Datasets:
christopher
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oeis

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1999-12-11 03:00:00
2025-04-25 01:21:50
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A360301
Smallest exclusionary square (A029783) with exactly n distinct prime factors.
[ "2", "18", "84", "858", "31122", "3383898", "188841114", "68588585868", "440400004044", "7722272777722272" ]
[ "nonn", "base", "more" ]
33
0
5
[ "A029783", "A060319", "A083002", "A359960", "A359961", "A360301" ]
null
Bernard Schott, Feb 02 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360301.seq
a7101a4cbf70d43211c2706ad5af911c
A360302
T(n,k) is the position of the set encoded in the binary expansion of k within the shortlex order for the powerset of [n]; triangle T(n,k), n>=0, 0<=k<=2^n-1, read by rows.
[ "0", "0", "1", "0", "1", "2", "3", "0", "1", "2", "4", "3", "5", "6", "7", "0", "1", "2", "5", "3", "6", "8", "11", "4", "7", "9", "12", "10", "13", "14", "15", "0", "1", "2", "6", "3", "7", "10", "16", "4", "8", "11", "17", "13", "19", "22", "26", "5", "9", "12", "18", "14", "20", "23", "27", "15", "21", "24", "28", "25", "29", "30", "31", "0", "1", "2", "7", "3", "8", "12", "22", "4", "9", "13", "23", "16" ]
[ "nonn", "look", "tabf" ]
39
0
5
[ "A000004", "A000079", "A000217", "A000225", "A006516", "A057427", "A082185", "A193360", "A359941", "A360302" ]
null
Alois P. Heinz, Feb 03 2023
2023-02-06T10:18:31
oeisdata/seq/A360/A360302.seq
f61c6c615dcced1f4613e24beec612a3
A360303
a(n) = Sum_{k=1..floor(sqrt(n))} 2^floor(n/k-k).
[ "0", "1", "2", "4", "9", "17", "34", "66", "132", "261", "521", "1033", "2066", "4114", "8226", "16420", "32837", "65605", "131209", "262281", "524554", "1048850", "2097682", "4194834", "8389668", "16778277", "33556517", "67110981", "134221897", "268439625", "536879242", "1073750154", "2147500178", "4294983954", "8589967634", "17179902228", "34359804453" ]
[ "nonn", "base" ]
22
0
5
[ "A034729", "A360303" ]
null
Luc Rousseau, Feb 02 2023
2023-02-18T21:18:44
oeisdata/seq/A360/A360303.seq
49932fddc8e4061c11fb11fe259f3637
A360304
Expansion of 1/sqrt(1 - 4*1*x/(1 - 4*2*x/(1 - 4*3*x/(1 - 4*4*x/(1 - 4*5*x/(1 - ...)))))), a continued fraction.
[ "1", "2", "22", "436", "12326", "449596", "20023548", "1051713576", "63605620998", "4352044825708", "332356758306836", "28024237688823640", "2586049127787383644", "259239588167116230872", "28054383271233786941752", "3259794623403122252542800", "404791956361004000479206342" ]
[ "nonn" ]
9
0
5
[ "A001147", "A008586", "A360304" ]
null
Seiichi Manyama, Feb 02 2023
2023-02-07T08:36:19
oeisdata/seq/A360/A360304.seq
00950bcef44c7fcd2af58d950928c326
A360305
Lexicographically earliest sequence of integers > 1 such that the products Product_{i = 1+k*2^e..(k+1)*2^e} a(i) with k, e >= 0 are all distinct.
[ "2", "3", "4", "5", "7", "8", "9", "10", "11", "12", "13", "14", "15", "16", "17", "18", "19", "21", "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", "57", "58", "59", "60", "61", "62", "63", "64", "65", "66", "67", "68", "69", "70", "71" ]
[ "nonn" ]
48
0
5
[ "A249407", "A360305", "A361144", "A361234" ]
null
Rémy Sigrist, Mar 03 2023
2023-03-07T07:42:23
oeisdata/seq/A360/A360305.seq
c88f7a1db221b437a9f99d06ff89bc88
A360306
a(n) is the smallest positive integer which can be represented as the sum of n distinct nonzero fourth powers in exactly n ways, or -1 if no such integer exists.
[ "1", "635318657", "811538", "300834", "185299", "138595", "143651", "154292", "197748", "225733", "291269", "374790", "474071", "586056", "715192", "857513", "1057689", "1330554", "1602250", "1919146", "2329547", "2786843", "3246204", "3899260", "4642700", "5378141", "6377822", "7342638", "8527103", "9787839", "11241455", "12978656" ]
[ "nonn" ]
16
0
5
[ "A000583", "A146756", "A350241", "A350270", "A360306" ]
null
Ilya Gutkovskiy, Feb 02 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360306.seq
174cae98207ab19af18d889074b608d8
A360307
Inverse of sequence A163252 considered as a permutation of the nonnegative integers.
[ "0", "1", "3", "2", "5", "6", "4", "7", "11", "10", "12", "9", "14", "15", "13", "8", "19", "18", "20", "21", "24", "17", "23", "22", "26", "27", "29", "28", "25", "16", "30", "31", "37", "36", "38", "35", "40", "41", "39", "34", "44", "43", "45", "46", "99", "42", "100", "33", "50", "49", "51", "48", "53", "54", "52", "55", "103", "104", "102", "47", "106", "105", "101", "32", "61", "60" ]
[ "nonn" ]
16
0
5
[ "A001477", "A003188", "A006068", "A163252", "A360307" ]
null
Alois P. Heinz, Feb 02 2023
2023-02-04T15:39:57
oeisdata/seq/A360/A360307.seq
015e0e375da4f2cbc01394cbc0e8e67a
A360308
Number T(n,k) of permutations of [n] whose descent set is the k-th finite subset of positive integers in Gray order; triangle T(n,k), n>=0, 0<=k<=ceiling(2^(n-1))-1, read by rows.
[ "1", "1", "1", "1", "1", "2", "1", "2", "1", "3", "3", "5", "3", "1", "5", "3", "1", "4", "6", "9", "11", "4", "16", "9", "6", "9", "1", "4", "16", "9", "11", "4", "1", "5", "10", "14", "26", "10", "35", "19", "26", "40", "5", "19", "61", "35", "40", "14", "10", "26", "19", "35", "5", "1", "14", "10", "35", "61", "14", "40", "40", "26", "19", "5", "1", "6", "15", "20", "50", "20", "64", "34", "71", "111" ]
[ "nonn", "look", "tabf" ]
52
0
5
[ "A000142", "A003188", "A006068", "A011782", "A060351", "A227738", "A335845", "A357611", "A360287", "A360308" ]
null
Alois P. Heinz, Feb 03 2023
2024-12-22T16:25:19
oeisdata/seq/A360/A360308.seq
0fe198a553886bd80d88b34770894b03
A360309
a(n) = Sum_{k=0..floor(n/3)} binomial(n-1-2*k,n-3*k) * binomial(2*k,k).
[ "1", "0", "0", "2", "2", "2", "8", "14", "20", "46", "92", "158", "314", "630", "1176", "2274", "4498", "8674", "16804", "32990", "64358", "125414", "245832", "481674", "942912", "1850122", "3633220", "7133730", "14020694", "27578954", "54261912", "106819006", "210411028", "414619486", "817344908", "1611978734", "3180333830", "6276743430" ]
[ "nonn" ]
15
0
5
[ "A026585", "A360291", "A360309", "A360310", "A360314" ]
null
Seiichi Manyama, Feb 03 2023
2023-02-18T02:26:54
oeisdata/seq/A360/A360309.seq
e66809c11fb66db75440420af4973a7c
A360310
a(n) = Sum_{k=0..floor(n/4)} binomial(n-1-3*k,n-4*k) * binomial(2*k,k).
[ "1", "0", "0", "0", "2", "2", "2", "2", "8", "14", "20", "26", "52", "98", "164", "250", "426", "762", "1328", "2194", "3682", "6366", "11072", "18878", "32038", "54906", "94860", "163226", "279634", "479806", "826776", "1425542", "2454020", "4223170", "7279164", "12560466", "21671314", "37381714", "64512676", "111414042" ]
[ "nonn" ]
12
0
5
[ "A026585", "A360292", "A360309", "A360310", "A360315" ]
null
Seiichi Manyama, Feb 03 2023
2023-02-03T08:17:42
oeisdata/seq/A360/A360310.seq
18235279f0af78c0d65ea9ee3aab9201
A360311
The sum of the primes prime(n) + prime(n+1) + ... + prime(n+k) in A360297.
[ "5", "26", "124", "318", "1703", "1133", "2086", "7641", "10912775", "60927", "8764", "184252585101", "144329", "474", "1090" ]
[ "nonn", "more" ]
12
0
5
[ "A000040", "A007504", "A332542", "A332580", "A360297", "A360311", "A360312" ]
null
Scott R. Shannon, Feb 03 2023
2023-02-07T06:02:31
oeisdata/seq/A360/A360311.seq
c69d69e804f712dea948da6d794a3ede
A360312
The dividing prime prime(n+k+1) in A360297.
[ "5", "13", "31", "53", "131", "103", "149", "283", "14081", "883", "313", "2281229", "1429", "79", "109" ]
[ "nonn", "more" ]
11
0
5
[ "A000040", "A007504", "A332542", "A332580", "A360297", "A360311", "A360312" ]
null
Scott R. Shannon, Feb 03 2023
2023-02-07T06:02:26
oeisdata/seq/A360/A360312.seq
daef11d6e365c899e11673b14145c283
A360313
a(n) = Sum_{k=0..floor(n/2)} (-1)^k * binomial(n-1-k,n-2*k) * binomial(2*k,k).
[ "1", "0", "-2", "-2", "4", "10", "-4", "-38", "-22", "114", "188", "-234", "-914", "-18", "3376", "3338", "-9416", "-21718", "14416", "96338", "39274", "-328558", "-471344", "795398", "2586064", "-517690", "-10453424", "-8272658", "32186818", "63596494", "-61876584", "-307070174", "-62655330", "1129250706", "1356328788" ]
[ "sign" ]
13
0
5
[ "A026585", "A360293", "A360313", "A360314", "A360315" ]
null
Seiichi Manyama, Feb 03 2023
2024-09-20T15:35:54
oeisdata/seq/A360/A360313.seq
bb945b9c295101c29964d85f545af2da
A360314
a(n) = Sum_{k=0..floor(n/3)} (-1)^k * binomial(n-1-2*k,n-3*k) * binomial(2*k,k).
