Datasets:
christopher
/
oeis

Dataset card Data Studio Files
xet
Community
2
sequence_id
stringlengths
7
7
sequence_name
stringlengths
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
⌀
cross_references
listlengths
1
128
⌀
former_ids
listlengths
1
3
⌀
author
stringlengths
7
231
⌀
timestamp
timestamp[us]date
1999-12-11 03:00:00
2025-07-19 00:40:46
filename
stringlengths
29
29
hash
stringlengths
32
32
A015001
q-factorial numbers for q=3.
[ "1", "1", "4", "52", "2080", "251680", "91611520", "100131391360", "328430963660800", "3232089113385932800", "95424198983606279987200", "8452007576574959037306265600", "2245867453247498115393020895232000", "1790317944898228845164815929864036352000" ]
[ "nonn", "easy", "changed" ]
47
0
3
[ "A000079", "A003462", "A015001", "A015002", "A015004", "A015005", "A015006", "A015007", "A015008", "A015009", "A015011", "A047656", "A053290", "A069777", "A100220" ]
null
Olivier Gérard
2025-07-06T10:11:05
oeisdata/seq/A015/A015001.seq
f543bb820e26734acc873b0f2a5abf3a
A015002
q-factorial numbers for q=4.
[ "1", "1", "5", "105", "8925", "3043425", "4154275125", "22686496457625", "495586515116818125", "43304845277422684580625", "15136126045591163828042953125", "21161832960467051739150680807015625", "118345540457280742481284963098558216328125", "2647344887069536899904944217513732945696167890625" ]
[ "nonn", "easy", "changed" ]
34
0
3
[ "A002450", "A015001", "A015002", "A015004", "A015005", "A015006", "A015007", "A015008", "A015009", "A015011", "A069777", "A100221" ]
null
Olivier Gérard
2025-07-06T10:11:59
oeisdata/seq/A015/A015002.seq
667ddd58af167bd14c44fda3effd4e7a
A015003
Inverse of 994th cyclotomic polynomial.
[ "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", "1", "-1", "1", "-1", "1", "-1", "1", "0", "0", "0" ]
[ "sign" ]
13
0
1
null
null
Simon Plouffe
2020-05-16T16:22:11
oeisdata/seq/A015/A015003.seq
4c6932de1e21f2233dc790844901a973
A015004
q-factorial numbers for q=5.
[ "1", "1", "6", "186", "29016", "22661496", "88515803376", "1728802155736656", "168827903320618878336", "82435457461295106532780416", "201258420458750640859769304304896", "2456767777551003294245070550498298923776", "149949204558598784020761783280669552547300269056" ]
[ "nonn", "easy", "changed" ]
36
0
3
[ "A003463", "A015001", "A015002", "A015004", "A015005", "A015006", "A015007", "A015008", "A015009", "A015011", "A069777", "A100222" ]
null
Olivier Gérard
2025-07-06T10:11:53
oeisdata/seq/A015/A015004.seq
5fd7749c834d220caa561dc213312337
A015005
q-factorial numbers for q=6.
[ "1", "1", "7", "301", "77959", "121226245", "1131162092095", "63330372050122765", "21274128570193389587095", "42878835824239014254983869205", "518543838148941095553869851505328175", "37625235473766496167083515195884075739704925", "16380389585902052954270520869620904155598347770499975" ]
[ "nonn", "easy", "changed" ]
32
0
3
[ "A003464", "A015001", "A015002", "A015004", "A015005", "A015006", "A015007", "A015008", "A015009", "A015011", "A069777", "A132034" ]
null
Olivier Gérard
2025-07-06T10:11:45
oeisdata/seq/A015/A015005.seq
1af4375463d7f8c15336a8526614d502
A015006
q-factorial numbers for q=7.
[ "1", "1", "8", "456", "182400", "510902400", "10017774259200", "1375009641495014400", "1321109263548409835520000", "8885253784030448738183147520000", "418310711031156574478261944188764160000", "137856159231156714984163673320892478249861120000" ]
[ "nonn", "easy", "changed" ]
31
0
3
[ "A015001", "A015002", "A015004", "A015005", "A015006", "A015007", "A015008", "A015009", "A015011", "A023000", "A069777", "A132035" ]
null
Olivier Gérard
2025-07-06T10:11:37
oeisdata/seq/A015/A015006.seq
b04f62e96ec197b9a6d75ad53e654f19
A015007
q-factorial numbers for q=8.
[ "1", "1", "9", "657", "384345", "1799118945", "67375205371305", "20185139902805378865", "48378633136349277767794425", "927610024989668734297857360967425", "142287668466497494704440569679875994730825", "174605966461872393482359052970987514818406771638225" ]
[ "nonn", "easy", "changed" ]
28
0
3
[ "A015001", "A015002", "A015004", "A015005", "A015006", "A015007", "A015008", "A015009", "A015011", "A023001", "A069777", "A132036" ]
null
Olivier Gérard
2025-07-06T10:12:23
oeisdata/seq/A015/A015007.seq
b10489f648f84a390d035d5f855b59b7
A015008
q-factorial numbers for q=9.
[ "1", "1", "10", "910", "746200", "5507702200", "365876657146000", "218747042884536166000", "1177042838234827583459440000", "57001313848230245122464621625840000", "24843911488189148287648216529610193612000000", "97453533413342456299179976631323547842824103012000000" ]
[ "nonn", "easy", "changed" ]
30
0
3
[ "A002452", "A015001", "A015002", "A015004", "A015005", "A015006", "A015007", "A015008", "A015009", "A015011", "A069777", "A132037" ]
null
Olivier Gérard
2025-07-06T10:11:23
oeisdata/seq/A015/A015008.seq
3d341ed21df5c77207a9945998fa01b8
A015009
q-factorial numbers for q=10.
[ "1", "1", "11", "1221", "1356531", "15072415941", "1674711207620451", "1860790044610366931061", "20675444733360738721748118771", "2297271634742810443154153338805764581", "2552524038347870310755413660544832496799359491", "28361378203581611893021499527080870668821235178133404501" ]
[ "nonn", "easy", "changed" ]
31
0
3
[ "A002275", "A015001", "A015002", "A015004", "A015005", "A015006", "A015007", "A015008", "A015009", "A015011", "A069777", "A132038" ]
null
Olivier Gérard
2025-07-06T10:12:30
oeisdata/seq/A015/A015009.seq
98447e708ab12daa55a7fb034ecae9b6
A015010
Inverse of 1001st cyclotomic polynomial.
[ "1", "-1", "0", "0", "0", "0", "0", "1", "-1", "0", "0", "1", "-1", "1", "0", "-1", "0", "0", "1", "-1", "1", "0", "0", "-1", "1", "0", "0", "0", "0", "0", "-1", "1", "0", "1", "-1", "1", "-1", "0", "0", "1", "0", "-1", "1", "-1", "1", "-1", "2", "-1", "0", "0", "0", "0", "0", "1", "-1", "1", "-1", "1", "-1", "1", "0", "0", "0", "0", "0", "0", "1", "-1", "1", "-1", "1", "-1", "1", "0", "0", "0", "0", "0", "0", "1", "-1" ]
[ "sign" ]
17
0
47
null
null
Simon Plouffe
2021-07-29T11:34:05
oeisdata/seq/A015/A015010.seq
57ae7bd17399784bc92f48fd6d1e2cf3
A015011
q-factorial numbers for q=11.
