Datasets:
christopher
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oeis

Dataset card Data Studio Files
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2
sequence_id
stringlengths
7
7
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4
573
sequence
listlengths
1
348
keywords
listlengths
1
8
score
int64
1
2.35k
offset_a
int64
-14,827
666,262,453B
offset_b
int64
0
635M
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cross_references
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128
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timestamp
timestamp[us]date
1999-12-11 03:00:00
2025-07-19 00:40:46
filename
stringlengths
29
29
hash
stringlengths
32
32
A015501
a(0)=1, a(1)=12, a(n) = sum_{k=0}^{k=n-1} 12^k a(k).
[ "1", "12", "145", "21025", "36352225", "753836089825", "187579295739424225", "560108963388484644486625", "20069717395324174580677650054625", "8629611143951908451324039380459800198625" ]
[ "nonn", "easy" ]
8
0
2
null
null
Olivier Gérard
2022-09-08T08:44:40
oeisdata/seq/A015/A015501.seq
315a4da5b1d344e633012cc6cd071bc2
A015502
a(1) = 1, a(n) = Sum_{k=1..n-1} (3^k - 1)/2 * a(k).
[ "1", "1", "5", "70", "2870", "350140", "127801100", "139814403400", "458731057555400", "4514831068460246800", "133300387296288786770000", "11806948504381482999365980000", "3137354163532752044074527571580000", "2500979519710095684958538548015855960000" ]
[ "nonn", "easy" ]
20
1
3
[ "A015502", "A015503", "A015506", "A015507", "A015508", "A015509", "A015511", "A015512", "A015513", "A015515", "A036442", "A156296" ]
null
Olivier Gérard
2023-04-30T08:00:34
oeisdata/seq/A015/A015502.seq
07954aa9f6ed4a7c57286c30b52edba6
A015503
a(1) = 1, a(n) = Sum_{k=1..n-1} ((4^k - 1)/3)*a(k).
[ "1", "1", "6", "132", "11352", "3882384", "5303336544", "28966824203328", "632809241545903488", "55296137144764138588416", "19327437631660830304254690816", "27021729207700270170039091739231232", "151116480551518237100547636877027177224192" ]
[ "nonn", "easy" ]
15
1
3
[ "A015502", "A015503", "A015506", "A015507", "A015508", "A015509", "A015511", "A015512", "A015513", "A015515", "A036442" ]
null
Olivier Gérard
2023-04-30T08:00:41
oeisdata/seq/A015/A015503.seq
d62f80cae4cb6599047842bafee88126
A015504
Inverse of 1495th cyclotomic polynomial.
[ "1", "-1", "0", "0", "0", "1", "-1", "0", "0", "0", "1", "-1", "0", "1", "-1", "1", "-1", "0", "1", "-1", "1", "-1", "0", "2", "-2", "1", "0", "-1", "2", "-2", "1", "0", "-1", "2", "-2", "1", "1", "-2", "2", "-1", "0", "1", "-2", "2", "-1", "0", "2", "-3", "2", "0", "-1", "2", "-2", "1", "0", "-1", "2", "-2", "1", "1", "-2", "2", "-1", "0", "1", "-2", "2", "-1", "0", "2", "-3", "2", "0", "-1", "2", "-2", "1", "0", "-1", "2", "-2" ]
[ "sign" ]
13
0
24
null
null
Simon Plouffe
2021-01-05T15:01:00
oeisdata/seq/A015/A015504.seq
010364ca3cb615b317c735fa74b272c2
A015505
Inverse of 1496th cyclotomic polynomial.
[ "1", "0", "0", "0", "-1", "0", "0", "0", "1", "0", "0", "0", "-1", "0", "0", "0", "1", "0", "0", "0", "-1", "0", "0", "0", "1", "0", "0", "0", "-1", "0", "0", "0", "1", "0", "0", "0", "-1", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "-1", "0", "0", "0", "1", "0", "0", "0", "-1" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-07T14:17:57
oeisdata/seq/A015/A015505.seq
1ef1ad007e53c9cc115eb2fb0584085b
A015506
a(1) = 1, a(n) = Sum_{k=1}^{n-1} (5^k - 1)/4 a(k).
[ "1", "1", "7", "224", "35168", "27501376", "107447876032", "2098671914657024", "204950003169660992768", "100073397447688408870744576", "244319893042568615235897903058432", "2982420752607212448380293251367177293824" ]
[ "nonn", "easy" ]
13
1
3
[ "A015502", "A015503", "A015506", "A015507", "A015508", "A015509", "A015511", "A015512", "A015513", "A015515", "A036442" ]
null
Olivier Gérard
2023-04-30T02:06:17
oeisdata/seq/A015/A015506.seq
e8e099e95a513558ccd30559dea023a9
A015507
a(1) = 1, a(n) = Sum_{k=1..n-1} ((6^k - 1)/5)*a(k).
[ "1", "1", "8", "352", "91520", "142405120", "1328924579840", "74403829376081920", "24994031979330942894080", "50376471215620688640734003200", "609214555257707874214915513922355200", "44204249911340791820804231319883906967142400" ]
[ "nonn", "easy" ]
17
1
3
[ "A015502", "A015503", "A015506", "A015507", "A015508", "A015509", "A015511", "A015512", "A015513", "A015515", "A036442" ]
null
Olivier Gérard
2023-04-30T02:07:36
oeisdata/seq/A015/A015507.seq
8a1b48230debc3156ac027126038930d
A015508
a(1) = 1, a(n) = Sum_{k=1..n-1} ((7^k - 1)/6)*a(k).
[ "1", "1", "9", "522", "209322", "586520244", "11501075464596", "1578614616119517768", "1516734501782248791012168", "10200952598655696033329019125136", "480252779391204632593567857157274897424", "158269444415262012661462389451687149577571916192" ]
[ "nonn", "easy" ]
13
1
3
[ "A015502", "A015503", "A015506", "A015507", "A015508", "A015509", "A015511", "A015512", "A015513", "A015515", "A036442" ]
null
Olivier Gérard
2023-05-01T18:33:15
oeisdata/seq/A015/A015508.seq
15f3a2055445502f789611c44a613a2f
A015509
a(1) = 1, a(n) = Sum_{k=1..n-1} ((8^k - 1)/7)*a(k).
[ "1", "1", "10", "740", "433640", "2030302480", "76034827876000", "22779578222682344000", "54596862986901017252624000", "1046838176230046602563156976288000", "160576277008444677145920980328106246720000" ]
[ "nonn", "easy" ]
13
1
3
[ "A015502", "A015503", "A015506", "A015507", "A015508", "A015509", "A015511", "A015512", "A015513", "A015515", "A036442" ]
null
Olivier Gérard
2023-05-01T18:02:09
oeisdata/seq/A015/A015509.seq
92226c6dd677f8523590f08102c9fce2
A015510
Inverse of 1501st cyclotomic polynomial.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "-1" ]
[ "sign" ]
14
0
1
null
null
Simon Plouffe
2017-04-07T14:18:41
oeisdata/seq/A015/A015510.seq
83092e384cef5ca5510c6ad5fab350ae
A015511
a(1) = 1, a(n) = Sum_{k=1..n-1} ((9^k - 1)/8)*a(k).
[ "1", "1", "11", "1012", "830852", "6133349464", "407444538242984", "243599680968409330048", "1310771150941736627904810368", "63477451180042308935531134194562816", "27666523379269090447091129488519658150671616" ]
[ "nonn", "easy" ]
16
1
3
[ "A015502", "A015503", "A015506", "A015507", "A015508", "A015509", "A015511", "A015512", "A015513", "A015515", "A036442" ]
null
Olivier Gérard
2023-05-03T09:55:23
oeisdata/seq/A015/A015511.seq
69e48e57cf2ff9a3fe523f23c3f3aa57
A015512
a(1) = 1, a(n) = Sum_{k=1..n-1} ((10^k - 1)/9)*a(k).
