "nonn", "base" ]
13
1
1
[ "A055642", "A067574", "A347471", "A362022", "A362023" ]
null
Rémy Sigrist, Apr 05 2023
2023-04-07T10:51:34
oeisdata/seq/A362/A362023.seq
4981245184ff079ab2b605d39cb168ca
A362024
The number of iterations of the infinitary totient function iphi (A064380) required to reach from n to 1.
[ "1", "2", "3", "4", "3", "4", "4", "5", "5", "6", "5", "6", "5", "6", "7", "8", "7", "8", "7", "6", "6", "7", "6", "7", "8", "8", "9", "10", "7", "8", "8", "7", "7", "8", "9", "10", "7", "9", "8", "9", "9", "10", "9", "8", "11", "12", "8", "9", "9", "10", "10", "11", "7", "10", "9", "9", "11", "12", "8", "9", "9", "10", "9", "10", "8", "9", "11", "10", "9", "10", "8", "9", "9", "8", "10", "10", "10", "11", "11", "12" ]
[ "nonn" ]
11
2
2
[ "A003434", "A049865", "A064380", "A333609", "A362024", "A362025" ]
null
Amiram Eldar, Apr 05 2023
2023-04-09T02:01:54
oeisdata/seq/A362/A362024.seq
e39097a5d4e358511e6a89f5fb1c4be7
A362025
a(n) is the least number that reaches 1 after n iterations of the infinitary totient function A064380.
[ "2", "3", "4", "5", "9", "11", "16", "17", "28", "29", "46", "47", "99", "145", "167", "205", "314", "397", "437", "793", "851", "1137", "1693", "2453", "2771", "2989", "3701", "5099", "6801", "9299", "12031", "15811", "16816", "21520", "21521", "29547", "39685", "62077", "83191", "103473", "112117", "149535", "157159", "196049", "200267", "303022" ]
[ "nonn" ]
6
1
1
[ "A003271", "A007755", "A064380", "A333610", "A362024", "A362025" ]
null
Amiram Eldar, Apr 05 2023
2023-04-07T17:42:13
oeisdata/seq/A362/A362025.seq
73a8df64589055bb396678ce5f783811
A362026
Smallest unhappy number in base A161874(n).
[ "3", "7", "3", "5", "20", "3", "12", "3", "3", "14", "3", "3", "3", "3", "3", "3", "23", "3", "23", "3", "261", "6", "12" ]
[ "nonn", "base", "more" ]
43
1
1
[ "A031177", "A161872", "A161874", "A362026" ]
null
Lucas A. Brown, Apr 26 2023
2023-05-02T14:42:16
oeisdata/seq/A362/A362026.seq
a99af4803bbf0130b5a29de2cba61934
A362027
Squares visited by a knight moving on a square-spiral numbered board where the knight moves to a previously unvisited square with a number as close as possible to the number of the current square. If two such squares exist the smaller numbered square is chosen.
[ "1", "10", "3", "6", "9", "12", "15", "18", "7", "4", "11", "8", "5", "2", "13", "28", "25", "46", "21", "40", "17", "34", "59", "56", "29", "32", "55", "58", "33", "30", "53", "26", "47", "22", "19", "16", "37", "62", "95", "136", "91", "130", "87", "52", "49", "24", "27", "48", "51", "80", "83", "120", "123", "84", "81", "118", "77", "44", "41", "68", "103", "100", "63", "66", "39", "36", "61", "94", "57", "88", "127", "174", "229", "170" ]
[ "nonn", "fini", "full" ]
18
1
2
[ "A174344", "A274923", "A316667", "A328909", "A328929", "A358150", "A358278", "A362027" ]
null
Scott R. Shannon, Apr 05 2023
2023-04-16T20:25:56
oeisdata/seq/A362/A362027.seq
f70de834067d7a4f3b19a97109462151
A362028
a(n) = Sum_{k=1..n} (-1)^(n-k) * mu(k)^2, where mu(k) is the Moebius function.
[ "1", "0", "1", "-1", "2", "-1", "2", "-2", "2", "-1", "2", "-2", "3", "-2", "3", "-3", "4", "-4", "5", "-5", "6", "-5", "6", "-6", "6", "-5", "5", "-5", "6", "-5", "6", "-6", "7", "-6", "7", "-7", "8", "-7", "8", "-8", "9", "-8", "9", "-9", "9", "-8", "9", "-9", "9", "-9", "10", "-10", "11", "-11", "12", "-12", "13", "-12", "13", "-13", "14", "-13", "13", "-13", "14", "-13", "14", "-14", "15", "-14", "15", "-15", "16", "-15", "15", "-15", "16", "-15", "16", "-16", "16", "-15", "16", "-16", "17" ]
[ "sign", "easy" ]
22
1
5
[ "A008683", "A008966", "A013928", "A185197", "A362028", "A362029" ]
null
Seiichi Manyama, Apr 05 2023
2024-03-05T11:52:29
oeisdata/seq/A362/A362028.seq
9f76b65132606d86813d2c89cc797280
A362029
a(n) = Sum_{k=1..n} (-1)^(n-k) * k * mu(k)^2, where mu(k) is the Moebius function.
[ "1", "1", "2", "-2", "7", "-1", "8", "-8", "8", "2", "9", "-9", "22", "-8", "23", "-23", "40", "-40", "59", "-59", "80", "-58", "81", "-81", "81", "-55", "55", "-55", "84", "-54", "85", "-85", "118", "-84", "119", "-119", "156", "-118", "157", "-157", "198", "-156", "199", "-199", "199", "-153", "200", "-200", "200", "-200", "251", "-251", "304", "-304", "359", "-359", "416", "-358", "417", "-417", "478", "-416", "416" ]
[ "sign", "easy" ]
16
1
3
[ "A008683", "A055615", "A066779", "A362021", "A362028", "A362029" ]
null
Seiichi Manyama, Apr 05 2023
2023-04-05T13:31:22
oeisdata/seq/A362/A362029.seq
4ffa7b04f6497d3afee6312b31d3e01d
A362030
Irregular triangle read by rows where row n contains the balanced binary words of length 2n interpreted as binary numbers.
[ "1", "2", "3", "5", "6", "9", "10", "12", "7", "11", "13", "14", "19", "21", "22", "25", "26", "28", "35", "37", "38", "41", "42", "44", "49", "50", "52", "56", "15", "23", "27", "29", "30", "39", "43", "45", "46", "51", "53", "54", "57", "58", "60", "71", "75", "77", "78", "83", "85", "86", "89", "90", "92", "99", "101", "102", "105", "106", "108", "113", "114", "116", "120", "135" ]
[ "nonn", "tabf", "easy" ]
46
1
2
[ "A000225", "A000984", "A036563", "A072601", "A072603", "A083329", "A131568", "A362030", "A368804" ]
null
Louis Conover, Apr 05 2023
2024-01-09T10:28:26
oeisdata/seq/A362/A362030.seq
c1b19bababfd8a32760f0ea3665bb9e9
A362031
a(1) = 1; for n > 1, a(n) is number of terms in the first n-1 terms of the sequence that have the same number of prime factors, counted with multiplicity, as a(n-1).
[ "1", "1", "2", "1", "3", "2", "3", "4", "1", "4", "2", "5", "6", "3", "7", "8", "1", "5", "9", "4", "5", "10", "6", "7", "11", "12", "2", "13", "14", "8", "3", "15", "9", "10", "11", "16", "1", "6", "12", "4", "13", "17", "18", "5", "19", "20", "6", "14", "15", "16", "2", "21", "17", "22", "18", "7", "23", "24", "3", "25", "19", "26", "20", "8", "9", "21", "22", "23", "27", "10", "24", "4", "25", "26", "27", "11", "28", "12", "13", "29", "30", "14", "28" ]
[ "nonn" ]
31
1
3
[ "A000005", "A001222", "A124056", "A342585", "A354606", "A362031", "A362033" ]
null
Scott R. Shannon, Apr 06 2023
2023-04-09T02:05:27
oeisdata/seq/A362/A362031.seq
a6b040f134016fb8ecd31f2f073090a0
A362032
Lexicographically least counterexample to Dombi's conjecture.
