Datasets:
N8Programs
/
oeis-enhanced

Dataset card Data Studio Files
xet
Community
1
id
stringlengths
7
11
seq
listlengths
1
347
keywords
listlengths
1
8
⌀
A285019
[ 1, 1, 1, 5, 35, 7, 77, 143, 715, 12155, 46189, 29393, 676039, 1300075, 185725, 1077205, 33393355, 21607465, 756261275, 1472719325, 3829070245, 22427411435, 87670790155, 19058867425, 895766768975, 1755702867191 ]
[ "nonn", "frac" ]
A214273
[ 0, 2, 1, 8, 12, 23, 51, 90, 165, 295, 550, 952, 1682, 2974, 5151, 9007, 15530, 26848, 46194, 79404, 136092, 232622, 397633, 677892, 1154741, 1964078, 3337218, 5664428, 9605090, 16274305, 27548925, 46602325, 78775262, 133073729, 224662007, 379067097, 639250682 ]
[ "nonn" ]
A207084
[ 13, 169, 1393, 10621, 75221, 518001, 3500117, 23428181, 155913829, 1034324253, 6848794157, 45301138173, 299456026377, 1978795266229, 13073066599357, 86357724891721, 570419071704225, 3767635749133789, 24884750059577650 ]
[ "nonn" ]
A129116
[ 1, 1, 2, 1, 2, 6, 1, 2, 3, 24, 1, 2, 3, 8, 120, 1, 2, 3, 4, 15, 720, 1, 2, 3, 4, 10, 48, 5040, 1, 2, 3, 4, 5, 18, 105, 40320, 1, 2, 3, 4, 5, 12, 28, 384, 362880, 1, 2, 3, 4, 5, 6, 21, 80, 945, 3628800, 1, 2, 3, 4, 5, 6, 14, 32, 162, 3840, 39916800, 1, 2, 3, 4, 5, 6, 7, 24, 45, 280, 10395, 479001600 ]
[ "easy", "nonn", "tabl" ]
A227688
[ 1, 2, 5, 3, 7, 4, 13, 9, 5, 21, 11, 17, 6, 19, 13, 20, 7, 22, 15, 23, 8, 41, 25, 17, 26, 9, 46, 28, 19, 29, 49, 10, 41, 31, 21, 32, 54, 11, 45, 34, 23, 35, 47, 12, 73, 49, 37, 25, 38, 64, 13, 79, 53, 40, 27, 41, 55, 97, 14, 71, 43, 72, 29, 44, 59, 104, 15 ]
[ "nonn", "frac", "easy" ]
A209827
[ 33725, 4998707, 773359089, 122849339000, 19693265761805, 3169393696357783, 510927200467908540, 82424301419377850000, 1.330109238157734e+22, 2.146734609278246e+24, 3.464934875280338e+26 ]
[ "nonn" ]
A351693
[ 2, 3, 29, 13, 47, 19, 31, 647, 101, 107, 181, 569, 109, 839, 199, 811, 283, 373, 97, 73, 151, 79, 229, 149, 103, 443, 401, 701, 167, 751, 1901, 347, 379, 197, 157, 227, 673, 193, 383, 277, 353, 991, 313, 359, 419, 337, 911, 461, 1319, 1279, 349, 757, 2957, 1747, 827, 631, 457, 1511, 1249, 1559, 1091 ]
[ "nonn" ]
A322058
[ 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 5, 6, 5, 3, 1, 1, 2, 5, 10, 16, 20, 20, 15, 9, 4, 1, 1, 2, 5, 10, 20, 32, 51, 67, 79, 80, 68, 49, 29, 14, 5, 1, 1, 2, 5, 10, 20, 36, 61, 96, 148, 208, 268, 321, 351, 347, 308, 241, 165, 98, 49, 20, 6, 1, 1, 2, 5, 10, 20, 36, 65, 106, 171, 262, 397, 568, 784, 1019, 1264, 1478, 1628, 1681, 1619, 1441, 1173, 866, 574, 338, 174, 76, 27, 7, 1 ]
[ "nonn", "tabf" ]
A182274