[ "1", "1", "12", "1344", "1494528", "16607195136", "1845258665951232", "2050289046842405289984", "22780991231839211526404702208", "2531221268231904597902043824359735296", "2812468078063201791652852780757078172764209152" ]
[ "nonn", "easy" ]
13
1
3
[ "A015502", "A015503", "A015506", "A015507", "A015508", "A015509", "A015511", "A015512", "A015513", "A015515", "A036442" ]
null
Olivier Gérard
2023-05-03T09:11:45
oeisdata/seq/A015/A015512.seq
c7e2c8c8ca873f6805699fdde2cfc63d
A015513
a(1) = 1, a(n) = Sum_{k=1..n-1} ((11^k - 1)/10)*a(k).
[ "1", "1", "13", "1742", "2552030", "41102995180", "7281683317103260", "14189947350338830620680", "304174136317707285574697584520", "71722670512982436329410134761448960400", "186030135925835196854820049614502274473787544400" ]
[ "nonn", "easy" ]
13
1
3
[ "A015502", "A015503", "A015506", "A015507", "A015508", "A015509", "A015511", "A015512", "A015513", "A015515", "A036442" ]
null
Olivier Gérard
2023-05-04T08:57:21
oeisdata/seq/A015/A015513.seq
b3b0d9dea888aebe318ef3924d7f3882
A015514
Inverse of 1505th cyclotomic polynomial.
[ "1", "-1", "0", "0", "0", "1", "-1", "1", "-1", "0", "1", "-1", "1", "-1", "1", "0", "-1", "1", "-1", "1", "0", "0", "0", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "-1", "0", "0", "0", "1", "-1", "1", "-1", "0", "1", "-1", "1", "-1", "1", "0", "-1", "1", "-1", "1", "0", "0", "0", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-07T14:19:29
oeisdata/seq/A015/A015514.seq
1bcea8440cee55bf970d202a09d2f9b9
A015515
a(1) = 1, a(n) = Sum_{k=1..n-1} ((12^k - 1)/11)*a(k).
[ "1", "1", "14", "2212", "4171832", "94375183504", "25618521062894816", "83450744014073963641408", "3262026661649164626974053098368", "1530121919008888925087797696409496422656", "8612828743790947623482719127044813092555596516864" ]
[ "nonn", "easy" ]
15
1
3
[ "A015502", "A015503", "A015506", "A015507", "A015508", "A015509", "A015511", "A015512", "A015513", "A015515", "A036442" ]
null
Olivier Gérard
2023-05-04T08:57:17
oeisdata/seq/A015/A015515.seq
91b1183d4825daf3ff9c46aacbf758f6
A015516
Inverse of 1507th cyclotomic polynomial.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-07T14:58:47
oeisdata/seq/A015/A015516.seq
6fd7e880f78c1c4d2518a08eba9177e9
A015517
Inverse of 1508th cyclotomic polynomial.
[ "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-07T14:59:30
oeisdata/seq/A015/A015517.seq
fc4dc6383c618563b005998ed465cf42
A015518
a(n) = 2*a(n-1) + 3*a(n-2), with a(0)=0, a(1)=1.
[ "0", "1", "2", "7", "20", "61", "182", "547", "1640", "4921", "14762", "44287", "132860", "398581", "1195742", "3587227", "10761680", "32285041", "96855122", "290565367", "871696100", "2615088301", "7845264902", "23535794707", "70607384120", "211822152361", "635466457082" ]
[ "nonn", "walk", "easy", "changed" ]
270
0
3
[ "A000129", "A001045", "A001333", "A002532", "A002533", "A002605", "A007482", "A007658", "A015518", "A015519", "A026150", "A033113", "A039300", "A046717", "A054878", "A059260", "A063727", "A078008", "A080926", "A083098", "A083099", "A083100", "A084057", "A084567", "A097073", "A111010", "A115341" ]
null
Olivier Gérard
2025-07-16T01:25:42
oeisdata/seq/A015/A015518.seq
38cd5a52b78c7b27b21ef1b0339709b2
A015519
a(n) = 2*a(n-1) + 7*a(n-2), with a(0) = 0, a(1) = 1.
[ "0", "1", "2", "11", "36", "149", "550", "2143", "8136", "31273", "119498", "457907", "1752300", "6709949", "25685998", "98341639", "376485264", "1441362001", "5518120850", "21125775707", "80878397364", "309637224677", "1185423230902", "4538307034543", "17374576685400" ]
[ "nonn", "easy" ]
52
0
3
[ "A000129", "A001333", "A002532", "A002533", "A002605", "A015518", "A015519", "A026150", "A046717", "A063727", "A083098", "A083099", "A083100", "A084057" ]
null
Olivier Gérard
2024-01-04T09:12:21
oeisdata/seq/A015/A015519.seq
e368e5175036016fbf4000f7d30e41e3
A015520
a(n) = 2*a(n-1) + 11*a(n-2), a(0) = 0, a(1) = 1.
[ "0", "1", "2", "15", "52", "269", "1110", "5179", "22568", "102105", "452458", "2028071", "9033180", "40375141", "180115262", "804357075", "3589982032", "16027891889", "71545586130", "319397983039", "1425797413508", "6364972640445", "28413716829478" ]
[ "nonn", "easy" ]
42
0
3
[ "A015520", "A090042" ]
null
Olivier Gérard
2022-09-08T08:44:40
oeisdata/seq/A015/A015520.seq
f8f89ffed33ba932aa86e5b2dab33d39
A015521
a(n) = 3*a(n-1) + 4*a(n-2), a(0) = 0, a(1) = 1.
[ "0", "1", "3", "13", "51", "205", "819", "3277", "13107", "52429", "209715", "838861", "3355443", "13421773", "53687091", "214748365", "858993459", "3435973837", "13743895347", "54975581389", "219902325555", "879609302221", "3518437208883", "14073748835533" ]
[ "nonn", "easy" ]
156
0
3
[ "A001045", "A015518", "A015521", "A054878", "A078008", "A097073", "A109200", "A115341", "A201455", "A213127", "A247281" ]
null
Olivier Gérard
2023-06-28T17:42:09
oeisdata/seq/A015/A015521.seq
87b3fe13a50af621714124b90f58f03d
A015522
Inverse of 1513th cyclotomic polynomial.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
15
0
1
null
null
Simon Plouffe
2018-01-08T02:48:52
oeisdata/seq/A015/A015522.seq
e1522acabe0cb352b5698ea07cdb7f3d
A015523
a(n) = 3*a(n-1) + 5*a(n-2), with a(0)=0, a(1)=1.
[ "0", "1", "3", "14", "57", "241", "1008", "4229", "17727", "74326", "311613", "1306469", "5477472", "22964761", "96281643", "403668734", "1692414417", "7095586921", "29748832848", "124724433149", "522917463687", "2192374556806", "9191710988853", "38537005750589" ]
[ "nonn", "easy" ]
55
0
3
[ "A015523", "A072263", "A072264", "A152187", "A179606", "A197189" ]
null
Olivier Gérard
2022-08-01T08:04:56
oeisdata/seq/A015/A015523.seq
c530feb286d75f83b93dce3f38ca654e
A015524
a(n) = 3*a(n-1) + 7*a(n-2), with a(0) = 0, a(1) = 1.
