Datasets:
christopher
/
oeis

Dataset card Data Studio Files
xet
Community
2
sequence_id
stringlengths
7
7
sequence_name
stringlengths
4
573
sequence
sequencelengths
1
348
keywords
sequencelengths
1
8
score
int64
1
2.31k
offset_a
int64
-14,827
666,262,453B
offset_b
int64
0
635M
⌀
cross_references
sequencelengths
1
128
⌀
former_ids
sequencelengths
1
3
⌀
author
stringlengths
7
231
⌀
timestamp
timestamp[us]date
1999-12-11 03:00:00
2025-04-28 00:58:08
filename
stringlengths
29
29
hash
stringlengths
32
32
A379702
Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(x) / (1 + x*exp(3*x)) ).
[ "1", "0", "5", "11", "333", "2829", "78553", "1360197", "42149817", "1123709129", "40775629581", "1453036152897", "62005204699045", "2736440768515869", "135913168259011809", "7106229274104610829", "405068417020871464689", "24398077807975709138193", "1574189366334360310720405" ]
[ "nonn" ]
10
0
3
[ "A108919", "A366233", "A379701", "A379702" ]
null
Seiichi Manyama, Dec 30 2024
2024-12-30T11:24:01
oeisdata/seq/A379/A379702.seq
0ee389e0d766f4e467ce243237a60150
A379703
Antidiagonal sums of A343052.
[ "0", "0", "0", "6", "18", "31", "57", "80", "125", "161", "230", "282", "380", "451", "583", "676", "847", "965", "1180", "1326", "1590", "1767", "2085", "2296", "2673", "2921", "3362", "3650", "4160", "4491", "5075", "5452", "6115", "6541", "7288", "7766", "8602", "9135", "10065", "10656", "11685", "12337", "13470", "14186", "15428", "16211", "17567", "18420", "19895", "20821" ]
[ "nonn", "easy" ]
13
0
4
[ "A273790", "A343052", "A379703" ]
null
Stefano Spezia, Dec 30 2024
2025-01-02T12:47:40
oeisdata/seq/A379/A379703.seq
4cb5beb6670bf7ff57f64b28b50a109d
A379704
Lengths of runs in A157196.
[ "2", "1", "4", "1", "2", "1", "2", "2", "2", "1", "4", "1", "2", "2", "4", "1", "2", "2", "2", "1", "2", "1", "4", "1", "2", "2", "4", "1", "2", "1", "2", "2", "2", "1", "4", "2", "2", "1", "4", "1", "2", "2", "2", "1", "2", "1", "4", "1", "2", "2", "4", "1", "2", "1", "2", "2", "2", "1", "4", "1", "2", "2", "4", "1", "2", "2", "2", "1", "2", "1", "4", "2", "2", "1", "4", "1", "2", "1", "2", "2", "2", "1", "4", "2", "2", "1", "4" ]
[ "nonn" ]
12
1
1
[ "A157196", "A379704" ]
null
Jeffrey Shallit, Dec 30 2024
2025-01-03T05:10:46
oeisdata/seq/A379/A379704.seq
8257e1e3ec9b622047e08c234b492f8f
A379705
a(n) is the least integer k > n such that integers p, q exist for which n, p, k are in arithmetic and n, q, k are in geometric progression.
[ "9", "8", "27", "16", "45", "24", "63", "18", "25", "40", "99", "48", "117", "56", "135", "36", "153", "32", "171", "80", "189", "88", "207", "54", "49", "104", "75", "112", "261", "120", "279", "50", "297", "136", "315", "64", "333", "152", "351", "90", "369", "168", "387", "176", "125", "184", "423", "108", "81", "72", "459", "208", "477", "96", "495", "126", "513", "232" ]
[ "nonn" ]
5
1
1
[ "A000188", "A008833", "A057918", "A072905", "A379663", "A379705" ]
null
Felix Huber, Jan 07 2025
2025-01-17T19:38:36
oeisdata/seq/A379/A379705.seq
d82c4d9ca7849972159b798c3de5da5d
A379706
Number of nonempty labeled antichains of subsets of [n] such that the largest subset is of size 2.
[ "0", "0", "1", "10", "97", "1418", "40005", "2350474", "286192257", "71213783154", "35883905262757", "36419649682704418", "74221659280476132145", "303193505953871645554778", "2480118046704094643352342117", "40601989176407026666590990389338", "1329877330167226219547875498464450945", "87134888326188320631048795061602782878050" ]
[ "nonn", "easy" ]
13
0
4
[ "A000225", "A000372", "A036239", "A126883", "A379706", "A379707", "A379712" ]
null
John Tyler Rascoe, Dec 30 2024
2025-01-06T06:13:25
oeisdata/seq/A379/A379706.seq
0464afa5a4c97ad97d6462f023b23f88
A379707
Number of nonemtpy labeled antichains of subsets of [n] such that all subsets except possibly those of the largest size are disjoint.
[ "1", "2", "5", "19", "133", "2605", "1128365", "68731541392", "1180735736455875189405", "170141183460507927984536600089529165335", "7237005577335553223087828975127304180898559033209149835788539833222132944557" ]
[ "nonn", "easy" ]
18
0
2
[ "A000372", "A014466", "A229223", "A245567", "A305844", "A379706", "A379707" ]
null
John Tyler Rascoe, Dec 30 2024
2025-01-06T07:32:00
oeisdata/seq/A379/A379707.seq
5df4b1d8a426181a71f2f1a4f4d6b696
A379708
Decimal expansion of the surface area of a disdyakis triacontahedron with unit shorter edge length.
[ "9", "4", "2", "3", "4", "6", "3", "2", "6", "6", "2", "1", "9", "3", "7", "3", "5", "6", "0", "1", "5", "0", "3", "5", "0", "6", "5", "2", "0", "5", "4", "9", "1", "5", "9", "8", "7", "4", "9", "9", "7", "3", "1", "0", "4", "5", "3", "7", "0", "8", "1", "3", "1", "2", "1", "3", "8", "8", "6", "9", "4", "7", "9", "2", "6", "1", "9", "5", "9", "3", "1", "5", "5", "2", "8", "1", "8", "5", "8", "9", "0", "6", "7", "9", "3", "6", "7", "1", "2", "5" ]
[ "nonn", "cons", "easy" ]
11
2
1
[ "A002163", "A377796", "A379388", "A379708", "A379709", "A379710", "A379711" ]
null
Paolo Xausa, Dec 31 2024
2025-01-03T09:28:25
oeisdata/seq/A379/A379708.seq
c80c209a54ae95c03629a8b3dd374c19
A379709
Decimal expansion of the volume of a disdyakis triacontahedron with unit shorter edge length.
[ "8", "4", "1", "8", "1", "9", "7", "5", "4", "4", "0", "0", "4", "8", "1", "3", "1", "3", "5", "1", "8", "9", "5", "9", "9", "4", "2", "9", "2", "9", "3", "3", "9", "8", "1", "7", "4", "4", "4", "0", "3", "2", "9", "9", "1", "2", "0", "7", "3", "8", "5", "0", "6", "3", "8", "7", "5", "2", "1", "0", "9", "1", "6", "2", "1", "5", "3", "7", "8", "3", "6", "6", "8", "8", "1", "7", "2", "9", "7", "5", "6", "7", "5", "1", "5", "9", "3", "6", "7", "5" ]
[ "nonn", "cons", "easy" ]
9
2
1
[ "A002163", "A377797", "A379388", "A379708", "A379709", "A379710", "A379711" ]
null
Paolo Xausa, Dec 31 2024
2025-01-03T09:28:15
oeisdata/seq/A379/A379709.seq
1e7a176555c736ce44fc960e15c9137e
A379710
Decimal expansion of the inradius of a disdyakis triacontahedron with unit shorter edge length.
[ "2", "6", "7", "9", "9", "6", "9", "3", "4", "0", "2", "0", "4", "8", "3", "5", "5", "7", "8", "5", "7", "9", "5", "5", "3", "3", "2", "7", "4", "5", "9", "8", "0", "6", "7", "6", "7", "0", "8", "5", "4", "2", "3", "0", "3", "8", "1", "6", "8", "2", "7", "7", "3", "3", "2", "1", "5", "2", "6", "8", "9", "0", "3", "6", "3", "3", "7", "1", "5", "1", "7", "6", "3", "8", "1", "7", "0", "2", "0", "9", "1", "9", "7", "1", "5", "0", "0", "0", "0", "6" ]
[ "nonn", "cons", "easy" ]
10
1
1
[ "A002163", "A379388", "A379708", "A379709", "A379710", "A379711" ]
null
Paolo Xausa, Dec 31 2024
2025-01-03T09:28:29
oeisdata/seq/A379/A379710.seq
706d03fd1c58f4a49c67a19aafe5de50
A379711
Decimal expansion of the dihedral angle, in radians, between any two adjacent faces in a disdyakis triacontahedron.
[ "2", "8", "7", "7", "8", "3", "6", "6", "1", "0", "4", "6", "1", "2", "2", "4", "2", "8", "0", "9", "4", "3", "4", "5", "0", "4", "5", "4", "8", "1", "7", "9", "9", "1", "7", "7", "5", "4", "7", "4", "9", "4", "2", "8", "6", "6", "5", "4", "0", "6", "4", "7", "0", "3", "4", "5", "6", "8", "2", "6", "3", "2", "1", "6", "9", "8", "3", "8", "3", "1", "7", "6", "7", "0", "9", "4", "3", "8", "4", "5", "9", "9", "1", "5", "6", "6", "8", "4", "9", "7" ]
[ "nonn", "cons", "easy" ]
12
1
1
[ "A002163", "A344075", "A377995", "A377996", "A379388", "A379708", "A379709", "A379710", "A379711" ]
null
Paolo Xausa, Dec 31 2024
2025-01-03T09:28:19
oeisdata/seq/A379/A379711.seq
54d64d130ae56a0226c7f34b3daddb1d
A379712
Triangle read by rows: T(n,k) is the number of nonempty labeled antichains of subsets of [n] such that the largest subset is of size k.
[ "1", "1", "1", "1", "3", "1", "1", "7", "10", "1", "1", "15", "97", "53", "1", "1", "31", "1418", "5443", "686", "1", "1", "63", "40005", "3701128", "4043864", "43291", "1" ]
[ "nonn", "tabl", "more", "hard" ]
14
0
5
[ "A000225", "A000372", "A014466", "A327806", "A379706", "A379712" ]
null
John Tyler Rascoe, Dec 30 2024
2025-01-06T06:31:49
oeisdata/seq/A379/A379712.seq
9b5facfa19f3a2823b9cd9dcfd51b685
A379713
Array read by downward antidiagonals: rows list practical numbers with the same progenitor primitive practical number (A267124).
[ "1", "2", "4", "6", "8", "12", "20", "16", "18", "40", "28", "32", "24", "80", "56", "30", "64", "36", "100", "112", "60", "42", "128", "48", "160", "196", "90", "84", "66", "256", "54", "200", "224", "120", "126", "132", "78", "512", "72", "320", "392", "150", "168", "198", "156", "88", "1024", "96", "400", "448", "180", "252", "264", "234", "176", "104", "2048", "108", "500", "784", "240", "294", "396", "312", "352", "208", "140", "4096", "144", "640", "896", "270", "336", "528", "468", "704", "416", "280", "204", "8192" ]
[ "nonn", "tabf" ]
20
1
2
[ "A000079", "A005117", "A005153", "A007947", "A033845", "A143207", "A267124", "A284457", "A379325", "A379713" ]
null
Frank M Jackson, Dec 30 2024
2025-02-14T04:10:40
oeisdata/seq/A379/A379713.seq
4fa3d1721b97eac2df148089489b7a71
A379714
Partial alternating sums of the number of exponential divisors function (A049419).