[ 1, 3, 6, 31, 8, 10, 4, 5, 40, 9, 7, 2, 22, 27, 90, 13, 18, 81, 36, 310, 45, 400, 97, 222, 72, 79, 722, 227, 272, 279, 727, 900, 100, 101, 88, 104, 54, 540, 109, 790, 131, 313, 63, 136, 318, 181, 363, 188, 810, 401, 813, 631, 818, 881, 888, 1000, 404, 545, 409 ]
[ "nonn", "base", "easy" ]
A137074
[ 2, 22, 28, 88, 278, 472, 478, 482, 2872, 2878, 4832, 47732, 47778, 47838, 48722, 48872, 272732, 278832, 287878, 887878, 2728338, 2788778, 4844878, 8847838, 27243878, 27244878, 27283472, 27828732, 28782438, 47373872, 47778482, 48344878, 48772778, 88477332, 88728732, 88734372, 273474832, 278284878, 288484372, 477223472, 477372378 ]
[ "base", "nonn" ]
A056254
[ 1, 7, 139, 229, 425, 461, 725, 1973, 7229, 45859, 47303 ]
[ "nonn", "hard" ]
A286296
[ 4, 4, 3, 5, 7, 11, 17, 17, 37, 23, 47, 37, 29, 19, 47, 59, 19, 37, 71, 59, 31, 67, 239, 101, 739, 409, 43, 367, 167, 251, 73, 71, 419, 1567, 107, 83, 223, 191, 227, 449, 97, 173, 103, 523, 79, 137, 223, 1163, 661, 103, 103, 541, 227, 2383, 433, 71, 1069, 643, 251, 163 ]
[ "nonn" ]
A389950
[ 1, 47, 4264, 416150, 41586160, 4159363010, 415954865054, 41595434367696, 4159535757149773, 415953684178098100, 41595368549000405000, 4.159536861513494e+21, 4.1595368623221095e+23, 4.15953686291684e+25, 4.159536862907238e+27, 4.159536862903465e+29 ]
[ "nonn", "changed" ]
A010766
[ 1, 2, 1, 3, 1, 1, 4, 2, 1, 1, 5, 2, 1, 1, 1, 6, 3, 2, 1, 1, 1, 7, 3, 2, 1, 1, 1, 1, 8, 4, 2, 2, 1, 1, 1, 1, 9, 4, 3, 2, 1, 1, 1, 1, 1, 10, 5, 3, 2, 2, 1, 1, 1, 1, 1, 11, 5, 3, 2, 2, 1, 1, 1, 1, 1, 1, 12, 6, 4, 3, 2, 2, 1, 1, 1, 1, 1, 1, 13, 6, 4, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1 ]
[ "nonn", "tabl", "easy", "nice" ]
A160994
[ 3, 7, 7, 19, 19, 139, 151, 211, 211, 211, 421, 2311, 2311, 92401, 120121, 120121, 180181, 2312311 ]
[ "nonn", "more" ]
A142718
[ 1, 1, 11, 17, 29, 199, 321, 521, 3571, 5777, 9349, 64079, 103681, 167761, 1149851, 1860497, 3010349, 20633239, 33385281, 54018521, 370248451, 599074577, 969323029, 6643838879, 10749957121, 17393796001, 119218851371, 192900153617, 312119004989, 2139295485799 ]
[ "easy", "nonn" ]
A110447
[ 1, 1, 2, 6, 23, 104, 531, 2982, 18109, 117545, 808764, 5862253, 44553224, 353713232, 2924697019, 25124481690, 223768976093, 2062614190733, 19646231085928, 193102738376890, 1956191484175505, 20401540100814144, 218825717967033380, 2411606083999342000 ]
[ "nonn" ]
A284872
[ 1, 3795, 56672, 318780, 680064, 850080, 1457280, 1275120, 0, 0, 1854720, 0, 0, 1457280, 1360128, 0, 0, 0, 0, 0, 0, 0, 887040 ]
[ "nonn", "fini", "full" ]
A108593