[ "3", "6", "9", "12", "16", "28", "29", "30", "31", "32", "33", "34", "35", "36", "40", "41", "42", "44", "50", "56", "60", "61", "62", "63", "69", "70", "71", "72", "74", "82", "88", "89", "90", "91", "103", "107", "108", "109", "110", "111", "112", "113", "114", "115", "117", "118", "122", "125", "129", "130", "131", "133", "134", "136", "140", "143", "147", "148", "149" ]
[ "nonn" ]
21
1
1
[ "A359263", "A359264", "A362032" ]
null
Jeffrey Shallit, Apr 06 2023
2024-02-01T02:52:31
oeisdata/seq/A362/A362032.seq
761f1ad967ffa4d2895882f9230cb5c3
A362033
The indices where A362031(n) = 1.
[ "1", "2", "4", "9", "17", "37", "88", "185", "387", "783", "1611", "3354", "6959", "14469", "29983", "62386", "127992", "256022", "513110", "1029534", "2069248", "4161860", "8380507", "16880924", "34031112", "68622510", "138439065", "279365954", "563874347", "1138322112", "2298288343", "4640647720" ]
[ "nonn", "more" ]
27
1
2
[ "A001222", "A362031", "A362033" ]
null
Scott R. Shannon, Apr 06 2023
2023-04-09T02:05:43
oeisdata/seq/A362/A362033.seq
bd7e396b1789d9dcfdbfbcc2a6e7fe0b
A362034
Triangle read by rows: T(n,0) = T(n,n) = 2, 0 < k < n: T(n,k) = smallest prime not less than T(n-1,k) + T(n-1,k-1).
[ "2", "2", "2", "2", "5", "2", "2", "7", "7", "2", "2", "11", "17", "11", "2", "2", "13", "29", "29", "13", "2", "2", "17", "43", "59", "43", "17", "2", "2", "19", "61", "103", "103", "61", "19", "2", "2", "23", "83", "167", "211", "167", "83", "23", "2", "2", "29", "107", "251", "379", "379", "251", "107", "29", "2", "2", "31", "137", "359", "631", "761", "631", "359", "137", "31", "2" ]
[ "nonn", "tabl" ]
46
0
1
[ "A000040", "A007318", "A132403", "A199333", "A362034" ]
null
Jack Braxton, Apr 05 2023
2025-04-15T18:29:40
oeisdata/seq/A362/A362034.seq
0f3de26895d8e35479819d4bee5dd8a2
A362035
Numbers that occur three or more times in A362034.
[ "2", "17", "29", "43", "59", "61", "83", "103", "107", "137", "167", "173", "211", "251", "257", "307", "359", "379", "419", "479", "499", "541", "613", "631", "673", "691", "761", "769", "853", "887", "937", "991", "1031", "1129", "1151", "1231", "1361", "1399", "1459", "1471", "1493", "1583", "1697", "1823", "1831", "1973", "2111", "2179", "2243", "2251", "2393" ]
[ "nonn" ]
26
1
1
[ "A000040", "A362034", "A362035" ]
null
Jack Braxton, Apr 05 2023
2023-04-09T03:02:39
oeisdata/seq/A362/A362035.seq
d920addc9b0b107243d1b92574c417fd
A362036
The prime indices of A362034.
[ "1", "1", "1", "1", "3", "1", "1", "4", "4", "1", "1", "5", "7", "5", "1", "1", "6", "10", "10", "6", "1", "1", "7", "14", "17", "14", "7", "1", "1", "8", "18", "27", "27", "18", "8", "1", "1", "9", "23", "39", "47", "39", "23", "9", "1", "1", "10", "28", "54", "75", "75", "54", "28", "10", "1", "1", "11", "33", "72", "115", "135", "115", "72", "33", "11", "1", "1", "12", "40", "95", "167", "222", "222", "167", "95", "40", "12", "1" ]
[ "nonn", "tabl" ]
30
0
5
[ "A000720", "A362034", "A362036" ]
null
Jack Braxton, Apr 05 2023
2025-06-21T00:45:14
oeisdata/seq/A362/A362036.seq
94ec17edd12cd3db16d44a22b2a915ca
A362037
Sums of the rows in A362034.
[ "2", "4", "9", "18", "43", "88", "183", "370", "761", "1536", "3081", "6202", "12427", "24908", "49875", "99834", "199769", "399572", "799289", "1598726", "3197557", "6395400", "12791045", "25582310", "51164767", "102329800", "204659929", "409320270", "818640731", "1637281876", "3274564199", "6549128694", "13098257783", "26196515972" ]
[ "nonn" ]
23
1
1
[ "A362034", "A362037" ]
null
Jack Braxton, Apr 05 2023
2023-04-07T23:28:30
oeisdata/seq/A362/A362037.seq
4e32c72e58a03240f2c65625254fe1ec
A362038
A list of lists where T(n,k) is the smallest n-digit number whose digits have arithmetic mean k, for 1 <= k <= 9.
[ "1", "2", "3", "4", "5", "6", "7", "8", "9", "11", "13", "15", "17", "19", "39", "59", "79", "99", "102", "105", "108", "129", "159", "189", "399", "699", "999", "1003", "1007", "1029", "1069", "1199", "1599", "1999", "5999", "9999", "10004", "10009", "10059", "10199", "10699", "12999", "17999", "49999", "99999", "100005", "100029", "100089" ]
[ "nonn", "base", "easy", "tabf" ]
56
1
2
[ "A007953", "A055642", "A061383", "A362038" ]
null
Ctibor O. Zizka, Apr 15 2023
2023-05-20T14:52:20
oeisdata/seq/A362/A362038.seq
10387dc44d3020c386ef90c8244956f3
A362039
Least number s such that there are 2 different sets of primes { a1, a2, ..., an } and { b1, b2, ..., bn } with the integers in each set having the same sum s, the same sum of squares, etc., up to and including the same sum of (n-1)-st powers.
[ "16", "55", "120", "433", "378" ]
[ "nonn", "more" ]
150
2
1
[ "A087747", "A117929", "A239066", "A239067", "A239068", "A323395", "A362039" ]
null
Jean-Marc Rebert, Apr 15 2023
2023-05-28T12:54:13
oeisdata/seq/A362/A362039.seq
dbcaefc490daaa5c02e6b3069eeb840d
A362040
a(n) is the number of distinct sums of one or more contiguous terms in the sequence thus far.
[ "0", "1", "2", "4", "7", "10", "15", "21", "26", "34", "42", "52", "63", "75", "86", "96", "109", "125", "142", "160", "179", "197", "216", "238", "259", "281", "306", "332", "359", "387", "416", "442", "473", "505", "536", "567", "600", "636", "669", "707", "746", "784", "823", "865", "906", "948", "992", "1036", "1083", "1129", "1172", "1222", "1269", "1321", "1374", "1428" ]
[ "nonn" ]
46
1
3
[ "A000217", "A002048", "A002049", "A361798", "A362040" ]
null
Neal Gersh Tolunsky, Apr 15 2023
2023-04-19T09:04:41
oeisdata/seq/A362/A362040.seq
1cb646dd699707e10a27f36820779487
A362041
a(0) = 1; for n > 0, a(n) is the largest k < A013929(n) such that rad(k) = rad(A013929(n)), where rad(n) = A007947(n).
[ "1", "2", "4", "3", "6", "8", "12", "10", "18", "5", "9", "14", "16", "24", "20", "22", "15", "36", "7", "40", "26", "48", "28", "30", "21", "32", "34", "54", "45", "38", "50", "27", "42", "44", "60", "46", "72", "56", "33", "80", "52", "96", "98", "58", "39", "90", "11", "62", "25", "84", "64", "66", "75", "68", "70", "108", "63", "74", "120", "76", "51", "78", "100", "144", "82", "126", "13", "57", "86", "35", "88", "150", "92", "94", "147", "162" ]
[ "nonn" ]
29
0
2
[ "A007947", "A013929", "A289280", "A362041" ]
null
Michael De Vlieger, May 01 2023
2023-05-19T04:24:38
oeisdata/seq/A362/A362041.seq
dba200718ba26e6ec74f5e364de1334a
A362042
Number of odd semiprimes less than 2^n.