[ "1", "0", "0", "-2", "-2", "-2", "4", "10", "16", "2", "-32", "-86", "-90", "26", "332", "646", "534", "-690", "-3040", "-4934", "-2270", "9066", "27260", "35198", "532", "-101946", "-232752", "-230730", "158986", "1039078", "1899364", "1265370", "-2714160", "-9926158", "-14625008", "-4036358", "34062386", "89744810", "104123084" ]
[ "sign" ]
10
0
5
[ "A360294", "A360309", "A360313", "A360314", "A360315" ]
null
Seiichi Manyama, Feb 03 2023
2023-02-03T08:17:48
oeisdata/seq/A360/A360314.seq
4205669a1ceb243e2608d9060abd4eda
A360315
a(n) = Sum_{k=0..floor(n/4)} (-1)^k * binomial(n-1-3*k,n-4*k) * binomial(2*k,k).
[ "1", "0", "0", "0", "-2", "-2", "-2", "-2", "4", "10", "16", "22", "8", "-26", "-80", "-154", "-178", "-82", "204", "750", "1374", "1642", "868", "-1886", "-6886", "-12802", "-15784", "-8538", "17166", "64554", "122476", "152602", "86056", "-157642", "-616456", "-1183666", "-1493402", "-878250", "1468080" ]
[ "sign" ]
10
0
5
[ "A360295", "A360310", "A360313", "A360314", "A360315" ]
null
Seiichi Manyama, Feb 03 2023
2023-02-03T08:18:19
oeisdata/seq/A360/A360315.seq
0c1c9020c699ebf03cad09cd6bb1a636
A360316
a(n) is the smallest k such that k!'s prime(n)-smooth part is less than its prime(n+1)-rough part.
[ "3", "21", "47", "111", "186", "293", "437", "619", "830", "1070", "1358", "1662", "2019", "2428", "2903", "3373", "3908", "4493", "5113", "5791", "6506", "7325", "8150", "9043", "9942", "10929", "11983", "13089", "14303", "15591", "16845", "18143", "19535", "21003", "22488", "24046", "25693", "27333", "29119", "30905", "32741", "34764", "36734" ]
[ "nonn" ]
7
0
5
[ "A000142", "A360316" ]
null
Jon E. Schoenfield, Feb 03 2023
2023-02-03T08:16:51
oeisdata/seq/A360/A360316.seq
aca6ebf4d8e649037b6f8a676036b745
A360317
a(n) = Sum_{k=0..n} 2^(n-k) * binomial(n-1,n-k) * binomial(2*k,k).
[ "1", "2", "10", "52", "278", "1516", "8388", "46920", "264678", "1503052", "8581676", "49215256", "283297660", "1635904376", "9472214344", "54975423504", "319729353606", "1862896455180", "10871759717916", "63539265366264", "371837338366740", "2178604586281128", "12778264475444280", "75022726995053808" ]
[ "nonn", "easy" ]
19
0
5
[ "A005573", "A063886", "A085362", "A085363", "A360317", "A360318", "A360319", "A360321", "A360322" ]
null
Seiichi Manyama, Feb 03 2023
2023-02-04T10:19:16
oeisdata/seq/A360/A360317.seq
cc9d570a9a790de9ea696cfddbfe92ab
A360318
a(n) = Sum_{k=0..n} 3^(n-k) * binomial(n-1,n-k) * binomial(2*k,k).
[ "1", "2", "12", "74", "466", "2982", "19320", "126390", "833220", "5527190", "36852052", "246751854", "1658106394", "11176100138", "75528743352", "511600414554", "3472363279170", "23609924743590", "160788499672020", "1096566516149790", "7488135911236806", "51193972101241362", "350368409215623192" ]
[ "nonn", "easy" ]
16
0
5
[ "A063886", "A085362", "A085364", "A122898", "A360317", "A360318", "A360319", "A360321", "A360322" ]
null
Seiichi Manyama, Feb 03 2023
2023-02-04T10:19:25
oeisdata/seq/A360/A360318.seq
f29fd927afd78a421f4152c847b7389f
A360319
a(n) = Sum_{k=0..n} 4^(n-k) * binomial(n-1,n-k) * binomial(2*k,k).
[ "1", "2", "14", "100", "726", "5340", "39692", "297544", "2245990", "17050796", "130061412", "996078456", "7654571772", "58995989400", "455857911768", "3530234227344", "27392392806534", "212918339726028", "1657570714812020", "12922254685161112", "100867892292766612" ]
[ "nonn", "easy" ]
15
0
5
[ "A063886", "A085362", "A360317", "A360318", "A360319", "A360321", "A360322" ]
null
Seiichi Manyama, Feb 03 2023
2023-02-04T10:19:49
oeisdata/seq/A360/A360319.seq
61bb60c8d9a62431cb72066e4304265c
A360320
Numbers k such that the total number of consecutive runs of zeros of length m in every binary expansion from 1 to k, is even, for all m != floor(log_2(k)).
[ "1", "2", "3", "5", "11", "20", "21", "22", "42", "43", "82", "85", "162", "171", "322", "340", "341", "342", "642", "682", "683", "1282", "1362", "1365", "2562", "2722", "2731", "5122", "5442", "5460", "5461", "5462", "10242", "10882", "10922", "10923", "20482", "21762", "21842", "21845", "40962", "43522", "43682", "43691", "81922", "87042", "87362" ]
[ "nonn" ]
17
0
5
[ "A291633", "A360320" ]
null
Tyler Busby, Feb 03 2023
2023-02-07T20:05:03
oeisdata/seq/A360/A360320.seq
265be2339852876e06dce5c7f900d682
A360321
a(n) = Sum_{k=0..n} 5^(n-k) * binomial(n-1,n-k) * binomial(2*k,k).
[ "1", "2", "16", "130", "1070", "8902", "74724", "631902", "5376840", "45990070", "395106656", "3407196982", "29477061166", "255733684010", "2224098916300", "19384492018770", "169270624419390", "1480625235653670", "12970844831940000", "113785067475668550", "999400688480388570" ]
[ "nonn", "easy" ]
14
0
5
[ "A063886", "A085362", "A360317", "A360318", "A360319", "A360321", "A360322" ]
null
Seiichi Manyama, Feb 03 2023
2023-02-04T10:19:33
oeisdata/seq/A360/A360321.seq
1ae658ef1c3527a3de9e4c64d8f31f53
A360322
a(n) = Sum_{k=0..n} (-5)^(n-k) * binomial(n-1,n-k) * binomial(2*k,k).
[ "1", "2", "-4", "10", "-30", "102", "-376", "1462", "-5900", "24470", "-103644", "446382", "-1948854", "8605290", "-38362200", "172423770", "-780496110", "3554991270", "-16281079900", "74927379550", "-346328465930", "1607078948690", "-7483861047480", "34963419415650", "-163825013554400", "769694347677002" ]
[ "sign", "easy" ]
14
0
5
[ "A007317", "A063886", "A085362", "A360317", "A360318", "A360319", "A360321", "A360322" ]
null
Seiichi Manyama, Feb 03 2023
2023-02-04T10:18:58
oeisdata/seq/A360/A360322.seq
384bc5705db3bdc7752771776932ef39
A360323
a(n) is the number of solutions to gcd(a^2 + b^2, p) = 1 where p is the n-th prime and 0 <= a,b <= p-1.
[ "2", "8", "16", "48", "120", "144", "256", "360", "528", "784", "960", "1296", "1600", "1848", "2208", "2704", "3480", "3600", "4488", "5040", "5184", "6240", "6888", "7744", "9216", "10000", "10608", "11448", "11664", "12544", "16128", "17160", "18496", "19320", "21904", "22800", "24336", "26568", "27888", "29584", "32040", "32400", "36480" ]
[ "nonn" ]
25
0
5
[ "A000040", "A079458", "A360323" ]
null
Paavan Mayurkumar Parekh and Param Mayurkumar Parekh, Feb 03 2023
2023-02-16T05:30:58
oeisdata/seq/A360/A360323.seq
431ba3db27567dcd27c823e022579b58
A360324
Numbers k such that k divides Sum_{i=1..k} 10^(1 + floor(log_10(p(i)))) - 1 - p(i), where p(i) is the i-th prime number.
[ "1", "13", "313", "1359", "245895", "131186351", "468729047", "1830140937" ]
[ "nonn", "more" ]
27
0
5
[ "A000040", "A045345", "A055642", "A061601", "A360324" ]
null
Ctibor O. Zizka, Feb 04 2023
2023-02-04T20:47:27
oeisdata/seq/A360/A360324.seq
fbb655eeed68d1f57661673712461c49
A360325
a(n) is the largest divisor of n that has only prime-indexed prime factors.
[ "1", "1", "3", "1", "5", "3", "1", "1", "9", "5", "11", "3", "1", "1", "15", "1", "17", "9", "1", "5", "3", "11", "1", "3", "25", "1", "27", "1", "1", "15", "31", "1", "33", "17", "5", "9", "1", "1", "3", "5", "41", "3", "1", "11", "45", "1", "1", "3", "1", "25", "51", "1", "1", "27", "55", "1", "3", "1", "59", "15", "1", "31", "9", "1", "5", "33", "67", "17", "3", "5", "1", "9", "1", "1", "75", "1", "11", "3", "1" ]
[ "nonn", "mult" ]
11
0
5
[ "A006450", "A076610", "A320628", "A360325", "A360326", "A360327", "A360329" ]
null
Amiram Eldar, Feb 03 2023
2023-02-04T14:14:53
oeisdata/seq/A360/A360325.seq
b3422a7a2c25a154bc0e343758e59048
A360326
a(n) is the number of divisors of n that have only prime-indexed prime factors.
