sequence_id
stringlengths
7
7
sequence_name
stringlengths
4
573
sequence
listlengths
1
348
keywords
listlengths
1
7
score
int64
1
2.47k
offset_a
int64
-14,827
666,262,453B
offset_b
int64
0
635M
cross_references
listlengths
1
128
former_ids
listlengths
1
3
author
stringlengths
7
231
timestamp
timestamp[us]date
1999-12-11 03:00:00
2026-01-19 02:46:49
filename
stringlengths
29
29
hash
stringlengths
32
32
A392449
The number of exponential unitary (or e-unitary) divisors of n that are squares.
[ "1", "0", "0", "1", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "...
[ "nonn", "mult", "easy", "new" ]
12
1
64
[ "A010052", "A034444", "A056624", "A065803", "A068068", "A278908", "A323239", "A361255", "A384557", "A392449" ]
null
Amiram Eldar, Jan 13 2026
2026-01-17T20:14:49
oeisdata/seq/A392/A392449.seq
93bedf4a22556ff9263ced3c5238cd9f
A392450
The number of exponential unitary (or e-unitary) divisors of n that are exponentially squarefree numbers (A209061).
[ "1", "1", "1", "2", "1", "1", "1", "2", "2", "1", "1", "2", "1", "1", "1", "1", "1", "2", "1", "2", "1", "1", "1", "2", "2", "1", "2", "2", "1", "1", "1", "2", "1", "1", "1", "4", "1", "1", "1", "2", "1", "1", "1", "2", "2", "...
[ "nonn", "mult", "easy", "new" ]
8
1
4
[ "A056624", "A056671", "A209061", "A278908", "A361177", "A361255", "A366309", "A384557", "A392450" ]
null
Amiram Eldar, Jan 13 2026
2026-01-14T13:33:00
oeisdata/seq/A392/A392450.seq
29c05f65b737fa1f8bd13375ae5eb15e
A392451
The number of infinitary divisors of n that are numbers whose prime factorization exponents are all powers of 2 (A138302).
[ "1", "2", "2", "2", "2", "4", "2", "3", "2", "4", "2", "4", "2", "4", "4", "2", "2", "4", "2", "4", "4", "4", "2", "6", "2", "4", "3", "4", "2", "8", "2", "3", "4", "4", "4", "4", "2", "4", "4", "6", "2", "8", "2", "4", "4", "...
[ "nonn", "mult", "easy", "new" ]
9
1
2
[ "A000120", "A037445", "A050376", "A055076", "A077609", "A138302", "A353897", "A358260", "A360721", "A363825", "A366246", "A366247", "A366308", "A366309", "A368883", "A392451", "A392452" ]
null
Amiram Eldar, Jan 13 2026
2026-01-15T09:38:37
oeisdata/seq/A392/A392451.seq
17e2370c0e7f4a0bb51c889b27607141
A392452
The number of coreful infinitary divisors of n that are numbers whose prime factorization exponents are all powers of 2 (A138302).
[ "1", "1", "1", "1", "1", "1", "1", "2", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "2", "1", "1", "2", "1", "1", "1", "1", "2", "1", "1", "1", "1", "1", "1", "1", "2", "1", "1", "1", "1", "1", "...
[ "nonn", "mult", "easy", "new" ]
7
1
8
[ "A000120", "A037445", "A077609", "A138302", "A284318", "A307958", "A353897", "A359411", "A363329", "A367516", "A368979", "A382291", "A384557", "A392451", "A392452" ]
null
Amiram Eldar, Jan 13 2026
2026-01-15T09:38:34
oeisdata/seq/A392/A392452.seq
8c2d4df900bc97aabad3186e92dc98ff
A392454
a(n) = Sum_{k=0..floor(2*n/3)} binomial(2*k+1,2*n-3*k).
[ "1", "0", "3", "2", "10", "12", "36", "57", "138", "250", "549", "1060", "2227", "4427", "9120", "18364", "37513", "75949", "154603", "313701", "637699", "1295022", "2631240", "5344988", "10858285", "22058847", "44810670", "91034937", "184929945", "375691009...
[ "nonn", "easy", "new" ]
21
0
3
[ "A376716", "A376787", "A376788", "A392428", "A392454", "A392455", "A392456" ]
null
Seiichi Manyama, Jan 13 2026
2026-01-14T10:39:30
oeisdata/seq/A392/A392454.seq
8fd18d9bf7ef287c297f4d7a7e6b5455
A392455
a(n) = Sum_{k=0..floor(2*n/5)} binomial(2*k+1,2*n-5*k).
[ "1", "0", "0", "3", "1", "1", "10", "5", "7", "35", "22", "37", "126", "95", "174", "463", "408", "770", "1732", "1742", "3290", "6584", "7385", "13760", "25384", "31078", "56786", "99043", "129886", "232393", "390242", "539558", "946121", "1549554",...
[ "nonn", "easy", "new" ]
22
0
4
[ "A376716", "A376787", "A376788", "A392429", "A392454", "A392455", "A392456" ]
null
Seiichi Manyama, Jan 13 2026
2026-01-14T10:39:34
oeisdata/seq/A392/A392455.seq
23d4b504b47d9d77a4c13e9a96d57eb3
A392456
a(n) = Sum_{k=0..floor(2*n/7)} binomial(2*k+1,2*n-7*k).
[ "1", "0", "0", "0", "3", "1", "0", "1", "10", "5", "0", "7", "35", "21", "2", "36", "126", "84", "20", "165", "462", "331", "133", "716", "1716", "1302", "741", "3016", "6436", "5141", "3745", "12481", "24330", "20417", "17816", "51069", "92605...
[ "nonn", "easy", "new" ]
16
0
5
[ "A376716", "A376787", "A376788", "A392430", "A392454", "A392455", "A392456" ]
null
Seiichi Manyama, Jan 13 2026
2026-01-13T23:25:18
oeisdata/seq/A392/A392456.seq
569ac71fc1d061223831278fbaa65669
A392469
Primes p that set records for the minimum k in the Erdős-Straus y = k*p construction for 4/p = 1/x + 1/y + 1/z.