[ "1", "1", "12", "1596", "2336544", "37630041120", "6666387564654720", "12990902775831251994240", "278471536921607824648305285120", "65662131721505488121539650946349537280", "170310659060181679663863033233125976844488908800", "4859161865915056755501262525796512204608930674134393036800" ]
[ "nonn", "easy", "changed" ]
36
0
3
[ "A015001", "A015002", "A015004", "A015005", "A015006", "A015007", "A015008", "A015009", "A015011", "A016123", "A069777", "A132267" ]
null
Olivier Gérard
2025-07-06T10:12:37
oeisdata/seq/A015/A015011.seq
0f21a12182b209f3e0410e245153c287
A015012
Inverse of 1003rd 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", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "0", "0", "0" ]
[ "sign" ]
16
0
1
null
null
Simon Plouffe
2023-04-22T12:39:51
oeisdata/seq/A015/A015012.seq
44d71686e212215aa919f46476497cab
A015013
q-factorial numbers for q=-2.
[ "1", "1", "-1", "-3", "15", "165", "-3465", "-148995", "12664575", "2165642325", "-738484032825", "-504384594419475", "688484971382583375", "1880252456845835197125", "-10268058666835106011499625", "-112158004817839862963610403875", "2450091615245711806440069272649375", "107046952761700394535173066591323843125" ]
[ "sign", "easy" ]
38
0
4
[ "A001045", "A015013" ]
null
Olivier Gérard
2025-05-30T10:10:35
oeisdata/seq/A015/A015013.seq
e25d2307e011e3daa9819b745f91c825
A015014
Inverse of 1005th 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", "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" ]
[ "sign" ]
13
0
1
null
null
Simon Plouffe
2021-08-01T10:37:42
oeisdata/seq/A015/A015014.seq
937c0ee7b643230920198d702187989b
A015015
q-factorial numbers for q=-3.
[ "1", "1", "-2", "-14", "280", "17080", "-3108560", "-1700382320", "2788627004800", "13722833490620800", "-202576467988544249600", "-8971504037808659182035200", "1191954026463258458925196672000", "475090227821752019816863814722432000", "-568085339196037403679856371543830284544000", "-2037851067068183667490280132124059680133919488000" ]
[ "sign", "easy" ]
26
0
3
[ "A015001", "A015015" ]
null
Olivier Gérard
2025-05-30T10:10:38
oeisdata/seq/A015/A015015.seq
5fc5d453ba22fce34a31ee9765e5641d
A015016
Inverse of 1007th 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", "-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" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-07T10:50:39
oeisdata/seq/A015/A015016.seq
343dcb376558d8d63936fb7d9fb7c152
A015017
q-factorial numbers for q=-4.
[ "1", "1", "-3", "-39", "1989", "407745", "-333943155", "-1094331718935", "14343405840081045", "752010424789609108305", "-157707866234752874148183075", "-132294978377551030760819002477575", "443908259132104963309174796130361690725", "5958035886896289829709072930982993020807155425" ]
[ "sign", "easy" ]
24
0
3
[ "A015002", "A015017" ]
null
Olivier Gérard
2025-05-30T10:10:42
oeisdata/seq/A015/A015017.seq
3d3dd03516f1b2df9246abdbfa983207
A015018
q-factorial numbers for q=-5.
[ "1", "1", "-4", "-84", "8736", "4551456", "-11851991424", "-154324780331904", "10047160498728278016", "3270561732706527788046336", "-5323179358400075453935368658944", "-43320145405426340445710562789228109824", "1762701221841919957075369153792221868461981696", "358622481951075194907281490606356664886183644743663616" ]
[ "sign", "easy" ]
26
0
3
[ "A015004", "A015018" ]
null
Olivier Gérard
2025-05-30T10:10:46
oeisdata/seq/A015/A015018.seq
1abaf1d9973560c640a0bed28727cf1f
A015019
q-factorial numbers for q=-6.
[ "1", "1", "-5", "-155", "28675", "31857925", "-212333070125", "-8491411807368875", "2037471806119124711875", "2933289072587326393069793125", "-25337824341236140066496699758578125", "-1313212585969062194023540996089250607796875", "408368279891017634352398087776483543777178681171875" ]
[ "sign", "easy" ]
23
0
3
[ "A015005", "A015019" ]
null
Olivier Gérard
2025-05-30T10:10:50
oeisdata/seq/A015/A015019.seq
bb4d865579227d9fcca26843780a0e9c
A015020
q-factorial numbers for q=-7.
[ "1", "1", "-6", "-258", "77400", "162617400", "-2391451484400", "-246183190158589200", "177399606828279377520000", "894839274162813664365761520000", "-31596243236160097777438406008857120000", "-7809512095098558650122990001755435531352160000", "13511712475016607822799577492128185918816231362544000000" ]
[ "sign", "easy" ]
25
0
3
[ "A015006", "A015020" ]
null
Olivier Gérard
2025-05-30T10:11:12
oeisdata/seq/A015/A015020.seq
29d0955293bf163420122902dbcc59c5
A015021
Inverse of 1012th cyclotomic polynomial.
[ "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", "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" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-07T10:51:16
oeisdata/seq/A015/A015021.seq
d7486100a4ee6e719032ed0d9e835ccf
A015022
q-factorial numbers for q=-8.
[ "1", "1", "-7", "-399", "181545", "661005345", "-19253102683815", "-4486300228074519855", "8363069275661695069900425", "124719129516554187174725699959425", "-14879571721119777957252576955487113947975", "-14201616428474592152386976225370375696382583866575" ]
[ "sign", "easy" ]
24
0
3
[ "A015007", "A015022" ]
null
Olivier Gérard
2025-05-30T10:11:54
oeisdata/seq/A015/A015022.seq
e5f381fd28875459f2263aa7b5fd3bac
A015023
q-factorial numbers for q=-9.
[ "1", "1", "-8", "-584", "383104", "2262229120", "-120223904353280", "-57502732780460764160", "247530403723531598578155520", "9589835030046843645163231485460480", "-3343768718134086569119429099709242848051200", "-10493100546581905859843718978714438348266087953203200" ]
[ "sign", "easy" ]
22
0
3
[ "A015008", "A015023" ]
null
Olivier Gérard
2025-05-30T10:11:16
oeisdata/seq/A015/A015023.seq
0766ed1727821379ec8aa74db194bae9
A015024
Inverse of 1015th 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", "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", "1", "-1", "0", "0", "0", "1", "-1", "1", "-1", "0", "1", "-1", "1", "-1", "1", "0", "-1", "1", "-1", "1", "0", "0", "0" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-07T10:52:38
oeisdata/seq/A015/A015024.seq
7843fe1ba3214cf84850474c2c1d04e9
A015025
q-factorial numbers for q=-10.