[ 6, 12, 18, 25, 31, 1, 37, 44, 50, 56, 63, 2, 69, 75, 82, 88, 94, 3, 100, 107, 113, 119, 126, 132, 4, 138, 145, 151, 157, 164, 5, 170, 176, 182, 189, 195, 7, 201, 208, 214, 220, 227, 233, 8, 239, 246, 252, 258, 264, 9, 271, 277, 283, 290, 296, 10, 302, 309, 315, 321 ]
[ "nonn" ]
A371512
[ 13, 37, 163, 1861, 22481, 304949, 5455573, 112345687, 2831681057, 68057976031, 1953952652167, 61390449569437, 2224884906436873, 77181689614101180, 3052505832274232300, 129003238915759600000, 6.090208982148446e+21, 2.766672132963989e+23, 1.3944042713948404e+25 ]
[ "nonn", "base" ]
A366266
[ 1, 2, 6, 30, 170, 1050, 6846, 46374, 323154, 2301618, 16680246, 122607342, 911868282, 6849381194, 51885977838, 395941193718, 3040818657954, 23485437201762, 182297207394150, 1421357996034750, 11126867651367498, 87421958424703100, 689130671539597800 ]
[ "nonn" ]
A267047
[ 1, 3, 5, 9, 14, 22, 27, 39, 44, 60, 65, 85, 90, 114, 119, 147, 152, 184, 189, 225, 230, 270, 275, 319, 324, 372, 377, 429, 434, 490, 495, 555, 560, 624, 629, 697, 702, 774, 779, 855, 860, 940, 945, 1029, 1034, 1122, 1127, 1219, 1224, 1320, 1325, 1425, 1430 ]
[ "nonn", "easy" ]
A263837
[ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 21, 22, 23, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 37, 38, 39, 41, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 55, 57, 58, 59, 61, 62, 63, 64, 65, 67, 68, 69, 71, 73, 74, 75, 76, 77, 79, 81, 82, 83, 85, 86, 87, 89, 91, 92, 93, 94, 95, 97, 98, 99 ]
[ "nonn" ]
A224896
[ 1, 34, 56, 1222, 1555, 25554, 29998, 433330, 7988888882, 1101010101010, 1222222222222, 158585858585858, 172727272727272, 21515151515151510, 23131313131313130, 2797979797979798000, 2979797979797979600, 352525252525252540000, 372727272727272750000 ]
[ "nonn", "base" ]
A034870
[ 1, 1, 2, 1, 1, 4, 6, 4, 1, 1, 6, 15, 20, 15, 6, 1, 1, 8, 28, 56, 70, 56, 28, 8, 1, 1, 10, 45, 120, 210, 252, 210, 120, 45, 10, 1, 1, 12, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12, 1, 1, 14, 91, 364, 1001, 2002, 3003, 3432, 3003, 2002, 1001, 364, 91, 14, 1 ]
[ "nonn", "tabf", "easy" ]
A140709
[ 1, 1, 1, 3, 2, 1, 15, 5, 3, 1, 87, 20, 8, 4, 1, 567, 107, 28, 12, 5, 1, 4167, 674, 135, 40, 17, 6, 1, 34407, 4841, 809, 175, 57, 23, 7, 1, 316647, 39248, 5650, 984, 232, 80, 30, 8, 1, 3219687, 355895, 44898, 6634, 1216, 312, 110, 38, 9, 1, 35878887, 3575582, 400793, 51532, 7850, 1528, 422, 148, 47, 10, 1 ]
[ "nonn", "tabl" ]
A365113