[ "73", "193", "1201", "2521", "3361", "33289", "90841", "144169", "167521", "225289", "361321", "915961", "954409", "1853329", "2031121", "605531161", "6736278481", "11602225441", "24707638729", "49563785881", "133050918961", "189241671529" ]
[ "nonn", "hard", "more", "new" ]
8
1
1
[ "A073101", "A075245", "A075246", "A075247", "A075248", "A192789", "A287116", "A392469" ]
null
Jeffrey H. Gold, Jan 13 2026
2026-01-18T20:56:34
oeisdata/seq/A392/A392469.seq
a1a6d1ee3844b6882b7d773823c57694
A392470
Record values of minimum k in the Erdős-Straus y = k*p construction for 4/p = 1/x + 1/y + 1/z.
[ "2", "4", "8", "12", "25", "39", "42", "48", "65", "70", "72", "76", "84", "96", "624", "816", "950", "957", "966", "990", "1484", "1833" ]
[ "nonn", "hard", "more", "new" ]
8
1
1
[ "A073101", "A075245", "A075246", "A392469", "A392470" ]
null
Jeffrey H. Gold, Jan 13 2026
2026-01-18T21:00:38
oeisdata/seq/A392/A392470.seq
25dd17e0a558a6b83346d8c7d072fbdb
A392472
Decimal expansion of the number whose continued fraction coefficients are given in A072193.
[ "4", "4", "0", "3", "3", "8", "8", "2", "6", "2", "5", "1", "9", "7", "1", "1", "3", "0", "9", "3", "3", "7", "8", "9", "3", "3", "3", "6", "6", "5", "4", "2", "9", "1", "2", "9", "4", "3", "9", "5", "5", "7", "7", "3", "5", "...
[ "cons", "nonn", "new" ]
6
0
1
[ "A072193", "A391714", "A391715", "A392472" ]
null
Jwalin Bhatt, Jan 13 2026
2026-01-15T17:55:01
oeisdata/seq/A392/A392472.seq
0fa95c0464af189b5cc2f76ea170cd2b
A392473
a(0) = 0, a(1) = 1; otherwise, a(n) = a(n-1) + a(m), where m is the greatest square < n.
[ "0", "1", "2", "3", "4", "8", "12", "16", "20", "24", "48", "72", "96", "120", "144", "168", "192", "384", "576", "768", "960", "1152", "1344", "1536", "1728", "1920", "3840", "5760", "7680", "9600", "11520", "13440", "15360", "17280", "19200", "...
[ "nonn", "new" ]
6
0
3
null
null
Robert Israel, Jan 13 2026
2026-01-18T15:07:34
oeisdata/seq/A392/A392473.seq
c787c090f655f75a5d2ceb6308a9c8e5
A392477
A modified Sisyphus function: a(n) = concatenation of (number of odd digits in n) (number of even digits in n) (number of digits in n).
[ "11", "101", "11", "101", "11", "101", "11", "101", "11", "101", "112", "202", "112", "202", "112", "202", "112", "202", "112", "202", "22", "112", "22", "112", "22", "112", "22", "112", "22", "112", "112", "202", "112", "202", "112", "202", "1...
[ "nonn", "base", "easy", "new" ]
8
0
1
[ "A055642", "A073053", "A171797", "A196563", "A196564", "A308003", "A308005", "A392220", "A392477" ]
null
Paolo Xausa, Jan 13 2026
2026-01-18T19:46:09
oeisdata/seq/A392/A392477.seq
8e8985f0766cf30ae6a8358d4af6c44e
A392481
Numbers k such that both (3*k-3)^2 + k^2 and (3*k)^2 + (k+1)^2 are prime.
[ "10", "16", "85", "169", "211", "229", "289", "349", "361", "445", "451", "484", "544", "700", "826", "835", "844", "955", "1066", "1111", "1156", "1231", "1351", "1420", "1480", "1501", "1576", "1855", "1945", "2044", "2050", "2086", "2116", "2161",...
[ "nonn", "new" ]
10
1
1
null
null
Will Gosnell and Robert Israel, Jan 13 2026
2026-01-15T17:50:15
oeisdata/seq/A392/A392481.seq
72084001f3fc541f7856f442f0fae579
A392487
a(n) = Sum_{k=0..floor((2*n+1)/5)} binomial(2*k+1,2*n-5*k+1).
[ "1", "0", "1", "3", "0", "5", "10", "2", "21", "35", "16", "84", "127", "91", "331", "475", "451", "1299", "1821", "2080", "5100", "7116", "9192", "20074", "28201", "39529", "79292", "112864", "166922", "314413", "454657", "696123", "1251461", "18391...
[ "nonn", "easy", "new" ]
12
0
4
[ "A392455", "A392487" ]
null
Seiichi Manyama, Jan 14 2026
2026-01-15T16:44:04
oeisdata/seq/A392/A392487.seq
fd7b6b99ac46bc6b3cc6b0c0a24caae6
A392488
a(n) = Sum_{k=0..floor((2*n+1)/7)} binomial(2*k+1,2*n-7*k+1).
[ "1", "0", "0", "1", "3", "0", "0", "5", "10", "1", "1", "21", "35", "7", "9", "84", "126", "37", "56", "330", "462", "178", "297", "1287", "1717", "820", "1443", "5006", "6452", "3683", "6643", "19464", "24481", "16252", "29512", "75739", "9370...
[ "nonn", "easy", "new" ]
9
0
5
[ "A392456", "A392488" ]
null
Seiichi Manyama, Jan 14 2026
2026-01-14T10:36:52
oeisdata/seq/A392/A392488.seq
b4f9ec7821cf3bf5f4b188d4f6857a22
A392489
a(n) = Sum_{k=0..floor(n/2)} binomial(k+1,2*n-4*k+1).