[ "0", "1", "3", "16", "69", "319", "1440", "6553", "29739", "135088", "613437", "2785927", "12651840", "57457009", "260933907", "1185000784", "5381539701", "24439624591", "110989651680", "504046327177", "2289066543291", "10395523920112", "47210037563373", "214398780130903", "973666603336320", "4421791270925281", "20081040036130083" ]
[ "nonn", "easy" ]
39
0
3
null
null
Olivier Gérard
2025-01-12T12:58:44
oeisdata/seq/A015/A015524.seq
44a574c4685c72835c3225abb1b7c6fd
A015525
Expansion of x/(1-3*x-8*x^2).
[ "0", "1", "3", "17", "75", "361", "1683", "7937", "37275", "175321", "824163", "3875057", "18218475", "85655881", "402715443", "1893393377", "8901903675", "41852858041", "196773803523", "925144274897", "4349623252875", "20450023957801", "96147057896403" ]
[ "nonn", "easy" ]
31
0
3
null
null
Olivier Gérard
2022-09-08T08:44:40
oeisdata/seq/A015/A015525.seq
39dd421292368629e96599c4aa5067c6
A015526
Inverse of 1517th cyclotomic polynomial.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "0", "0", "0", "0", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1" ]
[ "sign" ]
15
0
1
null
null
Simon Plouffe
2018-01-08T02:49:07
oeisdata/seq/A015/A015526.seq
f2d2e09a5b726a4b3dde45e804c9545a
A015527
Inverse of 1518th cyclotomic polynomial.
[ "1", "1", "0", "-1", "-1", "0", "1", "1", "0", "-1", "-1", "-1", "0", "1", "1", "0", "-1", "-1", "0", "1", "1", "0", "0", "-1", "-1", "0", "1", "1", "0", "-1", "-1", "0", "1", "1", "1", "0", "-1", "-1", "0", "1", "1", "0", "-1", "-1", "0", "0", "1", "1", "0", "-1", "-1", "0", "1", "1", "0", "-1", "-1", "-1", "0", "1", "1", "0", "-1", "-1", "0", "1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
15
0
1
null
null
Simon Plouffe
2018-01-08T02:49:20
oeisdata/seq/A015/A015527.seq
caffd3ce79e35552803fd313b62babe9
A015528
a(n) = 3*a(n-1) + 10*a(n-2).
[ "0", "1", "3", "19", "87", "451", "2223", "11179", "55767", "279091", "1394943", "6975739", "34876647", "174387331", "871928463", "4359658699", "21798260727", "108991369171", "544956714783", "2724783836059", "13623918656007", "68119594328611", "340597969545903", "1702989851923819", "8514949251230487", "42574746272929651" ]
[ "nonn", "easy" ]
37
0
3
null
null
Olivier Gérard
2025-04-02T20:39:40
oeisdata/seq/A015/A015528.seq
eec50a3af399be3fc8bdb3a5dc944401
A015529
Expansion of x/(1 - 3*x - 11*x^2).
[ "0", "1", "3", "20", "93", "499", "2520", "13049", "66867", "344140", "1767957", "9089411", "46715760", "240130801", "1234265763", "6344236100", "32609631693", "167615492179", "861552425160", "4428427689449", "22762359745107", "116999783819260", "601385308653957", "3091153547973731" ]
[ "nonn", "easy" ]
34
0
3
null
null
Olivier Gérard
2024-08-19T23:12:57
oeisdata/seq/A015/A015529.seq
d8314bd8f4cc9351131b3dcd1eee2d35
A015530
Expansion of x/(1 - 4*x - 3*x^2).
[ "0", "1", "4", "19", "88", "409", "1900", "8827", "41008", "190513", "885076", "4111843", "19102600", "88745929", "412291516", "1915403851", "8898489952", "41340171361", "192056155300", "892245135283", "4145149007032", "19257331433977", "89464772757004" ]
[ "nonn", "easy" ]
58
0
3
[ "A015530", "A080042", "A126473", "A179596", "A179597" ]
null
Olivier Gérard
2022-09-08T08:44:40
oeisdata/seq/A015/A015530.seq
0616d5390e1b9ed513bb5fd332d56755
A015531
Linear 2nd order recurrence: a(n) = 4*a(n-1) + 5*a(n-2).
[ "0", "1", "4", "21", "104", "521", "2604", "13021", "65104", "325521", "1627604", "8138021", "40690104", "203450521", "1017252604", "5086263021", "25431315104", "127156575521", "635782877604", "3178914388021", "15894571940104", "79472859700521", "397364298502604", "1986821492513021", "9934107462565104" ]
[ "nonn", "easy" ]
87
0
3
[ "A015531", "A033115", "A083425", "A213128" ]
null
Olivier Gérard
2024-12-30T21:52:43
oeisdata/seq/A015/A015531.seq
a29cf7c009d76e9c0ba8ee06e5169818
A015532
a(n) = 4*a(n-1) + 7*a(n-2).
[ "0", "1", "4", "23", "120", "641", "3404", "18103", "96240", "511681", "2720404", "14463383", "76896360", "408829121", "2173591004", "11556167863", "61439808480", "326652408961", "1736688295204", "9233320043543", "49090098240600", "260993633267201", "1387605220753004", "7377376315882423" ]
[ "nonn", "easy" ]
29
0
3
null
null
Olivier Gérard
2022-09-08T08:44:40
oeisdata/seq/A015/A015532.seq
bb295548a2f90a03a5e2247bc779dee1
A015533
a(n) = 4*a(n-1) + 9*a(n-2).
[ "0", "1", "4", "25", "136", "769", "4300", "24121", "135184", "757825", "4247956", "23812249", "133480600", "748232641", "4194255964", "23511117625", "131792774176", "738771155329", "4141219588900", "23213818753561", "130126251314344", "729429374039425", "4088853757986796", "22920279398302009" ]
[ "nonn", "easy" ]
30
0
3
null
null
Olivier Gérard
2022-09-08T08:44:40
oeisdata/seq/A015/A015533.seq
1e5b2060f78b81b3ba7ff53e3c3ed56e
A015534
Expansion of x/(1 - 4*x - 11*x^2).
[ "0", "1", "4", "27", "152", "905", "5292", "31123", "182704", "1073169", "6302420", "37014539", "217384776", "1276699033", "7498028668", "44035804035", "258621531488", "1518879970337", "8920356727716", "52389106584571", "307680350343160" ]
[ "nonn", "easy" ]
31
0
3
null
null
Olivier Gérard
2023-12-30T23:40:50
oeisdata/seq/A015/A015534.seq
0d493b8ba4311203cf2bd1639a8a9c1d
A015535
Expansion of x/(1 - 5*x - 2*x^2).
[ "0", "1", "5", "27", "145", "779", "4185", "22483", "120785", "648891", "3486025", "18727907", "100611585", "540513739", "2903791865", "15599986803", "83807517745", "450237562331", "2418802847145", "12994489360387", "69810052496225", "375039241201899", "2014816311001945", "10824160037413523" ]
[ "nonn", "easy" ]
53
0
3
[ "A015535", "A201002" ]
null
Olivier Gérard
2023-12-18T12:18:23
oeisdata/seq/A015/A015535.seq
652bbf42a12827ae3860a7c49c022964
A015536
Expansion of x/(1-5*x-3*x^2).