[ "1", "0", "1", "-1", "0", "-1", "0", "-2", "0", "-1", "0", "-2", "-1", "-2", "-1", "-4", "-3", "-5", "-4", "-6", "-5", "-6", "-5", "-7", "-5", "-6", "-4", "-6", "-5", "-6", "-5", "-7", "-6", "-7", "-6", "-10", "-9", "-10", "-9", "-11", "-10", "-11", "-10", "-12", "-10", "-11", "-10", "-13", "-11", "-13", "-12", "-14", "-13", "-15", "-14", "-16", "-15", "-16", "-15", "-17", "-16" ]
[ "sign", "easy" ]
9
1
8
[ "A049419", "A065442", "A068762", "A068773", "A145353", "A307704", "A327837", "A357817", "A370895", "A370896", "A379714" ]
null
Amiram Eldar, Dec 30 2024
2024-12-31T20:18:58
oeisdata/seq/A379/A379714.seq
995cec8a069c586ae1da8ee594471840
A379715
The second Jordan totient function applied to the squarefree numbers.
[ "1", "3", "8", "24", "24", "48", "72", "120", "168", "144", "192", "288", "360", "384", "360", "528", "504", "840", "576", "960", "960", "864", "1152", "1368", "1080", "1344", "1680", "1152", "1848", "1584", "2208", "2304", "2808", "2880", "2880", "2520", "3480", "3720", "2880", "4032", "2880", "4488", "4224", "3456", "5040", "5328", "4104", "5760", "4032" ]
[ "nonn", "easy" ]
14
1
2
[ "A005117", "A007434", "A013661", "A049200", "A330523", "A379715", "A379716", "A379717", "A379718" ]
null
Amiram Eldar, Dec 30 2024
2025-01-04T02:48:29
oeisdata/seq/A379/A379715.seq
da555f6041d512cb4ebde7c11fd1bf8c
A379716
The second Jordan totient function applied to the powerful numbers: a(n) = A007434(A001694(n)).
[ "1", "12", "48", "72", "192", "600", "648", "768", "864", "2352", "3072", "3456", "5832", "7200", "7776", "14520", "15000", "12288", "13824", "28392", "28224", "28800", "31104", "43200", "52488", "49152", "55296", "83232", "69984", "115248", "129960", "112896", "115200", "124416", "169344", "174240", "180000", "196608", "279312", "221184", "375000" ]
[ "nonn", "easy" ]
10
1
2
[ "A001694", "A007434", "A323333", "A379715", "A379716", "A379717", "A379718" ]
null
Amiram Eldar, Dec 30 2024
2025-01-01T14:41:51
oeisdata/seq/A379/A379716.seq
9f6f57f609515f7f904bf3b46c7e67f4
A379717
The second Jordan totient function applied to the cubefree numbers.
[ "1", "3", "8", "12", "24", "24", "48", "72", "72", "120", "96", "168", "144", "192", "288", "216", "360", "288", "384", "360", "528", "600", "504", "576", "840", "576", "960", "960", "864", "1152", "864", "1368", "1080", "1344", "1680", "1152", "1848", "1440", "1728", "1584", "2208", "2352", "1800", "2304", "2016", "2808", "2880", "2880", "2520", "3480", "2304" ]
[ "nonn", "easy" ]
17
1
2
[ "A002117", "A004709", "A007434", "A013661", "A358039", "A379715", "A379716", "A379717", "A379718" ]
null
Amiram Eldar, Dec 31 2024
2025-01-04T02:48:34
oeisdata/seq/A379/A379717.seq
edac6de4a446df80804e3424c01f9102
A379718
The second Jordan totient function applied to the cubefull numbers: a(n) = A007434(A036966(n)).
[ "1", "48", "192", "648", "768", "3072", "5832", "15000", "12288", "31104", "52488", "49152", "115248", "124416", "196608", "375000", "279936", "472392", "497664", "720000", "786432", "1119744", "1756920", "1990656", "2519424", "2880000", "3145728", "4251528", "4798248", "5647152", "4478976", "5531904", "9375000", "9720000", "7962624" ]
[ "nonn", "easy" ]
10
1
2
[ "A007434", "A013661", "A036966", "A371412", "A379715", "A379716", "A379717", "A379718" ]
null
Amiram Eldar, Dec 31 2024
2025-01-01T14:42:01
oeisdata/seq/A379/A379718.seq
51e2d8003dbf02f475ce5f6847a8f1b4
A379719
a(0) = 0, and for any n > 0, a(n) is the least integer (in absolute value) not yet in the sequence such that the absolute difference of a(n-1) and a(n) is a power of 2; in case of a tie, preference is given to the positive value.
[ "0", "1", "-1", "-2", "2", "3", "4", "-4", "-3", "5", "6", "7", "8", "-8", "-6", "-5", "-7", "9", "10", "11", "12", "13", "14", "15", "16", "-16", "-12", "-10", "-9", "-11", "-13", "-14", "-15", "17", "18", "19", "20", "21", "22", "23", "24", "25", "26", "27", "28", "29", "30", "31", "32", "-32", "-24", "-20", "-18", "-17", "-19", "-21", "-22", "-23", "-25", "-26", "-27", "-28" ]
[ "sign" ]
16
0
4
[ "A377091", "A377092", "A379719" ]
null
Rémy Sigrist, Dec 31 2024
2025-01-18T09:10:57
oeisdata/seq/A379/A379719.seq
f5cace5d2155487994901388c32ae72c
A379720
Except a(0)=1 and a(4)=0, number of integer partitions of n with no 1's and at least two parts.
[ "1", "0", "0", "0", "0", "1", "3", "3", "6", "7", "11", "13", "20", "23", "33", "40", "54", "65", "87", "104", "136", "164", "209", "252", "319", "382", "477", "573", "707", "846", "1038", "1237", "1506", "1793", "2166", "2572", "3093", "3659", "4377", "5169", "6152", "7244", "8590", "10086", "11913", "13958", "16423", "19195", "22518", "26251", "30700", "35716" ]
[ "nonn" ]
12
0
7
[ "A000009", "A000041", "A001055", "A002865", "A003963", "A025147", "A028422", "A057567", "A057568", "A071904", "A083751", "A096276", "A111133", "A114324", "A301987", "A318029", "A318950", "A319000", "A319005", "A319916", "A325036", "A325037", "A325038", "A325041", "A325044", "A326149", "A326152", "A326155", "A326178", "A379666", "A379668", "A379678", "A379720", "A379721", "A379722", "A379733", "A379736" ]
null
Gus Wiseman, Jan 06 2025
2025-01-12T19:10:54
oeisdata/seq/A379/A379720.seq
4983b814a2d5680d7540a5c750720aba
A379721
Numbers whose prime indices have sum <= product.
[ "1", "2", "3", "5", "7", "9", "11", "13", "15", "17", "19", "21", "23", "25", "27", "29", "30", "31", "33", "35", "37", "39", "41", "42", "43", "45", "47", "49", "50", "51", "53", "54", "55", "57", "59", "61", "63", "65", "66", "67", "69", "70", "71", "73", "75", "77", "78", "79", "81", "83", "84", "85", "87", "89", "90", "91", "93", "95", "97", "98", "99", "100", "101", "102", "103" ]
[ "nonn" ]
5
1
2
[ "A000040", "A000720", "A001055", "A001222", "A001223", "A003963", "A045778", "A046022", "A055396", "A056239", "A057567", "A057568", "A061395", "A075254", "A075255", "A096276", "A111133", "A112798", "A114324", "A175508", "A178503", "A301987", "A318029", "A319000", "A319005", "A325034", "A325035", "A325036", "A325037", "A325038", "A325044", "A326149", "A326155", "A326156", "A326172", "A379681", "A379682", "A379720", "A379721", "A379722", "A379733", "A379736" ]
null
Gus Wiseman, Jan 05 2025
2025-01-05T22:35:02
oeisdata/seq/A379/A379721.seq
c4e164bbd0f10511bb750610f6a293c1
A379722
Numbers whose prime indices do not have the same sum as product.
[ "1", "4", "6", "8", "10", "12", "14", "15", "16", "18", "20", "21", "22", "24", "25", "26", "27", "28", "32", "33", "34", "35", "36", "38", "39", "40", "42", "44", "45", "46", "48", "49", "50", "51", "52", "54", "55", "56", "57", "58", "60", "62", "63", "64", "65", "66", "68", "69", "70", "72", "74", "75", "76", "77", "78", "80", "81", "82", "85", "86", "87", "88", "90", "91", "92", "93" ]
[ "nonn" ]
6
1
2
[ "A000040", "A000720", "A001055", "A001222", "A001223", "A003963", "A025147", "A045778", "A055396", "A056239", "A057567", "A057568", "A061395", "A075254", "A096276", "A111133", "A112798", "A114324", "A178503", "A301987", "A318029", "A319000", "A319005", "A324851", "A325036", "A325037", "A325038", "A325041", "A325044", "A326149", "A326155", "A379666", "A379668", "A379681", "A379682", "A379721", "A379722", "A379733", "A379736" ]
null
Gus Wiseman, Jan 08 2025
2025-01-08T19:37:48
oeisdata/seq/A379/A379722.seq
e71ded8c261abcdbb47d7c2d593c1379
A379723
Possible values of the sum of squares of divisors function (A001157).
[ "1", "5", "10", "21", "26", "50", "85", "91", "122", "130", "170", "210", "250", "260", "290", "341", "362", "455", "500", "530", "546", "610", "651", "820", "842", "850", "962", "1050", "1220", "1300", "1365", "1370", "1450", "1682", "1700", "1810", "1850", "1911", "2210", "2366", "2451", "2500", "2562", "2650", "2810", "2900", "3172", "3255", "3410", "3482" ]
[ "nonn", "easy" ]
22
1
2
[ "A001157", "A002191", "A002202", "A066872", "A211347", "A379723" ]
null
Amiram Eldar, Jan 03 2025
2025-01-04T02:48:43
oeisdata/seq/A379/A379723.seq
bd064a2a9a681deb6e3ab5ae3cb41266
A379724
a(n) = A000668(n) - 1.
[ "2", "6", "30", "126", "8190", "131070", "524286", "2147483646", "2305843009213693950", "618970019642690137449562110", "162259276829213363391578010288126", "170141183460469231731687303715884105726" ]
[ "nonn" ]
25
1
1
[ "A000396", "A000668", "A023900", "A072868", "A379724", "A379725" ]
null
Mats Granvik and Antti Karttunen, Dec 31 2024
2025-01-23T12:35:16
oeisdata/seq/A379/A379724.seq
126f9d51cad3c7f08366a598c50dc1c0
A379725
a(n) = A023900(n*A000396(n)).
[ "2", "6", "-60", "126", "-32760", "-262140", "-3145716", "2147483646", "-4611686018427387900", "-2475880078570760549798248440", "-1622592768292133633915780102881260", "-340282366920938463463374607431768211452" ]
[ "sign" ]
10
1
1
[ "A000396", "A000668", "A023900", "A379724", "A379725" ]
null
Mats Granvik, Antti Karttunen, Dec 31 2024
2025-01-07T08:49:25
oeisdata/seq/A379/A379725.seq
1ee4441cddcb00b634ec043a67626439
A379726
Minimum number of kings that must be placed on an n X n chessboard such that each square is attacked or occupied by at least two kings.