[ "0", "0", "0", "0", "2", "4", "11", "24", "51", "103", "207", "417", "815", "1622", "3164", "6210", "12146", "23711", "46295", "90307", "176369", "344155", "672091", "1312721", "2565048", "5013566", "9804910", "19183069", "37547164", "73526846", "144042323", "282317826", "553564500", "1085869406", "2130916524", "4183381508", "8215884036" ]
[ "nonn" ]
23
0
5
[ "A007053", "A046315", "A085770", "A125527", "A362042" ]
null
Sidney Cadot, Apr 15 2023
2023-04-16T21:01:01
oeisdata/seq/A362/A362042.seq
fb22493ced7fb5a7fe07033c3401b3df
A362043
Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..floor(n/3)} (k/6)^j * binomial(n-2*j,j)/(n-2*j)!.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "2", "1", "1", "1", "1", "3", "5", "1", "1", "1", "1", "4", "9", "11", "1", "1", "1", "1", "5", "13", "21", "31", "1", "1", "1", "1", "6", "17", "31", "81", "106", "1", "1", "1", "1", "7", "21", "41", "151", "351", "337", "1", "1", "1", "1", "8", "25", "51", "241", "736", "1233", "1205", "1", "1", "1", "1", "9", "29", "61", "351", "1261", "2689", "5769", "5021", "1" ]
[ "nonn", "tabl" ]
24
0
14
[ "A000012", "A001470", "A190865", "A359762", "A362043", "A362173", "A362300", "A362301", "A362302" ]
null
Seiichi Manyama, Apr 15 2023
2023-04-16T09:48:55
oeisdata/seq/A362/A362043.seq
805baa212d3a7d5bfea3d5972ad44c31
A362044
a(n) = largest k such that k < m^2 and rad(k) | m, where rad(k) = A007947(k) and m = A120944(n).
[ "32", "80", "128", "135", "343", "352", "512", "864", "891", "1088", "875", "1216", "1053", "1728", "2048", "2187", "1375", "2187", "2048", "2048", "3125", "4224", "2187", "4802", "4736", "3773", "5832", "5248", "4913", "5504", "7047", "4459", "7533", "8192", "6859", "10368", "10935", "8192", "11264", "8991", "12312", "12167", "8192", "5831", "8192", "9963", "10449", "16640", "16807", "17152", "18432" ]
[ "nonn" ]
11
1
1
[ "A007947", "A120944", "A289280", "A362044", "A362045" ]
null
Michael De Vlieger, Apr 05 2023
2023-04-19T19:00:42
oeisdata/seq/A362/A362044.seq
8f9c881aed6b6fd809dec76e0554b11a
A362045
a(n) = smallest k such that k > m^2 and rad(k) | m, where rad(k) = A007947(k) and m = A120944(n).
[ "48", "125", "224", "243", "567", "512", "832", "960", "1331", "2048", "1715", "2048", "2187", "1792", "2944", "4131", "3125", "4617", "3712", "3968", "8125", "4374", "5589", "5000", "8192", "9317", "6144", "8192", "10625", "8192", "19683", "15379", "19683", "12032", "11875", "11016", "11907", "13568", "12500", "19683", "13122", "14375", "15104", "16807", "15616", "19683", "19683", "17576", "45619" ]
[ "nonn" ]
8
1
1
[ "A007947", "A120944", "A289280", "A362044", "A362045" ]
null
Michael De Vlieger, Apr 05 2023
2023-04-19T19:00:38
oeisdata/seq/A362/A362045.seq
3fd18910e11aaa100efc72a7b90c58f0
A362046
Number of nonempty subsets of {1..n} with mean n/2.
[ "0", "0", "1", "1", "3", "3", "9", "8", "25", "23", "75", "68", "235", "213", "759", "695", "2521", "2325", "8555", "7941", "29503", "27561", "103129", "96861", "364547", "344003", "1300819", "1232566", "4679471", "4449849", "16952161", "16171117", "61790441", "59107889", "226451035", "217157068", "833918839", "801467551", "3084255127" ]
[ "nonn" ]
12
0
5
[ "A000975", "A000980", "A006134", "A007318", "A013580", "A024718", "A057552", "A067538", "A070925", "A079309", "A102627", "A133406", "A212352", "A231147", "A327475", "A327481", "A349156", "A359893", "A361654", "A361801", "A361849", "A361853", "A361864", "A362046" ]
null
Gus Wiseman, Apr 12 2023
2023-04-18T17:33:01
oeisdata/seq/A362/A362046.seq
981fa122c38a7b3012eb72c905a6033e
A362047
Numbers whose prime indices satisfy: (maximum) - (minimum) = (mean).
[ "10", "30", "39", "90", "98", "99", "100", "115", "259", "270", "273", "300", "490", "495", "517", "663", "665", "793", "810", "900", "1000", "1083", "1241", "1421", "1495", "1521", "1691", "1911", "2058", "2079", "2125", "2145", "2369", "2430", "2450", "2475", "2662", "2700", "2755", "2821", "3000", "3277", "4247", "4495", "4921", "5587", "5863", "6069" ]
[ "nonn" ]
12
1
1
[ "A001222", "A055396", "A056239", "A061395", "A111907", "A112798", "A118096", "A237832", "A243055", "A268192", "A316413", "A326836", "A326837", "A326844", "A326846", "A359358", "A359360", "A361855", "A361862", "A361908", "A362047" ]
null
Gus Wiseman, Apr 11 2023
2023-04-14T02:13:12
oeisdata/seq/A362/A362047.seq
44542478c89284a6d5e3f571513d12b0
A362048
Number of integer partitions of n such that (length) <= 2*(median).
[ "1", "2", "2", "3", "4", "6", "8", "12", "15", "20", "25", "33", "41", "53", "66", "85", "105", "134", "164", "205", "250", "308", "373", "456", "549", "666", "799", "963", "1152", "1382", "1645", "1965", "2330", "2767", "3269", "3865", "4546", "5353", "6274", "7357", "8596", "10046", "11700", "13632", "15834", "18394", "21312", "24690", "28534", "32974" ]
[ "nonn" ]
5
1
2
[ "A000009", "A000041", "A000975", "A008284", "A013580", "A027193", "A237755", "A237800", "A237824", "A240219", "A307683", "A325347", "A359893", "A359901", "A360005", "A360457", "A361394", "A361848", "A361851", "A361856", "A361860", "A361867", "A361868", "A362048", "A362049" ]
null
Gus Wiseman, Apr 10 2023
2023-04-11T08:39:46
oeisdata/seq/A362/A362048.seq
17b20e427274e58af4782e91b7064e6f
A362049
Number of integer partitions of n such that (length) = 2*(median).
[ "0", "1", "0", "0", "0", "0", "1", "3", "3", "3", "3", "3", "3", "4", "5", "9", "12", "19", "22", "29", "32", "39", "43", "51", "57", "70", "81", "101", "123", "153", "185", "230", "272", "328", "386", "454", "526", "617", "708", "824", "951", "1106", "1277", "1493", "1727", "2020", "2344", "2733", "3164", "3684", "4245", "4914", "5647", "6502", "7438", "8533", "9730" ]
[ "nonn" ]
11
1
8
[ "A000009", "A000041", "A000975", "A008284", "A013580", "A027193", "A079309", "A237753", "A237757", "A237800", "A240219", "A307683", "A325347", "A359893", "A359901", "A360005", "A360457", "A361801", "A361848", "A361849", "A361856", "A361858", "A361859", "A362048", "A362049", "A362050" ]
null
Gus Wiseman, Apr 10 2023
2023-04-16T06:35:13
oeisdata/seq/A362/A362049.seq
77b135d5500f20458390fe6288533636
A362050
Numbers whose prime indices satisfy: (length) = 2*(median).
[ "4", "54", "81", "90", "100", "126", "135", "140", "189", "198", "220", "234", "260", "297", "306", "340", "342", "351", "380", "414", "459", "460", "513", "522", "558", "580", "620", "621", "666", "738", "740", "774", "783", "820", "837", "846", "860", "940", "954", "999", "1060", "1062", "1098", "1107", "1161", "1180", "1206", "1220", "1269", "1278", "1314" ]
[ "nonn" ]
6
1
1
[ "A001222", "A055396", "A056239", "A061395", "A067801", "A106529", "A111907", "A112798", "A255201", "A316413", "A326567", "A326568", "A360005", "A361800", "A361849", "A361856", "A361868", "A361908", "A362049", "A362050" ]
null
Gus Wiseman, Apr 20 2023
2023-04-20T14:56:08
oeisdata/seq/A362/A362050.seq
0c0fa827d278f0337ccb88851399d07b
A362051
Number of integer partitions of 2n without a nonempty initial consecutive subsequence summing to n.