[ "1", "1", "-9", "-819", "744471", "6767985861", "-615270826637649", "-559337171058846967059", "5084883322413411422459366631", "462262120681663158624798004859942421", "-420238291486760860506028808179511473194550689", "-3820348104463302212917240152587016011603143670290413699" ]
[ "sign", "easy" ]
21
0
3
[ "A015009", "A015025" ]
null
Olivier Gérard
2025-05-30T10:11:19
oeisdata/seq/A015/A015025.seq
ec3d3a06b950e944606ced4ff9c90c4c
A015026
q-factorial numbers for q=-11.
[ "1", "1", "-10", "-1110", "1354200", "18174718200", "-2683133647866000", "-4357223907912681246000", "77834136400782124140797040000", "15294068523753116384387488625702640000", "-33057395763506647102922925284376653918412000000", "-785971734280677729025139143429963192709390305509012000000" ]
[ "sign", "easy" ]
26
0
3
[ "A015011", "A015026" ]
null
Olivier Gérard
2025-05-30T10:11:25
oeisdata/seq/A015/A015026.seq
6beabd943dd81177cd4108ebc3f6f2fd
A015027
q-factorial numbers for q=-12.
[ "1", "1", "-11", "-1463", "2333485", "44665236385", "-10259202810507035", "-28277368892180867021255", "935288538953861649874525071325", "371221802129246962654056875248358359825", "-1768082733073463162105209099485375242162416580075", "-101053866980328304416804100016021966697144304636338865493975" ]
[ "sign", "easy" ]
29
0
3
[ "A015027", "A384454" ]
null
Olivier Gérard
2025-05-31T10:27:35
oeisdata/seq/A015/A015027.seq
0493da782c9192c32e02727f22b5fd7f
A015028
q-factorial numbers for q=-13.
[ "1", "1", "-12", "-1884", "3843360", "101929750560", "-35142523960072320", "-157510092662430660915840", "9177558663913662855639573043200", "6951672507594336724476921764731548211200", "-68453363408439970530162052940526993784438155878400", "-8762814767092584880014595182992133840006733019391100715212800" ]
[ "sign", "easy" ]
28
0
3
[ "A015028", "A384454" ]
null
Olivier Gérard
2025-05-31T10:27:30
oeisdata/seq/A015/A015028.seq
65056d39a685c38c3c6791e758d5dae4
A015029
Inverse of 1020th cyclotomic polynomial.
[ "1", "0", "1", "0", "0", "0", "-1", "0", "-1", "0", "-1", "0", "0", "0", "1", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "-1", "0", "0", "0", "1", "0", "1", "0", "1", "0", "0", "0", "-1", "0", "-1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "1", "0", "0", "0", "-1", "0", "-1", "0", "-1", "0", "0" ]
[ "sign" ]
13
0
1
null
null
Simon Plouffe
2023-07-08T10:19:00
oeisdata/seq/A015/A015029.seq
e419b7cec6bde24ce7cb39a54462a472
A015030
q-Catalan numbers (binomial version) for q=2.
[ "1", "1", "5", "93", "6477", "1733677", "1816333805", "7526310334829", "124031223014725741", "8152285307423733458541", "2140200604371078953284092525", "2245805993494514875022552272042605", "9423041917569791458584837551185555483245", "158121354267437848361217045222877873550507035245" ]
[ "nonn", "easy" ]
44
0
3
[ "A015030", "A015033", "A015035", "A015037", "A015042", "A015055", "A015058", "A015060", "A015062", "A015072", "A015077", "A015079", "A065446", "A136097" ]
null
Olivier Gérard
2023-02-27T18:06:29
oeisdata/seq/A015/A015030.seq
beabeb77d527817f68081000bd2932bd
A015031
Inverse of 1022nd cyclotomic polynomial.
[ "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", "1", "-1", "1", "-1", "1", "-1", "1", "0" ]
[ "sign" ]
14
0
1
null
null
Simon Plouffe
2017-04-07T10:53:57
oeisdata/seq/A015/A015031.seq
ab61b66ce471546ec8bf3a06ef40702f
A015032
Inverse of 1023rd 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", "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", "1", "-1", "0", "1", "-1", "0", "1", "-1", "0", "1", "-1", "1", "0", "-1", "1", "0", "-1", "1", "0" ]
[ "sign" ]
16
0
1
null
null
Simon Plouffe
2017-08-10T10:40:57
oeisdata/seq/A015/A015032.seq
305fb9d60812c993f7c3942993287740
A015033
q-Catalan numbers (binomial version) for q=3.
[ "1", "1", "10", "847", "627382", "4138659802", "244829520301060", "130191700295480695111", "622829375926755523108996006", "26812578369717035183629988539429726", "10387976772168532331015929118843873280496300" ]
[ "nonn", "easy" ]
15
0
3
[ "A015030", "A015033" ]
null
Olivier Gérard
2022-09-08T08:44:39
oeisdata/seq/A015/A015033.seq
9e089454d8738ad51075ce16921f12f9
A015034
q-Catalan numbers (binomial version) for q=4.
[ "1", "1", "17", "4433", "18245201", "1197172898385", "1255709588423576145", "21068918017101222558779985", "5655752483351603939678821837720145", "24291387778773301588924456932322615789898321" ]
[ "nonn", "easy" ]
10
0
3
[ "A015030", "A015034" ]
null
Olivier Gérard
2022-09-08T08:44:39
oeisdata/seq/A015/A015034.seq
60ca2ba2ef96a66b1f081d40e92744ed
A015035
q-Catalan numbers (binomial version) for q=5.
[ "1", "1", "26", "16401", "256754526", "100333200992026", "979891646733527648276", "239235033472903543542533976401", "1460179250460591912887733380834635929526" ]
[ "nonn", "easy" ]
4
0
3
null
null
Olivier Gérard
2012-03-30T17:20:37
oeisdata/seq/A015/A015035.seq
de1cfc03c202a60e8c0f3cf8a2e4efca
A015036
Inverse of 1027th 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", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "-1" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-07T10:55:22
oeisdata/seq/A015/A015036.seq
e82e8270915356e0feb321fb777cf614
A015037
q-Catalan numbers (binomial version) for q=6.
[ "1", "1", "37", "48205", "2251069309", "3781498934895517", "228658497157753687896157", "497741851942315778953758074621149", "39005151256058786340132305925534793975511005" ]
[ "nonn", "easy" ]
4
0
3
null
null
Olivier Gérard
2012-03-30T17:20:37
oeisdata/seq/A015/A015037.seq
f1e8ec3f8261562ae40b00297bb95c8b
A015038
q-Catalan numbers (binomial version) for q=7.
[ "1", "1", "50", "120443", "14176726502", "81731562414097002", "23087367704084630526165300", "319559330566264937870155968502833579", "216732554100846341408822827225378918525605881606" ]
[ "nonn", "easy" ]
4
0
3
null
null
Olivier Gérard
2012-03-30T17:20:37
oeisdata/seq/A015/A015038.seq
1e316321c30ef340237efc6139f8116d
A015039
q-Catalan numbers (binomial version) for q=8.