[ "2", "3", "8", "8", "10", "18", "18", "21", "32", "32", "36", "50", "50", "55", "72", "72", "78", "98", "98", "105", "128", "128", "136", "162", "162", "171", "200", "200", "210", "242", "242", "253", "288", "288", "300", "338", "338", "351", "392", "392", "406", "450", "450", "465", "512", "512", "528", "578", "578", "595", "648", "648", "666", "722", "722", "741", "800", "800", "820", "882", "882", "903", "968", "968", "990", "1058", "1058", "1081", "1152", "1152", "1176", "1250", "1250", "1275", "1352", "1352", "1378", "1458", "1458", "1485", "1568", "1568", "1596", "1682", "1682", "1711", "1800", "1800", "1830", "1922", "1922", "1953", "2048", "2048", "2080", "2178", "2178", "2211", "2312" ]
[ "nonn" ]
45
2
1
[ "A001105", "A014105", "A075561", "A093353", "A379726", "A379759", "A379766" ]
null
Matthew Scroggs, Dec 31 2024
2025-03-31T07:00:31
oeisdata/seq/A379/A379726.seq
e6e38ea7585a8e7eff3bdb52b4be94d8
A379727
a(1) = 1. For n > 1, a(n) = smallest prime factor of c=2*a(n-1)+1 that is not in {a(1), ..., a(n-1)}; if all prime factors of c are in {a(1), ..., a(n-1)}, then we try the next value of c, which is 2*c+1; and so on.
[ "1", "3", "7", "5", "11", "23", "47", "19", "13", "37", "151", "101", "29", "59", "17", "71", "41", "83", "167", "67", "271", "181", "727", "97", "1567", "6271", "113", "227", "911", "1823", "521", "149", "599", "109", "73", "197", "79", "53", "107", "43", "563", "347", "139", "31", "127", "89", "179", "359", "719", "1439", "2879", "443", "887", "7103", "14207", "5683", "421", "281", "1289", "2579", "607", "1621", "499", "1999", "5333", "10667", "251", "503", "733", "163", "131", "263", "211", "3391", "13567", "7753", "1723", "383", "307", "1231", "821", "173", "293" ]
[ "nonn" ]
20
1
2
[ "A379649", "A379652", "A379727" ]
null
N. J. A. Sloane, Dec 31 2024
2025-01-02T09:34:56
oeisdata/seq/A379/A379727.seq
a59db1e28c1135bf5ab25cfcbf11f69f
A379728
Absolute value of first differences of paperfolding sequence A014577.
[ "0", "1", "1", "0", "1", "0", "1", "0", "0", "1", "0", "1", "1", "0", "1", "0", "0", "1", "1", "0", "1", "0", "0", "1", "0", "1", "0", "1", "1", "0", "1", "0", "0", "1", "1", "0", "1", "0", "1", "0", "0", "1", "0", "1", "1", "0", "0", "1", "0", "1", "1", "0", "1", "0", "0", "1", "0", "1", "0", "1", "1", "0", "1", "0", "0", "1", "1", "0", "1", "0", "1", "0", "0", "1", "0", "1", "1", "0", "1", "0", "0", "1", "1", "0", "1", "0", "0" ]
[ "nonn" ]
16
1
null
[ "A014577", "A157196", "A343173", "A379728" ]
null
Jeffrey Shallit, Dec 31 2024
2025-01-03T15:49:54
oeisdata/seq/A379/A379728.seq
009cd74438088e7ca7bc3ba4e9a3142c
A379729
Ending positions of runs of identical terms in A157196.
[ "2", "3", "7", "8", "10", "11", "13", "15", "17", "18", "22", "23", "25", "27", "31", "32", "34", "36", "38", "39", "41", "42", "46", "47", "49", "51", "55", "56", "58", "59", "61", "63", "65", "66", "70", "72", "74", "75", "79", "80", "82", "84", "86", "87", "89", "90", "94", "95", "97", "99", "103", "104", "106", "107", "109", "111", "113", "114", "118", "119", "121", "123", "127" ]
[ "nonn" ]
13
1
1
[ "A157196", "A379704", "A379729" ]
null
Jeffrey Shallit, Dec 31 2024
2025-01-03T02:22:10
oeisdata/seq/A379/A379729.seq
4f4d87163f77cdb3a4eb6b58b2041f47
A379730
a(1)=1. For n>1 if a(n-1) is a novel term a(n)=A083720(a(n-1)), else a(n) = k*a(n-1), where k(>1) is the number of times a(n-1) has occurred.
[ "1", "1", "2", "1", "3", "2", "4", "1", "4", "8", "1", "5", "6", "1", "6", "12", "1", "7", "30", "1", "8", "16", "1", "9", "2", "6", "18", "1", "10", "3", "6", "24", "1", "11", "210", "1", "12", "24", "48", "1", "13", "2310", "1", "14", "15", "2", "8", "24", "72", "1", "15", "30", "60", "1", "16", "32", "1", "17", "30030", "1", "18", "36", "1", "19", "510510", "1", "20", "3", "9", "18", "54", "1", "21" ]
[ "nonn", "easy" ]
15
1
3
[ "A000005", "A000040", "A002110", "A005117", "A006530", "A083720", "A379730" ]
null
David James Sycamore, Dec 31 2024
2025-03-31T22:58:44
oeisdata/seq/A379/A379730.seq
ef895d5c93831ed584fee099247c8e16
A379731
List of y coordinates of prime numbers in the Cartesian grid defined in A379643.
[ "0", "0", "1", "1", "1", "2", "1", "1", "1", "2", "2", "3", "2", "2", "2", "3", "3", "4", "4", "4", "3", "3", "3", "2", "1", "2", "2", "2", "3", "2", "2", "2", "1", "1", "2", "2", "3", "3", "3", "4", "4", "5", "5", "4", "5", "5", "5", "5", "5", "6", "5", "5", "4", "4", "3", "3", "4", "4", "5", "4", "4", "5", "5", "5", "4", "5", "5", "4", "4", "5", "4", "4", "4", "5", "5", "5", "6", "7", "6", "5", "5", "6", "6", "5", "5", "5", "4" ]
[ "sign" ]
9
1
6
[ "A297448", "A345293", "A379643", "A379731" ]
null
Ya-Ping Lu, Dec 31 2024
2025-01-07T08:37:16
oeisdata/seq/A379/A379731.seq
ab761d40e25c0487351f0ac0b5676175
A379732
Decimal expansion of 207/208.
[ "9", "9", "5", "1", "9", "2", "3", "0", "7", "6", "9", "2", "3", "0", "7", "6", "9", "2", "3", "0", "7", "6", "9", "2", "3", "0", "7", "6", "9", "2", "3", "0", "7", "6", "9", "2", "3", "0", "7", "6", "9", "2", "3", "0", "7", "6", "9", "2", "3", "0", "7", "6", "9", "2", "3", "0", "7", "6", "9", "2", "3", "0", "7", "6", "9", "2", "3", "0", "7", "6", "9", "2", "3", "0", "7", "6", "9", "2", "3", "0", "7", "6", "9", "2", "3", "0", "7", "6", "9", "2" ]
[ "nonn", "cons", "easy" ]
13
0
1
[ "A374772", "A377274", "A377275", "A379732" ]
null
Paolo Xausa, Dec 31 2024
2025-01-02T13:19:54
oeisdata/seq/A379/A379732.seq
fdff9f93de49259935500eb8ccdbbb6e
A379733
Number of strict integer partitions of n whose product of parts is a multiple of n.
[ "1", "1", "1", "1", "1", "2", "1", "1", "2", "3", "1", "5", "1", "5", "7", "7", "1", "12", "1", "20", "15", "11", "1", "48", "12", "16", "33", "61", "1", "121", "1", "105", "67", "34", "126", "292", "1", "49", "128", "471", "1", "522", "1", "387", "751", "96", "1", "1556", "246", "792", "422", "869", "1", "2126", "1191", "2904", "726", "240", "1", "6393", "1", "321", "5460", "6711" ]
[ "nonn" ]
9
1
6
[ "A001055", "A003963", "A057567", "A057568", "A069016", "A096276", "A111133", "A114324", "A318950", "A319000", "A319005", "A319057", "A319916", "A325037", "A326149", "A326152", "A326155", "A379720", "A379721", "A379733", "A379734", "A379735" ]
null
Gus Wiseman, Jan 07 2025
2025-01-07T19:05:13
oeisdata/seq/A379/A379733.seq
0ab4b497099f42fde9d0e79b26bdd7f8
A379734
Number of integer partitions of n into parts > 1 whose product is a multiple of n.
[ "0", "1", "1", "2", "1", "1", "1", "4", "3", "2", "1", "8", "1", "4", "8", "27", "1", "32", "1", "40", "24", "13", "1", "175", "56", "22", "188", "166", "1", "387", "1", "874", "166", "61", "410", "1833", "1", "98", "391", "3028", "1", "2704", "1", "1828", "5893", "239", "1", "16756", "3446", "9742", "1865", "5276", "1", "32927", "8179", "31643", "3840", "814", "1", "82958", "1" ]
[ "nonn" ]
10
1
4
[ "A000009", "A000041", "A001055", "A002865", "A025147", "A057567", "A057568", "A069016", "A096276", "A111133", "A114324", "A301987", "A318029", "A318950", "A319000", "A319005", "A319916", "A324851", "A325037", "A325038", "A325041", "A325044", "A326149", "A326152", "A326155", "A379666", "A379668", "A379671", "A379678", "A379720", "A379721", "A379722", "A379733", "A379734", "A379735", "A379736" ]
null
Gus Wiseman, Jan 07 2025
2025-01-07T19:05:18
oeisdata/seq/A379/A379734.seq
7ed2b9c7aa39bfdf916e0cb4ef428db9
A379735
Number of strict integer partitions of n into parts > 1 whose product is a multiple of n.
[ "0", "1", "1", "1", "1", "1", "1", "1", "2", "2", "1", "3", "1", "3", "4", "4", "1", "8", "1", "11", "9", "7", "1", "26", "7", "10", "18", "33", "1", "67", "1", "56", "37", "20", "69", "158", "1", "27", "70", "252", "1", "280", "1", "207", "402", "52", "1", "834", "133", "423", "226", "465", "1", "1132", "635", "1541", "388", "129", "1", "3377", "1", "171", "2891", "3561", "1674", "3154" ]
[ "nonn" ]
8
1
9
[ "A000009", "A000041", "A001055", "A002865", "A025147", "A057567", "A057568", "A069016", "A096276", "A111133", "A114324", "A301987", "A318029", "A319000", "A319005", "A319057", "A319916", "A324851", "A325037", "A325038", "A325044", "A326149", "A326152", "A326155", "A379666", "A379668", "A379671", "A379678", "A379720", "A379721", "A379722", "A379733", "A379734", "A379735", "A379736" ]
null
Gus Wiseman, Jan 07 2025
2025-01-07T21:20:53
oeisdata/seq/A379/A379735.seq
3cf1e681e04921dc588d2266fe4f5e6a
A379736
Number of integer partitions of n whose product of parts is not n.
[ "1", "0", "1", "2", "3", "6", "9", "14", "19", "28", "40", "55", "73", "100", "133", "174", "226", "296", "381", "489", "623", "790", "1000", "1254", "1568", "1956", "2434", "3007", "3714", "4564", "5599", "6841", "8342", "10141", "12308", "14881", "17968", "21636", "26013", "31183", "37331", "44582", "53169", "63260", "75171", "89130", "105556" ]
[ "nonn" ]
5
0
4
[ "A000009", "A000041", "A001055", "A002865", "A025147", "A028422", "A057567", "A057568", "A069016", "A096276", "A111133", "A114324", "A301987", "A318029", "A319000", "A319005", "A319916", "A324851", "A325036", "A325037", "A325038", "A325041", "A325044", "A326149", "A326152", "A326155", "A379666", "A379668", "A379671", "A379678", "A379720", "A379721", "A379722", "A379733", "A379734", "A379735", "A379736" ]
null
Gus Wiseman, Jan 07 2025
2025-01-08T09:28:28
oeisdata/seq/A379/A379736.seq
965bd5574648f2411a63b1e73bac7644
A379737
Triangle read by rows where, for n >= k, T(n,k) is the number of factorizations of n into distinct factors > 1 with sum k.