[ "1", "1", "2", "1", "2", "2", "1", "1", "3", "2", "2", "2", "1", "1", "4", "1", "2", "3", "1", "2", "2", "2", "1", "2", "3", "1", "4", "1", "1", "4", "2", "1", "4", "2", "2", "3", "1", "1", "2", "2", "2", "2", "1", "2", "6", "1", "1", "2", "1", "3", "4", "1", "1", "4", "4", "1", "2", "1", "2", "4", "1", "2", "3", "1", "2", "4", "2", "2", "2", "2", "1", "3", "1", "1", "6", "1", "2", "2", "1", "2", "5", "2", "2", "2", "4", "1", "2" ]
[ "nonn", "mult" ]
16
0
5
[ "A000005", "A006450", "A076610", "A320628", "A322976", "A360325", "A360326", "A360327" ]
null
Amiram Eldar, Feb 03 2023
2023-02-04T14:14:44
oeisdata/seq/A360/A360326.seq
a233074c9f46de5904c73b8f65040fe8
A360327
a(n) is the sum of divisors of n that have only prime-indexed prime factors.
[ "1", "1", "4", "1", "6", "4", "1", "1", "13", "6", "12", "4", "1", "1", "24", "1", "18", "13", "1", "6", "4", "12", "1", "4", "31", "1", "40", "1", "1", "24", "32", "1", "48", "18", "6", "13", "1", "1", "4", "6", "42", "4", "1", "12", "78", "1", "1", "4", "1", "31", "72", "1", "1", "40", "72", "1", "4", "1", "60", "24", "1", "32", "13", "1", "6", "48", "68", "18", "4", "6", "1", "13", "1", "1", "124", "1", "12" ]
[ "nonn", "mult" ]
9
0
5
[ "A000203", "A006450", "A076610", "A320628", "A360325", "A360326", "A360327" ]
null
Amiram Eldar, Feb 03 2023
2023-02-04T14:14:40
oeisdata/seq/A360/A360327.seq
edb4bbe1bd7ca88d7c97f44f84741ddc
A360328
Numbers k such that A360327(k) > 2*k.
[ "7425", "8415", "22275", "25245", "37125", "42075", "46035", "66825", "75735", "76725", "81675", "92565", "101475", "111375", "126225", "138105", "143055", "182655", "185625", "200475", "210375", "227205", "230175", "245025", "260865", "277695", "304425", "334125", "345015", "355725", "378675", "383625", "408375", "414315", "429165" ]
[ "nonn" ]
14
0
5
[ "A005101", "A005231", "A006450", "A076610", "A360327", "A360328" ]
null
Amiram Eldar, Feb 03 2023
2023-02-04T14:14:37
oeisdata/seq/A360/A360328.seq
f191b401fab67f790324ae434edf7849
A360329
a(n) is the largest divisor of n that has only prime factors that are not prime-indexed primes.
[ "1", "2", "1", "4", "1", "2", "7", "8", "1", "2", "1", "4", "13", "14", "1", "16", "1", "2", "19", "4", "7", "2", "23", "8", "1", "26", "1", "28", "29", "2", "1", "32", "1", "2", "7", "4", "37", "38", "13", "8", "1", "14", "43", "4", "1", "46", "47", "16", "49", "2", "1", "52", "53", "2", "1", "56", "19", "58", "1", "4", "61", "2", "7", "64", "13", "2", "1", "4", "23", "14", "71", "8", "73", "74", "1", "76", "7" ]
[ "nonn", "mult" ]
10
0
5
[ "A006450", "A007821", "A076610", "A302590", "A320628", "A360325", "A360329", "A360330", "A360331" ]
null
Amiram Eldar, Feb 03 2023
2023-02-04T14:14:33
oeisdata/seq/A360/A360329.seq
4689f1cc21e174361e4720218e9d2844
A360330
a(n) is the number of divisors of n that have only prime factors that are not prime-indexed primes.
[ "1", "2", "1", "3", "1", "2", "2", "4", "1", "2", "1", "3", "2", "4", "1", "5", "1", "2", "2", "3", "2", "2", "2", "4", "1", "4", "1", "6", "2", "2", "1", "6", "1", "2", "2", "3", "2", "4", "2", "4", "1", "4", "2", "3", "1", "4", "2", "5", "3", "2", "1", "6", "2", "2", "1", "8", "2", "4", "1", "3", "2", "2", "2", "7", "2", "2", "1", "3", "2", "4", "2", "4", "2", "4", "1", "6", "2", "4", "2", "5", "1", "2", "1", "6", "1", "4", "2" ]
[ "nonn", "mult" ]
17
0
5
[ "A000005", "A006450", "A007821", "A076610", "A320628", "A360329", "A360330", "A360331" ]
null
Amiram Eldar, Feb 03 2023
2023-02-04T14:14:30
oeisdata/seq/A360/A360330.seq
01323bc26cdd1ad97914e5fa45e05856
A360331
a(n) is the sum of divisors of n that have only prime factors that are not prime-indexed primes.
[ "1", "3", "1", "7", "1", "3", "8", "15", "1", "3", "1", "7", "14", "24", "1", "31", "1", "3", "20", "7", "8", "3", "24", "15", "1", "42", "1", "56", "30", "3", "1", "63", "1", "3", "8", "7", "38", "60", "14", "15", "1", "24", "44", "7", "1", "72", "48", "31", "57", "3", "1", "98", "54", "3", "1", "120", "20", "90", "1", "7", "62", "3", "8", "127", "14", "3", "1", "7", "24", "24", "72", "15", "74", "114", "1" ]
[ "nonn", "mult" ]
14
0
5
[ "A000203", "A006450", "A007821", "A076610", "A320628", "A360329", "A360330", "A360331" ]
null
Amiram Eldar, Feb 03 2023
2023-02-04T14:14:26
oeisdata/seq/A360/A360331.seq
acb0c770a4af8b62a29a20302b90d1e8
A360332
Numbers k such that A360331(k) > 2*k.
[ "56", "104", "112", "196", "208", "224", "304", "364", "368", "392", "416", "448", "464", "532", "608", "644", "728", "736", "784", "812", "832", "896", "928", "1036", "1064", "1184", "1204", "1216", "1288", "1316", "1352", "1372", "1376", "1456", "1472", "1484", "1504", "1568", "1624", "1664", "1696", "1708", "1792", "1856", "1952", "1976", "1988", "2044" ]
[ "nonn" ]
11
0
5
[ "A005101", "A007821", "A320628", "A360331", "A360332" ]
null
Amiram Eldar, Feb 03 2023
2023-02-04T14:14:22
oeisdata/seq/A360/A360332.seq
1c41a71363409af29c3da0fddf5faa2e
A360333
Array read by antidiagonals downwards: A(n,m) = number of set partitions of [4n] into 4-element subsets {i, i+k, i+2k, i+3k} with 1 <= k <= m.
[ "1", "1", "1", "1", "2", "1", "1", "2", "3", "1", "1", "2", "4", "5", "1", "1", "2", "4", "7", "8", "1", "1", "2", "4", "10", "13", "13", "1", "1", "2", "4", "11", "19", "24", "21", "1", "1", "2", "4", "11", "22", "41", "44", "34", "1", "1", "2", "4", "11", "23", "48", "84", "81", "55", "1", "1", "2", "4", "11", "23", "64", "101", "180", "149", "89", "1" ]
[ "nonn", "tabl" ]
25
0
5
[ "A000012", "A000045", "A000073", "A104430", "A104443", "A337520", "A360333", "A360334", "A360335" ]
null
Peter Dolland, Feb 03 2023
2023-02-08T15:12:07
oeisdata/seq/A360/A360333.seq
289f4d5c31acac4dee7970e7666a53e5
A360334
Array read by antidiagonals downwards: A(n,m) = number of set partitions of [3n] into 3-element subsets {i, i+k, i+2k} with 1 <= k <= m.
[ "1", "1", "1", "1", "2", "1", "1", "2", "3", "1", "1", "2", "4", "5", "1", "1", "2", "5", "7", "8", "1", "1", "2", "5", "12", "13", "13", "1", "1", "2", "5", "15", "25", "24", "21", "1", "1", "2", "5", "15", "35", "56", "44", "34", "1", "1", "2", "5", "15", "46", "84", "126", "81", "55", "1", "1", "2", "5", "15", "55", "129", "211", "281", "149", "89", "1", "1", "2", "5", "15", "55", "185", "346", "537", "625", "274", "144", "1" ]
[ "nonn", "tabl" ]
23
0
5
[ "A000012", "A000045", "A000073", "A104429", "A104443", "A334250", "A360333", "A360334", "A360335" ]
null
Peter Dolland, Feb 03 2023
2023-02-08T15:14:32
oeisdata/seq/A360/A360334.seq
f286bfa61fcde9f7f7be2f40fe192f44
A360335
Array read by antidiagonals downwards: A(n,m) = number of set partitions of [2n] into 2-element subsets {i, i+k} with 1 <= k <= m.
[ "1", "1", "1", "1", "2", "1", "1", "3", "3", "1", "1", "3", "7", "5", "1", "1", "3", "12", "16", "8", "1", "1", "3", "15", "35", "38", "13", "1", "1", "3", "15", "63", "105", "89", "21", "1", "1", "3", "15", "90", "226", "329", "209", "34", "1", "1", "3", "15", "105", "417", "841", "1014", "491", "55", "1", "1", "3", "15", "105", "645", "1787", "3251", "3116", "1153", "89", "1" ]
[ "nonn", "tabl" ]
21
0
5
[ "A000012", "A000045", "A001147", "A014307", "A052967", "A104443", "A320346", "A360333", "A360334", "A360335" ]
null
Peter Dolland, Feb 03 2023
2023-02-08T15:15:33
oeisdata/seq/A360/A360335.seq
8228e20d529afc76c3f6133a1a0ee769
A360336
G.f. A(x) satisfies: [x^n] A(x)^(n+1) = [x^n] (1 + x*A(x)^(3*n))^(n+1) for n >= 0.
[ "1", "1", "6", "99", "2608", "90800", "3835458", "187727106", "10356030404", "632391914502", "42217751766193", "3053486035335835", "237640678130730437", "19794116975373467259", "1756875217029906875379", "165552614838271944281933", "16509692094523556884973416", "1737510282985845400007263814" ]
[ "nonn" ]
9
0
5
[ "A302702", "A360336", "A360337", "A360338", "A360344" ]
null
Paul D. Hanna, Feb 06 2023
2023-02-06T12:09:16
oeisdata/seq/A360/A360336.seq
98d18de86823cd1350fef431a5597a0f
A360337
G.f. A(x) satisfies: [x^n] A(x)^(n+1) = [x^n] (1 + x*A(x)^(3*n+1))^(n+1) for n >= 0.