[ "1", "0", "2", "0", "3", "1", "4", "4", "5", "10", "7", "20", "13", "35", "29", "57", "65", "92", "136", "156", "264", "285", "484", "550", "860", "1079", "1521", "2092", "2732", "3965", "5022", "7359", "9404", "13485", "17751", "24633", "33457...
[ "nonn", "easy", "new" ]
16
0
3
[ "A005314", "A122514", "A390020", "A392489", "A392490", "A392491" ]
null
Seiichi Manyama, Jan 14 2026
2026-01-14T10:36:49
oeisdata/seq/A392/A392489.seq
5ead9074985d2ff36864a2c2c7a60898
A392490
a(n) = Sum_{k=0..floor(n/3)} binomial(k+1,2*n-6*k+1).
[ "1", "0", "0", "2", "0", "0", "3", "1", "0", "4", "4", "0", "5", "10", "1", "6", "20", "6", "7", "35", "21", "9", "56", "56", "17", "84", "126", "46", "121", "252", "131", "175", "462", "342", "275", "793", "805", "506", "1299", "1730", ...
[ "nonn", "easy", "new" ]
14
0
4
[ "A005314", "A390020", "A390662", "A392489", "A392490", "A392491" ]
null
Seiichi Manyama, Jan 14 2026
2026-01-14T10:35:29
oeisdata/seq/A392/A392490.seq
8f9457c975f0a38251916e6e01f630bc
A392491
a(n) = Sum_{k=0..floor(n/4)} binomial(k+1,2*n-8*k+1).
[ "1", "0", "0", "0", "2", "0", "0", "0", "3", "1", "0", "0", "4", "4", "0", "0", "5", "10", "1", "0", "6", "20", "6", "0", "7", "35", "21", "1", "8", "56", "56", "8", "9", "84", "126", "36", "11", "120", "252", "120", "21", "165", "4...
[ "nonn", "easy", "new" ]
17
0
5
[ "A005314", "A390662", "A390688", "A392489", "A392490", "A392491" ]
null
Seiichi Manyama, Jan 14 2026
2026-01-15T16:44:12
oeisdata/seq/A392/A392491.seq
e18b94a5e4cafbb44364b1c894769655
A392506
Numbers k such that the abundancy index of sigma(k) is equal to the abundancy index of d(k).
[ "1", "12", "90", "63984", "34486284", "38879508", "59516499", "64584129", "3442630275", "3446797725", "3740280975", "3825088428", "4367111052", "4370380428", "4370567052", "4370699028", "6141938475", "6905514891", "6956741451" ]
[ "nonn", "more", "new" ]
26
1
2
[ "A000005", "A000203", "A081357", "A392506" ]
null
Leo Hennig, Jan 14 2026
2026-01-15T10:22:41
oeisdata/seq/A392/A392506.seq
21811701c0df25376e61a891d4e93502
A392507
Numbers k such that the abundancy index of sigma(k) divided by the abundancy index of d(k) equals a whole number.
[ "1", "12", "90", "2878", "3118", "3595", "3949", "4063", "4117", "4183", "4187", "4189", "4279", "4427", "18716", "19653", "24323", "25093", "25813", "25853", "63984", "156664", "163190", "171346", "183585", "187634", "191666", "192826", "193234", "193486", ...
[ "nonn", "new" ]
16
1
2
[ "A000005", "A000203", "A081357", "A392506", "A392507" ]
null
Leo Hennig, Jan 14 2026
2026-01-15T10:22:52
oeisdata/seq/A392/A392507.seq
98cd98ee4cd0f2a0cb3c9e5b88ef5e3e
A392524
G.f. satisfies: A(x) = A( x^3 + 12*x*A(x)^3 )^(1/3), with A(0)=0, A'(0)=1.
[ "1", "4", "32", "300", "3024", "31808", "344272", "3804736", "42731520", "486196388", "5591900496", "64906709504", "759393411472", "8946845132800", "106061761136640", "1264308532444800", "15146665392520960", "182284541676200960", "2202815088345640160", "26720851036753899840", ...
[ "nonn", "new" ]
15
1
2
[ "A271934", "A377106", "A392524", "A392525" ]
null
Paul D. Hanna, Jan 15 2026
2026-01-16T10:01:42
oeisdata/seq/A392/A392524.seq
45e2ea142be74895efd780fe97338e0b
A392525
G.f. satisfies: A(x) = A( x^3 + 15*x*A(x)^3 )^(1/3), with A(0)=0, A'(0)=1.
[ "1", "5", "50", "585", "7350", "96250", "1295500", "17785625", "247893750", "3496975070", "49822163300", "715783838250", "10357691059300", "150824505084500", "2208488923375000", "32499586653582625", "480405878209083750", "7130311697477968750", "106224874791538636100", "15879242...
[ "nonn", "new" ]
15
1
2
[ "A271934", "A377106", "A392524", "A392525" ]
null
Paul D. Hanna, Jan 15 2026
2026-01-16T10:01:37
oeisdata/seq/A392/A392525.seq
05fd8470dd6f72dc099a4504d502d61e
A392534
a(n) is the least number k such that j * n! + 1 is prime for all j from k to k + n - 1.
[ "1", "1", "1", "87", "1436", "28065", "24152", "3049073", "388515788" ]
[ "nonn", "hard", "more", "new" ]
24
1
4
null
null
Robert Israel, Jan 15 2026
2026-01-17T23:12:04
oeisdata/seq/A392/A392534.seq
fafb07f86665c119733c140856ea3711
A392535
Numbers k such that 2^k + 2*k - 3 is prime.
[ "2", "3", "6", "7", "8", "20", "26", "27", "32", "39", "63", "81", "98", "111", "127", "134", "138", "410", "470", "686", "759", "1005", "1026", "1386", "2078", "2647", "2970", "3439", "7807", "8684", "15369", "27471", "42391", "75859", "77930", ...