[ 1, 1, 3, 9, 31, 114, 438, 1739, 7077, 29364, 123756, 528324, 2279868, 9928679, 43580301, 192601419, 856317717, 3827501985, 17188943523, 77521747638, 350959738842, 1594390493067, 7266093316649, 33209221327752, 152182572790008, 699083290518817, 3218624408121555 ]
[ "nonn" ]
A258159
[ 3, 5, 7, 9, 15, 17, 19, 21, 31, 33, 63, 65, 67, 71, 73, 85, 127, 129, 255, 257, 259, 261, 271, 273, 307, 341, 511, 513, 519, 585, 1023, 1025, 1027, 1035, 1055, 1057, 1117, 1365, 2047, 2049, 2071, 2137, 4095, 4097, 4099, 4101, 4103, 4105, 4109, 4111, 4117, 4131, 4135, 4141, 4159 ]
[ "nonn", "base" ]
A040298
[ 17, 1, 3, 2, 8, 2, 3, 1, 34, 1, 3, 2, 8, 2, 3, 1, 34, 1, 3, 2, 8, 2, 3, 1, 34, 1, 3, 2, 8, 2, 3, 1, 34, 1, 3, 2, 8, 2, 3, 1, 34, 1, 3, 2, 8, 2, 3, 1, 34, 1, 3, 2, 8, 2, 3, 1, 34, 1, 3, 2, 8, 2, 3, 1, 34, 1, 3, 2, 8, 2, 3, 1, 34, 1, 3, 2, 8, 2, 3, 1, 34, 1, 3, 2, 8, 2, 3, 1 ]
[ "nonn", "cofr", "easy" ]
A115830
[ 0, 11, 110, 1100, 11000, 110000, 1100000, 11000000, 11000011, 110000000, 110000011, 110000110, 1100000000, 1100000011, 1100000110, 1100001100, 11000000000, 11000000011, 11000000110, 11000001100, 11000011000, 101110100011, 110000000000, 110000000011, 110000000110 ]
[ "nonn", "base" ]
A091709
[ 0, 2, 27, 314, 3217, 31699, 308774, 2987107, 28824402, 277779084, 2674980022, 25752370493, 247919235555, 2387154761520 ]
[ "nonn", "base", "more" ]
A240395
[ 2, 12, 32, 62, 118, 206, 351, 568, 882, 1322, 1921, 2716, 3748, 5062, 6707, 8736, 11206, 14178, 17717, 21892, 26776, 32446, 38983, 46472, 55002, 64666, 75561, 87788, 101452, 116662, 133531, 152176, 172718, 195282, 219997, 246996, 276416, 308398 ]
[ "nonn" ]
A302315
[ 64, 86, 336, 1090, 3915, 18990, 76642, 360898, 1695748, 9408402, 50431855, 270054791, 1483688723, 8638547369, 49555516908, 278416318505, 1587868618303, 9269491523649, 53654294707162, 306415770314870, 1762671922872075 ]
[ "nonn" ]
A114141
[ 8, 6, 6, 6, 4, 4, 2, 2, 22, 6, 8, 2, 2, 20, 10, 4, 6, 8, 4, 4, 2, 4, 20, 10, 8, 6, 10, 2, 2, 8, 14, 12, 20, 10, 14, 20, 16, 6, 14, 4, 2, 8, 8, 12, 2, 24, 20, 10, 10, 4, 48, 40, 8, 34, 4, 4, 38, 56, 4, 28, 2, 14, 14, 22, 6, 8, 10, 4, 16, 4, 20, 2, 26, 56, 32 ]
[ "easy", "nonn" ]
A340350
[ 4, 9, 5, 3, 1, 6, 6, 1, 8, 6, 9, 2, 1, 2, 3, 3, 6, 4, 3, 0, 2, 9, 6, 5, 0, 4, 0, 4, 1, 1, 6, 1, 0, 4, 7, 5, 8, 8, 7, 1, 7, 8, 8, 4, 1, 7, 6, 7, 9, 7, 4, 5, 1, 8, 2, 4, 6, 4, 7, 4, 5, 9, 3, 4, 1, 1, 2, 3, 7, 7, 4, 0, 6, 1, 2, 4, 7, 1, 1, 3, 6, 1, 4, 3, 4, 5, 6, 5, 3, 5, 0, 3, 2, 6, 6, 3, 7, 5, 2, 8, 7, 7, 9, 2, 3, 1 ]
[ "nonn", "cons" ]
A358985
[ 10, 18, 180, 342, 3420, 6498, 64980, 123462, 1234620, 2345778, 23457780, 44569782, 445697820, 846825858, 8468258580, 16089691302, 160896913020, 305704134738, 3057041347380, 5808378560022, 58083785600220, 110359192640418, 1103591926404180, 2096824660167942 ]