[ "1", "1", "2", "6", "11", "27", "44", "93", "149", "271", "432", "744", "1109", "1849", "2764", "4287", "6328", "9673", "13853", "20717", "29343", "42609", "60100", "85893", "118475", "167453", "230080", "318654", "433763", "595921", "800878", "1090189", "1456095", "1957032", "2600199", "3465459", "4558785", "6041381", "7908681" ]
[ "nonn" ]
17
0
3
[ "A000009", "A000041", "A000302", "A108917", "A169942", "A213173", "A237363", "A304442", "A307683", "A322439", "A325347", "A325676", "A353836", "A353864", "A359893", "A359901", "A359902", "A360254", "A360672", "A360675", "A360686", "A360952", "A362051", "A362558", "A362560" ]
null
Gus Wiseman, Apr 24 2023
2023-04-28T15:00:22
oeisdata/seq/A362/A362051.seq
000899666f3da1506fae0e9eb63ee787
A362052
Practical numbers (A005153) that are abundant and have a record low value of abundancy index.
[ "12", "18", "20", "88", "104", "464", "1888", "1952", "29056", "29312", "29824", "30592", "30848", "32128", "127744", "128768", "130304", "521728", "522752", "8341504", "8353792", "8378368", "8382464", "134029312", "134045696", "134094848", "134193152", "2146926592", "2146992128", "8586723328", "8587902976", "8589082624" ]
[ "nonn" ]
6
1
1
[ "A000079", "A000203", "A000396", "A005101", "A005153", "A071927", "A335029", "A335030", "A362052" ]
null
Amiram Eldar, Apr 06 2023
2023-04-07T17:42:30
oeisdata/seq/A362/A362052.seq
c688ccd97b7852bd8e6bad22a895d010
A362053
Primitive abundant numbers k (A071395) whose abundancy index sigma(k)/k has a record low value.
[ "20", "70", "88", "104", "464", "650", "1888", "1952", "4030", "5830", "8925", "17816", "32128", "77744", "91388", "128768", "130304", "442365", "521728", "522752", "1848964", "8353792", "8378368", "8382464", "35021696", "45335936", "120888092", "134193152", "775397948", "1845991216", "2146926592", "2146992128", "3381872252" ]
[ "nonn" ]
8
1
1
[ "A000203", "A071395", "A071927", "A083873", "A334419", "A362053" ]
null
Amiram Eldar, Apr 06 2023
2023-04-07T17:42:41
oeisdata/seq/A362/A362053.seq
4ace8a1a6babc227d41e041b20c51115
A362054
Primitive unitary abundant numbers k (A302573) whose unitary abundancy index usigma(k)/k has a record low value.
[ "70", "1092", "1428", "1596", "4030", "5830", "50388", "133042", "216300", "269990", "437745", "442365", "4199030", "22982388", "124540390", "361745930", "507298090", "541900788", "624032630", "1113445430", "3002432810", "6771402960", "13455037365", "17242767300", "60428265370" ]
[ "nonn", "more" ]
6
1
1
[ "A034448", "A302573", "A362053", "A362054" ]
null
Amiram Eldar, Apr 06 2023
2023-04-07T17:42:50
oeisdata/seq/A362/A362054.seq
86e93fe792172bf1224d5cb55116798f
A362055
Number of compositions of n that are anti-palindromic modulo 2.
[ "1", "1", "1", "3", "3", "7", "11", "17", "33", "49", "89", "147", "243", "423", "691", "1185", "1985", "3329", "5649", "9443", "15971", "26855", "45179", "76209", "128097", "215921", "363433", "611827", "1030611", "1734599", "2921443", "4918593", "8281473", "13945473", "23478689", "39535299", "66566851", "112082503", "188725611" ]
[ "nonn", "easy" ]
27
0
4
[ "A000213", "A362055", "A362057" ]
null
Jia Huang, Apr 06 2023
2023-05-09T22:14:10
oeisdata/seq/A362/A362055.seq
1591eb1a9452c2ef0f59f36d5cbe79d6
A362056
Prime numbers of the form prime(k)! - prime(k!).
[ "3", "107", "4951", "39916141", "355687428046967" ]
[ "nonn", "hard", "more" ]
17
1
1
[ "A000040", "A000142", "A062439", "A261997", "A362056" ]
null
Michael S. Branicky, Apr 06 2023
2023-04-15T10:08:45
oeisdata/seq/A362/A362056.seq
2f4cfbcce6e43fb4b9f0a3f899a93751
A362057
Number of compositions of n that are anti-palindromic modulo 3.
[ "1", "1", "1", "3", "5", "7", "15", "27", "43", "81", "147", "249", "449", "809", "1409", "2507", "4485", "7903", "14015", "24963", "44187", "78329", "139203", "246801", "437601", "776881", "1378081", "2444083", "4337125", "7694487", "13648655", "24215947", "42962283", "76213761", "135212947", "239883849", "425562849", "754987929" ]
[ "nonn", "easy" ]
26
0
4
[ "A000213", "A362055", "A362057" ]
null
Jia Huang, Apr 06 2023
2023-05-10T00:11:58
oeisdata/seq/A362/A362057.seq
dc12cd07cbe501fc45f545a41cbe7e30
A362058
The location of the first occurrence of n in the decimal expansion of phi (the golden ratio, 1.6180339887...).
[ "4", "0", "19", "5", "11", "22", "1", "10", "3", "7", "231", "34", "121", "55", "254", "366", "0", "35", "2", "188", "19", "54", "62", "131", "78", "213", "67", "63", "51", "174", "40", "137", "181", "5", "26", "56", "28", "98", "32", "6", "105", "90", "347", "27", "58", "21", "70", "102", "15", "11", "214", "394", "66", "111", "57", "768", "30", "48", "22", "166", "68", "1", "50" ]
[ "nonn", "base" ]
27
0
1
[ "A001622", "A014777", "A078197", "A088577", "A176341", "A362058" ]
null
James C. McMahon, Apr 06 2023
2023-04-09T08:06:46
oeisdata/seq/A362/A362058.seq
505974a8f0668ced8e5a2a1a6f56a3f0
A362059
Total number of even divisors of all positive integers <= n.
[ "0", "1", "1", "3", "3", "5", "5", "8", "8", "10", "10", "14", "14", "16", "16", "20", "20", "23", "23", "27", "27", "29", "29", "35", "35", "37", "37", "41", "41", "45", "45", "50", "50", "52", "52", "58", "58", "60", "60", "66", "66", "70", "70", "74", "74", "76", "76", "84", "84", "87", "87", "91", "91", "95", "95", "101", "101", "103", "103", "111", "111", "113", "113", "119", "119", "123", "123", "127", "127", "131", "131", "140", "140", "142", "142", "146" ]
[ "nonn", "easy" ]
19
1
4
[ "A000005", "A002865", "A006218", "A060831", "A066898", "A183063", "A271342", "A362059" ]
null
Omar E. Pol, Apr 06 2023
2023-04-26T07:56:11
oeisdata/seq/A362/A362059.seq
e9cdb1c1fe88c980449a5f613fe90436
A362060
Numbers k such that the digits of k are a subsequence of the digits of prime(k).
[ "7", "1491", "1723", "4437", "5789", "5893", "6151", "6331", "6347", "6455", "6456", "6457", "6459", "6460", "6466", "6469", "6491", "6501", "6513", "6523", "6581", "6663", "6931", "7817", "9551", "12083", "15103", "23071", "24833", "107647", "115259", "303027", "440999", "968819", "5517973", "27737957", "93230839", "95929941", "96567161" ]
[ "nonn", "base" ]
35
1
1
[ "A000040", "A133583", "A133589", "A362060", "A362066" ]
null
Jean-Marc Rebert, Apr 06 2023
2023-04-08T11:07:11
oeisdata/seq/A362/A362060.seq
73aba55d34a3dd5dee238b1e5dc4e9ea
A362061
a(1) = 1; for n > 1, a(n) is number of terms in the first n-1 terms of the sequence that have the same number of distinct prime factors as a(n-1).