[ "nonn", "more", "hard", "new" ]
14
1
1
[ "A066229", "A100359", "A100361", "A301634", "A301744", "A392535" ]
null
Max Alekseyev, Jan 15 2026
2026-01-16T10:02:28
oeisdata/seq/A392/A392535.seq
a1b9b4109a41612e7e437504c964057c
A392540
Expansion of 1 / ((1-x)^2 - x^5).
[ "1", "2", "3", "4", "5", "7", "11", "18", "29", "45", "68", "102", "154", "235", "361", "555", "851", "1301", "1986", "3032", "4633", "7085", "10838", "16577", "25348", "38752", "59241", "90568", "138472", "211724", "323728", "494973", "756786", "115...
[ "nonn", "easy", "new" ]
14
0
2
[ "A003520", "A049016", "A390044", "A392540" ]
null
Seiichi Manyama, Jan 15 2026
2026-01-16T09:13:37
oeisdata/seq/A392/A392540.seq
64e01edbfc360e6fb75e8397ff611dff
A392541
Expansion of 1 / ((1-x)^2 - x^6).
[ "1", "2", "3", "4", "5", "6", "8", "12", "19", "30", "46", "68", "98", "140", "201", "292", "429", "634", "937", "1380", "2024", "2960", "4325", "6324", "9260", "13576", "19916", "29216", "42841", "62790", "91999", "134784", "197485", "289402", "42...
[ "nonn", "easy", "new" ]
19
0
2
[ "A005708", "A192080", "A375278", "A376785", "A390045", "A392541", "A392542" ]
null
Seiichi Manyama, Jan 15 2026
2026-01-16T15:03:48
oeisdata/seq/A392/A392541.seq
df4e77e4279709619b688a68400263db
A392542
Expansion of 1 / ((1-x)^4 - x^6).
[ "1", "4", "10", "20", "35", "56", "85", "128", "201", "340", "616", "1156", "2172", "4004", "7193", "12620", "21782", "37332", "64095", "110900", "193769", "341344", "604049", "1069640", "1889968", "3327784", "5839608", "10223304", "17880785", "31283604", ...
[ "nonn", "easy", "new" ]
17
0
2
[ "A005708", "A192080", "A390045", "A392541", "A392542" ]
null
Seiichi Manyama, Jan 15 2026
2026-01-16T16:01:10
oeisdata/seq/A392/A392542.seq
170eb18b3a6ab0823e594368213acbf8
A392543
Expansion of 1 / ((1-x)^2 - x^7).
[ "1", "2", "3", "4", "5", "6", "7", "9", "13", "20", "31", "47", "69", "98", "136", "187", "258", "360", "509", "727", "1043", "1495", "2134", "3031", "4288", "6054", "8547", "12083", "17114", "24279", "34475", "48959", "69497", "98582", "139750", ...
[ "nonn", "easy", "new" ]
19
0
2
[ "A005709", "A049017", "A392543", "A392544", "A392545", "A392546", "A392547" ]
null
Seiichi Manyama, Jan 15 2026
2026-01-18T14:16:07
oeisdata/seq/A392/A392543.seq
0162320a6d555e1abb3b16043fe99119
A392544
Expansion of 1 / ((1-x)^3 - x^7).
[ "1", "3", "6", "10", "15", "21", "28", "37", "51", "76", "122", "204", "343", "567", "913", "1432", "2200", "3339", "5053", "7685", "11802", "18317", "28662", "45037", "70781", "110947", "173220", "269402", "417810", "647106", "1002327", "1554254", "24...
[ "nonn", "easy", "new" ]
14
0
2
[ "A005709", "A049017", "A392543", "A392544", "A392545", "A392546", "A392547" ]
null
Seiichi Manyama, Jan 15 2026
2026-01-16T09:15:11
oeisdata/seq/A392/A392544.seq
deadca914d56c01c96d922d634609319
A392545
Expansion of 1 / ((1-x)^4 - x^7).
[ "1", "4", "10", "20", "35", "56", "84", "121", "173", "256", "406", "694", "1247", "2276", "4113", "7263", "12487", "20952", "34519", "56296", "91667", "150129", "248442", "415853", "702561", "1193284", "2029036", "3442498", "5816480", "9782234", "16386865...
[ "nonn", "easy", "new" ]
14
0
2
[ "A005709", "A049017", "A392543", "A392544", "A392545", "A392546", "A392547" ]
null
Seiichi Manyama, Jan 15 2026
2026-01-16T09:14:59
oeisdata/seq/A392/A392545.seq
30cbe4100fd2d584705697775ea5d8ce
A392546
Expansion of 1 / ((1-x)^5 - x^7).
[ "1", "5", "15", "35", "70", "126", "210", "331", "505", "770", "1221", "2080", "3822", "7385", "14501", "28201", "53585", "99043", "178335", "314413", "546806", "946121", "1642244", "2877925", "5107821", "9176831", "16634509", "30281870", "55117511", "999798...
[ "nonn", "easy", "new" ]
14
0
2
[ "A005709", "A049016", "A049017", "A079675", "A368475", "A369803", "A369804", "A390045", "A392543", "A392544", "A392545", "A392546", "A392547" ]
null
Seiichi Manyama, Jan 15 2026
2026-01-16T09:14:48
oeisdata/seq/A392/A392546.seq
937efb873279f5c9c7a9afa76e06e4f8
A392547
Expansion of 1 / ((1-x)^6 - x^7).
[ "1", "6", "21", "56", "126", "252", "462", "793", "1299", "2080", "3367", "5733", "10556", "20944", "43453", "91104", "188480", "380190", "745066", "1420916", "2650221", "4869285", "8888489", "16261025", "30031820", "56231526", "106791426", "205108561", "39648...
[ "nonn", "easy", "new" ]
13
0
2
[ "A005709", "A049017", "A392543", "A392544", "A392545", "A392546", "A392547" ]
null
Seiichi Manyama, Jan 15 2026
2026-01-16T09:14:37
oeisdata/seq/A392/A392547.seq
f9f2d097d4c86ffd1954af5d2e5a708c
A392552
Expansion of 1 / ((1-x)^2 - x^4)^2.