[ "nonn", "base" ]
A145737
[ 1, 5, 7, 1, 11, 13, 1, 17, 19, 1, 23, 1, 1, 29, 31, 1, 1, 37, 1, 41, 43, 1, 47, 1, 1, 53, 1, 1, 59, 61, 1, 1, 67, 1, 71, 73, 1, 1, 79, 1, 83, 1, 1, 89, 1, 1, 1, 97, 1, 101, 103, 1, 107, 109, 1, 113, 1, 1, 1, 1, 1, 1, 127, 1, 131, 1, 1, 137, 139, 1, 1, 1, 1, 149, 151, 1, 1, 157, 1, 1, 163 ]
[ "nonn" ]
A275982
[ 4, 4, 8, 6, 7, 9, 1, 6, 6, 1, 1, 9, 0, 4, 3, 3, 3, 4, 7, 9, 4, 9, 5, 1, 4, 1, 0, 3, 6, 1, 5, 9, 1, 7, 7, 8, 7, 2, 7, 2, 0, 9, 0, 2, 3, 7, 2, 9, 3, 8, 8, 6, 1, 3, 0, 1, 0, 3, 6, 4, 8, 0, 4, 4, 7, 5, 1, 2, 7, 8, 5, 6, 0, 9, 1, 5, 8, 0, 5, 3, 6, 3, 7, 1, 6, 2, 0, 1, 8, 3, 9, 5, 9, 2, 0, 1, 8, 3, 1, 0, 8, 6, 8, 9, 1 ]
[ "nonn", "cons", "easy", "fini", "full" ]
A141482
[ 1, 2, 1, 11, 8, 269, 85, 16334, 5933, 4005785, 817280, 2758179839, 505375405, 6795928721858, 826573277157, 51247532773412136, 4982395765808506, 1.3028484409786895e+21, 90454037365096150000 ]
[ "nonn" ]
A352804
[ 2, 3, 4, 6, 7, 8, 11, 12, 16, 17, 18, 19, 21, 22, 23, 26, 29, 32, 36, 37, 39, 41, 47, 51, 56, 58, 61, 66, 72, 76, 82, 83, 84, 87, 88, 91, 92, 93, 94, 99, 102, 106, 111, 113, 116, 117, 118, 126, 131, 132, 139, 142, 144, 146, 149, 151, 159, 162, 171, 177, 179 ]
[ "nonn", "easy" ]
A098670
[ 5, 6, 7, 8, 22, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270 ]
[ "base", "easy", "nonn" ]
A030045
[ 1, 0, 0, 0, 1, 0, 0, 4, -4, 0, 28, -60, 38, 228, -798, 1036, 1528, -10064, 20266, -432, -116414, 342376, -312232, -1128944, 5218867, -8614080, -6284630, 71744552, -175745087, 80875672, 855493548, -3086044908, 3923353016, 7675455720, -48219069200 ]
[ "sign" ]
A206377
[ 85, 1369, 25945, 520097, 10690969, 222329489, 4648291369, 97418918945, 2043949959289, 42905465857457, 900849319640905, 18916269750894784, 397226844350640000, 8341623469422864000, 175172765404628220000 ]
[ "nonn" ]
A049350
[ 1, 11, 71, 356, 1866, 10476, 57186, 308621, 1682031, 9170291, 49879401, 271409736, 1477549796, 8042157456, 43769353716, 238229560201, 1296650911661, 7057377605971, 38411803629131, 209067989511516 ]
[ "easy", "nonn" ]
A036493
[ 1, 2, 4, 8, 12, 30, 60, 120, 240, 504, 840, 1680, 3960, 7560, 15120, 32760, 65520, 131040, 262080, 498960, 997920, 1965600, 3603600, 7207200, 14414400, 32432400, 64864800, 122522400, 245044800, 514594080, 1029188160, 2095133040, 4227022800, 8454045600 ]
[ "nonn" ]
A174502