[ "1", "1", "2", "1", "3", "2", "3", "4", "5", "6", "1", "4", "7", "8", "9", "10", "2", "11", "12", "3", "13", "14", "4", "15", "5", "16", "17", "18", "6", "7", "19", "20", "8", "21", "9", "22", "10", "11", "23", "24", "12", "13", "25", "26", "14", "15", "16", "27", "28", "17", "29", "30", "1", "5", "31", "32", "33", "18", "19", "34", "20", "21", "22", "23", "35", "24", "25", "36", "26", "27", "37", "38", "28", "29", "39", "30", "2", "40", "31", "41", "42" ]
[ "nonn" ]
22
1
3
[ "A000005", "A001221", "A124056", "A342585", "A354606", "A362031", "A362033", "A362061", "A362062" ]
null
Scott R. Shannon, Apr 06 2023
2023-04-07T11:27:16
oeisdata/seq/A362/A362061.seq
3c2ed17a6868a86bd6663eb7674653ca
A362062
First index in A362061 where A001221(A362061(a(n))) = n.
[ "1", "3", "10", "52", "398", "4734", "78428", "1326821", "26386288", "645482585" ]
[ "nonn", "more" ]
17
0
2
[ "A001221", "A362061", "A362062" ]
null
Scott R. Shannon, Apr 06 2023
2023-04-07T10:51:45
oeisdata/seq/A362/A362062.seq
4887a7a16374255ebcf37fc41d62b057
A362063
Number of 2-balanced binary words of length n with respect to the permutations of the symbols.
[ "1", "1", "2", "4", "8", "16", "31", "60", "111", "205", "364", "647", "1110", "1908", "3190", "5345", "8743", "14352", "23090", "37232", "59113", "94079", "147531", "232073", "360750", "561692", "865823", "1338269", "2047388", "3139690", "4781349", "7281656", "11021651", "16716751", "25178531", "37994309", "57046272" ]
[ "nonn" ]
15
0
3
[ "A005598", "A274005", "A362063" ]
null
Dominika Datko, communicated by Bartlomiej Pawlik, Apr 07 2023
2023-06-15T11:09:03
oeisdata/seq/A362/A362063.seq
5fdc7692774060162cd0538b3fd8f2b8
A362064
Lexicographically earliest sequence of distinct positive integers such that the digit "1" is neither present in a(n) nor in a(n) + a(n+1).
[ "2", "3", "4", "5", "20", "6", "22", "7", "23", "9", "24", "8", "25", "27", "26", "28", "29", "30", "32", "33", "34", "35", "37", "36", "38", "39", "40", "42", "43", "44", "45", "47", "46", "48", "49", "50", "200", "52", "202", "53", "203", "54", "204", "55", "205", "57", "206", "56", "207", "58", "208", "59", "209", "60", "220", "62", "222", "63", "223", "64", "224", "65", "225", "67" ]
[ "base", "nonn" ]
21
1
1
[ "A052383", "A299957", "A362064" ]
null
Eric Angelini and Cécile Angelini, Apr 07 2023
2023-04-07T19:58:54
oeisdata/seq/A362/A362064.seq
9d560825efec64318e120a992f242b8b
A362065
Write the English name of a(n); sum the ranks of its letters in the alphabet; divide the sum by a(n); the result is an integer.
[ "1", "2", "4", "16", "134" ]
[ "base", "nonn", "fini", "full", "word" ]
28
1
2
[ "A073327", "A092320", "A126259", "A226911", "A362065" ]
null
Eric Angelini and Mensanator, Apr 07 2023
2024-11-17T07:27:00
oeisdata/seq/A362/A362065.seq
2291d054d2d742ba2a5a29912ad1c36d
A362066
Primes associated with the indices in A362060.
[ "17", "12491", "14723", "42437", "57089", "58193", "61051", "63131", "63347", "64553", "64567", "64577", "64591", "64601", "64661", "64679", "64951", "65071", "65173", "65293", "65881", "66863", "69931", "79817", "99551", "129083", "165103", "263071", "284833", "1407647", "1515259", "4303027", "6440999", "14968819", "95517973", "527737957", "1893230839", "1950929941", "1964567161" ]
[ "nonn", "base" ]
26
1
1
[ "A362060", "A362066" ]
null
Jean-Marc Rebert, Apr 07 2023
2023-04-18T10:24:38
oeisdata/seq/A362/A362066.seq
2ca5a667fd6e3b4551df73e9d3f5777a
A362067
Sum of successive Fibonacci numbers F(n) : a(n) = Sum_{k = 0..n} F(n+k).
[ "0", "2", "6", "18", "50", "136", "364", "966", "2550", "6710", "17622", "46224", "121160", "317434", "831430", "2177322", "5701290", "14927768", "39083988", "102327390", "267903350", "701391022", "1836283246", "4807480608", "12586194000", "32951158706", "86267374854", "225851115906", "591286215650", "1548007923880" ]
[ "nonn", "easy" ]
24
0
2
[ "A000032", "A000045", "A094292", "A199334", "A362067" ]
null
Philippe Deléham, Apr 07 2023
2024-06-10T08:52:01
oeisdata/seq/A362/A362067.seq
fce05ec17ded7c6e4836f7860380c849
A362068
a(n) is the smallest positive integer k such that n can be expressed as the arithmetic mean of k squares.
[ "1", "2", "3", "1", "2", "3", "3", "2", "1", "2", "3", "3", "2", "3", "3", "1", "2", "2", "3", "2", "4", "3", "3", "3", "1", "2", "3", "3", "2", "3", "3", "2", "3", "2", "3", "1", "2", "3", "3", "2", "2", "3", "3", "3", "2", "3", "3", "3", "1", "2", "3", "2", "2", "3", "3", "3", "3", "2", "3", "3", "2", "3", "3", "1", "2", "3", "3", "2", "4", "3", "3", "2", "2", "2", "3", "3", "4", "3", "3", "2", "1", "2", "3", "4", "2", "3", "3", "3", "2", "2", "3", "3", "4", "3", "3", "3", "2", "2", "3", "1" ]
[ "nonn", "easy" ]
59
1
2
[ "A004215", "A360530", "A362068" ]
null
Yifan Xie, Apr 07 2023
2023-08-10T09:02:38
oeisdata/seq/A362/A362068.seq
40d29ef3fae4aaec65db73cf7d8004b5
A362069
Numbers k such that k+digitsum(k^2) is a square.
[ "0", "17", "62", "71", "117", "125", "197", "206", "296", "297", "305", "413", "414", "557", "558", "692", "702", "711", "863", "864", "872", "873", "1062", "1070", "1071", "1268", "1493", "1502", "1727", "1736", "1737", "1745", "1998", "2006", "2267", "2276", "2285", "2564", "2565", "2573", "2879", "2888", "2889", "3221", "3222" ]
[ "nonn", "easy", "base" ]
37
1
2
[ "A004159", "A066564", "A362069" ]
null
Alexandru Petrescu, May 17 2023
2023-05-28T08:45:40
oeisdata/seq/A362/A362069.seq
7139ceb56e78172574322c59ffd59d4a
A362070
Let m_min(n, k) be the smallest m such that n divides Product_{t=1..m} RisingFactorial(t, k). a(n) = Sum_{r=1..K(n)} m_min(n, r), where K(n) is the Kempner number A002034(n).
[ "1", "3", "6", "9", "15", "6", "28", "10", "16", "15", "66", "9", "91", "28", "15", "16", "153", "16", "190", "15", "28", "66", "276", "10", "33", "91", "29", "28", "435", "15", "496", "24", "66", "153", "28", "16", "703", "190", "91", "15", "861", "28", "946", "66", "18", "276", "1128", "16", "54", "33", "153", "91", "1431", "29", "66", "28", "190" ]
[ "nonn" ]
27
1
2
[ "A002034", "A006530", "A034953", "A048799", "A362070" ]
null
Lechoslaw Ratajczak, May 17 2023
2025-03-26T08:32:03
oeisdata/seq/A362/A362070.seq
48fad1973d66373c5a69b32d201a8820
A362071
a(1) = 1, and thereafter a(n) is the number of terms with index m < n such that gpf(a(m)) = gpf(a(n-1)), where gpf(k) = A006530(k) is the greatest prime factor of k (or 1 if k=1).