[ "1", "1", "65", "266817", "69963653697", "1173835620696269377", "1260401809332973746871411265", "86614199277767115453624156235708310081", "380933302489206359659857650468008737411766944866881" ]
[ "nonn", "easy" ]
4
0
3
null
null
Olivier Gérard
2012-03-30T17:20:37
oeisdata/seq/A015/A015039.seq
27246f74d1231796241b07ba3a20d2dd
A015040
q-Catalan numbers (binomial version) for q=9.
[ "1", "1", "82", "538813", "286395753646", "12328630051958712010", "42987364825231475446819490020", "12140904342526064511968354988982391829685" ]
[ "nonn", "easy" ]
4
0
3
null
null
Olivier Gérard
2012-03-30T17:20:37
oeisdata/seq/A015/A015040.seq
b8ff580b84076f7e7ae71ff5a21a6864
A015041
q-Catalan numbers (binomial version) for q=10.
[ "1", "1", "101", "1011101", "1011212121101", "101122324343423221101", "1011224355769798979675534221101", "1011224467004378104253524007733996644221101" ]
[ "nonn", "easy" ]
4
0
3
null
null
Olivier Gérard
2012-03-30T17:20:37
oeisdata/seq/A015/A015041.seq
f4fbe2f104c9deea89013439ec524949
A015042
q-Catalan numbers (binomial version) for q=11.
[ "1", "1", "122", "1787655", "3167175688854", "678916835046916685242", "17609365062977481891291808896932", "55265734103510888653163896029554175314160719" ]
[ "nonn", "easy" ]
4
0
3
null
null
Olivier Gérard
2012-03-30T17:20:37
oeisdata/seq/A015/A015042.seq
9e810554c79eef592cb8cf9f05fe6e46
A015043
Inverse of 1034th 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", "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" ]
[ "sign" ]
16
0
1
null
null
Simon Plouffe
2022-02-13T18:13:27
oeisdata/seq/A015/A015043.seq
818045af6ba8f1ae013883a504b5e65a
A015044
Inverse of 1035th 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", "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" ]
[ "sign" ]
13
0
1
null
null
Simon Plouffe
2017-04-07T10:56:46
oeisdata/seq/A015/A015044.seq
19f1d724ecc78b7019f9a988a9137060
A015045
Inverse of 1036th cyclotomic polynomial.
[ "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", "0", "0", "0", "0", "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" ]
[ "sign" ]
13
0
1
null
null
Simon Plouffe
2017-04-07T10:57:27
oeisdata/seq/A015/A015045.seq
e7335448dcbde6a18b1721cb79bd6cfc
A015046
Inverse of 1037th 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", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "0" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-07T10:58:05
oeisdata/seq/A015/A015046.seq
53151876e2c6dcb1e85c1dbb0b5a6a66
A015047
Numbers k such that S(k) = S(k-1) + S(k-2) where S is the Kempner function A002034.
[ "3", "11", "121", "4902", "26245", "32112", "64010", "368140", "415664", "2091206", "2519648", "4573053", "7783364", "12610170", "16739482", "20526651", "30744490", "31137773", "44893057", "79269727", "99681870", "112803824", "136193976", "213879072", "321022289", "445810543", "559199345", "617868162", "624292242" ]
[ "nonn" ]
19
1
1
[ "A002034", "A015047", "A015048", "A015049", "A015050", "A015051", "A015052", "A015053" ]
null
R. Muller (Research37(AT)aol.com)
2025-02-16T08:32:33
oeisdata/seq/A015/A015047.seq
f97db105077d8fea308f7f7e7e25a42a
A015048
Numbers n such that there are no primes between S(n) and S(n+1) inclusive where S is the Kempner function A002034.
[ "224", "2057", "265225", "843637", "6530355", "17161329", "24652435", "35558770", "40201975", "46297822", "67697937", "138852445", "157906534", "171531580", "299441785", "346603708", "551787925", "576453599", "576545462", "738839205", "1223918824", "1276553470", "1655870629", "1853717287", "1994004499" ]
[ "nonn" ]
36
1
1
null
null
R. Muller (Research37(AT)aol.com)
2025-02-16T08:32:33
oeisdata/seq/A015/A015048.seq
14426784e1453070c2e2dec20795bd41
A015049
Let m = A013929(n); then a(n) = smallest k such that m divides k^2.
[ "2", "4", "3", "6", "4", "6", "10", "12", "5", "9", "14", "8", "6", "20", "22", "15", "12", "7", "10", "26", "18", "28", "30", "21", "8", "34", "12", "15", "38", "20", "9", "42", "44", "30", "46", "24", "14", "33", "10", "52", "18", "28", "58", "39", "60", "11", "62", "25", "42", "16", "66", "45", "68", "70", "12", "21", "74", "30", "76", "51", "78", "40", "18", "82", "84", "13", "57", "86" ]
[ "nonn" ]
14
1
1
[ "A013929", "A015049", "A015050", "A015051", "A019554" ]
null
R. Muller
2024-01-06T09:20:52
oeisdata/seq/A015/A015049.seq
d9fcc2b1893b34cfe7b6c33548edc1cf
A015050
Let m = A013929(n); then a(n) = smallest k such that m divides k^3.
[ "2", "2", "3", "6", "4", "6", "10", "6", "5", "3", "14", "4", "6", "10", "22", "15", "12", "7", "10", "26", "6", "14", "30", "21", "4", "34", "6", "15", "38", "20", "9", "42", "22", "30", "46", "12", "14", "33", "10", "26", "6", "28", "58", "39", "30", "11", "62", "5", "42", "8", "66", "15", "34", "70", "12", "21", "74", "30", "38", "51", "78", "20", "18", "82", "42", "13", "57", "86" ]
[ "nonn" ]
17
1
1
[ "A013929", "A015049", "A015050", "A015051", "A019555" ]
null
R. Muller
2024-01-06T09:20:57
oeisdata/seq/A015/A015050.seq
216a39afae2da061b75651f16c3dbce7
A015051
Let m = A013929(n); then a(n) = smallest k such that m divides k^4.
[ "2", "2", "3", "6", "2", "6", "10", "6", "5", "3", "14", "4", "6", "10", "22", "15", "6", "7", "10", "26", "6", "14", "30", "21", "4", "34", "6", "15", "38", "10", "3", "42", "22", "30", "46", "12", "14", "33", "10", "26", "6", "14", "58", "39", "30", "11", "62", "5", "42", "4", "66", "15", "34", "70", "6", "21", "74", "30", "38", "51", "78", "20", "6", "82", "42", "13", "57", "86" ]
[ "nonn" ]
13
1
1
[ "A013929", "A015049", "A015050", "A015051", "A053166" ]
null
R. Muller
2024-01-06T09:21:03
oeisdata/seq/A015/A015051.seq
0a8c0927a014de78866a09b6d5047c94
A015052
a(n) is the smallest positive integer m such that m^5 is divisible by n.