[ "1", "1", "7", "124", "3446", "125706", "5540958", "282129207", "16148101259", "1020687876920", "70377734170699", "5246775452965364", "420104327765022458", "35937961751407922101", "3270668852260460283730", "315546031669853942486219", "32173855061751806476275665", "3457696770952845858846954590" ]
[ "nonn" ]
8
0
5
[ "A302703", "A360237", "A360336", "A360337", "A360338", "A360345" ]
null
Paul D. Hanna, Feb 06 2023
2023-02-06T12:09:03
oeisdata/seq/A360/A360337.seq
79743af244abf2462cd8148a6e483bbd
A360338
G.f. A(x) satisfies: [x^n] A(x)^(n+1) = [x^n] (1 + x*A(x)^(3*n+2))^(n+1) for n >= 0.
[ "1", "1", "8", "152", "4452", "169952", "7807014", "413004366", "24498135084", "1601156353073", "113923669100054", "8747479687135221", "720094655642863843", "63228142773931718867", "5897275794731167406208", "582262196337324537825772", "60678076577289308772410092", "6656827638797910274281675184" ]
[ "nonn" ]
8
0
5
[ "A360234", "A360336", "A360337", "A360338", "A360346" ]
null
Paul D. Hanna, Feb 06 2023
2023-02-06T12:08:43
oeisdata/seq/A360/A360338.seq
b080e61e63a4826b92ffa78defbc42fe
A360339
a(n) = coefficient of x^n*y^(2*n+1)/n! in log( Sum_{n>=0} (n + y)^(3*n) * x^n/n! ).
[ "1", "6", "99", "2832", "117405", "6423408", "438143391", "35869775616", "3430351996569", "375544727136000", "46333978359977979", "6362713275564589056", "962689133095843525749", "159139760744994666835968", "28539360163037720058960375", "5518961894002049077780611072", "1144859158421455331276272257201" ]
[ "nonn" ]
13
0
5
[ "A266482", "A359926", "A360339", "A360340", "A360341" ]
null
Paul D. Hanna, Feb 10 2023
2024-03-20T07:55:17
oeisdata/seq/A360/A360339.seq
42b0e9981d17d4ffb6c28a7d3fdb09fe
A360340
a(n) = coefficient of x^n*y^(3*n+1)/n! in log( Sum_{n>=0} (n + y)^(4*n) * x^n/n! ).
[ "1", "8", "180", "7072", "403960", "30504384", "2874754624", "325376606720", "43039201623552", "6519192650444800", "1113116854379470336", "211577875772377853952", "44316053154112985589760", "10142584803973143241244672", "2518533121682934512363520000", "674412844392686430750000676864" ]
[ "nonn" ]
14
0
5
[ "A266526", "A359926", "A360339", "A360340", "A360341" ]
null
Paul D. Hanna, Feb 10 2023
2024-03-17T06:29:16
oeisdata/seq/A360/A360340.seq
0b3c5478e95fd3a6c308bb8ef74f558e
A360341
a(n) = coefficient of x^n*y^(3*n+1)/n! in log( Sum_{n>=0} (n + y)^(5*n) * x^n/n! ).
[ "1", "10", "285", "14240", "1036225", "99774720", "11995938325", "1732780710400", "292580972777025", "56581144474976000", "12335796889894262125", "2994228576573719040000", "800930404887937807458625", "234113078032084301026816000", "74248479783538967821383793125", "25394786139647229685682094080000" ]
[ "nonn" ]
13
0
5
[ "A266484", "A360339", "A360340", "A360341" ]
null
Paul D. Hanna, Feb 10 2023
2024-03-20T07:57:54
oeisdata/seq/A360/A360341.seq
47938685b0c5deccf1d573dab22fc6c1
A360342
G.f. A(x) satisfies: [x^n] A(x)^(n+1) = [x^n] (1 + x*A(x)^(2*n-2))^(n+1) for n >= 0.
[ "1", "1", "2", "20", "316", "6686", "173379", "5255624", "180911070", "6938866748", "292678301988", "13446616806957", "668017569348751", "35678261176871802", "2038906890461704040", "124171127134721710130", "8030684434410398312840", "549848454475826567644385", "39744302449387229743134043" ]
[ "nonn" ]
7
0
5
[ "A302702", "A360231", "A360342", "A360343", "A360344", "A360345", "A360346", "A360347" ]
null
Paul D. Hanna, Feb 05 2023
2023-02-06T04:04:47
oeisdata/seq/A360/A360342.seq
75434973f7e53120ec8b6414ab9b82cb
A360343
G.f. A(x) satisfies: [x^n] A(x)^(n+1) = [x^n] (1 + x*A(x)^(2*n-1))^(n+1) for n >= 0.
[ "1", "1", "3", "31", "526", "11907", "328980", "10580531", "384937042", "15549217485", "688430225102", "33096289502982", "1715499922758709", "95339852384471586", "5655337634718941111", "356683962066445400017", "23840465113068534382248", "1683771696557415075462436", "125327912444852044066759399" ]
[ "nonn" ]
9
0
5
[ "A302702", "A360231", "A360342", "A360343", "A360344", "A360345", "A360346", "A360347" ]
null
Paul D. Hanna, Feb 05 2023
2023-02-06T04:10:27
oeisdata/seq/A360/A360343.seq
0a0d15a0af6bb9115876440fa73cb619
A360344
G.f. A(x) satisfies: [x^n] A(x)^(n+1) = [x^n] (1 + x*A(x)^(2*n))^(n+1) for n >= 0.
[ "1", "1", "4", "45", "820", "19820", "582007", "19812744", "760177656", "32275309743", "1497313010037", "75208566398988", "4062020902196139", "234638046113989856", "14432573619909530980", "941883830760366274935", "65013065172020161949992", "4733236746727327140204578", "362575149419405494321544263" ]
[ "nonn" ]
7
0
5
[ "A302702", "A302703", "A360342", "A360343", "A360344", "A360345", "A360346", "A360347" ]
null
Paul D. Hanna, Feb 05 2023
2023-02-06T04:14:43
oeisdata/seq/A360/A360344.seq
8d665bf8b123359bd477cbe131555755
A360345
G.f. A(x) satisfies: [x^n] A(x)^(n+1) = [x^n] (1 + x*A(x)^(2*n+1))^(n+1) for n >= 0.
[ "1", "1", "5", "62", "1214", "31269", "973485", "34993597", "1412846469", "62926155294", "3053566438307", "160005640085764", "8992869671470675", "539298198547460797", "34364052537634696986", "2318526571023659653665", "165143229278977841236029", "12385688813185721332861730", "975844100444710104444582984" ]
[ "nonn" ]
7
0
5
[ "A302702", "A302703", "A360342", "A360343", "A360344", "A360345", "A360346", "A360347" ]
null
Paul D. Hanna, Feb 05 2023
2023-02-06T04:17:07
oeisdata/seq/A360/A360345.seq
524e80469ae467a2fa7522b33abe2533
A360346
G.f. A(x) satisfies: [x^n] A(x)^(n+1) = [x^n] (1 + x*A(x)^(2*n+2))^(n+1) for n >= 0.
[ "1", "1", "6", "82", "1724", "47223", "1555047", "58892186", "2496826094", "116434989450", "5900151126856", "322048641354617", "18810964989814291", "1169843128503194025", "77145176721564799777", "5376524285402806746719", "394887654026596322701724", "30489608056346314234108286", "2469347798211941105406473481" ]
[ "nonn" ]
8
0
5
[ "A302703", "A360234", "A360342", "A360343", "A360344", "A360345", "A360346", "A360347" ]
null
Paul D. Hanna, Feb 05 2023
2023-02-06T04:19:12
oeisdata/seq/A360/A360346.seq
e8bfa77dcbba1fa29cf881bb85bbc0d1
A360347
G.f. A(x) satisfies: [x^n] A(x)^(n+1) = [x^n] (1 + x*A(x)^(2*n+3))^(n+1) for n >= 0.
[ "1", "1", "7", "105", "2366", "68776", "2390230", "95166058", "4228436480", "206090296497", "10887958126763", "618187895371965", "37479711430699245", "2414492049517400164", "164626564026042206780", "11841796830661101527618", "896184803460067359995232", "71189783172592806474895908" ]
[ "nonn" ]
10
0
5
[ "A302704", "A360235", "A360237", "A360342", "A360343", "A360344", "A360345", "A360346", "A360347" ]
null
Paul D. Hanna, Feb 05 2023
2023-02-06T05:04:16
oeisdata/seq/A360/A360347.seq
12cbf4a7b1295a6ab92d38ce04223756
A360348
a(n) = [y^n*x^n/n] log( Sum_{m>=0} (1 + m*y + y^2)^m * x^m ) for n >= 1.
[ "1", "9", "100", "1381", "22771", "435138", "9442049", "229265109", "6160375990", "181559237499", "5826147967201", "202295647539886", "7559401377952659", "302570522540568557", "12917629672442043340", "586047019821392518293", "28159186576616423049683", "1428679795354280280080736", "76329278834398327082152543" ]
[ "nonn" ]
10
0
5
[ "A002426", "A360238", "A360348", "A360349" ]
null
Paul D. Hanna, Feb 12 2023
2023-02-13T03:44:41
oeisdata/seq/A360/A360348.seq
b0208ee4d076debad39acb8bbeef9b35
A360349
G.f. A(x) = exp( Sum_{k>=1} A360348(k) * x^k/k ), where A360348(k) = [y^k*x^k/k] log( Sum_{m>=0} (1 + m*y + y^2)^m * x^m ) for k >= 1.
[ "1", "1", "5", "38", "391", "5077", "79535", "1458264", "30621237", "724555611", "19076629520", "553236991215", "17525729241605", "602215048797900", "22312035980459259", "886733059906749795", "37631474149766344476", "1698581174869953607957", "81257725943229600518977", "4106922637708383448243974" ]
[ "nonn" ]
10
0
5
[ "A001006", "A002426", "A186925", "A360239", "A360348", "A360349" ]
null
Paul D. Hanna, Feb 12 2023
2023-02-13T03:40:43
oeisdata/seq/A360/A360349.seq
d9bb344e3627b0675484feb44ab85936
A360350
Number of distinct circles that can be constructed from an n X n square grid of points when each pair of points is connected by a circle and the points lie at the ends of a diameter of the circle.