[ "0", "1", "5", "28", "155", "859", "4760", "26377", "146165", "809956", "4488275", "24871243", "137821040", "763718929", "4232057765", "23451445612", "129953401355", "720121343611", "3990466922120", "22112698641433", "122534893973525", "679012565791924", "3762667510880195", "20850375251776747" ]
[ "nonn", "easy" ]
35
0
3
null
null
Olivier Gérard
2022-09-08T08:44:40
oeisdata/seq/A015/A015536.seq
2143076c569caa45a9636de0ae30a08c
A015537
Expansion of x/(1 - 5*x - 4*x^2).
[ "0", "1", "5", "29", "165", "941", "5365", "30589", "174405", "994381", "5669525", "32325149", "184303845", "1050819821", "5991314485", "34159851709", "194764516485", "1110461989261", "6331368012245", "36098688018269", "205818912140325", "1173489312774701", "6690722212434805" ]
[ "nonn", "easy" ]
50
0
3
[ "A001076", "A006190", "A007482", "A015443", "A015447", "A015520", "A015521", "A015523", "A015524", "A015525", "A015528", "A015529", "A015530", "A015531", "A015532", "A015533", "A015534", "A015535", "A015536", "A015537", "A030195", "A053404", "A057087", "A083858", "A085939", "A090017", "A091914", "A099012", "A122690", "A123270", "A180222", "A180226" ]
null
Olivier Gérard
2023-12-18T12:16:49
oeisdata/seq/A015/A015537.seq
a63d7fe650e72abf8369abda8df1e9a1
A015538
Inverse of 1529th cyclotomic polynomial.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
13
0
1
null
null
Simon Plouffe
2025-06-13T16:48:54
oeisdata/seq/A015/A015538.seq
0db74e585d33d207e234307a36988f3a
A015539
Inverse of 1530th cyclotomic polynomial.
[ "1", "0", "0", "1", "0", "0", "0", "0", "0", "-1", "0", "0", "-1", "0", "0", "-1", "0", "0", "0", "0", "0", "1", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "-1", "0", "0", "0", "0", "0", "1", "0", "0", "1", "0", "0", "1", "0", "0", "0", "0", "0", "-1", "0", "0", "-1", "0", "0", "0", "0", "0" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-07T15:03:06
oeisdata/seq/A015/A015539.seq
4efcdf7a20a4d0b81053707ef9f48fda
A015540
a(n) = 5*a(n-1) + 6*a(n-2), a(0) = 0, a(1) = 1.
[ "0", "1", "5", "31", "185", "1111", "6665", "39991", "239945", "1439671", "8638025", "51828151", "310968905", "1865813431", "11194880585", "67169283511", "403015701065", "2418094206391", "14508565238345", "87051391430071", "522308348580425", "3133850091482551", "18803100548895305", "112818603293371831" ]
[ "nonn", "easy" ]
82
0
3
[ "A014987", "A015540", "A033116" ]
null
Olivier Gérard
2024-12-30T21:53:13
oeisdata/seq/A015/A015540.seq
3e851a941ad061385f62deae72d5be42
A015541
Expansion of x/(1 - 5*x - 7*x^2).
[ "0", "1", "5", "32", "195", "1199", "7360", "45193", "277485", "1703776", "10461275", "64232807", "394392960", "2421594449", "14868722965", "91294775968", "560554940595", "3441838134751", "21133075257920", "129758243232857", "796722742969725", "4891921417478624", "30036666288181195" ]
[ "nonn", "easy" ]
41
0
3
[ "A001076", "A006190", "A007482", "A015443", "A015447", "A015520", "A015521", "A015523", "A015524", "A015525", "A015528", "A015529", "A015530", "A015531", "A015532", "A015533", "A015534", "A015535", "A015536", "A015537", "A015541", "A030195", "A053404", "A057087", "A057088", "A083858", "A085939", "A090017", "A091914", "A099012", "A180222", "A180226" ]
null
Olivier Gérard
2024-08-04T19:08:51
oeisdata/seq/A015/A015541.seq
c4f171a97d5d64b9fd760897805e1f81
A015542
Inverse of 1533rd cyclotomic polynomial.
[ "1", "-1", "0", "1", "-1", "0", "1", "0", "-1", "1", "0", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "-1", "0", "1", "-1", "0", "1", "0" ]
[ "sign" ]
16
0
1
null
null
Simon Plouffe
2017-06-11T10:36:36
oeisdata/seq/A015/A015542.seq
5e211efcfd6114cd7dc0a52884ace867
A015543
Inverse of 1534th cyclotomic polynomial.
[ "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-07T15:04:23
oeisdata/seq/A015/A015543.seq
ba4809b11c95000fdfb4be64c506b679
A015544
Lucas sequence U(5,-8): a(n+1) = 5*a(n) + 8*a(n-1), a(0)=0, a(1)=1.
[ "0", "1", "5", "33", "205", "1289", "8085", "50737", "318365", "1997721", "12535525", "78659393", "493581165", "3097180969", "19434554165", "121950218577", "765227526205", "4801739379641", "30130517107845", "189066500576353", "1186376639744525", "7444415203333449", "46713089134623445" ]
[ "nonn", "easy" ]
40
0
3
[ "A001076", "A006190", "A007482", "A015441", "A015443", "A015447", "A015520", "A015521", "A015523", "A015524", "A015525", "A015528", "A015529", "A015530", "A015531", "A015532", "A015533", "A015534", "A015535", "A015536", "A015537", "A015544", "A015555", "A030195", "A053404", "A057087", "A057088", "A083858", "A085939", "A090017", "A091914", "A099012", "A180222", "A180226" ]
null
Olivier Gérard
2025-03-28T16:03:36
oeisdata/seq/A015/A015544.seq
7f3cdce958155ad57abb7fc6d146dc8f
A015545
Expansion of x/(1 - 5*x - 9*x^2).
[ "0", "1", "5", "34", "215", "1381", "8840", "56629", "362705", "2323186", "14880275", "95310049", "610472720", "3910154041", "25045024685", "160416509794", "1027487771135", "6581187443821", "42153327159320", "269997322790989", "1729366558388825", "11076808697063026", "70948342510814555" ]
[ "nonn", "easy" ]
31
0
3
null
null
Olivier Gérard
2023-12-30T23:41:01
oeisdata/seq/A015/A015545.seq
7653a3a549cb5274f4bbdf167b613121
A015546
Inverse of 1537th cyclotomic polynomial.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1" ]
[ "sign" ]
16
0
1
null
null
Simon Plouffe
2018-01-07T04:16:28
oeisdata/seq/A015/A015546.seq
130dc4795adbb7c84fa844b614cde23a
A015547
Expansion of x/(1 - 5*x - 11*x^2).
[ "0", "1", "5", "36", "235", "1571", "10440", "69481", "462245", "3075516", "20462275", "136142051", "905795280", "6026538961", "40096442885", "266774142996", "1774931586715", "11809173506531", "78570114986520", "522751483504441", "3478028682373925", "23140409730418476" ]
[ "nonn", "easy" ]
35
0
3
null
null
Olivier Gérard
2023-12-23T14:27:17
oeisdata/seq/A015/A015547.seq
2845139304b92b85bc868e79d04b4b76
A015548
Expansion of x/(1 - 5*x - 12*x^2).
[ "0", "1", "5", "37", "245", "1669", "11285", "76453", "517685", "3505861", "23741525", "160777957", "1088788085", "7373275909", "49931836565", "338138493733", "2289874507445", "15507034462021", "105013666399445", "711152745541477", "4815927724500725", "32613471569001349" ]
[ "nonn", "easy" ]
44
0
3
[ "A015548", "A015564" ]
null
Olivier Gérard
2025-03-28T15:24:25
oeisdata/seq/A015/A015548.seq
85f860d100062e3160cda32b760d34e1
A015549
Inverse of 1540th cyclotomic polynomial.