[ "0", "0", "1", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "0", "1", "0", "0", "0", "0", "1", "1", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "1", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "1", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "1", "1", "0", "0", "0", "1" ]
[ "nonn", "tabl" ]
8
1
null
[ "A000009", "A000041", "A001055", "A002865", "A008284", "A025147", "A028422", "A045778", "A057567", "A057568", "A069016", "A096276", "A111133", "A114324", "A301987", "A316439", "A318029", "A318950", "A319000", "A319005", "A319057", "A319916", "A325036", "A325037", "A325038", "A325044", "A326149", "A326152", "A326155", "A326156", "A326172", "A326622", "A328966", "A379666", "A379667", "A379668", "A379669", "A379670", "A379671", "A379672", "A379678", "A379679", "A379680", "A379720", "A379721", "A379722", "A379733", "A379736", "A379737" ]
null
Gus Wiseman, Jan 03 2025
2025-01-06T03:55:54
oeisdata/seq/A379/A379737.seq
4c104e1389b5b852fb30a9bf5bbfbfad
A379738
Numbers k such that prime(k) and prime(k) + 9*k are anagrams.
[ "8", "55", "60", "61", "228", "440", "455", "550", "555", "568", "578", "1508", "1774", "1778", "1795", "1796", "1808", "2218", "2222", "2308", "2411", "2519", "2520", "2834", "2843", "2885", "3304", "3386", "3440", "4000", "4281", "4390", "4906", "4994", "4999", "5090", "5110", "9777", "9788", "9966", "10239", "11780", "11882", "11930", "12330", "13873", "13887", "14259" ]
[ "nonn", "base" ]
8
1
1
[ "A379208", "A379738" ]
null
Jean-Marc Rebert, Dec 31 2024
2025-01-03T18:41:52
oeisdata/seq/A379/A379738.seq
32829591851eec3769e250d53a25024c
A379739
Subdiagonal of the Hurt-Sada array.
[ "2", "3", "4", "3", "7", "8", "9", "6", "7", "13", "14", "9", "10", "18", "19", "12", "13", "23", "24", "25", "16", "28", "29", "30", "19", "20", "34", "35", "22", "23", "39", "40", "25", "26", "44", "45", "46", "29", "49", "50", "51", "32", "54", "55", "56", "35", "36", "60", "61", "38", "39", "65", "66", "67", "42", "70", "71", "72", "45", "75", "76", "77", "48", "49", "81", "82", "51" ]
[ "nonn" ]
34
1
1
[ "A368050", "A379739", "A380079" ]
null
Jeffrey Shallit, Jan 14 2025
2025-01-19T14:26:26
oeisdata/seq/A379/A379739.seq
56100311b9414e0f6e3d6717555f9e91
A379740
Number of calls to Karatsuba's multiplication algorithm K(x,y) when recursively calculating K(Fibonacci(n),Fibonacci(n+1)) in decimal digits.
[ "1", "1", "1", "1", "1", "1", "4", "4", "4", "7", "7", "10", "10", "10", "10", "16", "22", "19", "19", "25", "25", "25", "31", "31", "22", "34", "34", "34", "34", "25", "43", "40", "40", "55", "37", "43", "55", "61", "61", "64", "67", "79", "79", "64", "70", "76", "82", "91", "106", "106", "97", "106", "112", "97", "103", "106", "97", "91", "94", "109", "130", "133", "127", "121", "118" ]
[ "nonn" ]
29
1
7
[ "A000045", "A055642", "A379740" ]
null
Darío Clavijo, Jan 09 2025
2025-01-11T08:54:12
oeisdata/seq/A379/A379740.seq
ce00784541e725c6c0e6a4336bb187a9
A379741
Number of cyclic edge cuts in the (2n-1)-triangular snake graph.
[ "0", "0", "0", "3", "81", "1374", "18738", "224649", "2473443", "25639428", "254139876", "2433890895", "22685594805", "206878779882", "1853184109014", "16356052422741", "142570655572167", "1229696463806736", "10511110759078152", "89151460774796187", "751086607464533529", "6290887041127983990" ]
[ "nonn", "easy" ]
28
1
4
null
null
Eric W. Weisstein, Dec 31 2024
2025-02-11T09:16:28
oeisdata/seq/A379/A379741.seq
6c39ce39e7994a661f1f939c5a5346fb
A379742
a(n) is the number of divisors of A000178(n).
[ "1", "1", "2", "6", "18", "72", "234", "1088", "3600", "10416", "28080", "124080", "387828", "1921024", "6926400", "20941344", "54934880", "251328000", "810152280", "4254092800", "15266200950", "46208448000", "129674387920", "640501862400", "2197261252368", "6404827161600", "17436935577600", "43314231340800", "101062601640000", "436914124416000", "1355859833328000", "7074064925491200" ]
[ "nonn" ]
21
0
3
[ "A000005", "A000178", "A027423", "A379742" ]
null
Tsuyoshi Hanatate, Dec 31 2024
2025-01-16T02:39:10
oeisdata/seq/A379/A379742.seq
637030bda050293fc2c6db3bbe5139ba
A379743
a(n) is the smallest prime whose digital sum in base n is n.
[ "3", "5", "7", "13", "11", "13", "29", "17", "19", "31", "23", "37", "53", "29", "31", "97", "103", "37", "191", "41", "43", "67", "47", "73", "101", "53", "109", "113", "59", "61", "311", "97", "67", "103", "71", "73", "149", "191", "79", "241", "83", "127", "173", "89", "181", "139", "283", "97", "197", "101", "103", "157", "107", "109", "331", "113", "229", "233", "709", "181", "367", "311", "127", "193", "131", "199", "269" ]
[ "nonn", "base", "look" ]
11
2
1
[ "A214123", "A379743" ]
null
Robert Israel, Dec 31 2024
2025-01-04T22:29:33
oeisdata/seq/A379/A379743.seq
5d7618514269c228937f8660386c4798
A379744
Number of primitive Pythagorean quintuples (a, b, c, d, e) with 0 < a <= b <= c <= d <= e <= 10^n.
[ "10", "5568", "5302303", "5279762116", "5277410421368", "5277177914347752", "5277147974562930196", "5277145259376056385184", "5277145005746992952994327" ]
[ "nonn", "more" ]
16
1
1
[ "A101931", "A157085", "A225207", "A379744" ]
null
Asif Ahmed, Dec 31 2024
2025-01-14T10:43:42
oeisdata/seq/A379/A379744.seq
b374bbb162189f3175ae04164cb78ca5
A379745
a(n) = Sum_{k=1..n-1} binomial(n, k)*2^(n-k-1)*(k-1).
[ "0", "0", "3", "20", "95", "394", "1519", "5592", "19935", "69398", "237215", "799204", "2661295", "8776962", "28714191", "93300656", "301392575", "968682286", "3099626047", "9879746748", "31382108175", "99375452570", "313814790383", "988511766280", "3106741678495", "9743852563014", "30502457048799", "95320102780052", "297398570349935", "926510631296818", "2882476923066895", "8956266393600864", "27795307127744895", "86165447371545182", "266834924374534271" ]
[ "nonn", "easy" ]
20
1
3
null
null
Ocean Wong, Jan 01 2025
2025-01-07T19:06:23
oeisdata/seq/A379/A379745.seq
cc50fceaf42f9a084d55fea99282a5d2
A379746
a(1)=1. For n>1 if a(n-1)=A002110(k), a(n)=prime(k+1). Otherwise a(n) is the smallest novel number whose prime factors have already occurred as previous terms.
[ "1", "2", "3", "4", "6", "5", "8", "9", "10", "12", "15", "16", "18", "20", "24", "25", "27", "30", "7", "14", "21", "28", "32", "35", "36", "40", "42", "45", "48", "49", "50", "54", "56", "60", "63", "64", "70", "72", "75", "80", "81", "84", "90", "96", "98", "100", "105", "108", "112", "120", "125", "126", "128", "135", "140", "144", "147", "150", "160", "162", "168", "175", "180" ]
[ "nonn", "easy" ]
31
1
2
[ "A000027", "A000040", "A002110", "A007947", "A053669", "A162306", "A351495", "A363061", "A368108", "A377566", "A379746" ]
null
David James Sycamore, Jan 01 2025
2025-01-07T08:42:50
oeisdata/seq/A379/A379746.seq
b612fffbf4a2f08300e71e9b44c59ac6
A379747
The number of Hamiltonian cycles with rotational symmetry of order 3 on the triangular grid, n vertices on each side.
[ "0", "1", "1", "0", "2", "6", "0", "52", "270", "0", "17130", "189154", "0", "51417622" ]
[ "nonn", "more" ]
19
1
5
[ "A112676", "A379747" ]
null
Nicolay Avilov, Jan 01 2025
2025-01-06T15:13:33
oeisdata/seq/A379/A379747.seq
8b2fdaf3394f0e262247a20c13f330ea
A379748
a(n) is the number of ways to arrange any number of unit square cells into an i X j rectangle which contains exactly n square subarrays of all sizes.
[ "1", "1", "1", "1", "2", "1", "1", "2", "1", "1", "2", "1", "1", "3", "1", "1", "2", "1", "1", "3", "1", "1", "2", "1", "1", "3", "1", "1", "2", "2", "1", "3", "1", "1", "2", "1", "1", "3", "1", "2", "2", "1", "1", "3", "1", "1", "2", "1", "1", "4", "1", "1", "2", "1", "2", "3", "1", "1", "2", "2", "1", "3", "1", "1", "2", "1", "1", "3", "1", "3", "2", "1", "1", "3", "1", "1", "2", "1", "1", "4", "1", "1", "2", "1", "2", "3", "1", "1", "2" ]
[ "nonn" ]
41
1
5
[ "A082652", "A379748" ]
null
Michael Adams, Jan 02 2025
2025-01-15T08:35:44
oeisdata/seq/A379/A379748.seq
3605b1d1afcd30e734969d2e61854487
A379749
a(n) is the first prime that has digit sum n in base n and n+1 in base n+1.
[ "5", "7", "13", "41", "31", "43", "113", "73", "181", "331", "397", "157", "547", "211", "241", "1361", "307", "2053", "761", "421", "463", "1013", "1657", "601", "1301", "3511", "757", "2437", "1741", "1861", "5953", "2113", "1123", "2381", "2521", "6661", "4219", "1483", "3121", "13121", "1723", "3613", "9461", "9901", "6211", "12973", "4513", "7057", "7351", "2551", "15913", "8269", "25759", "2971" ]
[ "nonn", "base", "look" ]
15
2
1
[ "A002061", "A055494", "A379743", "A379749" ]
null
Robert Israel, Jan 01 2025
2025-01-04T22:30:19
oeisdata/seq/A379/A379749.seq
5e977098150163e0e298eb8462fd8625
A379750
First prime of cousin prime pairs which differ, in their binary representation, by a single bit.
[ "3", "19", "43", "67", "97", "163", "193", "307", "313", "379", "457", "499", "643", "673", "739", "769", "859", "883", "907", "937", "1009", "1297", "1483", "1489", "1579", "1609", "1867", "1873", "1993", "2083", "2137", "2203", "2347", "2377", "2473", "2539", "2617", "2659", "2683", "2689", "2707", "2833", "2857", "2953", "3019", "3163", "3187", "3217" ]
[ "nonn", "base" ]
48
1
1
[ "A023200", "A047471", "A071695", "A379750" ]
null
James S. DeArmon, Jan 01 2025
2025-03-02T08:00:29
oeisdata/seq/A379/A379750.seq
544e160442553ecf3027705d821488fe
A379751
Decimal expansion of Ni_3 = gamma/4 - log(2*Pi)/2 - 3*zeta'(-1) + 3*zeta'(-2) + 7/12, where gamma = A001620.