[ "5", "26", "79", "185", "366", "653", "1077", "1678", "2494", "3571", "4959", "6718", "8889", "11541", "14740", "18553", "23027", "28278", "34351", "41352", "49356", "58454", "68732", "80330", "93304", "107757", "123815", "141605", "161211", "182795", "206393", "232190", "260331", "290907", "324090", "360080", "398856", "440655", "485655" ]
[ "nonn" ]
22
0
5
[ "A359931", "A360350", "A360351", "A360352", "A360353", "A360354" ]
null
Scott R. Shannon, Feb 03 2023
2023-09-27T14:57:39
oeisdata/seq/A360/A360350.seq
a88e7cda2a5094e1135df2cad8b22a01
A360351
Number of vertices among all distinct circles that can be constructed from an n X n square grid of points when each pair of points is connected by a circle and the points lie at the ends of a diameter of the circle.
[ "5", "77", "1045", "6885", "30265", "104421", "309973", "800185", "1862053" ]
[ "nonn", "more" ]
17
0
5
[ "A359932", "A360350", "A360351", "A360352", "A360353", "A360354" ]
null
Scott R. Shannon, Feb 03 2023
2023-09-27T14:57:57
oeisdata/seq/A360/A360351.seq
093b9e6b7badddb3c1d9555f4cee1193
A360352
Number of regions among all distinct circles that can be constructed from an n X n square grid of points when each pair of points is connected by a circle and the points lie at the ends of a diameter of the circle.
[ "12", "168", "1536", "8904", "36880", "123468", "358036", "912776", "2105976" ]
[ "nonn", "more" ]
20
0
5
[ "A359933", "A360350", "A360351", "A360352", "A360353", "A360354" ]
null
Scott R. Shannon, Feb 04 2023
2023-09-27T14:58:16
oeisdata/seq/A360/A360352.seq
3db5403cf0b233a0992e102d4c3d6022
A360353
Number of edges among all distinct circles that can be constructed from an n X n square grid of points when each pair of points is connected by a circle and the points lie at the ends of a diameter of the circle.
[ "16", "244", "2580", "15788", "67144", "227888", "668008", "1712960", "3968028" ]
[ "nonn", "more" ]
13
0
5
[ "A359934", "A360350", "A360351", "A360352", "A360353", "A360354" ]
null
Scott R. Shannon, Feb 04 2023
2023-02-04T20:39:23
oeisdata/seq/A360/A360353.seq
3f9ac63edb3f8031cbfd0e2fab697748
A360354
Irregular table read by rows: T(n,k) is the number of k-gons, k>=2, among all distinct circles that can be constructed from an n x n square grid of points when each pair of points is connected by a circle and the points lie at the ends of a diameter of the circle.
[ "8", "4", "40", "108", "20", "92", "904", "456", "76", "0", "8", "200", "4540", "3400", "652", "100", "4", "8", "404", "17244", "15324", "3148", "628", "116", "16", "528", "54252", "54476", "11672", "2152", "332", "44", "12", "972", "151992", "158468", "37244", "7940", "1120", "224", "48", "12", "16", "1404", "379488", "404148", "103436", "20216", "3316", "600", "132", "20", "16" ]
[ "nonn", "tabf" ]
13
0
5
[ "A359935", "A360350", "A360351", "A360352", "A360353", "A360354" ]
null
Scott R. Shannon, Feb 04 2023
2023-02-04T20:39:38
oeisdata/seq/A360/A360354.seq
26e6ea8fd023ce7d73287484ffadbf99
A360355
Primitive terms of A360328: terms of A360328 with no proper divisor in A360328.
[ "7425", "8415", "46035", "76725", "101475", "182655", "355725", "669735", "1411425", "1606275", "2352375", "2891295", "3592215", "3650625", "4079295", "4861575", "5053455", "5870205", "6093225", "6636465", "6920595", "7732395", "8750835", "9120375", "9783675", "9850005", "9958905", "10155375", "11298375", "11532375", "12120075" ]
[ "nonn" ]
7
0
5
[ "A006038", "A076610", "A091191", "A249263", "A302574", "A360328", "A360355", "A360356" ]
null
Amiram Eldar, Feb 04 2023
2023-02-04T20:56:51
oeisdata/seq/A360/A360355.seq
d71ffd7160f9aa907a0d3bf7533b8103
A360356
Primitive terms of A360332: terms of A360332 with no proper divisor in A360332.
[ "56", "104", "196", "304", "364", "368", "464", "532", "644", "812", "1036", "1184", "1204", "1316", "1376", "1484", "1504", "1696", "1708", "1952", "1988", "2044", "2212", "2492", "2716", "2828", "2884", "2996", "3164", "3496", "3668", "3836", "3892", "4172", "4228", "4408", "4544", "4564", "4672", "4676", "4844", "5056", "5068", "5336", "5404", "5516" ]
[ "nonn" ]
9
0
5
[ "A006038", "A091191", "A249263", "A302574", "A320628", "A360332", "A360355", "A360356" ]
null
Amiram Eldar, Feb 04 2023
2023-02-06T01:28:09
oeisdata/seq/A360/A360356.seq
ab133dbf8ab17887ae7c3a1558a33131
A360357
Numbers k such that k and k+1 are both products of primes of nonprime index (A320628).
[ "1", "7", "13", "28", "37", "46", "52", "73", "91", "97", "103", "106", "112", "148", "151", "172", "181", "193", "196", "202", "223", "226", "232", "256", "262", "292", "298", "301", "316", "337", "343", "346", "361", "376", "388", "397", "427", "448", "457", "463", "466", "478", "487", "502", "511", "523", "541", "556", "568", "592", "601", "607", "613", "622", "631" ]
[ "nonn" ]
11
0
5
[ "A000668", "A006450", "A059305", "A320628", "A360357" ]
null
Amiram Eldar, Feb 04 2023
2023-02-06T01:28:13
oeisdata/seq/A360/A360357.seq
c638b4399703b33fde3db5d457c23750
A360358
Numbers k such that A360327(k) = A360327(k+1) > 1.
[ "714", "6603", "16115", "18920", "23154", "24530", "39984", "41360", "42789", "51204", "56814", "58190", "59619", "60995", "65229", "66605", "68034", "69410", "73644", "79304", "82059", "84249", "84864", "86240", "94655", "101375", "101694", "103070", "107304", "108680", "121374", "125510", "126125", "126939", "135128", "135354", "137329" ]
[ "nonn" ]
9
0
5
[ "A002961", "A064115", "A064125", "A293183", "A306985", "A360327", "A360357", "A360358", "A360359" ]
null
Amiram Eldar, Feb 04 2023
2023-02-06T01:28:18
oeisdata/seq/A360/A360358.seq
dcfb345319a03d496e675e79529966c9
A360359
Numbers k such that A360331(k) = A360331(k+1).
[ "69", "574", "713", "781", "2394", "2506", "5699", "5750", "6499", "6509", "8441", "19250", "26529", "32130", "36549", "38065", "41749", "41929", "43239", "48025", "50301", "53037", "53382", "59178", "59822", "61754", "66906", "67689", "70277", "71198", "81620", "94000", "100775", "119214", "124640", "127442", "134665", "153202", "154908" ]
[ "nonn" ]
10
0
5
[ "A002961", "A064115", "A064125", "A293183", "A306985", "A360331", "A360358", "A360359" ]
null
Amiram Eldar, Feb 04 2023
2023-02-06T01:27:53
oeisdata/seq/A360/A360359.seq
9246613a919a65e6cd3fefd21161d546
A360360
Given a deck of colored cards, move the top card below the bottom-most card of the same color, with one other card between them. (If the top and bottom cards have the same color, the top card is moved to the bottom of the deck; if there is no other card of the same color, the top card is moved one step down in the deck.) a(n) is the maximum, over all initial color configurations of a deck of n cards, of the length of the eventual cycle when repeatedly applying this move.
[ "1", "2", "2", "2", "4", "4", "8", "8", "16", "16", "32", "32", "64", "64" ]
[ "nonn", "more" ]
13
0
5
[ "A360360", "A360361", "A360362" ]
null
Pontus von Brömssen, Feb 04 2023
2023-02-26T20:08:49
oeisdata/seq/A360/A360360.seq
7c86bfa46d7a4511e97d99321b313e7c
A360361
Maximum length of the transient part when repeatedly applying the move described in A360360 to a deck of n colored cards.
[ "0", "0", "1", "4", "6", "11", "18", "24", "44", "58", "96", "120", "210", "254" ]
[ "nonn", "more" ]
4
0
5
[ "A360360", "A360361", "A360362" ]
null
Pontus von Brömssen, Feb 04 2023
2023-02-26T20:09:07
oeisdata/seq/A360/A360361.seq
39a812a9c5170bca06fa8fbf372f8739
A360362
Maximum number of moves required to reach an already visited color configuration, when applying the move described in A360360 to a deck of n colored cards.
[ "1", "2", "3", "6", "9", "13", "20", "30", "46", "74", "106", "152", "242", "318" ]
[ "nonn", "more" ]
4
0
5
[ "A357619", "A360360", "A360361", "A360362" ]
null
Pontus von Brömssen, Feb 04 2023
2023-02-26T20:09:17
oeisdata/seq/A360/A360362.seq
bd1ca66a45f2821984c77fa1b176064a
A360363
Lexicographically earliest sequence of distinct positive integers such that the bitwise XOR of two distinct terms are all distinct.
[ "1", "2", "3", "4", "8", "12", "16", "32", "48", "64", "85", "106", "128", "150", "171", "216", "237", "247", "256", "279", "297", "452", "512", "537", "558", "594", "640", "803", "860", "997", "1024", "1051", "1069", "1115", "1169", "1333", "1345", "1620", "1866", "2048", "2077", "2086", "2159", "2257", "2363", "2446", "2737", "2860", "3212", "3335", "3761" ]
[ "nonn", "base" ]
18
0
5
[ "A000079", "A011185", "A346298", "A360363", "A360364" ]
null
Rémy Sigrist, Feb 04 2023
2023-02-06T15:04:09
oeisdata/seq/A360/A360363.seq
bb080758c886ed44e29248ae2cdd9f28
A360364
Triangle T(n, k), n > 0, k = 1..n, read by rows; T(n, k) = A360363(n+1) XOR A360363(k) (where XOR denotes the bitwise XOR operator).