[ "1", "0", "1", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "-1", "0", "-1", "0", "-1", "0", "0", "0", "1", "0", "0", "0", "0", "0", "1", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "1", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "-1", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
13
0
1
null
null
Simon Plouffe
2017-04-07T15:05:43
oeisdata/seq/A015/A015549.seq
e11659f7a179f995840b5ac1ba73a3cb
A015550
Inverse of 1541st cyclotomic polynomial.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1" ]
[ "sign" ]
19
0
1
null
null
Simon Plouffe
2018-01-07T04:16:33
oeisdata/seq/A015/A015550.seq
4208abc41489a2922f69239ff1d2fc1f
A015551
Expansion of x/(1 - 6*x - 5*x^2).
[ "0", "1", "6", "41", "276", "1861", "12546", "84581", "570216", "3844201", "25916286", "174718721", "1177893756", "7940956141", "53535205626", "360916014461", "2433172114896", "16403612761681", "110587537144566", "745543286675801", "5026197405777636" ]
[ "nonn", "easy" ]
39
0
3
[ "A001076", "A006190", "A007482", "A015440", "A015441", "A015443", "A015444", "A015445", "A015447", "A015520", "A015521", "A015523", "A015524", "A015525", "A015528", "A015529", "A015530", "A015531", "A015532", "A015533", "A015534", "A015535", "A015536", "A015537", "A015548", "A015551", "A030195", "A053404", "A057087", "A057088", "A057089", "A083858", "A085939", "A090017", "A091914", "A099012", "A135030", "A135032", "A180222", "A180226", "A180250" ]
null
Olivier Gérard
2022-09-08T08:44:40
oeisdata/seq/A015/A015551.seq
d94c31c3462c5c358a2aa4710649c160
A015552
a(n) = 6*a(n-1) + 7*a(n-2), a(0) = 0, a(1) = 1.
[ "0", "1", "6", "43", "300", "2101", "14706", "102943", "720600", "5044201", "35309406", "247165843", "1730160900", "12111126301", "84777884106", "593445188743", "4154116321200", "29078814248401", "203551699738806", "1424861898171643", "9974033287201500", "69818233010410501", "488727631072873506" ]
[ "nonn", "easy" ]
48
0
3
[ "A001045", "A015518", "A015521", "A015531", "A015552", "A054878", "A078008", "A097073", "A109499", "A109500", "A109501", "A115341" ]
null
Olivier Gérard
2025-06-27T23:19:32
oeisdata/seq/A015/A015552.seq
42ce16719c19ad541a0a1c1acc86b92b
A015553
Expansion of x/(1 - 6*x - 11*x^2).
[ "0", "1", "6", "47", "348", "2605", "19458", "145403", "1086456", "8118169", "60660030", "453260039", "3386820564", "25306783813", "189095729082", "1412948996435", "10557746998512", "78888920951857", "589468742694774", "4404590586639071", "32911699689476940" ]
[ "nonn", "easy" ]
38
0
3
[ "A015551", "A015553" ]
null
Olivier Gérard
2022-09-08T08:44:40
oeisdata/seq/A015/A015553.seq
14e550328da5ebd8a4f296c8d94f2161
A015554
a(n) = floor( (n/e)^n ).
[ "0", "0", "1", "4", "21", "115", "750", "5628", "47811", "453999", "4765190", "54782414", "684597510", "9239952802", "133952757201", "2075907567336", "34247231626809", "599244998013963", "11084682598687312", "216127622080213321" ]
[ "nonn" ]
15
1
4
null
null
Simon Plouffe
2022-09-08T08:44:40
oeisdata/seq/A015/A015554.seq
b0dd8ac916777d2b436c35e36a9179d1
A015555
Expansion of x/(1 - 7*x - 2*x^2).
[ "0", "1", "7", "51", "371", "2699", "19635", "142843", "1039171", "7559883", "54997523", "400102427", "2910712035", "21175189099", "154047747763", "1120684612539", "8152887783299", "59311583708171", "431486861523795", "3139031198082907", "22836192109627939" ]
[ "nonn", "easy" ]
44
0
3
null
null
Olivier Gérard
2025-03-14T17:04:01
oeisdata/seq/A015/A015555.seq
4f4422e81d49aba0f88465b935bc9ad6
A015556
Inverse of 1547th cyclotomic polynomial.
[ "1", "-1", "0", "0", "0", "0", "0", "1", "-1", "0", "0", "0", "0", "1", "0", "-1", "0", "1", "-1", "0", "1", "0", "-1", "0", "1", "-1", "1", "0", "0", "-1", "1", "0", "-1", "1", "1", "-1", "-1", "1", "0", "0", "0", "1", "-1", "0", "0", "0", "0", "1", "0", "-1", "0", "1", "0", "-1", "1", "0", "0", "-1", "1", "0", "0", "0", "0", "0", "0", "1", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "1", "0", "0", "0", "0", "0" ]
[ "sign" ]
16
0
1
null
null
Simon Plouffe
2018-01-07T04:16:37
oeisdata/seq/A015/A015556.seq
d049746bb91ab8edfbdfa51123c777cf
A015557
a(n) = ceiling((n/e)^n).
[ "1", "1", "1", "2", "5", "22", "116", "751", "5629", "47812", "454000", "4765191", "54782415", "684597511", "9239952803", "133952757202", "2075907567337", "34247231626810", "599244998013964", "11084682598687313", "216127622080213322" ]
[ "nonn" ]
29
0
4
null
null
N. J. A. Sloane
2022-09-08T08:44:40
oeisdata/seq/A015/A015557.seq
915b9f051acdea9867ba5800ddd78f9c
A015558
Nearest integer to (n/e)^n.
[ "0", "1", "1", "5", "21", "116", "751", "5628", "47811", "453999", "4765190", "54782415", "684597510", "9239952802", "133952757201", "2075907567336", "34247231626810", "599244998013964", "11084682598687313", "216127622080213321" ]
[ "nonn" ]
14
1
4
null
null
Simon Plouffe
2022-09-08T08:44:40
oeisdata/seq/A015/A015558.seq
bd8aa9d057d64f4bc1bc9af4d9841c6b
A015559
Expansion of x/(1 - 7*x - 3*x^2).
[ "0", "1", "7", "52", "385", "2851", "21112", "156337", "1157695", "8572876", "63483217", "470101147", "3481157680", "25778407201", "190892323447", "1413581485732", "10467747370465", "77514976050451", "574008074464552", "4250601449403217", "31476234369216175" ]
[ "nonn", "easy" ]
36
0
3
null
null
Olivier Gérard
2023-12-30T23:41:28
oeisdata/seq/A015/A015559.seq
6c8133378e0b4ae1151d20846060bc60
A015560
Inverse of 1551st cyclotomic polynomial.
[ "1", "-1", "0", "1", "-1", "0", "1", "-1", "0", "1", "-1", "1", "0", "-1", "1", "0", "-1", "1", "0", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "-1", "0", "1", "-1", "0", "1", "-1", "0", "1", "-1", "1", "0", "-1", "1", "0", "-1", "1", "0", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
16
0
1
null
null
Simon Plouffe
2017-04-07T15:07:57
oeisdata/seq/A015/A015560.seq
ce595db0c176a8e49a0a52be7790bc0b
A015561
Expansion of x/(1 - 7*x - 4*x^2).