[ "1", "2", "3", "2", "5", "6", "7", "2", "3", "10", "11", "6", "13", "14", "15", "2", "17", "6", "19", "10", "21", "22", "23", "6", "5", "26", "3", "14", "29", "30", "31", "2", "33", "34", "35", "6", "37", "38", "39", "10", "41", "42", "43", "22", "15", "46", "47", "6", "7", "10", "51", "26", "53", "6", "55", "14", "57", "58", "59", "30", "61", "62", "21", "4", "65", "66", "67", "34", "69", "70", "71", "6", "73", "74", "15", "38", "77", "78" ]
[ "nonn", "mult", "easy" ]
44
1
2
[ "A000188", "A013667", "A015052", "A015053", "A019554", "A019555", "A053150", "A053164", "A053166" ]
null
R. Muller
2025-02-16T08:32:33
oeisdata/seq/A015/A015052.seq
13242eaf02523bbaa59ab14d1a485602
A015053
Smallest positive integer for which n divides a(n)^6.
[ "1", "2", "3", "2", "5", "6", "7", "2", "3", "10", "11", "6", "13", "14", "15", "2", "17", "6", "19", "10", "21", "22", "23", "6", "5", "26", "3", "14", "29", "30", "31", "2", "33", "34", "35", "6", "37", "38", "39", "10", "41", "42", "43", "22", "15", "46", "47", "6", "7", "10", "51", "26", "53", "6", "55", "14", "57", "58", "59", "30", "61", "62", "21", "2", "65", "66", "67", "34", "69", "70", "71", "6", "73", "74", "15", "38", "77", "78" ]
[ "nonn", "mult", "easy" ]
38
1
2
[ "A000188", "A013669", "A015052", "A015053", "A019554", "A019555", "A053150", "A053164", "A053166" ]
null
R. Muller (Research37(AT)aol.com)
2025-02-16T08:32:33
oeisdata/seq/A015/A015053.seq
ab5e057eb564fc8d5060bf249eae4f00
A015054
Inverse of 1045th cyclotomic polynomial.
[ "1", "-1", "0", "0", "0", "1", "-1", "0", "0", "0", "1", "0", "-1", "0", "0", "1", "0", "-1", "0", "1", "0", "0", "0", "-1", "1", "0", "0", "0", "-1", "1", "1", "-1", "0", "0", "0", "1", "-1", "0", "1", "-1", "1", "0", "-1", "1", "0", "0", "0", "-1", "1", "1", "-1", "0", "0", "0", "1", "-1", "0", "1", "-1", "1", "0", "-1", "1", "0", "0", "0", "-1", "1", "1", "-1", "0", "0", "0", "1", "-1", "0", "1", "-1", "1", "0", "-1" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-07T10:58:42
oeisdata/seq/A015/A015054.seq
1bc93d475cd3fa570eb3a19be453e935
A015055
q-Catalan numbers (binomial version) for q=12.
[ "1", "1", "145", "3008593", "8984079652177", "3863006623296221245777", "239187274872617784539568647160145", "2132617833186094044575170253829071294297506129" ]
[ "nonn", "easy" ]
4
0
3
null
null
Olivier Gérard
2012-03-30T17:20:37
oeisdata/seq/A015/A015055.seq
bb7457a0e38b79011cd7bf7c4843bf24
A015056
q-Catalan numbers (binomial version) for q=-2.
[ "1", "1", "5", "77", "5117", "1291677", "1333581405", "5441592632541", "89331571319228381", "5848755670855706968541", "1533967407742898704050818525", "1608089383785066648192844419233245" ]
[ "nonn", "easy" ]
11
0
3
null
null
Olivier Gérard
2019-01-30T03:35:38
oeisdata/seq/A015/A015056.seq
17f06310f589770e4abd8678970fa514
A015057
q-Catalan numbers (binomial version) for q=-3.
[ "1", "1", "10", "793", "583102", "3815415802", "225503698948660", "119805449249886397129", "573084012222813752884459126", "24668552204097304242240261360949726", "9557210465694593089306513607806406698372300" ]
[ "nonn", "easy" ]
7
0
3
null
null
Olivier Gérard
2016-09-17T00:18:24
oeisdata/seq/A015/A015057.seq
b126662badbbb2ebeb662c9571844f9a
A015058
q-Catalan numbers (binomial version) for q=-4.
[ "1", "1", "17", "4305", "17685969", "1158222948817", "1214707441621563857", "20378476519005090654009809", "5470368244500158631765129973873105", "23494985488623606981701685225398976313178577" ]
[ "nonn", "easy" ]
4
0
3
null
null
Olivier Gérard
2012-03-30T17:20:37
oeisdata/seq/A015/A015058.seq
b1e17713eea1697dd043713757c09db7
A015059
Inverse of 1050th cyclotomic polynomial.
[ "1", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "-1", "0", "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", "1", "0", "0", "0", "0", "1", "0", "0", "0", "0", "1", "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
2024-02-19T17:44:32
oeisdata/seq/A015/A015059.seq
094c89e6f51cc62bc9c3b8ec4d93433e
A015060
q-Catalan numbers (binomial version) for q=-5.
[ "1", "1", "26", "16151", "252685526", "98680063948026", "963721858629894354276", "235281247773992038934697401151", "1436045713119204599875184429195350135526" ]
[ "nonn", "easy" ]
4
0
3
null
null
Olivier Gérard
2012-03-30T17:20:37
oeisdata/seq/A015/A015060.seq
3bd4a04f15a16e4979a22f001e2b6809
A015061
q-Catalan numbers (binomial version) for q=-6.
[ "1", "1", "37", "47773", "2230338061", "3745710394891885", "226492829959633927321645", "493024123850119464761454780231085", "38635442513535592967437553577069552272387245" ]
[ "nonn", "easy" ]
4
0
3
null
null
Olivier Gérard
2012-03-30T17:20:37
oeisdata/seq/A015/A015061.seq
56cd1d2b14629b3182cc2605ec6a5148
A015062
q-Catalan numbers (binomial version) for q=-7.
[ "1", "1", "50", "119757", "14094337902", "81246911474597002", "22950408766815313800875300", "317662868501471575977731478166067621", "215446318838899436153587239312460946873230930006" ]
[ "nonn", "easy" ]
4
0
3
null
null
Olivier Gérard
2012-03-30T17:20:37
oeisdata/seq/A015/A015062.seq
e4bc0b9a517a07eef63a13ea2c871d35
A015063
Inverse of 1054th 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", "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" ]
[ "sign" ]
13
0
1
null
null
Simon Plouffe
2020-01-28T19:18:15
oeisdata/seq/A015/A015063.seq
5fd840728781eea6097250e809e8731e
A015064
Weight distribution of [50,21,12] code associated with Hoffman-Singleton and Higman-Sims graphs.
[ "1", "0", "0", "0", "0", "0", "1050", "925", "21875", "68250", "169925", "333300", "453250", "453250", "333300", "169925", "68250", "21875", "925", "1050", "0", "0", "0", "0", "0", "1" ]
[ "nonn", "fini", "full", "changed" ]
11
0
7
null
null
N. J. A. Sloane
2025-07-08T05:42:47
oeisdata/seq/A015/A015064.seq
6f75ac05a3be961a7a2720d7409eb365
A015065
Weight distribution of [50,29,8] code associated with Hoffman-Singleton and Higman-Sims graphs.