[ "3", "2", "1", "5", "6", "7", "9", "10", "11", "12", "13", "14", "15", "8", "4", "17", "18", "19", "20", "24", "28", "33", "34", "35", "36", "40", "44", "48", "49", "50", "51", "52", "56", "60", "32", "16", "65", "66", "67", "68", "72", "76", "80", "96", "112", "84", "87", "86", "81", "93", "89", "69", "117", "101", "21", "107", "104", "105", "110", "98", "102", "122", "74", "90", "42", "63" ]
[ "nonn", "base", "look", "tabl" ]
14
0
5
[ "A360363", "A360364" ]
null
Rémy Sigrist, Feb 04 2023
2023-02-06T15:04:57
oeisdata/seq/A360/A360364.seq
6a6a3b1743b05efe59bb4c71d4dffb4b
A360365
a(n) = sum of the products of the digits of the first n positive multiples of 3.
[ "3", "9", "18", "20", "25", "33", "35", "43", "57", "57", "66", "84", "111", "119", "139", "171", "176", "196", "231", "231", "249", "285", "339", "353", "388", "444", "452", "484", "540", "540", "567", "621", "702", "702", "702", "702", "703", "707", "714", "714", "720", "732", "750", "756", "771", "795", "799", "815", "843", "843", "858", "888", "933", "945", "975", "1023", "1030", "1058", "1107" ]
[ "nonn", "base" ]
37
0
5
[ "A061076", "A061077", "A061078", "A360365" ]
null
Luca Onnis, Feb 09 2023
2023-02-28T12:34:43
oeisdata/seq/A360/A360365.seq
e433873c07d17d7e0826e8a085bc4bfc
A360366
a(n) is the numerator of the rational number with the smallest denominator that lies within 1/10^n of Pi.
[ "3", "22", "22", "201", "333", "355", "355", "75948", "100798", "103993", "312689", "833719", "4272943", "5419351", "58466453", "80143857", "245850922", "1068966896", "2549491779", "6167950454", "21053343141", "21053343141", "1299139324288", "1741259530249", "3587785776203", "8958937768937", "8958937768937", "130796280757852" ]
[ "nonn", "base", "frac" ]
7
0
5
[ "A000796", "A002485", "A011557", "A360366", "A360367", "A360368", "A360369", "A360370" ]
null
Stefano Spezia, Feb 04 2023
2023-02-04T20:48:25
oeisdata/seq/A360/A360366.seq
8865dbc4a324811ae00e4190216beec7
A360367
a(n) is the denominator of the rational number with the smallest denominator that lies within 1/10^n of Pi.
[ "1", "7", "7", "64", "106", "113", "113", "24175", "32085", "33102", "99532", "265381", "1360120", "1725033", "18610450", "25510582", "78256779", "340262731", "811528438", "1963319607", "6701487259", "6701487259", "413528890451", "554260122890", "1142027682075", "2851718461558", "2851718461558", "41633749241295", "91822653867264" ]
[ "nonn", "base", "frac" ]
6
0
5
[ "A000796", "A002486", "A011557", "A360366", "A360367", "A360368", "A360369", "A360370" ]
null
Stefano Spezia, Feb 04 2023
2023-02-04T20:48:35
oeisdata/seq/A360/A360367.seq
2061352f96d2a729a11aa643f6cad723
A360368
Positive integers k such that A360366(k) = A360366(k+1).
[ "1", "5", "20", "25", "36", "57", "76", "79", "83", "100", "120", "138", "146", "155", "167", "187", "201", "210", "224", "229", "230", "309", "363", "372", "393", "401", "406", "414", "418", "423", "427", "432", "433", "434", "443", "449", "453", "460", "470", "492", "495", "499", "512", "517", "542", "571", "581", "588", "591", "601", "637", "650", "675", "676", "685" ]
[ "nonn" ]
4
0
5
[ "A000796", "A011557", "A360366", "A360367", "A360368" ]
null
Stefano Spezia, Feb 04 2023
2023-02-04T20:48:44
oeisdata/seq/A360/A360368.seq
c29667d56aa5f058f70eb7b828e5966d
A360369
Intersection of A002485 and A360366.
[ "3", "22", "333", "355", "103993", "312689", "833719", "4272943", "5419351", "80143857", "245850922", "1068966896", "2549491779", "6167950454", "21053343141", "3587785776203", "8958937768937", "428224593349304", "6134899525417045", "30246273033735921", "66627445592888887", "430010946591069243", "2646693125139304345" ]
[ "nonn", "base", "frac" ]
6
0
5
[ "A000796", "A002485", "A011557", "A360366", "A360367", "A360369", "A360370" ]
null
Stefano Spezia, Feb 04 2023
2023-02-04T20:48:53
oeisdata/seq/A360/A360369.seq
e9b47374950dae6227d88133ff5c826c
A360370
Intersection of A002486 and A360367.
[ "1", "7", "106", "113", "33102", "99532", "265381", "1360120", "1725033", "25510582", "78256779", "340262731", "811528438", "1963319607", "6701487259", "1142027682075", "2851718461558", "136308121570117", "1952799169684491", "9627687726852338", "21208174623389167", "136876735467187340", "842468587426513207" ]
[ "nonn", "base", "frac" ]
6
0
5
[ "A000796", "A002486", "A011557", "A360366", "A360367", "A360369", "A360370" ]
null
Stefano Spezia, Feb 04 2023
2023-02-04T20:49:00
oeisdata/seq/A360/A360370.seq
2a96031f5abf2b9d6d6f0d7ff03ca573
A360371
Triangle read by rows: lexicographically earliest sequence of distinct positive integers such that each column contains only multiples of the first number in that column. See example.
[ "1", "2", "3", "4", "6", "5", "7", "9", "10", "8", "11", "12", "15", "16", "13", "14", "18", "20", "24", "26", "17", "19", "21", "25", "32", "39", "34", "22", "23", "27", "30", "40", "52", "51", "44", "28", "29", "33", "35", "48", "65", "68", "66", "56", "31", "36", "42", "45", "64", "78", "85", "88", "84", "62", "37", "38", "54", "50", "72", "91", "102", "110", "112", "93", "74", "41" ]
[ "nonn", "tabl" ]
41
0
5
[ "A194982", "A360371", "A361251" ]
null
Samuel Harkness, Mar 17 2023
2023-03-30T11:51:56
oeisdata/seq/A360/A360371.seq
9ee73b00160a25f24ffbcc6964706f29
A360372
Numbers k >= 1 such that k divides Sum_{i=1..k} A007088(i).
[ "1", "11", "21", "23", "37", "461", "94101", "14958901", "16364133", "134375017", "192594821", "416095237", "4074380993", "82482257999" ]
[ "nonn", "more" ]
19
0
5
[ "A007088", "A067894", "A360372" ]
null
Ctibor O. Zizka, Feb 04 2023
2023-02-14T02:40:01
oeisdata/seq/A360/A360372.seq
9bf5ea073a96c1f3d12610797255e744
A360373
Triangular array T read by rows related to the multiplication table.
[ "1", "2", "4", "2", "3", "6", "9", "6", "3", "4", "8", "12", "16", "12", "8", "4", "5", "10", "15", "20", "25", "20", "15", "10", "5", "6", "12", "18", "24", "30", "36", "30", "24", "18", "12", "6", "7", "14", "21", "28", "35", "42", "49", "42", "35", "28", "21", "14", "7", "8", "16", "24", "32", "40", "48", "56", "64", "56", "48", "40", "32", "24", "16", "8", "9", "18", "27", "36", "45", "54", "63", "72", "81" ]
[ "nonn", "tabf" ]
12
0
5
[ "A000290", "A000578", "A003991", "A004737", "A060747", "A075362", "A272125", "A360373" ]
null
Philippe Deléham, Feb 04 2023
2023-02-04T20:48:00
oeisdata/seq/A360/A360373.seq
b81d89e514fe842a37a30b0cabd3a6b3
A360374
Indices of the nonprimitive rows of the Wythoff array (A035513); see Comments.
[ "3", "4", "5", "9", "13", "15", "16", "19", "22", "25", "28", "29", "31", "34", "35", "41", "43", "45", "47", "51", "52", "55", "56", "57", "58", "61", "67", "71", "73", "77", "78", "82", "83", "87", "89", "91", "93", "96", "97", "99", "103", "105", "106", "109", "113", "115", "119", "121", "125", "129", "130", "135", "136", "137", "139", "141", "145", "151", "153", "154" ]
[ "nonn", "easy" ]
6
0
5
[ "A000045", "A035513", "A332937", "A332938", "A360374" ]
null
Clark Kimberling, Feb 04 2023
2023-02-04T20:46:00
oeisdata/seq/A360/A360374.seq
0df3b0e770522e7a13016a10ba5180f1
A360375
Decimal expansion of the area under the curve of the reciprocal of the Hadamard gamma function from zero to infinity.
[ "3", "3", "6", "8", "2", "0", "2", "9", "2", "9", "6", "0", "7", "0", "2", "2", "7", "9", "2", "1", "6", "2", "2", "0", "5", "9", "6", "2", "2", "0", "9", "3", "6", "2", "5", "4", "8", "4", "7", "6", "1", "0", "6", "4", "8", "8", "7", "6", "1", "0", "3", "1", "2", "1", "9", "4", "7", "0", "2", "8", "7", "5", "2", "0", "2", "6", "1", "6", "1", "6", "0", "5", "1", "3", "3", "6", "1", "3", "1", "4", "4", "2", "0", "3", "0", "2", "5", "3", "9", "3", "9", "8", "4", "1", "2", "4", "4", "3", "8", "1", "3", "8", "1", "7", "2" ]
[ "nonn", "cons" ]
63
0
5
[ "A058655", "A360375" ]
null
Hywel Normington, Feb 04 2023
2023-02-20T12:26:09
oeisdata/seq/A360/A360375.seq
344c541454b212e26c5bfa61de9e1d98
A360376
a(n) = minimal nonnegative k such that prime(n) * prime(n+1) * ... * prime(n+k) + 1 is divisible by prime(n+k+1), or -1 if no such k exists.