[ "1", "1", "2", "1", "3", "1", "4", "2", "3", "2", "4", "5", "1", "5", "2", "6", "3", "4", "7", "1", "6", "5", "3", "6", "7", "2", "8", "9", "8", "10", "4", "11", "1", "7", "3", "9", "10", "5", "6", "11", "2", "12", "12", "13", "1", "8", "13", "2", "14", "4", "15", "7", "5", "8", "16", "17", "1", "9", "14", "6", "15", "9", "16", "18", "17", "2", "19", "1", "10", "10", "11", "3", "18", "19", "2" ]
[ "nonn" ]
27
1
3
[ "A006530", "A362071" ]
null
Florian Baur, Apr 08 2023
2023-08-21T22:30:17
oeisdata/seq/A362/A362071.seq
f6498984c21e965508f0a8b6815299ce
A362072
Antidiagonal sums of A336225.
[ "0", "0", "1", "4", "10", "20", "35", "20", "39", "48", "57", "58", "61", "58", "95", "110", "140", "114", "159", "186", "205", "172", "160", "134", "203", "206", "252", "216", "288", "262", "265", "280", "281", "260", "371", "354", "381", "282", "382", "430", "454", "410", "425", "392", "528", "510", "528", "466", "568", "628", "593", "626", "629", "594", "666", "684", "775" ]
[ "nonn", "base", "look" ]
18
0
4
[ "A003991", "A007953", "A336225", "A353128", "A362072" ]
null
Stefano Spezia, Apr 08 2023
2023-04-12T09:17:21
oeisdata/seq/A362/A362072.seq
b6e42e49d2641299d394f7956c1f5a87
A362073
a(n) is the permanent of the n X n symmetric matrix M(n) whose generic element M[i,j] = digsum(i*j).
[ "1", "1", "8", "216", "7344", "168183", "7226091", "506792295", "43261224876", "5520748306176", "170835815638728", "19632554202684096", "2228687316428293152", "347514692118635694888", "62201193604462666921968", "8113764691750577654439864", "1557556394182730485102253088", "348394812690307787609428395792" ]
[ "nonn", "base" ]
9
0
3
[ "A003991", "A007953", "A336225", "A353933", "A362072", "A362073", "A362074" ]
null
Stefano Spezia, Apr 08 2023
2023-04-09T14:43:06
oeisdata/seq/A362/A362073.seq
14239fe404e338deddfe1ef30b71e609
A362074
a(n) is the rank of the n X n symmetric matrix M(n) whose generic element M[i,j] = digsum(i*j).
[ "1", "1", "1", "3", "5", "6", "7", "7", "7", "7", "7", "9", "11", "11", "13", "14", "15", "16", "18", "18", "18", "19", "19", "21", "23", "24", "25", "26", "27", "27", "28", "29", "30", "31", "32", "33", "34", "35", "36", "36", "37", "38", "39", "40", "41", "42", "43", "44", "45", "45", "46", "47", "48", "49", "50", "51", "52", "53", "54", "54", "55", "56", "57", "58", "59", "60", "61", "62", "63" ]
[ "nonn", "base" ]
11
1
4
[ "A003991", "A007953", "A353933", "A362072", "A362073", "A362074" ]
null
Stefano Spezia, Apr 08 2023
2023-04-09T14:43:23
oeisdata/seq/A362/A362074.seq
b36c6b4ecc74873fa4d0a5811bf48483
A362075
a(1) = 1, a(2) = 2; for n > 2, a(n) is the least positive integer not occurring earlier such that a(n) shares no digit with a(n-2) + a(n-1).
[ "1", "2", "4", "3", "5", "6", "7", "8", "9", "20", "10", "11", "30", "22", "13", "12", "14", "15", "16", "24", "17", "23", "18", "25", "19", "21", "26", "28", "27", "29", "31", "32", "40", "33", "41", "35", "34", "37", "36", "42", "39", "43", "44", "45", "46", "38", "50", "47", "48", "60", "49", "52", "53", "62", "63", "64", "54", "55", "56", "57", "58", "66", "59", "67", "70", "65", "68", "69", "80", "72", "73", "76", "75", "74", "77", "78" ]
[ "nonn", "base", "fini" ]
23
1
2
[ "A067581", "A297065", "A342441", "A342442", "A362075", "A362076" ]
null
Scott R. Shannon, Apr 08 2023
2023-04-09T10:54:37
oeisdata/seq/A362/A362075.seq
6cbe1387a6f5b71240f17509e2264a44
A362076
a(1) = 1, a(2) = 2; for n > 2, a(n) is the least positive integer not occurring earlier such that a(n) shares no digit with a(n-2) * a(n-1).
[ "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "22", "13", "14", "30", "15", "12", "23", "18", "20", "17", "16", "19", "21", "24", "26", "31", "25", "28", "29", "33", "32", "27", "35", "36", "34", "37", "39", "50", "38", "42", "40", "43", "44", "45", "46", "41", "47", "48", "49", "60", "51", "52", "70", "55", "61", "62", "54", "56", "57", "58", "59", "65", "64", "53", "66", "67", "63", "68", "69", "71", "72", "73", "74", "76", "77" ]
[ "nonn", "base", "fini", "full" ]
18
1
2
[ "A067581", "A297065", "A342441", "A342442", "A362075", "A362076" ]
null
Scott R. Shannon, Apr 08 2023
2023-04-09T10:54:46
oeisdata/seq/A362/A362076.seq
f8de4034b596e4db62b0fd4870f44890
A362077
a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest positive number that has not yet appeared that is a multiple of Omega(a(n-1)).
[ "1", "2", "3", "4", "6", "8", "9", "10", "12", "15", "14", "16", "20", "18", "21", "22", "24", "28", "27", "30", "33", "26", "32", "5", "7", "11", "13", "17", "19", "23", "25", "34", "36", "40", "44", "39", "38", "42", "45", "48", "35", "46", "50", "51", "52", "54", "56", "60", "64", "66", "57", "58", "62", "68", "63", "69", "70", "72", "55", "74", "76", "75", "78", "81", "80", "65", "82", "84", "88", "92", "87", "86", "90", "96", "102", "93" ]
[ "nonn" ]
18
1
2
[ "A000005", "A001222", "A124056", "A342585", "A354606", "A362031", "A362077" ]
null
Scott R. Shannon, Apr 08 2023
2023-08-28T08:21:24
oeisdata/seq/A362/A362077.seq
553ddf6817ce98876202e33339293f3e
A362078
Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = [x^n] 1/(1 - x*(1+x)^k)^n.
[ "1", "1", "1", "1", "1", "3", "1", "1", "5", "10", "1", "1", "7", "22", "35", "1", "1", "9", "37", "105", "126", "1", "1", "11", "55", "215", "511", "462", "1", "1", "13", "76", "369", "1271", "2534", "1716", "1", "1", "15", "100", "571", "2526", "7651", "12720", "6435", "1", "1", "17", "127", "825", "4401", "17577", "46614", "64449", "24310", "1", "1", "19", "157", "1135", "7026", "34412", "123810", "286599", "328900", "92378" ]
[ "nonn", "tabl" ]
11
0
6
[ "A088218", "A213684", "A362078", "A362079", "A362080", "A362087", "A362088" ]
null
Seiichi Manyama, Apr 08 2023
2023-04-08T11:07:03
oeisdata/seq/A362/A362078.seq
23634b66bd84ba1860d23d6b173af580
A362079
Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = [x^n] 1/(1 - x*(1+x)^n)^k.