[ 1, 6, 1, 60, 1, 486, 1, 3840, 1, 30246, 1, 238140, 1, 1874886, 1, 14760960, 1, 116212806, 1, 914941500, 1, 7203319206, 1, 56711612160, 1, 446489578086, 1, 3515205012540, 1, 27675150522246, 1, 217885999165440, 1, 1715412842801286, 1 ]
[ "cofr", "nonn", "easy" ]
A165084
[ 1, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 3, 2, 4, 2, 5, 1, 8, 6, 10, 5, 13, 7, 18, 7, 20, 8, 25, 12, 30, 13, 35, 15, 43, 16, 51, 20, 56, 25, 63, 29, 71, 33, 79, 38, 89, 42, 99, 48, 112, 53, 123, 57, 137, 63, 150, 71, 164, 79, 177, 87, 190, 95, 210, 101, 229, 109, 246, 119, 263, 132, 280 ]
[ "base", "nonn" ]
A081407
[ 1, 1, 1, 1, 5, 6, 7, 8, 45, 60, 77, 96, 585, 840, 1155, 1536, 9945, 15120, 21945, 30720, 208845, 332640, 504735, 737280, 5221125, 8648640, 13627845, 20643840, 151412625, 259459200, 422463195, 660602880, 4996616625, 8821612800 ]
[ "nonn" ]
A224803
[ 262144, 1048576, 4194304, 16777216, 78118912, 363741184, 1693669888, 8752522240, 45231155200, 233744896000, 1291061094400, 7131016668160, 39387290765824, 226173622168576, 1298756689537024, 7457849958117376 ]
[ "nonn" ]
A205928
[ 256, 3036, 32208, 319784, 3048544, 28259556, 256692580, 2295975140, 20290062176, 177581881904, 1541976728696, 13301510850956, 114108632607548, 974287139001676, 8285017042480392, 70205670884081960, 593085254039113200 ]
[ "nonn" ]
A384068
[ 1, 2, 2, 6, 14, 28, 49, 64, 68, 53, 35, 15, 7, 2, 1 ]
[ "nonn", "fini", "full" ]
A164539
[ 1, 13, 33, 157, 545, 2189, 8193, 31709, 120769, 463501, 1772385, 6789277, 25985249, 99495437, 380887617, 1458243293, 5582699905, 21373102861, 81825105057, 313261930141, 1199299595681, 4591432702349, 17577962574465, 67295954065373 ]
[ "nonn", "easy" ]
A000649
[ 1, 5, 30, 115, 425, 1396, 4440, 13470, 40000, 116140, 332827, 942435, 2647450, 7386925, 20511620, 56731383, 156451985, 430462915, 1182341890, 3243215495, 8887664047, 24338341165, 66616422775, 182276901760, 498657609720, 1364083988834 ]
[ "nonn", "easy" ]
A026176
[ 1, 2, 1, 3, 2, 1, 2, 1, 3, 3, 2, 1, 3, 2, 1, 2, 1, 3, 2, 1, 2, 1, 3, 3, 2, 1, 3, 3, 2, 1, 3, 2, 1, 2, 1, 3, 3, 2, 1, 3, 2, 1, 2, 1, 3, 2, 1, 2, 1, 3, 3, 2, 1, 3, 2, 1, 2, 1, 3, 2, 1, 2, 1, 3, 3, 2, 1, 3, 3, 2, 1, 3, 2, 1, 2, 1, 3, 3, 2, 1, 3, 3, 2, 1, 3, 2, 1, 2, 1, 3 ]
[ "dead" ]
A263965
[ 4, 20, 108, 465, 2265, 10920, 52752, 253176, 1221305, 5885873, 28368956, 136712788, 658952404, 3175970497, 15307435585, 73778034832, 355593913600, 1713880597360, 8260513454657, 39813787812289, 191893397639092, 924882430123988 ]
[ "nonn" ]
A155382
[ 1, 4, 10, 22, 40, 141, 496, 2636, 13567, 76878, 469481, 3693548, 33420872, 360497441, 4317343069, 60086409152 ]
[ "nonn" ]
A077216