[ "0", "99", "14", "1", "2", "73", "33", "10", "137", "277856", "1" ]
[ "nonn", "more" ]
17
0
5
[ "A000040", "A007504", "A332542", "A332580", "A360297", "A360376", "A360406" ]
null
Scott R. Shannon, Feb 04 2023
2023-02-07T14:14:01
oeisdata/seq/A360/A360376.seq
5905e958007e12ec0118b040b79abe75
A360377
a(n) = number of the row of the Wythoff array (A035513) that includes prime(n).
[ "1", "1", "1", "2", "2", "1", "7", "8", "6", "2", "8", "6", "10", "17", "2", "21", "23", "24", "26", "11", "7", "12", "20", "1", "6", "39", "40", "10", "26", "17", "49", "8", "53", "21", "14", "36", "6", "63", "40", "10", "69", "27", "7", "46", "76", "2", "81", "33", "54", "88", "1", "92", "14", "23", "38", "64", "66", "42", "27", "74", "18", "80", "84", "53", "54", "90", "94", "59", "60", "24" ]
[ "nonn", "easy" ]
8
0
5
[ "A000040", "A035513", "A332938", "A360377", "A360378", "A360379", "A360380" ]
null
Clark Kimberling, Feb 04 2023
2023-06-04T23:50:37
oeisdata/seq/A360/A360377.seq
4dc1038a93ff0eceeda8a030773bc3c4
A360378
a(n) = number of the column of the Wythoff array (A035513) that includes prime(n).
[ "2", "3", "4", "2", "3", "6", "1", "1", "2", "5", "2", "3", "2", "1", "6", "1", "1", "1", "1", "3", "4", "3", "2", "10", "5", "1", "1", "4", "2", "3", "1", "5", "1", "3", "4", "2", "6", "1", "2", "5", "1", "3", "6", "2", "1", "9", "1", "3", "2", "1", "12", "1", "5", "4", "3", "1", "2", "1", "2", "1", "3", "4", "1", "2", "1", "5", "1", "2", "1", "1", "2", "3", "3", "1", "2", "1", "1", "2", "3", "3", "5", "2", "2", "1", "2", "3" ]
[ "nonn", "easy" ]
7
0
5
[ "A000040", "A035513", "A332938", "A360377", "A360378", "A360379", "A360380" ]
null
Clark Kimberling, Feb 04 2023
2023-06-04T23:50:46
oeisdata/seq/A360/A360378.seq
106de9638e59c9f983ecd2d6f5a08b71
A360379
a(n) = number of the antidiagonal of the Wythoff array (A035513) that includes prime(n).
[ "2", "3", "4", "3", "4", "6", "7", "8", "7", "6", "9", "8", "11", "17", "7", "21", "23", "24", "26", "13", "10", "14", "21", "10", "10", "39", "40", "13", "27", "19", "49", "12", "53", "23", "17", "37", "11", "63", "41", "14", "69", "29", "12", "47", "76", "10", "81", "35", "55", "88", "12", "92", "18", "26", "40", "101", "65", "104", "67", "108", "44", "30", "118", "75", "120", "22" ]
[ "nonn", "easy" ]
12
0
5
[ "A000040", "A035513", "A332938", "A360376", "A360377", "A360378", "A360379", "A360380" ]
null
Clark Kimberling, Feb 05 2023
2023-08-27T16:54:01
oeisdata/seq/A360/A360379.seq
a06a5f598616eedfb949cd56aeb92c11
A360380
a(n) = number of the diagonal of the Wythoff array, A035513, that includes prime(n). See Comments.
[ "1", "2", "3", "0", "1", "5", "-6", "-7", "-4", "3", "-6", "-3", "-8", "-16", "4", "-20", "-22", "-23", "-25", "-8", "-3", "-9", "-18", "9", "-1", "-38", "-39", "-6", "-24", "-14", "-48", "-3", "-52", "-18", "-10", "-34", "0", "-62", "-38", "-5", "-68", "-24", "-1", "-44", "-75", "7", "-80", "-30", "-52", "-87", "11", "-91", "-9", "-19", "-35", "-100", "-62", "-103", "-64" ]
[ "easy", "sign" ]
11
0
5
[ "A000040", "A035513", "A191360", "A332938", "A360376", "A360377", "A360378", "A360379", "A360380" ]
null
Clark Kimberling, Feb 07 2023
2023-02-08T21:32:33
oeisdata/seq/A360/A360380.seq
bd33e030cd023d0306ebc3d921c73780
A360381
Generalized Somos-5 sequence a(n) = (a(n-1)*a(n-4) + a(n-2)*a(n-3))/a(n-5) = -a(-n), a(1) = 1, a(2) = -1, a(3) = a(4) = 1, a(5) = -7.
[ "0", "1", "-1", "1", "1", "-7", "8", "-1", "-57", "391", "-455", "-2729", "22352", "-175111", "47767", "8888873", "-69739671", "565353361", "3385862936", "-195345149609", "1747973613295", "-4686154246801", "-632038062613231", "34045765616463119", "-319807929289790304", "-11453004955077020783" ]
[ "sign" ]
28
0
5
[ "A006721", "A241595", "A360381" ]
null
Michael Somos, Feb 04 2023
2025-03-02T08:01:38
oeisdata/seq/A360/A360381.seq
90351b9486aac3a4cab77348ac8cf975
A360382
Least integer m whose n-th power can be written as a sum of four distinct positive n-th powers.
[ "10", "9", "13", "353", "144" ]
[ "nonn", "more" ]
22
0
5
[ "A003294", "A007666", "A039664", "A134341", "A360382" ]
null
Zhining Yang, Feb 04 2023
2023-03-04T15:27:54
oeisdata/seq/A360/A360382.seq
3638cacac8b64c6c19f448bbe4688411
A360383
prime(k) such that (k BitOR prime(k)) is prime, where BitOR is the binary bitwise OR.
[ "2", "3", "5", "7", "17", "23", "29", "31", "43", "47", "53", "59", "67", "89", "101", "103", "107", "113", "127", "131", "163", "167", "173", "181", "191", "199", "233", "257", "269", "281", "317", "331", "353", "359", "367", "373", "379", "383", "389", "397", "401", "419", "421", "439", "463", "479", "503", "509", "521", "523", "563", "577", "587", "631", "641", "719" ]
[ "nonn", "base" ]
21
0
5
[ "A000040", "A000668", "A000720", "A360383" ]
null
Najeem Ziauddin, Feb 04 2023
2023-02-22T18:27:27
oeisdata/seq/A360/A360383.seq
cefefcabc2a53cab8bd52d4062af495c
A360384
Number of permutations p of [n] satisfying |p(i+7) - p(i)| <> 7 for all 1 <= i <= n-7.
[ "1", "1", "2", "6", "24", "120", "720", "5040", "38880", "323520", "2953728", "29666304", "326584320", "3919011840", "50969640960", "705722941440", "10504707686400", "167258901086208", "2836455721721856", "51038126752727040", "971132188892405760" ]
[ "nonn", "hard", "more" ]
20
0
5
[ "A110128", "A333706", "A360384" ]
null
Seiichi Manyama, Feb 05 2023
2023-02-08T09:09:46
oeisdata/seq/A360/A360384.seq
77203e3ed1c04f4fe254ba412eb0e9be
A360385
prime(k) such that (k BitXOR prime(k)) is prime, where BitXOR is the binary bitwise XOR.
[ "2", "7", "13", "29", "37", "43", "53", "61", "71", "79", "101", "131", "151", "199", "223", "281", "293", "317", "337", "349", "383", "409", "421", "457", "521", "557", "569", "641", "683", "733", "911", "983", "1013", "1049", "1151", "1223", "1249", "1373", "1429", "1511", "1531", "1721", "1747", "1759", "1789", "1831", "1931", "2017", "2029", "2213", "2311" ]
[ "nonn", "base" ]
17
0
5
[ "A000040", "A000720", "A360385" ]
null
Najeem Ziauddin, Feb 05 2023
2023-02-23T02:00:17
oeisdata/seq/A360/A360385.seq
fd8cd47db7a700e2293deb73a1482d53
A360386
Number of permutations p of [n] satisfying |p(i+8) - p(i)| <> 8 for all 1 <= i <= n-8.
[ "1", "1", "2", "6", "24", "120", "720", "5040", "40320", "352800", "3312000", "33742080", "373948416", "4498421760", "58506854400", "819095961600", "12290021130240", "194999390208000", "3294723692298240", "59059379675381760", "1119453588069875712" ]
[ "nonn", "more", "hard" ]
18
0
5
[ "A110128", "A333706", "A360386" ]
null
Seiichi Manyama, Feb 05 2023
2023-02-08T09:17:33
oeisdata/seq/A360/A360386.seq
9f38d457358f14ad9dfc9b03a2ac8562
A360387
a(1) = 1, and for n > 1, a(n) is the number of ways that a(1..n-1) can be divided into contiguous subsequences of equal sum.
[ "1", "1", "2", "2", "2", "3", "1", "3", "1", "3", "1", "2", "2", "4", "2", "2", "4", "3", "1", "4", "3", "1", "6", "1", "1", "3", "1", "4", "4", "1", "1", "1", "1", "5", "1", "2", "5", "1", "1", "1", "3", "1", "1", "1", "2", "6", "1", "1", "2", "1", "1", "3", "1", "4", "1", "2", "1", "5", "1", "1", "1", "5", "1", "1", "1", "3", "1", "2", "2", "7", "1", "2", "2", "3", "1", "6", "1", "1", "4", "2", "2", "4", "3", "1", "3", "1", "2" ]
[ "nonn" ]
93
0
5
[ "A308746", "A360387" ]
null
Neal Gersh Tolunsky, Feb 05 2023
2023-03-04T02:09:33
oeisdata/seq/A360/A360387.seq
765122ee3daeb65a896f20292406b25e
A360388
Positive integers with binary expansion (b(1), ..., b(m)) such that Sum_{i = 1..m-k} b(i)*b(i+k) is odd for all k = 0..m-1.
[ "1", "11", "13", "2787", "3189", "36783", "37063", "43331", "47803", "49813", "56669", "58121", "62961", "9205487", "16215601", "23070091", "23248907", "27264653", "27475981", "43469906355", "55167946629", "75985591407", "80056245671", "81489328999", "83389490039", "87235136243", "88437433811", "90400346819" ]
[ "nonn", "base" ]
26
0
5
[ "A030101", "A053006", "A092246", "A360388" ]
null
Rémy Sigrist, Feb 05 2023
2023-02-07T17:53:11
oeisdata/seq/A360/A360388.seq
952d9d9bf69e79514fa86a6b39c29fa1
A360389
The orders of 4-transitive permutation groups.