[ "1", "1", "0", "1", "1", "0", "1", "2", "3", "0", "1", "3", "7", "10", "0", "1", "4", "12", "28", "45", "0", "1", "5", "18", "55", "145", "251", "0", "1", "6", "25", "92", "315", "896", "1624", "0", "1", "7", "33", "140", "571", "2106", "6328", "11908", "0", "1", "8", "42", "200", "930", "4076", "15946", "50212", "97545", "0", "1", "9", "52", "273", "1410", "7026", "32718", "134730", "441489", "880660", "0" ]
[ "nonn", "tabl" ]
11
0
8
[ "A000007", "A099237", "A362078", "A362079", "A362080", "A362084", "A362085" ]
null
Seiichi Manyama, Apr 08 2023
2023-04-08T11:06:58
oeisdata/seq/A362/A362079.seq
4bbf5181fcdfe2bb1bd35133f1eaeccb
A362080
a(n) = [x^n] 1/(1 - x*(1+x)^n)^n.
[ "1", "1", "7", "55", "571", "7026", "98925", "1562219", "27214867", "516646333", "10589130223", "232574622116", "5440521381816", "134859301929873", "3527034780915985", "96965997588549555", "2793286163779275779", "84076751617833902070", "2637677096916448507104" ]
[ "nonn" ]
10
0
3
[ "A362078", "A362079", "A362080" ]
null
Seiichi Manyama, Apr 08 2023
2023-04-09T02:05:21
oeisdata/seq/A362/A362080.seq
5d8969e412ca4af73cb838305a22897a
A362081
Numbers k achieving record abundance (sigma(k) > 2*k) via a residue-based measure M(k) (see Comments), analogous to superabundant numbers A004394.
[ "1", "2", "4", "6", "12", "24", "30", "36", "72", "120", "360", "420", "840", "1680", "2520", "4032", "5040", "10080", "25200", "32760", "65520", "98280", "194040", "196560", "388080", "942480", "1801800", "3160080", "3603600", "6320160", "12640320", "24504480", "53721360", "61981920", "73513440", "115315200", "122522400", "189909720", "192099600", "214885440" ]
[ "nonn" ]
68
1
2
[ "A000079", "A000290", "A000396", "A002201", "A004125", "A004394", "A004490", "A005100", "A005101", "A024916", "A120444", "A235796", "A326393", "A335067", "A362081", "A362082", "A362083" ]
null
Richard Joseph Boland, Apr 08 2023
2023-06-16T13:47:44
oeisdata/seq/A362/A362081.seq
f98fa222113b95bebcc73572d420173a
A362082
Numbers k achieving record deficiency via a residue-based measure, M(k) = (k+1)*(1 - zeta(2)/2) - 1 - ( Sum_{j=1..k} k mod j )/k.
[ "1", "5", "11", "23", "47", "59", "167", "179", "359", "503", "719", "1439", "5039", "6719", "7559", "15119", "20159", "52919", "75599", "83159", "166319", "415799", "720719", "831599", "1081079", "2162159", "4324319", "5266799", "7900199", "10533599", "18345599", "28274399", "41081039", "136936799", "205405199", "410810399" ]
[ "nonn" ]
48
1
2
[ "A000079", "A000290", "A000396", "A002201", "A004125", "A004394", "A004490", "A005100", "A005101", "A024916", "A120444", "A235796", "A326393", "A335067", "A362081", "A362082", "A362083" ]
null
Richard Joseph Boland, Apr 17 2023
2023-06-16T13:48:18
oeisdata/seq/A362/A362082.seq
8267bb72bd74dbe6d35098db49622389
A362083
Numbers k such that, via a residue based measure M(k) (see Comments), k is deficient, k+1 is abundant, and abs(M(k)) + abs(M(k+1)) reaches a new maximum.
[ "11", "17", "19", "47", "53", "103", "347", "349", "557", "1663", "1679", "2519", "5039", "10079", "15119", "25199", "27719", "55439", "110879", "166319", "277199", "332639", "554399", "665279", "720719", "1441439", "2162159", "3603599", "4324319", "7207199", "8648639", "10810799", "21621599", "36756719", "61261199", "73513439", "122522399", "147026879" ]
[ "nonn" ]
28
1
1
[ "A000079", "A000290", "A000396", "A002201", "A004125", "A004394", "A004490", "A005100", "A005101", "A024916", "A120444", "A235796", "A326393", "A335067", "A362081", "A362082", "A362083" ]
null
Richard Joseph Boland, Apr 17 2023
2023-06-16T13:50:03
oeisdata/seq/A362/A362083.seq
b64ce8832a146a5a06f3f979f184b3a3
A362084
a(n) = Sum_{k=0..n} (-1)^k * binomial(-2,k) * binomial(n*k,n-k).
[ "1", "2", "7", "28", "145", "896", "6328", "50212", "441489", "4248370", "44306306", "496991848", "5959111223", "75977511442", "1025441134747", "14594189335496", "218290221112929", "3421314388169988", "56043004143343843", "957209642080023286", "17011439135301438016", "313980693855333453740" ]
[ "nonn" ]
13
0
2
[ "A099237", "A362079", "A362084" ]
null
Seiichi Manyama, Apr 08 2023
2023-04-19T08:04:28
oeisdata/seq/A362/A362084.seq
de50c1f192ca1ca0fb29f374434c1309
A362085
a(n) = Sum_{k=0..n} (-1)^k * binomial(-3,k) * binomial(n*k,n-k).
[ "1", "3", "12", "55", "315", "2106", "15946", "134730", "1253637", "12702961", "138955146", "1629581955", "20371061009", "270124999977", "3783651174906", "55780472480036", "862795543656489", "13963065117796548", "235845816764772718", "4148499020022749151", "75841424406989195136" ]
[ "nonn" ]
14
0
2
[ "A000217", "A362079", "A362085", "A362088" ]
null
Seiichi Manyama, Apr 08 2023
2023-04-19T08:04:48
oeisdata/seq/A362/A362085.seq
dcdb5364a2fb46e64c2dd4fc02fec243
A362086
Denominator of the continued fraction 1/(2-3/(3-4/(4-5/(...(n-1)-n/(-3))))).
[ "3", "17", "9", "13", "53", "23", "29", "107", "43", "17", "179", "23", "79", "269", "101", "113", "29", "139", "1", "503", "61", "199", "647", "233", "251", "809", "17", "103", "43", "1", "373", "1187", "419", "443", "61", "1", "173", "1637", "191", "601", "1889", "659", "53", "127", "751", "1", "2447", "283", "883", "2753", "953", "1", "181", "1063", "367", "263", "131" ]
[ "nonn" ]
35
3
1
[ "A006530", "A014209", "A051403", "A248697", "A362086" ]
null
Mohammed Bouras, May 28 2023
2024-05-09T07:31:51
oeisdata/seq/A362/A362086.seq
18840ba1a0544a69e48cf4359f6426b1
A362087
a(n) = Sum_{k=0..n} (-1)^k * binomial(-n,k) * binomial(2*k,n-k).
[ "1", "1", "7", "37", "215", "1271", "7651", "46614", "286599", "1774630", "11050897", "69134572", "434174819", "2735565574", "17283825370", "109466361512", "694764983463", "4417771590123", "28137563496298", "179478199605550", "1146342590242465", "7330598365285470", "46928753892901140" ]
[ "nonn" ]
9
0
3
[ "A362078", "A362084", "A362087" ]
null
Seiichi Manyama, Apr 08 2023
2023-04-08T11:11:45
oeisdata/seq/A362/A362087.seq
5635774c14b4b50ec51b0893cde33432
A362088
a(n) = Sum_{k=0..n} (-1)^k * binomial(-n,k) * binomial(3*k,n-k).
[ "1", "1", "9", "55", "369", "2526", "17577", "123810", "879921", "6297643", "45325764", "327720471", "2378598885", "17319785588", "126463925310", "925620561780", "6789081127137", "49887667836693", "367189338574827", "2706613194698783", "19977334121704344", "147628150691297100" ]
[ "nonn" ]
7
0
3
[ "A362078", "A362085", "A362088" ]
null
Seiichi Manyama, Apr 08 2023
2023-04-08T11:06:40
oeisdata/seq/A362/A362088.seq
bcc27d6b540bb9b50181bfc32764109d
A362089
The base-3 expansion of a(n) is obtained by inserting a zero before each nonzero digit of the base-3 expansion of n.