[ "2", "1", "3", "6", "1", "6", "7", "7", "6", "2", "8", "0", "2", "1", "6", "7", "8", "2", "0", "0", "5", "6", "3", "6", "0", "0", "8", "7", "6", "3", "1", "9", "3", "8", "9", "9", "5", "8", "3", "5", "8", "3", "3", "8", "4", "0", "5", "1", "2", "1", "4", "3", "6", "2", "4", "5", "8", "2", "7", "4", "8", "5", "1", "0", "6", "6", "7", "5", "0", "2", "1", "4", "2", "6", "5", "4", "0", "9", "9", "2", "5", "6", "1", "8", "0", "1", "8", "3", "4", "6", "8", "7", "5", "2", "1", "8", "6", "0", "1", "7", "9", "4", "0", "3", "5" ]
[ "cons", "nonn" ]
6
0
1
[ "A000796", "A001620", "A074962", "A131688", "A321943", "A379425", "A379751" ]
null
Artur Jasinski, Jan 01 2025
2025-01-03T02:01:04
oeisdata/seq/A379/A379751.seq
1cd015ce758e602e3a1c8b24ecdc5497
A379752
Number of pairs (d, k/d), d | k, d < k/d, such that gcd(d, k/d) > 1 and neither rad(d) | k/d nor rad(k/d) | d, where k is in A375055.
[ "1", "1", "1", "2", "1", "1", "1", "1", "1", "2", "2", "1", "1", "1", "1", "1", "3", "2", "1", "2", "2", "1", "2", "1", "2", "1", "1", "2", "1", "3", "1", "1", "1", "1", "3", "1", "1", "2", "1", "2", "2", "1", "3", "2", "1", "2", "2", "1", "2", "1", "4", "1", "1", "1", "3", "1", "2", "1", "1", "3", "1", "3", "1", "2", "1", "3", "1", "1", "1", "1", "2", "2", "3", "2", "2", "1", "3", "3", "1", "1", "1", "3", "1", "4", "2", "2", "1" ]
[ "nonn", "easy" ]
7
1
4
[ "A375055", "A379752" ]
null
Michael De Vlieger, Jan 01 2025
2025-01-03T13:41:57
oeisdata/seq/A379/A379752.seq
d3d736bddbfe60ae4b29d13f09ae27a9
A379753
Numbers that set records in A379752.
[ "60", "120", "240", "480", "840", "1260", "1680", "2520", "3360", "5040", "7560", "10080", "15120", "20160", "27720", "36960", "55440", "83160", "110880", "166320", "221760", "277200", "332640", "443520", "498960", "554400", "665280", "720720", "997920", "1081080", "1330560", "1441440", "2162160", "2882880", "3603600", "4324320", "5765760" ]
[ "nonn" ]
12
1
1
[ "A002182", "A002201", "A025487", "A375055", "A379752", "A379753", "A379754" ]
null
Michael De Vlieger, Jan 01 2025
2025-01-03T13:42:14
oeisdata/seq/A379/A379753.seq
c7cd26a8e74406443d3c98165d5b8865
A379754
Records in A379752.
[ "1", "2", "3", "4", "6", "7", "9", "11", "12", "15", "16", "19", "21", "23", "27", "28", "37", "40", "47", "53", "57", "59", "66", "67", "69", "73", "79", "81", "85", "88", "92", "103", "117", "125", "133", "146", "147", "153", "165", "175", "185", "189", "197", "204", "227", "229", "237", "245", "269", "281", "289", "306", "311", "321", "349", "367", "393", "397", "417", "428" ]
[ "nonn" ]
7
1
2
[ "A379554", "A379752", "A379753", "A379754" ]
null
Michael De Vlieger, Jan 01 2025
2025-01-04T07:39:22
oeisdata/seq/A379/A379754.seq
7f171552c5a798d7ba7e3dc0720ca381
A379755
Orders k of groups where at least one group has a simple automorphism group.
[ "3", "4", "6", "8", "16", "32", "64", "128", "256", "512", "1024" ]
[ "nonn", "more" ]
9
1
1
[ "A000079", "A001228", "A379755" ]
null
Miles Englezou, Jan 01 2025
2025-01-14T09:54:09
oeisdata/seq/A379/A379755.seq
2b6fe9d7f41cfac1ead6f269de9fba64
A379756
a(n) is the number of subsets of S(n) that sum to A023196(n), where S(n) is the set of the proper divisors (or aliquot parts) of A023196(n).
[ "1", "2", "2", "1", "5", "1", "3", "7", "3", "2", "10", "3", "2", "34", "2", "0", "31", "1", "6", "25", "1", "23", "21", "2", "1", "1", "20", "4", "1", "279", "13", "15", "1", "15", "116", "9", "11", "12", "4", "197", "1", "2", "755", "1", "42", "2", "9", "12", "6", "2", "151", "169", "7", "1", "9", "8", "6", "2190", "1", "516", "1", "6", "121", "130", "1", "6", "119", "1", "469", "4", "446", "1", "4", "6" ]
[ "nonn" ]
7
1
2
[ "A000203", "A000396", "A001065", "A005101", "A023196", "A026793", "A027750", "A033630", "A033882", "A064771", "A065205", "A379756" ]
null
Felix Huber, Feb 07 2025
2025-02-15T14:28:15
oeisdata/seq/A379/A379756.seq
19c125860b7e1ec50eba6a04b8fd0302
A379757
a(n) = a(n-1) + 1 with two exceptions: if a(n-1) is prime, a(n) = a(n-2) + a(n-1), or if a(n-1) is a power, a(n) = a(n-1) / (root factor), with initial three terms are 0, 1, 2.
[ "0", "1", "2", "3", "5", "8", "4", "2", "6", "7", "13", "20", "21", "22", "23", "45", "46", "47", "93", "94", "95", "96", "97", "193", "290", "291", "292", "293", "585", "586", "587", "1173", "1174", "1175", "1176", "1177", "1178", "1179", "1180", "1181", "2361", "2362", "2363", "2364", "2365", "2366", "2367", "2368", "2369", "2370", "2371", "4741", "4742", "4743" ]
[ "nonn", "easy" ]
27
1
3
[ "A000045", "A001597", "A089580", "A379757" ]
null
Bill McEachen, Jan 02 2025
2025-04-13T16:24:18
oeisdata/seq/A379/A379757.seq
75f590a8d321ed349df0aae372682609
A379758
Number of sequences in which the games of a fully symmetric single-elimination tournament with 2^n teams can be played if arbitrarily many arenas are available.
[ "1", "3", "365", "1323338487", "1119556146543237253601352961", "3414445659328795239581367793706562556567987857578516541118092297328702035" ]
[ "nonn" ]
33
1
2
[ "A056972", "A379758", "A380166" ]
null
Noah A Rosenberg, Jan 01 2025
2025-03-10T21:30:08
oeisdata/seq/A379/A379758.seq
6daa1599b3b93fe673e5a2a3fb746221
A379759
Minimum number of kings that must be placed on an n X n chessboard such that each square is attacked or occupied by at least three kings.
[ "3", "5", "12", "12", "16", "27", "27", "33", "48", "48", "56", "75", "75", "85", "108", "108", "120", "147", "147", "161", "192", "192", "208", "243", "243", "261", "300", "300", "320", "363", "363", "385", "432", "432", "456", "507", "507", "533", "588", "588", "616", "675", "675", "705", "768", "768", "800", "867", "867", "901", "972", "972", "1008", "1083", "1083" ]
[ "nonn" ]
30
2
1
[ "A075561", "A379726", "A379759", "A379766" ]
null
Matthew Scroggs, Jan 02 2025
2025-01-18T09:33:53
oeisdata/seq/A379/A379759.seq
3da048938205c765aea5c8299040f4e2
A379760
Smallest prime that is the sum of 2n+1 cubes of consecutive odd primes.
[ "66347", "15643", "81647", "279397", "1961623", "3701627", "5644601", "2505187", "8016551", "4695947", "9335519", "6819443", "12830327", "35259463", "35278489", "56759723", "39944393", "86442623", "186387137", "95860493", "118647143", "170943137", "118651139", "509399153", "241399309", "381448853", "877324879" ]
[ "nonn" ]
43
1
1
[ "A030078", "A082244", "A379760", "A380319" ]
null
Michel Lagneau, Jan 02 2025
2025-02-03T02:24:13
oeisdata/seq/A379/A379760.seq
5ae2203a4b86c05d4412a3dfdf22908d
A379761
Beginning with 7, least prime such that concatenation of first n terms and its digit reversal both are primes.
[ "7", "3", "3", "31", "389", "1021", "2243", "1831", "5849", "15361", "9887", "3877", "4157", "919", "22637", "14449", "27617", "80221", "5039", "51043", "14009", "126079", "24443", "68311", "49193", "47059", "13049", "253681", "271409", "221227", "138869", "116953", "146297", "21841", "1211549", "322501", "212633", "281791", "216071", "1901749", "38747", "116437" ]
[ "base", "nonn" ]
20
1
1
[ "A111382", "A111383", "A113584", "A379354", "A379355", "A379761" ]
null
J.W.L. (Jan) Eerland, Jan 02 2025
2025-01-17T07:02:24
oeisdata/seq/A379/A379761.seq
6d14ef0780041de5798ab5604c238f29
A379762
Products of 4 distinct primes numbers (or tetraprimes) that are abundant.
[ "210", "330", "390", "462", "510", "546", "570", "690", "714", "770", "798", "858", "870", "910", "930", "966", "1110", "1122", "1190", "1218", "1230", "1254", "1290", "1302", "1326", "1330", "1410", "1430", "1482", "1518", "1554", "1590", "1610", "1722", "1770", "1794", "1806", "1830", "1870", "1914", "1938", "1974", "2002", "2010", "2030", "2046", "2090", "2130", "2170", "2190", "2210", "2226", "2262", "2346", "2370", "2418", "2442", "2470", "2478", "2490", "2530", "2562", "2590", "2622" ]
[ "nonn" ]
50
1
1
[ "A001065", "A005101", "A046386", "A378717", "A379762", "A379917" ]
null
Massimo Kofler, Jan 09 2025
2025-01-13T13:15:20
oeisdata/seq/A379/A379762.seq
a87411876e9d9fe71c4400125f3ff027
A379763
G.f. A(x) satisfies 1/2 = Sum_{n=-oo..+oo} x^n * (A(x) + x^n)^(n-1).
[ "1", "8", "28", "80", "340", "2872", "23272", "150496", "878032", "5590352", "40944964", "308188080", "2214574160", "15460447160", "109979357264", "810265214336", "6054587741784", "44971580074120", "332187742343988", "2466464253968144", "18500526368526048", "139644462606436800", "1055241582609777512", "7976465101937086048" ]
[ "nonn" ]
10
0
2
[ "A379763", "A379765" ]
null
Paul D. Hanna, Jan 22 2025
2025-01-22T03:39:18
oeisdata/seq/A379/A379763.seq
a7b167e11af3407b9fca4593bf4f966d
A379764
G.f. A(x) satisfies Sum_{n=-oo..+oo} (4^n*A(x)^n - 4*A(x))^(n+1) = 2*theta_4(x) = 2*Sum_{n=-oo..+oo} (-x)^(n^2).