[ 2, 5, 3, 19, 7, 13, 23, 47, 31, 89, 139, 113, 199, 293, 631, 317, 1069, 509, 2503, 1129, 1759, 2039, 887, 1951, 4027, 3967, 2477, 2971, 3271, 6917, 4831, 5591, 10799, 5119, 14107, 9973, 1327, 39461, 16381, 20809, 11743, 15683, 61169, 52391, 33247, 45439 ]
[ "nonn" ]
A042914
[ 31, 63, 283, 629, 912, 10661, 11573, 103245, 1560248, 1663493, 3223741, 4887234, 8110975, 21109184, 29220159, 79549502, 188319163, 456187828, 644506991, 1745201810, 2389708801, 4134910611, 6524619412 ]
[ "nonn", "frac", "easy" ]
A158504
[ 2, 1, 3, 4, 6, 5, 7, 9, 8, 10, 12, 11, 13, 14, 15, 16, 18, 17, 19, 20, 21, 22, 24, 23, 25, 26, 28, 27, 30, 29, 31, 32, 33, 35, 34, 36, 39, 37, 38, 40, 42, 45, 41, 43, 44, 46, 48, 47, 49, 50, 51, 52, 55, 53, 54, 57, 56, 58, 60, 59, 61, 62, 63, 64, 66, 70, 65, 67, 68, 69, 72, 71, 73, 74, 75 ]
[ "nonn", "less" ]
A238466
[ 1, 9, 171, 4869, 184851, 8772309, 499559571, 33190014069, 2520110222451, 215270320769109, 20431783142389972, 2133148392099721200, 242954208655633350000, 2.997711896912706e+22, 3.983272698956315e+24, 5.6709185705192106e+26 ]
[ "nonn" ]
A014322
[ 1, 2, 5, 14, 44, 154, 595, 2518, 11591, 57672, 308368, 1762500, 10716321, 69011130, 468856113, 3348695194, 25064539520, 196052415230, 1598543907843, 13556379105766, 119332020447219, 1088376385244908, 10268343703117892, 100063762955374560, 1005822726810785800 ]
[ "nonn" ]
A265333
[ 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 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, 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, 1 ]
[ "nonn" ]
A113427
[ 1, 6, 6, 6, 6, 6, 6, 6, 14, 6, 10, 6, 6, 6, 6, 10, 6, 10, 6, 6, 6, 6, 10, 14, 14, 6, 10, 6, 6, 6, 6, 10, 10, 6, 6, 6, 6, 10, 6, 6, 6, 10, 6, 6, 6, 6, 10, 6, 6, 6, 10, 10, 6, 6, 6, 14, 10, 10, 10, 14, 14, 10, 6, 6, 14, 6, 6, 6, 6, 10, 6, 10, 10, 6, 6, 6, 6, 6, 22, 10, 10, 6, 6, 6, 6 ]
[ "nonn" ]
A353393
[ 2, 3, 5, 7, 9, 11, 13, 17, 19, 23, 29, 31, 36, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 125, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 225, 227, 229, 233, 239, 241, 251 ]
[ "nonn" ]
A166740
[ 1, 47, 2162, 99452, 4574792, 210440432, 9680259872, 445291954112, 20483429889152, 942237774900992, 43342937645445630, 1993775131690499000, 91713656057762960000, 4.2188281786570957e+21, 1.9406609621822642e+23 ]
[ "nonn" ]
A285749
[ 28, 2042, 250592, 25450414, 3020617824, 341001631140, 40895629554933, 4828422171183992, 584834466962677400, 70587405158150790000, 8.620918536843418e+21, 1.0534383708767579e+24 ]
[ "nonn" ]
A083346