[ "0", "1", "7", "53", "399", "3005", "22631", "170437", "1283583", "9666829", "72802135", "548282261", "4129184367", "31097419613", "234198674759", "1763780401765", "13283257511391", "100037924186797", "753398499353143", "5673941192219189", "42731182342946895" ]
[ "nonn", "easy" ]
34
0
3
null
null
Olivier Gérard
2023-12-30T23:41:32
oeisdata/seq/A015/A015561.seq
48988593171bf7a8a478f04e8482872b
A015562
Expansion of x/(1 - 7*x - 5*x^2).
[ "0", "1", "7", "54", "413", "3161", "24192", "185149", "1417003", "10844766", "82998377", "635212469", "4861479168", "37206416521", "284752311487", "2179298263014", "16678849398533", "127648437104801", "976933306726272", "7476775332607909", "57222093861886723" ]
[ "nonn", "easy" ]
34
0
3
null
null
Olivier Gérard
2023-12-30T23:41:36
oeisdata/seq/A015/A015562.seq
cb81bbe553ceb45cb2f71649362ea0f1
A015563
Inverse of 1554th cyclotomic polynomial.
[ "1", "1", "0", "-1", "-1", "0", "1", "0", "-1", "-1", "0", "1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "-1", "0", "1", "1", "0", "-1", "0", "1", "1", "0", "-1", "-1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "1", "0", "-1", "-1", "0", "1" ]
[ "sign" ]
16
0
1
null
null
Simon Plouffe
2018-01-07T04:16:41
oeisdata/seq/A015/A015563.seq
b66b9fe792ac7ff43387b9f47e9759af
A015564
Expansion of x/(1 - 7*x - 6*x^2).
[ "0", "1", "7", "55", "427", "3319", "25795", "200479", "1558123", "12109735", "94116883", "731476591", "5685037435", "44184121591", "343399075747", "2668898259775", "20742682272907", "161212165468999", "1252941251920435", "9737861756257039", "75682679805321883" ]
[ "nonn", "easy" ]
47
0
3
null
null
Olivier Gérard
2024-12-04T11:15:10
oeisdata/seq/A015/A015564.seq
bdfa66730623f4ffdceafd69abca8cfb
A015565
a(n) = 7*a(n-1) + 8*a(n-2), a(0) = 0, a(1) = 1.
[ "0", "1", "7", "57", "455", "3641", "29127", "233017", "1864135", "14913081", "119304647", "954437177", "7635497415", "61083979321", "488671834567", "3909374676537", "31274997412295", "250199979298361", "2001599834386887", "16012798675095097", "128102389400760775", "1024819115206086201", "8198552921648689607" ]
[ "nonn", "easy" ]
61
0
3
[ "A001045", "A002275", "A014990", "A015518", "A015521", "A015531", "A015552", "A015565", "A053573", "A054878", "A062160", "A078008", "A080424", "A082311", "A082365", "A097073", "A099322", "A106566", "A109499", "A109500", "A109501", "A115341" ]
null
Olivier Gérard
2024-08-17T22:31:15
oeisdata/seq/A015/A015565.seq
161b4668dd2650c308d69d7cc162e999
A015566
Expansion of x/(1 - 7*x - 9*x^2).
[ "0", "1", "7", "58", "469", "3805", "30856", "250237", "2029363", "16457674", "133467985", "1082394961", "8777976592", "71187390793", "577313524879", "4681881191290", "37968990062941", "307919861162197", "2497159938701848", "20251398321372709", "164234227697925595" ]
[ "nonn", "easy" ]
35
0
3
null
null
Olivier Gérard
2023-12-30T23:41:39
oeisdata/seq/A015/A015566.seq
1158acc79ec5f00b0ecbd82078d44ee8
A015567
Inverse of 1558th cyclotomic polynomial.
[ "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
16
0
1
null
null
Simon Plouffe
2018-01-07T04:16:46
oeisdata/seq/A015/A015567.seq
dd84279236f015f0923db7824f07900c
A015568
Expansion of x/(1 - 7*x - 10*x^2).
[ "0", "1", "7", "59", "483", "3971", "32627", "268099", "2202963", "18101731", "148741747", "1222209539", "10042884243", "82522285091", "678084838067", "5571816717379", "45783565402323", "376203124990051", "3091257528953587", "25400833952575619", "208718412957565203", "1715037230228712611", "14092444741176640307" ]
[ "nonn", "easy" ]
45
0
3
null
null
Olivier Gérard
2024-02-06T16:12:54
oeisdata/seq/A015/A015568.seq
07caa1373516430090bd1eab44bee15c
A015569
Inverse of 1560th cyclotomic polynomial.
[ "1", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "-1", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "-1" ]
[ "sign" ]
16
0
1
null
null
Simon Plouffe
2018-01-07T04:17:00
oeisdata/seq/A015/A015569.seq
45009eaf4efc3ea7e2120fcb7c75fb08
A015570
Expansion of x/(1 - 7*x - 11*x^2).
[ "0", "1", "7", "60", "497", "4139", "34440", "286609", "2385103", "19848420", "165175073", "1374558131", "11438832720", "95191968481", "792170939287", "6592308228300", "54860037930257", "456535656023099", "3799210009394520", "31616362282015729", "263105846077449823", "2189520907644321780", "18220810660362200513" ]
[ "nonn", "easy" ]
35
0
3
null
null
Olivier Gérard
2023-12-23T14:27:24
oeisdata/seq/A015/A015570.seq
d3cfef5608f0b41da7f75c03fc7ea5bb
A015571
Inverse of 1562nd cyclotomic polynomial.
[ "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1" ]
[ "sign" ]
16
0
1
null
null
Simon Plouffe
2017-08-03T17:51:18
oeisdata/seq/A015/A015571.seq
81bf40b61d362688350d2cd0c87be680
A015572
Expansion of x/(1 - 7*x - 12*x^2).
[ "0", "1", "7", "61", "511", "4309", "36295", "305773", "2575951", "21700933", "182817943", "1540136797", "12974772895", "109305051829", "920832637543", "7757489084749", "65352415243759", "550556775723301", "4638126412988215", "39073566199597117", "329172480353038399", "2773090156866434197", "23361700862301500167" ]
[ "nonn", "easy" ]
38
0
3
null
null
Olivier Gérard
2023-12-23T14:27:31
oeisdata/seq/A015/A015572.seq
cd294998580ac3fd66142f93fa75ba8d
A015573
Inverse of 1564th cyclotomic polynomial.
[ "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "0" ]
[ "sign" ]
16
0
1
null
null
Simon Plouffe
2018-01-07T04:15:47
oeisdata/seq/A015/A015573.seq
df6d3844078f27511c80f73a3868f27a
A015574
Expansion of x/(1 - 8*x - 3*x^2).
[ "0", "1", "8", "67", "560", "4681", "39128", "327067", "2733920", "22852561", "191022248", "1596735667", "13346952080", "111565823641", "932567445368", "7795237033867", "65159598607040", "544662499957921", "4552778795484488", "38056217863749667", "318108079296450800", "2659033287962855401", "22226590541592195608" ]
[ "nonn", "easy" ]
36
0
3
null
null
Olivier Gérard
2023-12-18T12:19:09
oeisdata/seq/A015/A015574.seq
f662460ae32acceff3252f0b404fccfe
A015575
Expansion of x/(1 - 8*x - 5*x^2).
[ "0", "1", "8", "69", "592", "5081", "43608", "374269", "3212192", "27568881", "236612008", "2030740469", "17428983792", "149585572681", "1283829500408", "11018563866669", "94567658435392", "811634086816481", "6965910986708808", "59785458327752869", "513113221555566992", "4403833064083300281", "37796230620444237208" ]
[ "nonn", "easy" ]
36
0
3
null
null
Olivier Gérard
2023-12-18T10:03:42
oeisdata/seq/A015/A015575.seq
8475791fb00645ed72d60de71d8555e5
A015576
Expansion of x/(1 - 8*x - 7*x^2).