[ "24", "120", "360", "720", "2520", "5040", "7920", "20160", "40320", "95040", "181440", "362880", "1814400", "3628800", "10200960", "19958400", "39916800", "239500800", "244823040", "479001600", "3113510400", "6227020800", "43589145600", "87178291200", "653837184000", "1307674368000" ]
[ "nonn" ]
11
0
5
[ "A000142", "A001228", "A001710", "A360389" ]
null
Hal M. Switkay, Feb 05 2023
2023-02-19T12:18:00
oeisdata/seq/A360/A360389.seq
0789fd41be7f81808009fd299f88964e
A360390
a(1) = 1; a(n) = -Sum_{k=2..n} k^2 * a(floor(n/k)).
[ "1", "-4", "-13", "-9", "-34", "11", "-38", "-38", "-38", "87", "-34", "-70", "-239", "6", "231", "231", "-58", "-58", "-419", "-519", "-78", "527", "-2", "-2", "-2", "843", "843", "647", "-194", "-1319", "-2280", "-2280", "-1191", "254", "1479", "1479", "110", "1915", "3436", "3436", "1755", "-450", "-2299", "-2783", "-2783", "-138", "-2347", "-2347", "-2347", "-2347", "254", "-422" ]
[ "sign" ]
59
0
5
[ "A092149", "A336276", "A359478", "A359485", "A360390", "A360658" ]
null
Seiichi Manyama, Apr 01 2023
2023-05-10T04:31:11
oeisdata/seq/A360/A360390.seq
76a302e35d451b46a38b6eb524de03bb
A360391
a(n) is the number of distinct sums of nonempty subsets of the digits of n.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "2", "2", "3", "3", "3", "3", "3", "3", "3", "3", "2", "3", "2", "3", "3", "3", "3", "3", "3", "3", "2", "3", "3", "2", "3", "3", "3", "3", "3", "3", "2", "3", "3", "3", "2", "3", "3", "3", "3", "3", "2", "3", "3", "3", "3", "2", "3", "3", "3", "3", "2", "3", "3", "3", "3", "3", "2", "3", "3", "3", "2", "3", "3", "3", "3", "3", "3", "2", "3", "3", "2", "3", "3", "3", "3", "3", "3", "3", "2" ]
[ "nonn", "base" ]
33
0
5
[ "A007953", "A043562", "A054054", "A054055", "A055642", "A360391" ]
null
Ctibor O. Zizka, Feb 06 2023
2023-02-19T18:43:54
oeisdata/seq/A360/A360391.seq
a98dd624d1a54120e8fd43b911b90276
A360392
a(n) = 2 + A026430(n); complement of A360393.
[ "3", "5", "7", "8", "10", "11", "12", "14", "16", "17", "18", "20", "21", "23", "25", "26", "28", "29", "30", "32", "33", "35", "37", "38", "39", "41", "43", "44", "46", "47", "48", "50", "52", "53", "54", "56", "57", "59", "61", "62", "63", "65", "67", "68", "70", "71", "72", "74", "75", "77", "79", "80", "82", "83", "84", "86", "88", "89", "90", "92", "93", "95", "97", "98", "100" ]
[ "nonn", "easy" ]
20
0
5
[ "A026430", "A360392", "A360393", "A360405" ]
null
Clark Kimberling, Feb 05 2023
2023-03-01T14:28:57
oeisdata/seq/A360/A360392.seq
f64698ead3f47c33f3207751ed952aaf
A360393
Complement of A360392.
[ "1", "2", "4", "6", "9", "13", "15", "19", "22", "24", "27", "31", "34", "36", "40", "42", "45", "49", "51", "55", "58", "60", "64", "66", "69", "73", "76", "78", "81", "85", "87", "91", "94", "96", "99", "103", "106", "108", "112", "114", "117", "121", "124", "126", "129", "133", "135", "139", "142", "144", "148", "150", "153", "157", "159", "163", "166", "168", "171", "175" ]
[ "nonn", "easy" ]
23
0
5
[ "A026430", "A360392", "A360393", "A360405" ]
null
Clark Kimberling, Feb 05 2023
2023-03-27T22:35:42
oeisdata/seq/A360/A360393.seq
8b2bbf5fcb6e6cc76ae2fea0b21e5777
A360394
Intersection of A026430 and A360392.
[ "3", "5", "8", "10", "12", "14", "16", "18", "21", "23", "26", "28", "30", "33", "35", "37", "39", "41", "44", "46", "48", "50", "52", "54", "57", "59", "61", "63", "65", "68", "70", "72", "75", "77", "80", "82", "84", "86", "88", "90", "93", "95", "98", "100", "102", "105", "107", "109", "111", "113", "116", "118", "120", "123", "125", "128", "130", "132", "134", "136", "138" ]
[ "nonn", "easy" ]
8
0
5
[ "A026430", "A356133", "A356850", "A360392", "A360393", "A360394", "A360405" ]
null
Clark Kimberling, Feb 05 2023
2023-02-22T08:07:40
oeisdata/seq/A360/A360394.seq
0602eb4dd53a037551f8e389fec796a4
A360395
Intersection of A026430 and A360394.
[ "1", "6", "9", "15", "19", "24", "27", "31", "36", "42", "45", "51", "55", "60", "66", "69", "73", "78", "81", "87", "91", "96", "99", "103", "108", "114", "117", "121", "126", "129", "135", "139", "144", "150", "153", "159", "163", "168", "171", "175", "180", "186", "189", "195", "199", "204", "210", "213", "217", "222", "225", "231", "235", "240", "246", "249", "255" ]
[ "nonn", "easy" ]
8
0
5
[ "A026430", "A356133", "A360392", "A360394", "A360395", "A360396", "A360405" ]
null
Clark Kimberling, Feb 05 2023
2023-02-22T08:07:43
oeisdata/seq/A360/A360395.seq
13fd0e3fdb5a9661cf1926509f298b26
A360396
Intersection of A356133 and A360392.
[ "7", "11", "17", "20", "25", "29", "32", "38", "43", "47", "53", "56", "62", "67", "71", "74", "79", "83", "89", "92", "97", "101", "104", "110", "115", "119", "122", "127", "131", "137", "140", "146", "151", "155", "161", "164", "169", "173", "176", "182", "187", "191", "197", "200", "206", "211", "215", "218", "223", "227", "233", "236", "242", "247", "251", "257" ]
[ "nonn", "easy" ]
8
0
5
[ "A026430", "A356133", "A360392", "A360395", "A360396", "A360397", "A360405" ]
null
Clark Kimberling, Feb 05 2023
2023-02-22T08:07:48
oeisdata/seq/A360/A360396.seq
179ec7256aaf116ad7fff729f65afeb9
A360397
Intersection of A356133 and A360393.
[ "2", "4", "13", "22", "34", "40", "49", "58", "64", "76", "85", "94", "106", "112", "124", "133", "142", "148", "157", "166", "178", "184", "193", "202", "208", "220", "229", "238", "244", "253", "262", "274", "280", "292", "301", "310", "322", "328", "337", "346", "352", "364", "373", "382", "394", "400", "412", "421", "430", "436", "445", "454", "466", "472" ]
[ "nonn", "easy" ]
10
0
5
[ "A026430", "A356133", "A360392", "A360396", "A360397", "A360398", "A360405" ]
null
Clark Kimberling, Feb 10 2023
2023-02-22T12:35:25
oeisdata/seq/A360/A360397.seq
de04b5adac448524dfe3eea8d8e08082
A360398
a(n) = A026430(1 + A360392(n)).
[ "5", "8", "10", "12", "15", "16", "18", "21", "24", "26", "27", "30", "31", "35", "37", "39", "42", "44", "45", "48", "50", "52", "55", "57", "59", "61", "65", "66", "69", "70", "72", "75", "78", "80", "81", "84", "86", "88", "91", "93", "95", "98", "100", "102", "105", "107", "108", "111", "113", "116", "118", "120", "123", "125", "126", "129", "132", "134", "135", "138" ]
[ "nonn", "easy" ]
4
0
5
[ "A026530", "A286355", "A286356", "A356133", "A360392", "A360393", "A360394", "A360398", "A360399", "A360402", "A360405" ]
null
Clark Kimberling, Feb 10 2023
2023-03-04T15:26:25
oeisdata/seq/A360/A360398.seq
96ae220fb5358b3bc51681a029738943
A360399
a(n) = A026430(1 + A360393(n)).
[ "1", "3", "6", "9", "14", "19", "23", "28", "33", "36", "41", "46", "51", "54", "60", "63", "68", "73", "77", "82", "87", "90", "96", "99", "103", "109", "114", "117", "121", "128", "130", "136", "141", "144", "149", "154", "159", "162", "168", "171", "175", "181", "186", "189", "194", "199", "203", "209", "213", "216", "222", "225", "230", "235", "239", "245", "249" ]
[ "nonn", "easy" ]
4
0
5
[ "A026530", "A286355", "A286356", "A356133", "A360392", "A360393", "A360394", "A360398", "A360399", "A360402", "A360405" ]
null
Clark Kimberling, Feb 10 2023
2023-03-04T15:26:35
oeisdata/seq/A360/A360399.seq
269f26368d1312ffda9a575f6aa5da27
A360400
a(n) = A356133(A360392(n)).
[ "7", "13", "20", "22", "29", "32", "34", "40", "47", "49", "53", "58", "62", "67", "74", "76", "83", "85", "89", "94", "97", "104", "110", "112", "115", "122", "127", "131", "137", "140", "142", "148", "155", "157", "161", "166", "169", "176", "182", "184", "187", "193", "200", "202", "208", "211", "215", "220", "223", "229", "236", "238", "244", "247", "251", "257" ]
[ "nonn", "easy" ]
4
0
5
[ "A026530", "A286354", "A286356", "A356133", "A360392", "A360393", "A360394", "A360398", "A360400", "A360402", "A360405" ]
null
Clark Kimberling, Mar 11 2023
2023-03-24T17:57:59
oeisdata/seq/A360/A360400.seq
b28a77c6cde5475a0fb6979506f4088a