[ "1", "4", "16", "255", "4344", "49104", "543744", "8203012", "130252849", "1857148424", "26419178032", "406394717168", "6385382646008", "98146593920416", "1511699308553216", "23809523580124415", "378539261694956840", "6005705853112822740", "95566360664123435568", "1532797305341786038280", "24704276598971103213152", "398854924231120034019280" ]
[ "nonn" ]
17
1
2
[ "A002448", "A378582", "A379764" ]
null
Paul D. Hanna, Jan 13 2025
2025-01-22T04:19:40
oeisdata/seq/A379/A379764.seq
f9d40381c86000964a93aa7b4c863c7b
A379765
G.f. A(x) satisfies 1/2 = Sum_{n=-oo..+oo} (-1)^n * x^(2*n) * (A(x) + (-x)^n)^(2*n-1).
[ "1", "4", "16", "108", "764", "5772", "45608", "372112", "3110868", "26511720", "229465696", "2011560120", "17823251908", "159361875452", "1436070211128", "13029220181024", "118919107720504", "1091130632899108", "10058749510188900", "93119868866604632", "865350260237277984", "8069341311245971172", "75482617925071807900" ]
[ "nonn" ]
7
0
2
[ "A379763", "A379765" ]
null
Paul D. Hanna, Jan 22 2025
2025-01-22T03:27:16
oeisdata/seq/A379/A379765.seq
c1274182cf0f9d25f97fe9b21ff71da1
A379766
Minimum number of kings that must be placed on an n X n chessboard such that each square is attacked or occupied by at least four kings.
[ "4", "9", "16", "16", "24", "36", "36", "47", "64", "64", "78", "100", "100", "117", "144", "144", "164", "196", "196", "219", "256", "256", "282", "324", "324", "353", "400", "400", "432", "484", "484", "519", "576", "576", "614", "676", "676", "717", "784", "784", "828", "900", "900", "947", "1024", "1024", "1074", "1156", "1156", "1209", "1296", "1296", "1352" ]
[ "nonn" ]
30
2
1
[ "A379726", "A379759", "A379766" ]
null
Matthew Scroggs, Jan 02 2025
2025-01-27T05:36:52
oeisdata/seq/A379/A379766.seq
13778647f83f6122738bd335d8e55f2a
A379767
Triangle read by rows: row n lists numbers which are the n-th powers of their digit sum.
[ "0", "1", "2", "3", "4", "5", "6", "7", "8", "9", "0", "1", "81", "0", "1", "512", "4913", "5832", "17576", "19683", "0", "1", "2401", "234256", "390625", "614656", "1679616", "0", "1", "17210368", "52521875", "60466176", "205962976", "0", "1", "34012224", "8303765625", "24794911296", "68719476736", "0", "1", "612220032", "10460353203", "27512614111", "52523350144", "271818611107", "1174711139837", "2207984167552", "6722988818432" ]
[ "base", "tabf", "nonn" ]
22
1
3
[ "A001014", "A007953", "A046019", "A061209", "A061210", "A061211", "A133509", "A152147", "A254000", "A375343", "A379767" ]
null
René-Louis Clerc, Jan 02 2025
2025-01-18T09:33:52
oeisdata/seq/A379/A379767.seq
dd99436c0d80a81f8b92551957cf87cc
A379768
a(n) is the smallest prime p such that omega(p^n + 1) = n.
[ "2", "3", "5", "43", "17", "47", "151", "1697", "59", "2153", "521", "13183", "30089", "66569", "761" ]
[ "nonn", "more", "hard" ]
17
1
1
[ "A001221", "A219018", "A242786", "A280005", "A362957", "A379450", "A379768" ]
null
Daniel Suteu, Jan 06 2025
2025-01-12T09:14:45
oeisdata/seq/A379/A379768.seq
881990908eaee6638fce8e61caf819bc
A379769
a(n) = (A006218(n) mod n).
[ "0", "1", "2", "0", "0", "2", "2", "4", "5", "7", "7", "11", "11", "13", "0", "2", "1", "4", "3", "6", "7", "8", "7", "12", "12", "13", "14", "17", "16", "21", "20", "23", "24", "25", "26", "32", "31", "32", "33", "38", "37", "0", "41", "0", "2", "2", "0", "6", "5", "7", "7", "9", "7", "11", "11", "15", "15", "15", "13", "21", "19", "19", "21", "24", "24", "28", "26", "28", "28", "32", "30", "38", "36", "36", "38", "40", "40", "44" ]
[ "nonn", "look" ]
21
1
3
[ "A006218", "A050226", "A379769" ]
null
Ctibor O. Zizka, Jan 06 2025
2025-01-07T10:07:09
oeisdata/seq/A379/A379769.seq
4d67863daa4c5c5278e4c36163ce1767
A379770
Irregular triangle T(j,k) read by rows: split the natural numbers m > 1 into groups of length 2^s and then sort each group in the order defined in A019565.
[ "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "12", "11", "13", "14", "15", "16", "17", "18", "20", "19", "24", "21", "25", "22", "26", "23", "28", "27", "29", "30", "31", "32", "33", "34", "36", "35", "40", "37", "48", "41", "38", "42", "49", "39", "50", "44", "43", "52", "51", "45", "56", "46", "53", "57", "54", "47", "58", "55", "60", "59", "61", "62", "63", "64", "65", "66", "68", "67" ]
[ "nonn", "tabf", "easy" ]
11
0
2
[ "A019565", "A379770" ]
null
Michael De Vlieger, Jan 02 2025
2025-01-04T22:46:29
oeisdata/seq/A379/A379770.seq
99309f75bd517ff7289fa746d8a3fff5
A379771
Number of k <= n that are neither squarefree nor prime powers.
[ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "1", "1", "1", "1", "1", "2", "2", "3", "3", "3", "3", "4", "4", "4", "4", "5", "5", "5", "5", "5", "5", "5", "5", "6", "6", "6", "6", "7", "7", "7", "7", "8", "9", "9", "9", "10", "10", "11", "11", "12", "12", "13", "13", "14", "14", "14", "14", "15", "15", "15", "16", "16", "16", "16", "16", "17", "17", "17", "17", "18", "18", "18", "19", "20", "20" ]
[ "nonn", "easy" ]
15
1
18
[ "A013928", "A065515", "A126706", "A355447", "A379771" ]
null
Michael De Vlieger, Jan 10 2025
2025-01-22T20:11:13
oeisdata/seq/A379/A379771.seq
8a577306b751e13efe1364103c3e9aa6
A379772
Number of pairs (d, k/d), d | k, d < k/d, such that gcd(d, k/d) is not in {1, d, k/d} and either rad(d) | k/d or rad(k/d) | d, where k = A378767(n).
[ "1", "1", "1", "1", "1", "1", "1", "1", "2", "1", "1", "1", "1", "1", "1", "1", "1", "2", "1", "1", "1", "1", "1", "2", "1", "1", "2", "2", "1", "1", "1", "1", "1", "1", "1", "1", "2", "1", "1", "1", "1", "2", "1", "1", "1", "1", "1", "2", "2", "1", "1", "1", "1", "3", "1", "1", "1", "1", "2", "1", "2", "1", "2", "1", "1", "1", "1", "2", "2", "1", "1", "1", "2", "1", "1", "1", "1", "2", "2", "1", "1", "1", "1", "2", "1", "1", "1" ]
[ "nonn" ]
5
1
9
[ "A001221", "A007947", "A378767", "A379772" ]
null
Michael De Vlieger, Jan 02 2025
2025-01-09T19:16:29
oeisdata/seq/A379/A379772.seq
cbe668d963ea5f3a8b1f4916925c1d4f
A379773
Numbers that set records in in A379772.
[ "24", "96", "384", "1080", "2160", "4320", "8640", "12960", "17280", "34560", "38880", "69120", "77760", "108000", "155520", "311040", "432000", "622080", "756000", "1512000", "2268000", "3024000", "4536000", "5292000", "6804000", "9072000", "12096000", "13608000", "21168000", "27216000", "47628000", "54432000", "74088000", "81648000" ]
[ "nonn" ]
6
1
1
[ "A025487", "A378767", "A379772", "A379773", "A379774" ]
null
Michael De Vlieger, Jan 04 2025
2025-01-09T19:16:42
oeisdata/seq/A379/A379773.seq
e52bf262c3a72020b782f20608f5f9d8
A379774
Records in A379772.
[ "1", "2", "3", "5", "6", "9", "10", "11", "13", "14", "16", "17", "18", "19", "23", "25", "26", "30", "33", "38", "42", "47", "48", "52", "57", "60", "61", "66", "73", "81", "86", "90", "93", "94", "98", "105", "112", "120", "124", "129", "132", "138", "143", "148", "154", "155", "177", "196", "203", "204", "225", "228", "244", "267", "269", "273", "282", "300", "318", "342", "345" ]
[ "nonn" ]
6
1
2
[ "A378767", "A379772", "A379773", "A379774" ]
null
Michael De Vlieger, Jan 04 2025
2025-01-09T19:16:52
oeisdata/seq/A379/A379774.seq
bb9567352263b51b31a8d26386bf3038
A379775
a(1) = 2. For n > 1, a(n) = smallest prime factor of c=2*a(n-1)-1 that is not in {a(1), ..., a(n-1)}; if all prime factors of c are in {a(1), ..., a(n-1)}, then we try the next value of c, which is 2*c-1; and so on.
[ "2", "3", "5", "17", "11", "7", "13", "97", "193", "769", "29", "19", "37", "73", "577", "1153", "461", "307", "613", "31", "61", "241", "113", "449", "23", "89", "59", "233", "929", "619", "1237", "2473", "43", "337", "673", "269", "179", "211", "421", "41", "107", "71", "47", "67", "53", "139", "277", "79", "157", "313", "1249", "227", "151", "601", "1201", "4801" ]
[ "nonn" ]
14
1
1
[ "A031439", "A072268", "A131200", "A174162", "A379648", "A379652", "A379775", "A379776" ]
null
Robert C. Lyons, Jan 02 2025
2025-01-03T23:29:10
oeisdata/seq/A379/A379775.seq
c0c42546003bf75422ecc696c97baca5
A379776
a(n) = position of prime(n) in A379775, or a(n) = -1 if prime(n) is not in A379775.
[ "1", "2", "3", "6", "5", "7", "4", "12", "25", "11", "20", "13", "40", "33", "43", "45", "27", "21", "44", "42", "14", "48", "71", "26", "8", "72", "64", "41", "112", "23", "116", "82", "111", "46", "62", "53", "49", "152", "80", "75", "37", "262", "122", "9", "99", "93", "38", "115", "52", "343", "28", "286", "22", "162", "104", "274", "36", "87", "47", "70", "171", "79", "18", "140" ]
[ "nonn", "easy" ]
11
1
2
[ "A379775", "A379776" ]
null
Robert C. Lyons, Jan 02 2025
2025-01-04T12:54:15
oeisdata/seq/A379/A379776.seq
e90ae9e6550d9e8c7e14c03dd16a16c0
A379777
Array A(n, k), n, k >= 0, read by upward antidiagonals; for any v >= 0, the value appears twice in the array: in row A002262(v) and in row A002024(v+1); values in each row are given in strictly increasing order.
[ "0", "0", "1", "1", "2", "3", "3", "2", "4", "6", "6", "4", "5", "7", "10", "10", "7", "5", "8", "11", "15", "15", "11", "8", "9", "12", "16", "21", "21", "16", "12", "9", "13", "17", "22", "28", "28", "22", "17", "13", "14", "18", "23", "29", "36", "36", "29", "23", "18", "14", "19", "24", "30", "37", "45", "45", "37", "30", "24", "19", "20", "25", "31", "38", "46", "55", "55", "46", "38", "31", "25", "20", "26", "32", "39", "47", "56", "66" ]
[ "nonn", "tabl", "easy" ]
10
0
5
[ "A000096", "A000217", "A001477", "A002024", "A002262", "A379777" ]
null
Rémy Sigrist, Jan 02 2025
2025-01-04T11:07:18
oeisdata/seq/A379/A379777.seq
7ee1ea0e5834d9d4b47bca0cb2b45b34
A379778
Triangular array read by rows, T(n,k) is the number of n X n matrices over GF(2) that converge to an idempotent at rank k, n>=0, 0<=k<=n.