[ "1", "0", "0", "0", "800", "8295", "114625", "920175", "4627875", "17257800", "45069885", "84369875", "116066125", "116066125", "84369875", "45069885", "17257800", "4627875", "920175", "114625", "8295", "800", "0", "0", "0", "1" ]
[ "nonn", "fini", "full", "changed" ]
11
0
5
null
null
N. J. A. Sloane
2025-07-08T05:42:53
oeisdata/seq/A015/A015065.seq
a78490b33dea66a0a1fc480ea4d7bdf4
A015066
Weight distribution of [50,22,7] code associated with Hoffman-Singleton and Higman-Sims graphs.
[ "1", "0", "0", "0", "0", "0", "0", "50", "0", "0", "0", "0", "1050", "0", "925", "12700", "21875", "34300", "68250", "107800", "169925", "258000", "333300", "404250", "453250", "462952", "453250", "404250", "333300", "258000", "169925", "107800", "68250", "34300", "21875", "12700", "925", "0", "1050", "0", "0", "0", "0", "50", "0", "0", "0", "0", "0", "0", "1" ]
[ "nonn", "fini", "full", "changed" ]
11
0
8
null
null
N. J. A. Sloane
2025-07-08T05:42:59
oeisdata/seq/A015/A015066.seq
2ebf00327950039c9f161584909376df
A015067
Weight distribution of [50,28,8] code associated with Hoffman-Singleton and Higman-Sims graphs.
[ "1", "0", "0", "0", "750", "7770", "52675", "449550", "2311575", "8624700", "22661835", "42102850", "57811425", "58254700", "42267025", "22408050", "8633100", "2316300", "470625", "61950", "525", "50", "0", "0", "0", "1" ]
[ "nonn", "fini", "full", "changed" ]
11
0
5
null
null
N. J. A. Sloane
2025-07-08T05:43:05
oeisdata/seq/A015/A015067.seq
24c82c09e9d03c9a04b897df3053c162
A015068
Weight distribution of [100,22,22] code associated with Hoffman-Singleton and Higman-Sims graphs.
[ "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "100", "0", "0", "0", "1100", "3850", "0", "4125", "38500", "92400", "193600", "347600", "485100", "600600", "660352", "600600", "485100", "347600", "193600", "92400", "38500", "4125", "0", "3850", "1100", "0", "0", "0", "100", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1" ]
[ "nonn", "fini", "full", "changed" ]
11
0
12
null
null
N. J. A. Sloane
2025-07-08T05:43:10
oeisdata/seq/A015/A015068.seq
6097ec0bcadb606673946d2f13ff2dcf
A015069
Weight distribution of [100,78,6] code associated with Hoffman-Singleton and Higman-Sims graphs.
[ "1", "0", "0", "3850", "0", "8625540", "504741475", "21060732550", "641604305375", "14622264133400", "255578801503795", "3496197414021950", "38040184865580975", "333583288959605300", "2383620258950558925", "14005822677643540370", "68193674451079227050", "276907651030419444000", "942804612331379390725", "2703690041528811696900", "6554715235199646035290", "13474850115575617584200", "23545377618939915393150", "35033702002644035359900", "44444350668327576562750", "48108741996656177342352" ]
[ "nonn", "fini", "full", "changed" ]
13
0
4
[ "A015069", "A015070", "A015071" ]
null
N. J. A. Sloane
2025-07-08T05:43:17
oeisdata/seq/A015/A015069.seq
cd186c585d7f4bc038a6654c1b693c7b
A015070
Weight distribution of [100,22,32] code associated with Hoffman-Singleton and Higman-Sims graphs.
[ "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "3850", "5600", "4125", "0", "92400", "387200", "347600", "0", "600600", "1311552", "600600", "0", "347600", "387200", "92400", "0", "4125", "5600", "3850", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1" ]
[ "nonn", "fini", "full", "changed" ]
11
0
17
[ "A015070", "A015071" ]
null
N. J. A. Sloane
2025-07-08T05:43:24
oeisdata/seq/A015/A015070.seq
da0ead75388185df2be3b1192a0fff0e
A015071
Weight distribution of [100,78,8] code associated with Hoffman-Singleton and Higman-Sims graphs.
[ "1", "0", "0", "0", "137225", "7231840", "511741475", "20997046400", "642104180575", "14620696059200", "255580729090995", "3496191224323200", "38040223036760175", "333583215539666400", "2383620193904285325", "14005823013894187520", "68193674589734420650", "276907649362395385600", "942804613467381809925", "2703690046024936460800", "6554715226694274576090", "13474850114631510264000", "23545377636355278743550", "35033701987289528723200", "44444350658167367673150", "48108742023087188141952" ]
[ "nonn", "fini", "full", "changed" ]
13
0
5
null
null
N. J. A. Sloane
2025-07-08T05:43:30
oeisdata/seq/A015/A015071.seq
bc4453cfe1ceb0eb03921e572be0bae5
A015072
q-Catalan numbers (binomial version) for q=-8.
[ "1", "1", "65", "265793", "69690957377", "1169189032203853377", "1255411354557002675473292865", "86271175378590615960023796743819697729", "379424661671199524960693236715772257964919647837761" ]
[ "nonn", "easy" ]
4
0
3
null
null
Olivier Gérard
2012-03-30T17:20:37
oeisdata/seq/A015/A015072.seq
815afc2640ea4b9b0748bfa1baa12db9
A015073
Inverse of 1064th 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", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "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" ]
[ "sign" ]
13
0
1
null
null
Simon Plouffe
2020-06-27T10:24:13
oeisdata/seq/A015/A015073.seq
dd91f7bb86a2d6387a7955f37e7e4449
A015074
Inverse of 1065th 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", "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" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-07T11:01:21
oeisdata/seq/A015/A015074.seq
d3af29cb2d4236a114fb1ab9b331f73b
A015075
Inverse of 1066th 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", "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" ]
[ "sign" ]
13
0
1
null
null
Simon Plouffe
2017-12-04T21:30:47
oeisdata/seq/A015/A015075.seq
0fedb2ceccabc567f914739260d7c261
A015076
Inverse of 1067th 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", "0", "0", "0", "0" ]
[ "sign" ]
15
0
1
null
null
Simon Plouffe
2024-01-12T08:11:53
oeisdata/seq/A015/A015076.seq
1d9f5729674eb022ea77b6206d1ef09f
A015077
q-Catalan numbers (binomial version) for q=-9.
[ "1", "1", "82", "537355", "285611227174", "12294441765937436842", "42868139471008987306371257332", "12107226510541735123474554479514562160539" ]
[ "nonn", "easy" ]
4
0
3
null
null
Olivier Gérard
2012-03-30T17:20:37
oeisdata/seq/A015/A015077.seq
edb5d702ad85fccacd5b4e14814e5726
A015078
q-Catalan numbers (binomial version) for q=-10.
[ "1", "1", "101", "1009101", "1009191919101", "100918283737382819101", "1009183745648382838465473819101", "1009183654821945740211120375492184563819101" ]
[ "nonn", "easy" ]
4
0
3
null
null
Olivier Gérard
2012-03-30T17:20:37
oeisdata/seq/A015/A015078.seq
a991b2c209eded40b06ded08de0841ea
A015079
q-Catalan numbers (binomial version) for q=-11.