[ "1", "4", "10", "20", "37", "68", "126", "232", "420", "748", "1318", "2308", "4023", "6980", "12054", "20728", "35515", "60664", "103340", "175600", "297704", "503656", "850460", "1433560", "2412573", "4054148", "6803298", "11402028", "19086465", "31914204"...
[ "nonn", "easy", "new" ]
12
0
2
[ "A024490", "A292324", "A392552" ]
null
Seiichi Manyama, Jan 16 2026
2026-01-16T09:14:27
oeisdata/seq/A392/A392552.seq
b95422f34d0ce1b85e267c8940fd64e4
A392553
Expansion of 1 / ((1-x)^2 - x^5)^2.
[ "1", "4", "10", "20", "35", "58", "96", "162", "277", "472", "793", "1312", "2147", "3494", "5674", "9202", "14893", "24032", "38651", "61976", "99136", "158274", "252282", "401518", "638078", "1012526", "1604489", "2539302", "4014105", "6338710", "9999569...
[ "nonn", "easy", "new" ]
14
0
2
[ "A137361", "A292325", "A392540", "A392553" ]
null
Seiichi Manyama, Jan 16 2026
2026-01-16T09:14:10
oeisdata/seq/A392/A392553.seq
53239306a2298f9015da6fabfbee43b7
A392554
Expansion of 1 / ((1-x)^2 - x^6)^2.
[ "1", "4", "10", "20", "35", "56", "86", "132", "207", "332", "538", "868", "1382", "2168", "3362", "5180", "7965", "12252", "18858", "29012", "44552", "68232", "104202", "158748", "241412", "366664", "556384", "843552", "1277763", "1933512", "2922672", "...
[ "nonn", "easy", "new" ]
13
0
2
[ "A392541", "A392554" ]
null
Seiichi Manyama, Jan 16 2026
2026-01-16T09:14:00
oeisdata/seq/A392/A392554.seq
edfab3dddfb25c7ef0f55db3c5f2a04b
A392555
Numbers k such that k and k+2 are both 3-abundant numbers (A068403).
[ "41509500030", "53751301758", "77545516048", "115021477998", "206704495998", "252375798400", "484648516350", "624285133470", "847528356400", "859086855198", "1040297484798", "1288792078000", "1386296806048", "1409258575998", "1631180701150", "1637022875488", "1682804950398", "17515...
[ "nonn", "new" ]
5
1
1
[ "A000203", "A068403", "A231086", "A392555" ]
null
Amiram Eldar, Jan 16 2026
2026-01-16T10:44:07
oeisdata/seq/A392/A392555.seq
2b0f287fe6fc4e418605546d18e57735
A392556
Carmichael numbers k such that (p+1)/2 divides k-1 for any prime p dividing k.
[ "28295303263921", "443372888629441", "582920080863121", "894221105778001", "2013745337604001", "39671149333495681", "842526563598720001", "2380296518909971201", "3188618003602886401", "13568642099913864601", "31995444290475065401", "33711266676317630401", "54764632857801026161", "563035230...
[ "nonn", "new" ]
10
1
1
[ "A002997", "A392556", "A392557" ]
null
Amiram Eldar, Jan 16 2026
2026-01-16T10:44:04
oeisdata/seq/A392/A392556.seq
bfcd946545231450cbb5f532367c393b
A392557
Composite squarefree numbers k such that for any prime p dividing k both (p-1)/2 and (p+1)/2 divide k+1.
[ "35", "6479", "84419", "1930499", "7110179", "15857855", "63278892599", "79397009999" ]
[ "nonn", "more", "new" ]
6
1
1
[ "A006972", "A120944", "A175530", "A217120", "A392556", "A392557" ]
null
Amiram Eldar, Jan 16 2026
2026-01-16T10:03:26
oeisdata/seq/A392/A392557.seq
56d889327babf2fd8d6ec2e67dd5e0ca
A392576
Decimal expansion of (3 - e)/(6*(e - 2)).
[ "0", "6", "5", "3", "6", "8", "5", "3", "1", "8", "6", "2", "8", "8", "8", "8", "0", "2", "3", "9", "6", "0", "9", "2", "1", "4", "6", "4", "1", "3", "3", "0", "2", "7", "5", "4", "7", "2", "8", "9", "9", "6", "3", "9", "7", "...
[ "nonn", "cons", "easy", "new" ]
5
0
2
[ "A001113", "A153805", "A392576" ]
null
Stefano Spezia, Jan 17 2026
2026-01-18T23:47:06
oeisdata/seq/A392/A392576.seq
c0264dacf41259d3757a5e79217476e5
A392578
Expansion of 1 / ((1-x)^3 - x)^2.
[ "1", "8", "42", "186", "755", "2910", "10839", "39404", "140673", "495184", "1723612", "5944602", "20346280", "69189414", "233985831", "787511074", "2639382314", "8813359530", "29332784333", "97339342482", "322162413585", "1063707837534", "3504495947139", "1152303242884...
[ "nonn", "easy", "new" ]
18
0
2
[ "A052529", "A392578" ]
null
Seiichi Manyama, Jan 17 2026
2026-01-18T03:37:29
oeisdata/seq/A392/A392578.seq
585078784070a9cf7d366ffea8fbc94c
A392579
Expansion of 1 / ((1-x)^4 - x)^2.
[ "1", "10", "63", "328", "1551", "6936", "29915", "125784", "518994", "2110412", "8482705", "33775188", "133430068", "523642612", "2043423819", "7935173028", "30683010755", "118196391378", "453794172258", "1737066730472", "6631442585508", "25254895540622", "95967876337585"...
[ "nonn", "easy", "new" ]
17
0
2
[ "A055991", "A392579" ]
null
Seiichi Manyama, Jan 17 2026
2026-01-18T14:14:29
oeisdata/seq/A392/A392579.seq
36b988418bf97416f28652b2ad67c7a4
A392580
Expansion of 1 / ((1-x)^5 - x)^2.