[ "1", "1", "1", "4", "6", "1", "64", "112", "28", "1", "4096", "7680", "2240", "120", "1", "1048576", "2031616", "634880", "39680", "496", "1", "1073741824", "2113929216", "682622976", "45711360", "666624", "2016", "1", "4398046511104", "8727373545472", "2863669444608", "198155698176", "3096182784", "10924032", "8128", "1" ]
[ "nonn", "tabl" ]
14
0
4
[ "A053763", "A358649", "A379778" ]
null
Geoffrey Critzer, Jan 02 2025
2025-01-04T07:37:30
oeisdata/seq/A379/A379778.seq
753855578419cfd4d154ae05792febfe
A379779
Numbers k >= 1 such that A007088(k) / A007088(A007953(k)) is an integer.
[ "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "12", "18", "20", "24", "27", "30", "36", "40", "45", "48", "54", "60", "63", "70", "72", "80", "90", "100", "102", "108", "110", "111", "112", "114", "120", "126", "132", "133", "144", "150", "152", "153", "156", "180", "190", "192", "195", "200", "201", "204", "210", "216", "220", "222", "224", "228", "240", "252", "264", "266", "288", "300", "306", "312", "315", "320" ]
[ "nonn", "base" ]
65
1
2
[ "A005349", "A007088", "A007953", "A379779" ]
null
Ctibor O. Zizka, Jan 15 2025
2025-01-16T19:41:36
oeisdata/seq/A379/A379779.seq
8d1e9499d597a12342b9714571c69fb5
A379780
Composite squarefree integers for which the sum of the squares of their factors is a square.
[ "2145", "2730", "4305", "6545", "9030", "10545", "11935", "13398", "13585", "19695", "20202", "20559", "20735", "21318", "23345", "25530", "25665", "26070", "27030", "27265", "28842", "30849", "34255", "35105", "37345", "38335", "40170", "42159", "45105", "47215", "53382", "56145", "57505", "58938", "59334", "60630", "61761", "63921" ]
[ "nonn" ]
10
1
1
[ "A005117", "A134605", "A379780" ]
null
Charles L. Hohn, Jan 02 2025
2025-01-03T20:54:58
oeisdata/seq/A379/A379780.seq
851157617d94fdd6f61934103895898b
A379781
a(1)=1, a(2)=2; thereafter, a(n) is the final value at the bottom of the difference triangle of the sequence thus far.
[ "1", "2", "1", "-2", "0", "7", "-14", "-12", "155", "-408", "-364", "7693", "-30940", "10712", "637701", "-4224222", "9980180", "61922567", "-810337234", "4100137008", "-958593005", "-174952472228", "1662063951016", "-6944673371867", "-22887336602200", "655644589917172", "-5694691183524699", "19946666531550638", "176993602416669640" ]
[ "sign" ]
19
1
2
[ "A010739", "A014182", "A379781" ]
null
Neal Gersh Tolunsky, Jan 02 2025
2025-01-07T10:10:43
oeisdata/seq/A379/A379781.seq
bfd8cb8567681fe0fe2b9ebd3ff697ff
A379782
Successive primes generated in A379355.
[ "3", "23", "223", "31223", "231223", "31231223", "9531231223", "139531231223", "362139531231223", "37362139531231223", "3237362139531231223", "133237362139531231223", "944133237362139531231223", "13944133237362139531231223", "9513944133237362139531231223", "3139513944133237362139531231223", "23139513944133237362139531231223", "323139513944133237362139531231223" ]
[ "nonn", "base" ]
6
1
1
[ "A202997", "A379355", "A379782" ]
null
N. J. A. Sloane, Jan 03 2025
2025-01-03T01:54:17
oeisdata/seq/A379/A379782.seq
4e5adab3f781136a537cff12cdc6b799
A379783
For n >= 2, let b(n) = 1 if A379899(n) is 3 mod 4, 0 if A379899(n) is 1 mod 4; form the RUNS transform of {b(n), n >= 2}.
[ "3", "7", "19", "42", "116", "292", "791", "2085", "5692", "15482", "42709", "118272", "329891", "923905", "2600458", "7344965", "20818129" ]
[ "nonn", "more" ]
19
1
1
[ "A091237", "A379652", "A379783", "A379785", "A379899" ]
null
N. J. A. Sloane, Jan 11 2025
2025-01-11T18:41:21
oeisdata/seq/A379/A379783.seq
099d4a4329b743ee42201cf88359ac69
A379784
Similar to A379899 but start with 1 instead of 2.
[ "1", "5", "3", "7", "11", "19", "23", "31", "13", "17", "29", "37", "41", "53", "61", "73", "89", "97", "101", "109", "113", "43", "47", "59", "67", "71", "79", "83", "103", "107", "127", "131", "139", "151", "163", "167", "179", "191", "199", "211", "223", "227", "239", "251", "263", "271", "283", "307", "311", "331", "347", "359", "367", "379", "383", "137", "149", "157", "173", "181", "193", "197", "229", "233", "241", "257", "269", "277", "281", "293", "313" ]
[ "nonn" ]
8
1
2
[ "A379784", "A379899" ]
null
N. J. A. Sloane, Jan 11 2025
2025-01-11T14:36:36
oeisdata/seq/A379/A379784.seq
7c2a812a8fd5ed1d58273845142998c2
A379785
For n >= 2, let b(n) = 1 if A379652(n) is 3 mod 4, 0 if A379652(n) is 1 mod 4; form the RUNS transform of {b(n), n >= 2}.
[ "1", "8", "1", "1", "2", "1", "2", "3", "1", "3", "2", "4", "1", "1", "1", "2", "1", "3", "2", "1", "3", "1", "1", "5", "2", "2", "3", "3", "4", "4", "1", "1", "3", "2", "1", "2", "1", "3", "1", "6", "1", "3", "2", "1", "2", "2", "1", "1", "1", "2", "1", "1", "1", "4", "2", "1", "1", "1", "1", "15", "1", "3", "3", "1", "5", "1", "1", "3", "1", "1", "1", "2", "1", "2", "1", "1", "1", "3", "1", "1", "4", "3", "1", "2", "1", "1", "2", "2", "1", "1", "1", "2", "1", "4", "1", "2", "1", "2", "1", "1", "1", "2", "1", "2", "1", "2", "1", "7", "2", "2" ]
[ "nonn" ]
13
1
2
[ "A379652", "A379783", "A379785", "A379899" ]
null
N. J. A. Sloane, Jan 11 2025
2025-01-11T18:41:40
oeisdata/seq/A379/A379785.seq
0e201df34b28a13e4c02f797c1cc4691
A379786
a(n) = A379059(n) - 2*n.
[ "0", "-1", "-2", "-1", "-2", "-3", "-2", "-3", "-4", "4", "3", "2", "1", "-5", "5", "4", "3", "2", "-4", "8", "5", "2", "4", "1", "4", "-7", "-3", "-4", "-5", "6", "3", "0", "-3", "-1", "-2", "-3", "-4", "-5", "-6", "-7", "-8", "-9", "-2", "-3", "-4", "-5", "-6", "-7", "-8", "-9", "-10", "-1", "-2", "-3", "-4", "-5", "-6", "-7", "-8", "-9", "-10", "-11", "-2", "-3", "-4", "-5", "-6", "-7", "-8", "-9", "-10", "-11", "-12", "2", "1", "0", "-1", "-2", "-3", "-4", "-5", "-6", "-7", "-8", "-9", "-10", "16", "13" ]
[ "sign" ]
19
0
3
[ "A377901", "A379059", "A379060", "A379786", "A379787" ]
null
N. J. A. Sloane, Jan 13 2025
2025-01-19T05:10:26
oeisdata/seq/A379/A379786.seq
421151c4d7b60a1f3fe98bb92084c6fa
A379787
a(n) = A379060(n) - 2*n.
[ "0", "2", "-1", "3", "0", "6", "3", "0", "-3", "-1", "-2", "-3", "-4", "0", "-1", "-2", "-3", "-4", "-5", "-1", "-2", "-3", "-4", "-5", "-6", "3", "2", "1", "0", "-1", "-2", "-3", "-4", "12", "9", "6", "3", "5", "4", "3", "-6", "10", "9", "8", "7", "6", "5", "4", "3", "2", "-9", "11", "10", "9", "8", "7", "6", "5", "4", "3", "-8", "14", "11", "8", "10", "7", "9", "6", "3", "5", "2", "5", "-11", "-2", "-3", "-4", "11", "10", "9", "8", "2", "7", "4", "1", "-7", "0", "-1", "-2", "-3", "-4", "-5", "-6", "-7", "-8", "-9", "-10", "-11" ]
[ "sign" ]
10
0
2
[ "A377901", "A379059", "A379060", "A379786", "A379787" ]
null
N. J. A. Sloane, Jan 13 2025
2025-01-18T16:19:40
oeisdata/seq/A379/A379787.seq
a223ad9c0e4eaf78f5bb05fc44a5f395
A379788
Sequence Sa of the eight sequences defining the blocks of terms in A377091.
[ "1", "5", "10", "21", "32", "43", "61", "82", "101", "122", "148", "184", "211", "242", "273", "308", "343", "401", "442", "485", "530", "577", "652", "704", "758", "814", "872", "932", "966", "1024", "1060", "1090", "1126", "1191", "1229", "1297", "1370", "1409", "1449", "1521", "1526", "1599", "1604", "1682", "1765", "1850", "1937", "2071", "2118", "2210", "2303", "2308", "2400", "2405", "2501", "2602", "2708", "2863", "2917", "2973" ]
[ "nonn" ]
25
1
2
[ "A377091", "A379788", "A379789", "A379790", "A379791", "A379792", "A379793", "A379794", "A380837" ]
null
N. J. A. Sloane, Jan 17 2025
2025-02-05T14:40:36
oeisdata/seq/A379/A379788.seq
f11ff54a81577195e916baa01e49f61d
A379789
Sequence Sb of the eight sequences defining the blocks of terms in A377091.
[ "1", "3", "6", "13", "18", "25", "32", "42", "51", "62", "73", "98", "113", "128", "145", "162", "181", "201", "222", "243", "266", "290", "337", "366", "394", "419", "452", "479", "478", "516", "544", "546", "578", "613", "612", "651", "684", "721", "720", "761", "763", "804", "801", "842", "883", "926", "970", "1057", "1058", "1105", "1156", "1153", "1205", "1202", "1251", "1302", "1353", "1457", "1459", "1513", "1568", "1625", "1683", "1742", "1801" ]
[ "nonn" ]
21
1
2
[ "A377091", "A379788", "A379789", "A379790", "A379791", "A379792", "A379793", "A379794", "A380837", "A382715", "A382718" ]
null
N. J. A. Sloane, Jan 17 2025
2025-04-13T00:45:20
oeisdata/seq/A379/A379789.seq
92f22f37e17fa9f678aa00288bc2608b
A379790
Sequence Sc of the eight sequences defining the blocks of terms in A377091.
[ "2", "7", "12", "25", "36", "52", "73", "90", "111", "132", "160", "196", "225", "256", "289", "324", "380", "421", "462", "507", "552", "601", "677", "729", "785", "842", "900", "960", "997", "1027", "1087", "1092", "1156", "1224", "1264", "1332", "1371", "1444", "1486", "1522", "1563", "1601", "1641", "1722", "1807", "1892", "1981", "2115", "2163", "2257", "2305", "2353", "2402", "2450", "2551", "2652", "2760", "2914", "2919", "3025" ]
[ "nonn" ]
14
1
1
[ "A377091", "A379788", "A379789", "A379790", "A379791", "A379792", "A379793", "A379794", "A380837" ]
null
N. J. A. Sloane, Jan 17 2025
2025-02-05T14:42:52
oeisdata/seq/A379/A379790.seq
380a404e19ccd5f5ebad78885cfc9266
A379791
Sequence Sd of the eight sequences defining the blocks of terms in A377091.