[ "1", "1", "122", "1784993", "3162420494366", "677889092180295554010", "17582706239031734855147601736020", "55182061625844132594149408768243237640344385" ]
[ "nonn", "easy" ]
4
0
3
null
null
Olivier Gérard
2012-03-30T17:20:37
oeisdata/seq/A015/A015079.seq
acb67e1d656b0d609d9d0a645f5c6a4d
A015080
Inverse of 1071st cyclotomic polynomial.
[ "1", "0", "0", "-1", "0", "0", "0", "0", "0", "1", "0", "0", "-1", "0", "0", "0", "0", "0", "1", "0", "0", "0", "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", "1", "0", "0", "-1", "0", "0", "0", "0", "0", "1", "0", "0", "-1", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "-1", "0", "0", "1", "0", "0" ]
[ "sign" ]
14
0
1
null
null
Simon Plouffe
2017-04-07T11:03:49
oeisdata/seq/A015/A015080.seq
c1e439ad88372b5c38eb63b1ce4d1d24
A015081
q-Catalan numbers (binomial version) for q=-12.
[ "1", "1", "145", "3005137", "8973687926737", "3858507340534467277777", "238908677707677233665446162465745", "2130133713907575249526778398152908510009115601" ]
[ "nonn", "easy" ]
4
0
3
null
null
Olivier Gérard
2012-03-30T17:20:37
oeisdata/seq/A015/A015081.seq
bf30b8a98773a1dd06549c4ab6d81eea
A015082
Inverse of 1073rd 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", "-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" ]
[ "sign" ]
16
0
1
null
null
Simon Plouffe
2023-01-23T14:52:51
oeisdata/seq/A015/A015082.seq
01c312e1f073e720555f36e1cd5d7b0c
A015083
Carlitz-Riordan q-Catalan numbers (recurrence version) for q=2.
[ "1", "1", "3", "17", "171", "3113", "106419", "7035649", "915028347", "236101213721", "121358941877763", "124515003203007345", "255256125633703622475", "1046039978882750301409545", "8571252355254982356001107795", "140448544236464264647066322058465", "4602498820363674769217316088142020635" ]
[ "nonn" ]
85
0
3
[ "A000108", "A015083", "A015084", "A015085", "A015086", "A015089", "A015091", "A015092", "A015093", "A015095", "A015096", "A015097", "A015098", "A015099", "A015100", "A015102", "A015103", "A015105", "A015106", "A015107", "A015108", "A065446", "A090182", "A090192", "A227543", "A290759" ]
null
Olivier Gérard
2019-11-17T13:30:25
oeisdata/seq/A015/A015083.seq
235064ad982c93cdf4762a4922d6f507
A015084
Carlitz-Riordan q-Catalan numbers for q=3.
[ "1", "1", "4", "43", "1252", "104098", "25511272", "18649337311", "40823535032644", "267924955577741566", "5274102955963545775864", "311441054994969341088610030", "55171471477692117486494217498280" ]
[ "nonn" ]
79
0
3
[ "A000108", "A015083", "A015084", "A015085", "A015086", "A015089", "A015091", "A015092", "A015093", "A015095", "A015096", "A015097", "A015098", "A015099", "A015100", "A015102", "A015103", "A015105", "A015106", "A015107", "A015108", "A090182", "A090192", "A227543", "A290759" ]
null
Olivier Gérard
2019-11-17T09:28:49
oeisdata/seq/A015/A015084.seq
5fd92acbae559e5724f1e97721cc3868
A015085
Carlitz-Riordan q-Catalan numbers (recurrence version) for q=4.
[ "1", "1", "5", "89", "5885", "1518897", "1558435125", "6386478643785", "104648850228298925", "6858476391221411106209", "1797922152786660462507074405", "1885261615172756172119161342909753" ]
[ "nonn" ]
62
0
3
[ "A000108", "A015083", "A015084", "A015085", "A015086", "A015089", "A015091", "A015092", "A015093", "A015095", "A015096", "A015097", "A015098", "A015099", "A015100", "A015102", "A015103", "A015105", "A015106", "A015107", "A015108", "A090182", "A090192", "A227543", "A290759" ]
null
Olivier Gérard
2021-11-03T07:56:58
oeisdata/seq/A015/A015085.seq
c5ae415413b4adec5c7e9ca4fbde340a
A015086
Carlitz-Riordan q-Catalan numbers (recurrence version) for q=5.
[ "1", "1", "6", "161", "20466", "12833546", "40130703276", "627122621447281", "48995209411107768186", "19138851672289046707772366", "37380607950584029444762130426196" ]
[ "nonn" ]
39
0
3
[ "A000108", "A015083", "A015084", "A015085", "A015086", "A015089", "A015091", "A015092", "A015093", "A015095", "A015096", "A015097", "A015098", "A015099", "A015100", "A015102", "A015103", "A015105", "A015106", "A015107", "A015108", "A090182", "A090192", "A227543", "A290759" ]
null
Olivier Gérard
2019-11-17T09:29:04
oeisdata/seq/A015/A015086.seq
c971935e92873521788937e6173c536f
A015087
Inverse of 1078th cyclotomic polynomial.
[ "1", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "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", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0" ]
[ "sign" ]
13
0
1
null
null
Simon Plouffe
2017-04-07T11:05:09
oeisdata/seq/A015/A015087.seq
55006e16d4522455b057854882e98e38
A015088
Inverse of 1079th 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", "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
2017-12-23T12:18:26
oeisdata/seq/A015/A015088.seq
22db02f748a4a135405e0bad9d1f1857
A015089
Carlitz-Riordan q-Catalan numbers (recurrence version) for q=6.
[ "1", "1", "7", "265", "57799", "75025897", "583552122727", "27227375795690569", "7621977131953256556295", "12802009986716861649949951657", "129014790439200398432389878440405671" ]
[ "nonn" ]
37
0
3
[ "A000108", "A015083", "A015084", "A015085", "A015086", "A015089", "A015091", "A015092", "A015093", "A015095", "A015096", "A015097", "A015098", "A015099", "A015100", "A015102", "A015103", "A015105", "A015106", "A015107", "A015108", "A090182", "A090192", "A227543", "A290759" ]
null
Olivier Gérard
2019-11-17T09:29:11
oeisdata/seq/A015/A015089.seq
3de69b506b73527301fbd4b2d4700193
A015090
Inverse of 1081st 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", "-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" ]
[ "sign" ]
17
0
1
null
null
Simon Plouffe
2017-04-07T11:06:28
oeisdata/seq/A015/A015090.seq
59e609ad16ed329e1e5ad4094c37d463
A015091
Carlitz-Riordan q-Catalan numbers (recurrence version) for q=7.
[ "1", "1", "8", "407", "140456", "337520898", "5673390747984", "667480099386451779", "549699898523248769128232", "3168911624115201777713785471406", "127877020635106970108300418456422667248" ]
[ "nonn" ]
43
0
3
[ "A000108", "A015083", "A015084", "A015085", "A015086", "A015089", "A015091", "A015092", "A015093", "A015095", "A015096", "A015097", "A015098", "A015099", "A015100", "A015102", "A015103", "A015105", "A015106", "A015107", "A015108", "A090182", "A090192", "A227543", "A290759" ]
null
Olivier Gérard
2019-11-17T09:29:18
oeisdata/seq/A015/A015091.seq
d7043c89a1ade2add980ee6c135e6d46
A015092
Carlitz-Riordan q-Catalan numbers (recurrence version) for q=8.