[ "1", "12", "88", "524", "2810", "14198", "69068", "327240", "1520519", "6959930", "31481251", "141026720", "626718340", "2766392924", "12140992660", "53019325740", "230531058085", "998541027120", "4310535651374", "18551666137480", "79625914121555", "340925818470230", "145...
[ "nonn", "easy", "new" ]
13
0
2
[ "A079675", "A392580" ]
null
Seiichi Manyama, Jan 17 2026
2026-01-17T11:02:06
oeisdata/seq/A392/A392580.seq
a9a8c8e451e04c1fd65c814b959745ec
A392581
Expansion of 1 / ((1-x)^3 - x^2)^2.
[ "1", "6", "23", "74", "219", "618", "1690", "4518", "11873", "30786", "78972", "200798", "506808", "1271196", "3171395", "7875256", "19476285", "47993386", "117886221", "288733122", "705352042", "1719084784", "4180830915", "10148032164", "24588103912", "59477665356"...
[ "nonn", "new" ]
17
0
2
[ "A095263", "A392581" ]
null
Seiichi Manyama, Jan 17 2026
2026-01-18T14:14:33
oeisdata/seq/A392/A392581.seq
046799ac43fa063c677829597fbdb62a
A392582
Expansion of 1 / ((1-x)^4 - x^2)^2.
[ "1", "8", "38", "144", "489", "1568", "4858", "14696", "43660", "127880", "370330", "1062560", "3025355", "8558080", "24074610", "67398344", "187892467", "521862592", "1444673876", "3987511216", "10976937752", "30145183792", "82605180884", "225908178880", "61668624856...
[ "nonn", "easy", "new" ]
14
0
2
[ "A290890", "A392582" ]
null
Seiichi Manyama, Jan 17 2026
2026-01-17T11:02:03
oeisdata/seq/A392/A392582.seq
4cc22b27e82adff260ba781c35e33863
A392583
Expansion of 1 / ((1-x)^5 - x^2)^2.
[ "1", "10", "57", "250", "958", "3422", "11759", "39416", "129700", "420542", "1347449", "4275770", "13460154", "42089400", "130860258", "404848066", "1247092849", "3826948536", "11704162210", "35687710162", "108522683624", "329199712980", "996399154254", "3009727674010"...
[ "nonn", "easy", "new" ]
14
0
2
[ "A369803", "A392583" ]
null
Seiichi Manyama, Jan 17 2026
2026-01-17T11:02:00
oeisdata/seq/A392/A392583.seq
bd6a8f3acbb2b740406a1d30b90ac460
A392584
Expansion of 1 / ((1-x)^3 - x^3)^2.
[ "1", "6", "21", "58", "144", "342", "795", "1818", "4095", "9104", "20028", "43692", "94661", "203886", "436905", "932070", "1980648", "4194306", "8854639", "18641346", "39146835", "82021948", "171500436", "357913944", "745654041", "1550960406", "3221225469", "6...
[ "nonn", "easy", "new" ]
13
0
2
[ "A024495", "A392584" ]
null
Seiichi Manyama, Jan 17 2026
2026-01-17T11:01:57
oeisdata/seq/A392/A392584.seq
bd40cd31ccb4170f0bad1ddf8a32094c
A392585
Expansion of 1 / ((1-x)^4 - x^3)^2.
[ "1", "8", "36", "122", "354", "948", "2447", "6210", "15579", "38644", "94804", "230340", "555265", "1330124", "3169602", "7518618", "17762843", "41813520", "98111667", "229548124", "535677447", "1247144584", "2897380069", "6718133382", "15549483240", "35930986632",...
[ "nonn", "easy", "new" ]
13
0
2
[ "A290998", "A392585" ]
null
Seiichi Manyama, Jan 17 2026
2026-01-17T11:01:54
oeisdata/seq/A392/A392585.seq
e7a6752fcbdc7473dd97758d9495890e
A392586
Expansion of 1 / ((1-x)^5 - x^3)^2.
[ "1", "10", "55", "222", "745", "2242", "6368", "17620", "48196", "130764", "351603", "936312", "2471315", "6475382", "16869560", "43743510", "112972715", "290707910", "745596747", "1906567180", "4862211637", "12369960558", "31401917375", "79557504926", "201193695959",...
[ "nonn", "easy", "new" ]
13
0
2
[ "A369804", "A392586" ]
null
Seiichi Manyama, Jan 17 2026
2026-01-17T11:01:50
oeisdata/seq/A392/A392586.seq
6ccbca5cccd8c86ee30288d10ac6495e
A392587
Expansion of 1 / ((1-x)^3 - x^4)^2.
[ "1", "6", "21", "56", "128", "270", "552", "1122", "2280", "4612", "9243", "18330", "36027", "70352", "136752", "264860", "511280", "983796", "1887232", "3610248", "6889317", "13117918", "24928625", "47287656", "89551088", "169324234", "319698936", "602813046", ...
[ "nonn", "easy", "new" ]
14
0
2
[ "A107068", "A292324", "A392552", "A392587", "A392588", "A392589" ]
null
Seiichi Manyama, Jan 17 2026
2026-01-17T10:45:37
oeisdata/seq/A392/A392587.seq
2bdf3e0272e3584f257ab7d6f14a1579
A392588
Expansion of 1 / ((1-x)^4 - x^4)^2.
[ "1", "8", "36", "120", "332", "816", "1872", "4160", "9168", "20224", "44608", "97920", "213184", "460032", "985344", "2099200", "4455680", "9431040", "19911680", "41932800", "88083456", "184578048", "385929216", "805355520", "1677709312", "3489529856", "724751155...
[ "nonn", "easy", "new" ]
13
0
2
[ "A000749", "A392588" ]
null
Seiichi Manyama, Jan 17 2026
2026-01-17T10:45:34
oeisdata/seq/A392/A392588.seq
df5b1081e2d3b9226be2a9ce4ff578e9
A392589
Expansion of 1 / ((1-x)^5 - x^4)^2.