[ "0", "1", "8", "71", "624", "5489", "48280", "424663", "3735264", "32854753", "288984872", "2541862247", "22357792080", "196655372369", "1729747523512", "15214567794679", "133824775022016", "1177100174738881", "10353574823065160", "91068299807693447", "801021422223003696", "7045649476437883697", "61972345767064095448" ]
[ "nonn", "easy" ]
36
0
3
null
null
Olivier Gérard
2023-12-18T10:04:15
oeisdata/seq/A015/A015576.seq
34556b6338a5fa2934cf7dc95c743c95
A015577
a(n+1) = 8*a(n) + 9*a(n-1), a(0) = 0, a(1) = 1.
[ "0", "1", "8", "73", "656", "5905", "53144", "478297", "4304672", "38742049", "348678440", "3138105961", "28242953648", "254186582833", "2287679245496", "20589113209465", "185302018885184", "1667718169966657", "15009463529699912", "135085171767299209", "1215766545905692880", "10941898913151235921" ]
[ "nonn", "easy" ]
64
0
3
[ "A001045", "A015518", "A015521", "A015531", "A015552", "A015565", "A015577", "A054878", "A078008", "A093134", "A097073", "A109499", "A109500", "A109501", "A115341" ]
null
Olivier Gérard
2022-09-08T08:44:40
oeisdata/seq/A015/A015577.seq
cc1b6d3f349584cbcaa97b34f7f233fb
A015578
Expansion of x/(1 - 8*x - 11*x^2).
[ "0", "1", "8", "75", "688", "6329", "58200", "535219", "4921952", "45263025", "416245672", "3827858651", "35201571600", "323719017961", "2976969431288", "27376664647875", "251759980927168", "2315223158543969", "21291145058550600", "195796615212388459", "1800575517343164272", "16558366906081587225", "152273265939427504792" ]
[ "nonn", "easy" ]
40
0
3
null
null
Olivier Gérard
2023-12-23T14:27:36
oeisdata/seq/A015/A015578.seq
3b272c6870fc2db1930ab25afa4159fa
A015579
Expansion of g.f. x/(1 - 9*x - 2*x^2).
[ "0", "1", "9", "83", "765", "7051", "64989", "599003", "5521005", "50887051", "469025469", "4323003323", "39845080845", "367251734251", "3384955769949", "31199105398043", "287561860122285", "2650454951896651", "24429218287314429", "225163874489623163", "2075333306981237325", "19128327511810382251" ]
[ "nonn", "easy" ]
43
0
3
[ "A015579", "A099371" ]
null
Olivier Gérard
2023-12-30T23:41:43
oeisdata/seq/A015/A015579.seq
deb28943abdcfe76bc10d60b10587730
A015580
Expansion of x/(1 - 9*x - 4*x^2).
[ "0", "1", "9", "85", "801", "7549", "71145", "670501", "6319089", "59553805", "561260601", "5289560629", "49851088065", "469818035101", "4427766668169", "41729172153925", "393273616058001", "3706379233137709", "34930507562471385", "329200084994793301", "3102522795203025249", "29239505496806400445" ]
[ "nonn", "easy" ]
48
0
3
[ "A015579", "A015580", "A099371" ]
null
Olivier Gérard
2023-12-18T12:19:24
oeisdata/seq/A015/A015580.seq
61a98a91fb8bf5f22860c895c01e364a
A015581
a(n) = 9*a(n-1) + 5*a(n-2).
[ "0", "1", "9", "86", "819", "7801", "74304", "707741", "6741189", "64209406", "611590599", "5825362421", "55486214784", "528502745161", "5033955780369", "47948115749126", "456702820643979", "4350065964541441", "41434107784092864", "394657299879542981", "3759086237836351149", "35805062639924875246" ]
[ "nonn", "easy" ]
40
0
3
[ "A015579", "A015581", "A099371" ]
null
Olivier Gérard
2023-12-30T23:41:46
oeisdata/seq/A015/A015581.seq
0d5e76d1f861779502bcfaec09f5d700
A015582
Inverse of 1573rd cyclotomic polynomial.
[ "1", "0", "0", "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", "0", "1", "0", "0", "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", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1" ]
[ "sign" ]
39
0
1
[ "A014856", "A015582", "A100910" ]
null
Simon Plouffe
2019-10-06T03:05:15
oeisdata/seq/A015/A015582.seq
5958cacf0c7e5088be110d1218e21a38
A015583
a(0) = 0, a(1) = 1; for n >= 2, a(n) = 9*a(n-1) + 7*a(n-2).
[ "0", "1", "9", "88", "855", "8311", "80784", "785233", "7632585", "74189896", "721137159", "7009563703", "68134033440", "662273246881", "6437397456009", "62572489832248", "608214190682295", "5911935144966391", "57464915639473584", "558567786770026993", "5429364490406558025", "52774254921049211176" ]
[ "nonn", "easy" ]
43
0
3
[ "A015579", "A015583", "A099371" ]
null
Olivier Gérard
2023-12-16T17:12:47
oeisdata/seq/A015/A015583.seq
c768db7dd9b02072041dc0e04cfea90e
A015584
Expansion of g.f. x/(1 - 9*x - 8*x^2).
[ "0", "1", "9", "89", "873", "8569", "84105", "825497", "8102313", "79524793", "780541641", "7661073113", "75193991145", "738034505209", "7243862476041", "71099038326041", "697842244742697", "6849372509292601", "67227090541574985", "659838794948515673", "6476365878869240937", "63566003269411293817" ]
[ "nonn", "easy" ]
58
0
3
[ "A015579", "A015584", "A099371" ]
null
Olivier Gérard
2025-04-22T08:06:43
oeisdata/seq/A015/A015584.seq
ec8f8f7c06d011eee607cca5fa8e86b9
A015585
a(n) = 9*a(n-1) + 10*a(n-2).
[ "0", "1", "9", "91", "909", "9091", "90909", "909091", "9090909", "90909091", "909090909", "9090909091", "90909090909", "909090909091", "9090909090909", "90909090909091", "909090909090909", "9090909090909091", "90909090909090909", "909090909090909091", "9090909090909090909", "90909090909090909091" ]
[ "nonn", "easy" ]
48
0
3
[ "A001045", "A014992", "A015518", "A015521", "A015531", "A015552", "A015565", "A015577", "A015585", "A054878", "A078008", "A093134", "A094028", "A097073", "A097150", "A098610", "A098611", "A109499", "A109500", "A109501", "A115341" ]
null
Olivier Gérard
2024-08-17T20:38:09
oeisdata/seq/A015/A015585.seq
58cc83f44afe068810fe821d7c0fac43
A015586
Inverse of 1577th cyclotomic polynomial.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
16
0
1
null
null
Simon Plouffe
2018-01-07T04:18:13
oeisdata/seq/A015/A015586.seq
ddc25c1ed79a84a2bbe61b9861a8e209
A015587
Expansion of x/(1 - 9*x - 11*x^2).
[ "0", "1", "9", "92", "927", "9355", "94392", "952433", "9610209", "96968644", "978430095", "9872525939", "99615464496", "1005136965793", "10142002801593", "102334531838060", "1032572817360063", "10418835206459227", "105127817849093736", "1060757547912895121", "10703223927556087185", "107997348375046630996" ]
[ "nonn", "easy" ]
36
0
3
null
null
Olivier Gérard
2023-12-18T10:05:05
oeisdata/seq/A015/A015587.seq
39817d3e518670eb1d32ea1f8c595bf7
A015588
Expansion of x/(1 - 10*x - 3*x^2).