[ "0", "1", "2", "3", "10", "11", "6", "19", "20", "9", "28", "29", "30", "91", "92", "33", "100", "101", "18", "55", "56", "57", "172", "173", "60", "181", "182", "27", "82", "83", "84", "253", "254", "87", "262", "263", "90", "271", "272", "273", "820", "821", "276", "829", "830", "99", "298", "299", "300", "901", "902", "303", "910", "911", "54", "163", "164", "165", "496" ]
[ "nonn", "base" ]
15
0
3
[ "A007089", "A048678", "A328727", "A362089", "A362090" ]
null
Rémy Sigrist, Apr 08 2023
2023-04-13T08:30:07
oeisdata/seq/A362/A362089.seq
1941d2040f76700ce6d0ae03a00e34e3
A362090
a(n) = A328749(A362089(n)).
[ "0", "-1", "1", "-2", "-5", "-3", "2", "3", "5", "-4", "-9", "-7", "-10", "-21", "-19", "-6", "-13", "-11", "4", "7", "9", "6", "11", "13", "10", "19", "21", "-8", "-17", "-15", "-18", "-37", "-35", "-14", "-29", "-27", "-20", "-41", "-39", "-42", "-85", "-83", "-38", "-77", "-75", "-12", "-25", "-23", "-26", "-53", "-51", "-22", "-45", "-43", "8", "15", "17", "14", "27", "29" ]
[ "sign", "base" ]
16
0
4
[ "A328728", "A328749", "A362089", "A362090" ]
null
Rémy Sigrist, Apr 08 2023
2023-04-15T08:24:23
oeisdata/seq/A362/A362090.seq
e4ff29fcfe6270aa70d8f599af2a241e
A362091
Expansion of odd function A(x) = Sum_{n>=1} a(n)*x^(2*n-1)/(2*n-1)! = x*Product_{odd primes p} (1 + (-x^2)^((p - 1)/2) / p).
[ "1", "-2", "24", "-1056", "17280", "-4769280", "727004160", "-57306009600", "33169902796800", "-11274754292121600", "1817252280926208000", "-1974735167227232256000", "486820041614032896000000", "-213735278298669436108800000", "514712400692128229464473600000", "-451255060337978567952433152000000", "237712213428431126597575114752000000" ]
[ "sign" ]
12
1
2
null
null
Paul D. Hanna, Apr 08 2023
2023-04-11T08:41:18
oeisdata/seq/A362/A362091.seq
81f840dfa3b6c0ba57b7a1e01bdf5d3d
A362092
Write the English name of a(n); concatenate the ranks of its letters in the alphabet; divide the concatenation by a(n); the result is an integer.
[ "1", "5", "25", "45", "46", "54", "111", "195", "295", "355", "3325", "4245", "7225", "11933", "115075", "359789", "761028", "962043", "1013845", "2281588", "3940925", "14387257", "90130513", "265601357", "490538725", "904759878", "1140058418", "1259245865", "1490515166", "1619293314" ]
[ "nonn", "base", "word", "more" ]
24
1
2
[ "A362065", "A362092" ]
null
Eric Angelini, Apr 08 2023
2024-10-17T09:59:41
oeisdata/seq/A362/A362092.seq
617efaffd281aee338ec945d471ca0bf
A362093
a(1) = 1, a(2) = 2; for n > 2, a(n) is the least positive integer not occurring earlier such that a(n) shares no digit with a(n-1) - a(n-2).
[ "1", "2", "3", "4", "5", "6", "7", "8", "9", "20", "22", "10", "30", "11", "23", "33", "24", "12", "34", "13", "35", "14", "36", "15", "37", "16", "38", "17", "39", "18", "40", "19", "43", "31", "44", "25", "26", "27", "28", "29", "32", "21", "42", "45", "41", "50", "46", "51", "47", "52", "48", "53", "49", "55", "54", "56", "57", "58", "59", "60", "62", "61", "63", "64", "65", "66", "67", "68", "69", "70", "72", "71", "73", "74", "75", "76", "77" ]
[ "nonn" ]
12
1
2
[ "A067581", "A297065", "A342441", "A342442", "A362075", "A362076", "A362093" ]
null
Scott R. Shannon, Apr 08 2023
2023-04-09T21:52:22
oeisdata/seq/A362/A362093.seq
2db626ba9ee589c6a5317a060eadef20
A362094
Number of connected supports with n standard pieces for standard puzzles of the shape 2 X k, up to support-reduction. (See comments and reference for precise definition.)
[ "6", "37", "259", "1391", "5460" ]
[ "nonn", "more" ]
24
1
1
[ "A196265", "A362094" ]
null
Jodi Spitz, Apr 08 2023
2023-08-05T23:34:28
oeisdata/seq/A362/A362094.seq
f4b8ba8d94c6667b95d4a6ca62abcec0
A362095
Records in A361511.
[ "1", "2", "3", "4", "5", "6", "7", "8", "11", "13", "15", "17", "19", "21", "24", "29", "35", "36", "44", "45", "51", "60", "62", "64", "65", "68", "74", "80", "83", "84", "89", "90", "92", "93", "94", "97", "100", "109", "113", "121", "123", "135", "143", "149", "151", "152", "157", "159", "165", "166", "167", "178", "179", "182", "189", "197", "199", "201", "206", "209", "213", "215", "220", "221", "222", "226", "228", "234", "236", "238", "240", "244", "246", "256", "268", "272", "276", "282", "283" ]
[ "nonn" ]
10
1
2
[ "A361511", "A361516", "A362095" ]
null
N. J. A. Sloane, Apr 08 2023
2023-04-09T02:02:24
oeisdata/seq/A362/A362095.seq
6f9b6bcc5907bf5e3ced578b6ee4e097
A362096
Numbers k such that 3^k starts with k.
[ "185", "225", "286", "182822", "8547303", "102886695", "472597369", "7627072026" ]
[ "nonn", "base", "more", "changed" ]
8
1
1
[ "A100129", "A320930", "A362096", "A362097", "A362101" ]
null
N. J. A. Sloane, Apr 10 2023, based on an email from Keith F. Lynch
2025-07-09T05:00:44
oeisdata/seq/A362/A362096.seq
e7bec21d11f47562f6ed2fdaeec3f705
A362097
Numbers k such that 5^k starts with k.
[ "2", "7", "19", "67", "602", "1189", "3028", "48076", "5778508", "7409478", "269801494" ]
[ "nonn", "base", "more", "changed" ]
6
1
1
[ "A100129", "A320930", "A362096", "A362097", "A362101" ]
null
N. J. A. Sloane, Apr 10 2023, based on an email from Keith F. Lynch
2025-07-09T05:00:51
oeisdata/seq/A362/A362097.seq
d21685d4b5a1ef40baf05bed70382dc9
A362098
Numbers k such that 6^k starts with k.
[ "13", "21", "197", "1991", "1022859", "1346570", "1351632", "15919007", "22440783", "415638567", "9345895862" ]
[ "nonn", "base", "more", "changed" ]
6
1
1
[ "A100129", "A320930", "A362096", "A362097", "A362098", "A362101" ]
null
N. J. A. Sloane, Apr 10 2023, based on an email from Keith F. Lynch
2025-07-09T05:00:57
oeisdata/seq/A362/A362098.seq
77895754cbecf6c593224833835f51c2
A362099
Numbers k such that 7^k starts with k.
[ "3", "5560", "14350", "76972", "239123", "2067170", "19320438", "748459491", "1273027965", "6925699528", "7758433284", "8408679517" ]
[ "nonn", "base", "more", "changed" ]
6
1
1
[ "A100129", "A320930", "A362096", "A362097", "A362099", "A362101" ]
null
N. J. A. Sloane, Apr 10 2023, based on an email from Keith F. Lynch
2025-07-09T05:01:04
oeisdata/seq/A362/A362099.seq
81fc96d2223b7cd1943b9b0b12f4bdbf
A362100
Numbers k such that 8^k starts with k.
[ "4", "10", "18", "652", "1299", "8225", "12949", "56230", "156277", "3227298", "144225157" ]
[ "nonn", "base", "more", "changed" ]
10
1
1
[ "A100129", "A320930", "A362096", "A362097", "A362100", "A362101" ]
null
N. J. A. Sloane, Apr 10 2023, based on an email from Keith F. Lynch
2025-07-09T05:01:11
oeisdata/seq/A362/A362100.seq
e403aa2117a229b59b92735c5bbdc65f