[ "1", "10", "55", "220", "717", "2032", "5245", "12800", "30433", "71936", "170528", "405140", "960039", "2259412", "5272302", "12207404", "28100505", "64437020", "147387480", "336449420", "766499736", "1742452890", "3952091015", "8944258380", "20202499027", "4555324...
[ "nonn", "easy", "new" ]
13
0
2
[ "A368475", "A392589" ]
null
Seiichi Manyama, Jan 17 2026
2026-01-17T10:45:31
oeisdata/seq/A392/A392589.seq
6fa2c354bd2bcb87b192ee5037466453
A392590
Upper irredundance and domination number of the n-Moebius ladder.
[ "1", "1", "3", "4", "5", "5", "7", "8", "9", "9", "11", "12", "13", "13", "15", "16", "17", "17", "19", "20", "21", "21", "23", "24", "25", "25", "27", "28", "29", "29", "31", "32", "33", "33", "35", "36", "37", "37", "39", "40", "41", ...
[ "nonn", "easy", "new" ]
6
1
3
null
null
Eric W. Weisstein, Jan 17 2026
2026-01-17T11:03:04
oeisdata/seq/A392/A392590.seq
3f52edcf38fedc3fadf154abb3ec8a22
A392592
Intersection of A391845 and A391866.
[ "150", "294", "578", "1050", "1650", "1694", "1950", "2535", "2550", "2850", "3234", "3450", "3630", "3822", "4350", "4650", "4998", "5550", "5586", "6150", "6450", "6762", "7050", "7942", "7950", "8526", "8850", "8918", "9114", "9150", "9295", "10050", ...
[ "nonn", "new" ]
11
1
1
[ "A003415", "A003557", "A008966", "A020639", "A053669", "A276085", "A359550", "A369650", "A371083", "A391844", "A391866", "A392592" ]
null
Antti Karttunen, Jan 17 2026
2026-01-17T10:45:24
oeisdata/seq/A392/A392592.seq
d7bdac9fb62b2a50e2f7ce9b7887526b
A392593
Numbers k such that A003415(k) == A276085(k) (mod 3), where A003415 is the arithmetic derivative and A276085 is the primorial base log-function.
[ "1", "2", "8", "10", "12", "15", "22", "24", "27", "28", "32", "33", "34", "35", "36", "46", "51", "52", "58", "64", "65", "69", "76", "77", "82", "84", "87", "94", "95", "100", "105", "106", "118", "119", "123", "124", "125", "128", "135",...
[ "nonn", "new" ]
9
1
2
[ "A003415", "A276085", "A369650", "A373144", "A373153", "A373253", "A391864", "A392593" ]
null
Antti Karttunen, Jan 17 2026
2026-01-17T10:45:27
oeisdata/seq/A392/A392593.seq
e3565da39b29a3a508ec768e404e7413
A392596
a(n) = A276086(n) mod 360, where A276086 is the primorial base exp-function.
[ "1", "2", "3", "6", "9", "18", "5", "10", "15", "30", "45", "90", "25", "50", "75", "150", "225", "90", "125", "250", "15", "30", "45", "90", "265", "170", "75", "150", "225", "90", "7", "14", "21", "42", "63", "126", "35", "70", "105", "...
[ "nonn", "base", "new" ]
9
0
2
[ "A047247", "A047257", "A276086", "A353486", "A358840", "A358850", "A372576", "A380486", "A392596" ]
null
Antti Karttunen, Jan 18 2026
2026-01-18T21:47:19
oeisdata/seq/A392/A392596.seq
9905d1a66189d73f048810147dcbbaa6
A392597
The largest 7-smooth divisor of n.
[ "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "1", "12", "1", "14", "15", "16", "1", "18", "1", "20", "21", "2", "1", "24", "25", "2", "27", "28", "1", "30", "1", "32", "3", "2", "35", "36", "1", "2", "3", "40", "1", "42", "1",...
[ "nonn", "mult", "easy", "new" ]
17
1
2
[ "A002473", "A006519", "A007814", "A007949", "A038500", "A060904", "A065331", "A112765", "A214411", "A268354", "A355582", "A392597", "A392598" ]
null
Antti Karttunen, Jan 18 2026
2026-01-18T15:41:14
oeisdata/seq/A392/A392597.seq
493fac11e281c9a2a079e2da58ecc387
A392598
The largest 11-smooth divisor of n.
[ "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "12", "1", "14", "15", "16", "1", "18", "1", "20", "21", "22", "1", "24", "25", "2", "27", "28", "1", "30", "1", "32", "33", "2", "35", "36", "1", "2", "3", "40", "1", "42", "...
[ "nonn", "mult", "easy", "new" ]
16
1
2
[ "A006519", "A051038", "A065331", "A355582", "A391946", "A392597", "A392598" ]
null
Antti Karttunen, Jan 18 2026
2026-01-18T15:41:19
oeisdata/seq/A392/A392598.seq
8e1b02d6b79ab9f9c941860c5679fc15
A392619
a(n) = denominator((2^n*(n!)^2/(1+2*n)!)^2).
[ "1", "9", "225", "1225", "99225", "480249", "9018009", "41409225", "11967266025", "53335593025", "940839860961", "4113258565689", "285642955950625", "1232152159100625", "21147754404155625", "90324408810638025", "98363281194784809225", "416937783611112080625", "7046763281032252325...
[ "nonn", "frac", "new" ]
4
0
2
[ "A000079", "A000142", "A001044", "A002697", "A009445", "A124399", "A134374", "A392619" ]
null
Stefano Spezia, Jan 17 2026
2026-01-18T14:01:21
oeisdata/seq/A392/A392619.seq
588357933ad29113a89853a281002cc8
A392631
Numbers whose exponential divisors are all numbers whose number of divisors is a power of 2.