[ "1", "1", "9", "593", "304857", "1249312673", "40939981188777", "10732252327798007281", "22507185898866512901924729", "377607964391970470904956530918721", "50681683810611444451901001718927186370889" ]
[ "nonn" ]
34
0
3
[ "A000108", "A015083", "A015084", "A015085", "A015086", "A015089", "A015091", "A015092", "A015093", "A015095", "A015096", "A015097", "A015098", "A015099", "A015100", "A015102", "A015103", "A015105", "A015106", "A015107", "A015108", "A090182", "A090192", "A227543", "A290759" ]
null
Olivier Gérard
2019-11-17T09:29:25
oeisdata/seq/A015/A015092.seq
39d04d15bdfc86388cdf839ffb0a3113
A015093
Carlitz-Riordan q-Catalan numbers (recurrence version) for q=9.
[ "1", "1", "10", "829", "606070", "3977651242", "234884294434900", "124827614155955343925", "597046858511123656669455550", "25700910736350654917922270058287454", "9957059456624152426469878400757673046606860" ]
[ "nonn" ]
41
0
3
[ "A000108", "A015083", "A015084", "A015085", "A015086", "A015089", "A015091", "A015092", "A015093", "A015095", "A015096", "A015097", "A015098", "A015099", "A015100", "A015102", "A015103", "A015105", "A015106", "A015107", "A015108", "A090182", "A090192", "A227543", "A290759" ]
null
Olivier Gérard
2019-11-17T09:29:33
oeisdata/seq/A015/A015093.seq
c24ce696eb7c5d920fe9a642f78e2fd6
A015094
Inverse of 1085th 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", "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", "1", "-1", "0", "0", "0", "1", "-1", "1", "-1", "0", "1", "-1", "1", "-1", "1", "0", "-1", "1", "-1" ]
[ "sign" ]
13
0
1
null
null
Simon Plouffe
2017-07-09T11:19:27
oeisdata/seq/A015/A015094.seq
0e9bdb6be951debcc6883edb50ec6128
A015095
Carlitz-Riordan q-Catalan numbers (recurrence version) for q=10.
[ "1", "1", "11", "1121", "1123331", "11235577641", "1123580257785051", "1123582505161487376561", "11235827298801257861061293171", "1123582752351801734250808539216885881" ]
[ "nonn" ]
40
0
3
[ "A000108", "A015083", "A015084", "A015085", "A015086", "A015089", "A015091", "A015092", "A015093", "A015095", "A015096", "A015097", "A015098", "A015099", "A015100", "A015102", "A015103", "A015105", "A015106", "A015107", "A015108", "A090182", "A090192", "A227543", "A290759" ]
null
Olivier Gérard
2019-11-17T09:29:46
oeisdata/seq/A015/A015095.seq
5195e21c0473489ffe40081f4882f765
A015096
Carlitz-Riordan q-Catalan numbers (recurrence version) for q=11.
[ "1", "1", "12", "1475", "1966284", "28792327202", "4637090716230072", "8214898341126993790759", "160085145151052208703206236460", "34315672899472590258644379240786601502" ]
[ "nonn" ]
37
0
3
[ "A000108", "A015083", "A015084", "A015085", "A015086", "A015089", "A015091", "A015092", "A015093", "A015095", "A015096", "A015097", "A015098", "A015099", "A015100", "A015102", "A015103", "A015105", "A015106", "A015107", "A015108", "A090182", "A090192", "A227543", "A290759" ]
null
Olivier Gérard
2018-10-24T08:22:21
oeisdata/seq/A015/A015096.seq
2f6d436f544ffadb7c5cf1a4dab65bac
A015097
Carlitz-Riordan q-Catalan numbers (recurrence version) for q=-2.
[ "1", "1", "-1", "-7", "47", "873", "-26433", "-1749159", "220526159", "56904690761", "-29022490524961", "-29777360924913095", "60924625361199230575", "249669263740090899509545", "-2044791574538659983034398465", "-33505955988983997787211823466215" ]
[ "sign" ]
49
0
4
[ "A000108", "A015083", "A015084", "A015085", "A015086", "A015089", "A015091", "A015092", "A015093", "A015095", "A015096", "A015097", "A015098", "A015099", "A015100", "A015102", "A015103", "A015105", "A015106", "A015107", "A015108", "A090192", "A227543", "A290789" ]
null
Olivier Gérard
2021-03-09T19:11:52
oeisdata/seq/A015/A015097.seq
d60b9dc2249fdb8728afbdd939275b15
A015098
Carlitz-Riordan q-Catalan numbers (recurrence version) for q=-3.
[ "1", "1", "-2", "-23", "586", "48778", "-11759396", "-8596478231", "18783386191762", "123275424165263086", "-2426183754235085042972", "-143268577734839493464012630", "25379312219817753259837452498340" ]
[ "sign" ]
40
0
3
[ "A000108", "A015083", "A015084", "A015085", "A015086", "A015089", "A015091", "A015092", "A015093", "A015095", "A015096", "A015097", "A015098", "A015099", "A015100", "A015102", "A015103", "A015105", "A015106", "A015107", "A015108", "A090192", "A227543", "A290789" ]
null
Olivier Gérard
2019-11-17T09:30:00
oeisdata/seq/A015/A015098.seq
038dc04847d91e5024d0d90d3b8fd363
A015099
Carlitz-Riordan q-Catalan numbers (recurrence version) for q=-4.
[ "1", "1", "-3", "-55", "3429", "885137", "-904638963", "-3707218743911", "60731665539301365", "3980231929565571675617", "-1043385959026442521712292579", "-1094071562179856506263860787078039" ]
[ "sign" ]
34
0
3
[ "A000108", "A015083", "A015084", "A015085", "A015086", "A015089", "A015091", "A015092", "A015093", "A015095", "A015096", "A015097", "A015098", "A015099", "A015100", "A015102", "A015103", "A015105", "A015106", "A015107", "A015108", "A090192", "A227543", "A290789" ]
null
Olivier Gérard
2018-10-24T08:27:05
oeisdata/seq/A015/A015099.seq
773268937fd7dfe7a81776b8faac25d2
A015100
Carlitz-Riordan q-Catalan numbers (recurrence version) for q=-5.
[ "1", "1", "-4", "-109", "13436", "8425506", "-26312994024", "-411193252871529", "32123650782112689116", "12548365338592689141400286", "-24508500955561451477156078353144" ]
[ "sign" ]
39
0
3
[ "A000108", "A015083", "A015084", "A015085", "A015086", "A015089", "A015091", "A015092", "A015093", "A015095", "A015096", "A015097", "A015098", "A015099", "A015100", "A015102", "A015103", "A015105", "A015106", "A015107", "A015108", "A090192", "A227543", "A290789" ]
null
Olivier Gérard
2019-11-17T09:30:07
oeisdata/seq/A015/A015100.seq
9b3ac4246a55c5f313dfef1d77877ffc