[ "2", "5", "8", "12", "17", "24", "41", "50", "61", "72", "85", "97", "112", "127", "144", "161", "200", "221", "242", "265", "288", "311", "338", "362", "390", "420", "448", "481", "512", "513", "545", "543", "577", "609", "647", "686", "685", "722", "762", "760", "800", "802", "841", "882", "925", "968", "1011", "1059", "1103", "1152", "1154", "1201", "1203", "1250", "1301", "1352", "1405", "1458", "1456", "1512", "1567", "1682", "1741", "1800", "1861" ]
[ "nonn" ]
15
1
1
[ "A377091", "A379788", "A379789", "A379790", "A379791", "A379792", "A379793", "A379794", "A380837" ]
null
N. J. A. Sloane, Jan 18 2025
2025-02-05T14:39:53
oeisdata/seq/A379/A379791.seq
3efc808d99190da44fd53b3a743713f4
A379792
Sequence Se of the eight sequences defining the blocks of terms in A377091.
[ "3", "8", "13", "26", "37", "53", "74", "91", "112", "133", "161", "197", "226", "257", "290", "325", "381", "422", "463", "508", "553", "602", "678", "730", "786", "843", "901", "961", "998", "1028", "1088", "1093", "1157", "1225", "1265", "1333", "1372", "1445", "1487", "1523", "1564", "1602", "1642", "1723", "1808", "1893", "1982", "2116", "2164", "2258", "2306", "2354", "2403", "2451", "2552", "2653", "2761", "2915", "2920", "3026" ]
[ "nonn" ]
23
1
1
[ "A377091", "A379066", "A379788", "A379789", "A379790", "A379791", "A379792", "A379793", "A379794", "A380837" ]
null
N. J. A. Sloane, Jan 18 2025
2025-02-05T17:52:39
oeisdata/seq/A379/A379792.seq
69fefb8b1456d5afc515021556fe6cf6
A379793
Sequence Sf of the eight sequences defining the blocks of terms in A377091.
[ "2", "4", "8", "13", "19", "25", "40", "50", "60", "72", "84", "99", "113", "129", "145", "163", "200", "220", "242", "264", "288", "314", "338", "367", "394", "421", "452", "480", "512", "511", "544", "546", "579", "616", "649", "683", "684", "722", "759", "761", "800", "798", "840", "882", "924", "968", "1014", "1057", "1106", "1152", "1150", "1200", "1198", "1250", "1300", "1352", "1404", "1458", "1460", "1513", "1569", "1682", "1740", "1800", "1860" ]
[ "nonn" ]
22
1
1
[ "A377091", "A379066", "A379788", "A379789", "A379790", "A379791", "A379792", "A379793", "A379794", "A380837" ]
null
N. J. A. Sloane, Jan 18 2025
2025-02-05T17:52:42
oeisdata/seq/A379/A379793.seq
9a268ab21fafc42c4c169aae2b66c293
A379794
Sequence Sh of the eight sequences defining the blocks of terms in A377091.
[ "1", "3", "12", "18", "24", "32", "39", "49", "59", "71", "98", "112", "128", "144", "162", "180", "199", "219", "241", "263", "286", "339", "363", "390", "422", "448", "482", "483", "508", "545", "543", "578", "612", "613", "645", "685", "723", "724", "760", "758", "796", "799", "839", "881", "923", "966", "1059", "1058", "1104", "1148", "1151", "1196", "1199", "1249", "1299", "1351", "1459", "1457", "1512", "1568", "1624", "1681", "1739", "1799", "1859" ]
[ "nonn" ]
19
1
2
[ "A377091", "A379066", "A379788", "A379789", "A379790", "A379791", "A379792", "A379793", "A379794", "A380837" ]
null
N. J. A. Sloane, Jan 18 2025
2025-02-05T17:52:46
oeisdata/seq/A379/A379794.seq
753da420709a456eb926f4bf43333ab6
A379795
Length of n-th block of consecutive positive terms in A377091.
[ "2", "3", "3", "5", "5", "10", "13", "9", "11", "11", "13", "13", "15", "15", "17", "17", "38", "21", "21", "23", "23", "25", "26", "26", "28", "29", "29", "29", "32", "4", "28", "3", "31", "34", "36", "36", "2", "36", "38", "2", "38", "3", "38", "41", "43", "43", "45", "45", "46", "48", "3", "46", "3", "46", "51", "51", "53", "52", "3", "53", "55", "114", "59", "59", "61", "61", "63", "63", "65", "65", "70", "133", "69", "71", "71", "73", "73", "75", "75", "154", "79", "79", "81", "164", "83", "85" ]
[ "nonn" ]
22
1
1
[ "A377091", "A379066", "A379788", "A379789", "A379790", "A379791", "A379792", "A379793", "A379794", "A379795", "A379796", "A379882", "A380837" ]
null
N. J. A. Sloane, Jan 18 2025
2025-02-05T17:52:49
oeisdata/seq/A379/A379795.seq
2fdcdec6ad17e2d7e6393b197fb6524d
A379796
Length of n-th block of consecutive negative terms in A377091.
[ "2", "2", "8", "6", "6", "8", "8", "10", "10", "15", "23", "14", "16", "16", "18", "18", "20", "20", "22", "22", "24", "50", "26", "28", "28", "29", "31", "5", "26", "32", "2", "33", "34", "4", "32", "37", "37", "4", "34", "3", "35", "2", "40", "42", "42", "44", "89", "2", "46", "45", "2", "46", "2", "50", "50", "55", "102", "2", "53", "56", "56", "58", "58", "60", "60", "124", "64", "64", "66", "66", "68", "68", "70", "70", "144", "74", "74", "76", "76", "78", "78", "83", "159", "82", "168", "86" ]
[ "nonn" ]
22
1
1
[ "A377091", "A379066", "A379788", "A379789", "A379790", "A379791", "A379792", "A379793", "A379794", "A379795", "A379796", "A379882", "A380837" ]
null
N. J. A. Sloane, Jan 18 2025
2025-02-05T17:52:54
oeisdata/seq/A379/A379796.seq
e2f0d8808cbb84323f442616bf9d4ab1
A379797
In A377091, each block of consecutive terms of the same sign is followed by a jump of magnitude +-s^2 for some integer s>0 to a term of the opposite sign; sequence lists the successive values of s.
[ "2", "2", "3", "3", "4", "5", "5", "6", "6", "7", "7", "8", "9", "9", "10", "10", "11", "11", "12", "12", "13", "14", "14", "15", "15", "16", "16", "17", "17", "18", "18", "19", "20", "20", "21", "21", "22", "22", "23", "23", "24", "24", "25", "26", "26", "27", "27", "28", "28", "29", "29", "30", "30", "31", "31", "31", "32", "32", "32", "33", "33", "33", "33", "34", "34", "35", "35", "35", "36", "36", "37", "37", "37", "38", "38", "38", "39", "39", "39", "39", "40", "40", "40", "40", "41", "41" ]
[ "nonn" ]
24
1
1
[ "A377091", "A379066", "A379788", "A379794", "A379797", "A379798", "A380837" ]
null
N. J. A. Sloane, Jan 18 2025
2025-03-30T16:21:52
oeisdata/seq/A379/A379797.seq
5d9a5f3a725b38bc56f9b2df1088ae58
A379798
First differences of A379797.
[ "0", "1", "0", "1", "1", "0", "1", "0", "1", "0", "1", "1", "0", "1", "0", "1", "0", "1", "0", "1", "1", "0", "1", "0", "1", "0", "1", "0", "1", "0", "1", "1", "0", "1", "0", "1", "0", "1", "0", "1", "0", "1", "1", "0", "1", "0", "1", "0", "1", "0", "1", "0", "1", "0", "0", "1", "0", "0", "1", "0", "0", "0", "1", "0", "1", "0", "0", "1", "0", "1", "0", "0", "1", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "1", "0", "1", "0", "1", "0", "1", "1", "0", "0", "1", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "1", "0", "1", "0" ]
[ "nonn" ]
8
1
null
[ "A377091", "A379797", "A379798" ]
null
N. J. A. Sloane, Jan 18 2025
2025-01-18T18:26:20
oeisdata/seq/A379/A379798.seq
5c50e4465c87ba0511c1cd776f3a2b15
A379799
Decimal expansion of solution to 2^x + x = 5.
[ "1", "7", "1", "5", "6", "2", "0", "7", "3", "3", "2", "7", "5", "5", "8", "6", "1", "6", "9", "3", "8", "0", "9", "1", "6", "4", "2", "8", "2", "1", "0", "1", "1", "5", "4", "0", "5", "3", "4", "9", "2", "0", "1", "5", "4", "2", "4", "0", "2", "6", "9", "3", "7", "7", "6", "2", "1", "6", "1", "3", "5", "0", "3", "6", "7", "8", "9", "9", "5", "9", "3", "4", "6", "0", "7", "8", "7", "6", "9", "6", "3", "7", "1", "6", "8", "0", "4", "6", "6", "8", "6", "1", "6", "9", "2", "4", "4", "5", "4", "7", "0", "9", "7", "0", "9", "6", "7", "5", "8" ]
[ "nonn", "cons" ]
12
1
2
null
null
N. J. A. Sloane, Jan 19 2025
2025-01-30T19:38:48
oeisdata/seq/A379/A379799.seq
fe4c6072c0b9bad1a844f9f4d3cb03c9
A379800
Decimal expansion of (1+sqrt(6))/2.
[ "1", "7", "2", "4", "7", "4", "4", "8", "7", "1", "3", "9", "1", "5", "8", "9", "0", "4", "9", "0", "9", "8", "6", "4", "2", "0", "3", "7", "3", "5", "2", "9", "4", "5", "6", "9", "5", "9", "8", "2", "9", "7", "3", "7", "4", "0", "3", "2", "8", "3", "3", "5", "0", "6", "4", "2", "1", "6", "3", "4", "6", "2", "8", "3", "6", "2", "5", "4", "8", "0", "1", "8", "8", "7", "2", "8", "6", "5", "7", "5", "1", "3", "2", "6", "9", "9", "2", "9", "7", "1", "6", "5", "5", "2", "3", "2", "0", "1", "1", "7", "4", "0", "9", "2", "9", "7", "3", "0", "0", "6" ]
[ "nonn", "cons" ]
8
1
2
[ "A115754", "A176051", "A379800", "A379801" ]
null
N. J. A. Sloane, Jan 19 2025
2025-01-21T09:01:53
oeisdata/seq/A379/A379800.seq
69c90a4be0896c24a795976534028250
A379801
Nearest integer to n*(1+sqrt(6))/2.
[ "0", "2", "3", "5", "7", "9", "10", "12", "14", "16", "17", "19", "21", "22", "24", "26", "28", "29", "31", "33", "34", "36", "38", "40", "41", "43", "45", "47", "48", "50", "52", "53", "55", "57", "59", "60", "62", "64", "66", "67", "69", "71", "72", "74", "76", "78", "79", "81", "83", "85", "86", "88", "90", "91", "93", "95", "97", "98", "100", "102", "103", "105", "107", "109", "110", "112", "114", "116", "117", "119", "121", "122", "124", "126", "128", "129", "131", "133", "135" ]
[ "nonn" ]
16
0
2
[ "A000201", "A379800", "A379801", "A379805" ]
null
N. J. A. Sloane, Jan 19 2025
2025-01-21T18:23:46
oeisdata/seq/A379/A379801.seq
d37c757848d956b8ec0e088990a56888