[ "0", "1", "10", "103", "1060", "10909", "112270", "1155427", "11891080", "122377081", "1259444050", "12961571743", "133394049580", "1372825211029", "14128434259030", "145402818223387", "1496413485010960", "15400343304779761", "158492673502830490", "1631127764942644183", "16786755669934933300" ]
[ "nonn", "easy" ]
34
0
3
[ "A000045", "A015518", "A015588" ]
null
Olivier Gérard
2024-03-18T11:23:46
oeisdata/seq/A015/A015588.seq
f4dabec3e970f5bfaae18ece888448eb
A015589
Expansion of x/(1 - 10*x - 7*x^2).
[ "0", "1", "10", "107", "1140", "12149", "129470", "1379743", "14703720", "156695401", "1669880050", "17795668307", "189645843420", "2021028112349", "21537802027430", "229525217060743", "2446016784799440", "26066844367419601", "277790561167792090", "2960373522249858107", "31548269150673125700" ]
[ "nonn", "easy" ]
35
0
3
[ "A015579", "A015589", "A099371" ]
null
Olivier Gérard
2023-12-30T23:41:54
oeisdata/seq/A015/A015589.seq
10dc6fcb9cf29f550a698121fa6de72e
A015590
Inverse of 1581st cyclotomic polynomial.
[ "1", "-1", "0", "1", "-1", "0", "1", "-1", "0", "1", "-1", "0", "1", "-1", "0", "1", "-1", "1", "0", "-1", "1", "0", "-1", "1", "0", "-1", "1", "0", "-1", "1", "0", "0", "0", "0", "1", "-1", "0", "1", "-1", "0", "1", "-1", "0", "1", "-1", "0", "1", "-1", "1", "0", "-1", "1", "0", "-1", "1", "0", "-1", "1", "0", "-1", "1", "0", "0", "0", "0", "1", "-1", "0", "1", "-1", "0", "1", "-1", "0", "1", "-1", "0", "1", "-1", "1", "0" ]
[ "sign" ]
19
0
1
null
null
Simon Plouffe
2018-01-07T04:17:54
oeisdata/seq/A015/A015590.seq
e5d313a91dc14846ad194604a07c6534
A015591
Expansion of x/(1 - 10*x - 9*x^2).
[ "0", "1", "10", "109", "1180", "12781", "138430", "1499329", "16239160", "175885561", "1905008050", "20633050549", "223475577940", "2420453234341", "26215812544870", "283942204557769", "3075364358481520", "33309123425835121", "360769513484684890", "3907477245679364989", "42321698078155813900" ]
[ "nonn", "easy" ]
41
0
3
[ "A015591", "A254600" ]
null
Olivier Gérard
2023-12-18T10:06:21
oeisdata/seq/A015/A015591.seq
7fcec09520bd9ad043ce6feaee66678d
A015592
a(n) = 10*a(n-1) + 11*a(n-2).
[ "0", "1", "10", "111", "1220", "13421", "147630", "1623931", "17863240", "196495641", "2161452050", "23775972551", "261535698060", "2876892678661", "31645819465270", "348104014117971", "3829144155297680", "42120585708274481", "463326442791019290", "5096590870701212191", "56062499577713334100" ]
[ "nonn", "easy" ]
28
0
3
[ "A001045", "A015518", "A015521", "A015531", "A015552", "A015565", "A015577", "A015585", "A015592", "A054878", "A078008", "A093134", "A097073", "A109499", "A109500", "A109501", "A115341" ]
null
Olivier Gérard
2024-08-17T20:40:28
oeisdata/seq/A015/A015592.seq
23bd892a8e9b812530a5c08e55f3bc5c
A015593
a(n) = 11*a(n-1) + 2*a(n-2).
[ "0", "1", "11", "123", "1375", "15371", "171831", "1920883", "21473375", "240048891", "2683484551", "29998427843", "335349675375", "3748843284811", "41907975483671", "468485416890003", "5237155536757375", "58545681738111131", "654476810192737191", "7316336275596331363" ]
[ "nonn", "easy" ]
31
0
3
null
null
Olivier Gérard
2023-12-23T14:28:49
oeisdata/seq/A015/A015593.seq
fe98be8e8924b0aeb295df647efb5eaf
A015594
a(n) = 11*a(n-1) + 3*a(n-2).
[ "0", "1", "11", "124", "1397", "15739", "177320", "1997737", "22507067", "253570948", "2856801629", "32185530763", "362611243280", "4085280268369", "46025916681899", "518540924305996", "5842027917411653", "65817929864446171", "741523312261142840", "8354210224465909753" ]
[ "nonn", "easy" ]
38
0
3
null
null
Olivier Gérard
2023-12-16T17:10:25
oeisdata/seq/A015/A015594.seq
9afdd6010b5f74fb51e2fc90a664d052
A015595
Inverse of 1586th cyclotomic polynomial.
[ "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
13
0
1
null
null
Simon Plouffe
2025-02-07T19:30:29
oeisdata/seq/A015/A015595.seq
c0f198b36997f0a346775b617650bb18
A015596
a(n) = 11 a(n-1) + 4 a(n-2).
[ "0", "1", "11", "125", "1419", "16109", "182875", "2076061", "23568171", "267554125", "3037368059", "34481265149", "391443388875", "4443802338221", "50447599275931", "572698801388125", "6501477212373099", "73807044541656589", "837883398807714875", "9511945565051489981" ]
[ "nonn", "easy" ]
33
0
3
null
null
Olivier Gérard
2023-12-23T14:28:41
oeisdata/seq/A015/A015596.seq
d3911ac06ebd0e7bd96e4b68e08b0dca
A015597
a(n) = 11 a(n-1) + 5 a(n-2).
[ "0", "1", "11", "126", "1441", "16481", "188496", "2155861", "24656951", "282005766", "3225348181", "36888858821", "421904187936", "4825390361401", "55188814915091", "631203915873006", "7219187149178521", "82567078220328761", "944333796169508976", "10800507148966242541" ]
[ "nonn", "easy" ]
32
0
3
null
null
Olivier Gérard
2023-12-23T14:28:35
oeisdata/seq/A015/A015597.seq
9e2f798bc51db3e169b7d2d607233768
A015598
a(n) = 11*a(n-1) + 6*a(n-2).
[ "0", "1", "11", "127", "1463", "16855", "194183", "2237143", "25773671", "296933239", "3420907655", "39411583639", "454052865959", "5231051027383", "60265878496967", "694310969630935", "7999015936922087", "92155041123928567", "1061699547984746759", "12231625274575785751" ]
[ "nonn", "easy" ]
30
0
3
null
null
Olivier Gérard
2023-12-23T14:28:29
oeisdata/seq/A015/A015598.seq
9c9c098f98524bfaa8e682721fa0b9b3
A015599
Inverse of 1590th cyclotomic polynomial.
[ "1", "1", "0", "-1", "-1", "-1", "0", "1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "-1", "0", "1", "1", "1", "0", "-1", "-1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
13
0
1
null
null
Simon Plouffe
2017-06-27T10:17:22
oeisdata/seq/A015/A015599.seq
181c523ca5d8d5f16f28c71472d078a5
A015600
Inverse of 1591st cyclotomic polynomial.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "0", "0", "0", "0", "0", "0", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1" ]
[ "sign" ]
16
0
1
null
null
Simon Plouffe
2025-03-10T16:42:45
oeisdata/seq/A015/A015600.seq
1e97ed6891b1aeb7acce0e9ab3949143