[ "1", "2", "3", "5", "6", "7", "8", "10", "11", "13", "14", "15", "17", "19", "21", "22", "23", "24", "26", "27", "29", "30", "31", "33", "34", "35", "37", "38", "39", "40", "41", "42", "43", "46", "47", "51", "53", "54", "55", "56", "57...
[ "nonn", "easy", "new" ]
6
1
2
[ "A000668", "A036537", "A049419", "A322791", "A336591", "A392630", "A392631", "A392632" ]
null
Amiram Eldar, Jan 18 2026
2026-01-18T15:32:06
oeisdata/seq/A392/A392631.seq
5324d82fbaa9441cb811d6d766859303
A392638
Expansion of 1 / ((1-x)^4 - x^5)^2.
[ "1", "8", "36", "120", "330", "794", "1740", "3588", "7163", "14170", "28187", "56624", "114444", "231132", "463828", "922492", "1818893", "3562732", "6950090", "13530532", "26316651", "51146830", "99293420", "192450160", "372275805", "718674492", "1384826061", ...
[ "nonn", "easy", "new" ]
13
0
2
[ "A390044", "A392579", "A392582", "A392585", "A392588", "A392638" ]
null
Seiichi Manyama, Jan 18 2026
2026-01-18T14:11:03
oeisdata/seq/A392/A392638.seq
514765229cf7feef436aea5fefe7c53a
A392639
Expansion of 1 / ((1-x)^5 - x^5)^2.
[ "1", "10", "55", "220", "715", "2004", "5035", "11680", "25670", "54740", "115637", "245540", "527120", "1141580", "2478135", "5357532", "11489175", "24414650", "51475350", "107942700", "225697580", "471409650", "984407325", "2055138800", "4287086100", "8930208942",...
[ "nonn", "easy", "new" ]
13
0
2
[ "A049016", "A392580", "A392583", "A392586", "A392589", "A392639" ]
null
Seiichi Manyama, Jan 18 2026
2026-01-18T14:10:59
oeisdata/seq/A392/A392639.seq
1a55f7c743eb41cb6b2f2ae471517bcb
A392640
Expansion of 1 / sqrt((1-x)^4 - 4*x^3).
[ "1", "2", "3", "6", "17", "48", "125", "320", "843", "2274", "6165", "16698", "45317", "123520", "337941", "926804", "2546315", "7007970", "19320269", "53345662", "147489843", "408261820", "1131321795", "3138104148", "8712572219", "24209742230", "67324021713", "...
[ "nonn", "new" ]
13
0
2
[ "A098479", "A101500", "A162480", "A392640", "A392643" ]
null
Seiichi Manyama, Jan 18 2026
2026-01-18T14:10:43
oeisdata/seq/A392/A392640.seq
d3a1a3676d22f4b5b955ea967d8573eb
A392641
Expansion of 1 / sqrt((1-x)^6 - 4*x).
[ "1", "5", "30", "210", "1555", "11853", "92082", "724950", "5763795", "46172855", "372102306", "3013333458", "24500724241", "199885491275", "1635455540700", "13414669956880", "110272326857385", "908207029425765", "7492741133150170", "61909184062082850", "512225173969783845", ...
[ "nonn", "new" ]
7
0
2
[ "A001850", "A162480", "A392641" ]
null
Seiichi Manyama, Jan 18 2026
2026-01-18T14:10:51
oeisdata/seq/A392/A392641.seq
92cfe3ee1bf1756a1cfe39bfabf3ad8c
A392642
Expansion of 1 / sqrt((1-x)^6 - 4*x^2).
[ "1", "3", "8", "28", "111", "441", "1758", "7110", "29101", "120003", "497598", "2073074", "8671473", "36394155", "153183348", "646345300", "2733100395", "11579042025", "49138564920", "208846332468", "888831570633", "3787421110239", "16156612556814", "68991749120934", ...
[ "nonn", "new" ]
7
0
2
[ "A002426", "A101500", "A392642" ]
null
Seiichi Manyama, Jan 18 2026
2026-01-18T14:10:47
oeisdata/seq/A392/A392642.seq
68a9be5d83eeb3fa322ff79457563089
A392643
Expansion of 1 / sqrt((1-x)^6 - 4*x^3).
[ "1", "3", "6", "12", "33", "111", "364", "1116", "3339", "10161", "31716", "100206", "316761", "999711", "3158964", "10015848", "31861935", "101581353", "324310822", "1036644708", "3317810325", "10632401247", "34112959080", "109559248392", "352184126953", "113305463...
[ "nonn", "new" ]
7
0
2
[ "A098479", "A392640", "A392643" ]
null
Seiichi Manyama, Jan 18 2026
2026-01-18T14:10:55
oeisdata/seq/A392/A392643.seq
275cd7ea4ac4e354460db9f10c974c60
A392644
Expansion of 1 / ((1-x)^6 - 9*x)^(1/3).
[ "1", "5", "45", "490", "5720", "69477", "865798", "10983770", "141191010", "1833394015", "23998524098", "316182713994", "4188231151213", "55730336729180", "744444532476735", "9977530765306354", "134115304302092618", "1807365910946533092", "24411819111522215806", "33039590208021...
[ "nonn", "new" ]
10
0
2
[ "A376802", "A392644", "A392645" ]
null
Seiichi Manyama, Jan 18 2026
2026-01-18T15:40:53
oeisdata/seq/A392/A392644.seq
c40edd7b241d17b4e438ed85979743bf
A392645
Expansion of 1 / ((1-x)^9 - 9*x)^(1/3).
[ "1", "6", "60", "748", "9990", "138810", "1979236", "28732764", "422671941", "6281155171", "94095173304", "1418823943800", "21509727359176", "327577920781440", "5008154876335128", "76823470787130208", "1181889973307518314", "18229495033286520264", "281812455269997428098", "4365...
[ "nonn", "new" ]
8
0
2
[ "A376802", "A392644", "A392645" ]
null
Seiichi Manyama, Jan 18 2026
2026-01-18T14:09:41
oeisdata/seq/A392/A392645.seq
43be3daf7e82a48ddaad79c8bbca54fe