[ 1, 2, 3, 1, 5, 6, 7, 2, 3, 10, 11, 3, 13, 14, 15, 1, 17, 6, 19, 5, 21, 22, 23, 6, 5, 26, 1, 7, 29, 30, 31, 2, 33, 34, 35, 3, 37, 38, 39, 10, 41, 42, 43, 11, 15, 46, 47, 3, 7, 10, 51, 13, 53, 2, 55, 14, 57, 58, 59, 15, 61, 62, 21, 1, 65, 66, 67, 17, 69, 70, 71, 6, 73, 74, 15, 19, 77, 78 ]
[ "nonn", "mult" ]
A026146
[ 2, 2, 1, 3, 2, 1, 3, 2, 1, 2, 1, 3, 3, 2, 1, 3, 2, 1, 2, 1, 3, 3, 2, 1, 3, 2, 1, 2, 1, 3, 2, 1, 2, 1, 3, 3, 2, 1, 3, 3, 2, 1, 3, 2, 1, 2, 1, 3, 3, 2, 1, 3, 2, 1, 2, 1, 3, 2, 1, 2, 1, 3, 3, 2, 1, 3, 3, 2, 1, 3, 2, 1, 2, 1, 3, 3, 2, 1, 3, 2, 1, 2, 1, 3, 2, 1, 2, 1, 3, 3, 2, 1, 3, 2, 1, 2, 1, 3, 2 ]
[ "nonn" ]
A150088
[ 1, 2, 6, 19, 66, 243, 930, 3676, 14903, 61584, 258894, 1103447, 4758012, 20732432, 91124592, 403681327, 1800752730, 8081803201, 36474901389, 165435268106, 753751636931, 3448465225387, 15836193654948, 72977234653985, 337370456592555, 1564255503416559, 7272766119061584, 33899558103994630 ]
[ "nonn", "walk" ]
A326675
[ 1, 3, 5, 6, 7, 9, 12, 13, 17, 18, 19, 20, 21, 22, 23, 24, 25, 28, 29, 33, 48, 49, 65, 66, 67, 68, 69, 70, 71, 72, 73, 76, 77, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 92, 93, 96, 97, 112, 113, 129, 132, 133, 144, 145, 148, 149, 192, 193, 196, 197, 208, 209, 212 ]
[ "nonn", "base", "look" ]
A070699
[ 0, 1, 9, 11, 13, 10, 14, 12, 15, 2, 5, 3, 7, 4, 6, 8, 16, 0, 1, 9, 11, 13, 10, 14, 12, 15, 2, 5, 3, 7, 4, 6, 8, 16, 0, 1, 9, 11, 13, 10, 14, 12, 15, 2, 5, 3, 7, 4, 6, 8, 16, 0, 1, 9, 11, 13, 10, 14, 12, 15, 2, 5, 3, 7, 4, 6, 8, 16, 0, 1, 9, 11, 13, 10, 14, 12, 15, 2, 5, 3, 7, 4, 6, 8, 16, 0 ]
[ "nonn", "easy" ]
A144837
[ 11, 167761, 1.328785961685242e+26 ]
[ "nonn", "easy" ]
A324514
[ 1, 0, 3, 16, 115, 660, 5033, 39936, 362718, 3624920, 39916789, 478953648, 6227020787, 87177645996, 1307674338105, 20922779566080, 355687428095983, 6402373519409856, 121645100408831980, 2432902004460734000, 51090942171698410000, 1.1240007276958581e+21 ]
[ "nonn" ]
A136210
[ 1, 3, 4, 15, 19, 72, 91, 345, 436, 1653, 2089, 7920, 10009, 37947, 47956, 181815, 229771, 871128, 1100899, 4173825, 5274724, 19997997, 25272721, 95816160, 121088881, 459082803, 580171684, 2199597855, 2779769539, 10538906472 ]
[ "nonn", "frac", "easy" ]
A298854
[ 1, 1, 1, 2, 3, 2, 6, 11, 11, 6, 24, 50, 61, 50, 24, 120, 274, 379, 379, 274, 120, 720, 1764, 2668, 3023, 2668, 1764, 720, 5040, 13068, 21160, 26193, 26193, 21160, 13068, 5040, 40320, 109584, 187388, 248092, 270961, 248092, 187388, 109584, 40320, 362880, 1026576, 1836396, 2565080, 2995125, 2995125, 2565080, 1836396, 1026576, 362880 ]
[ "tabl", "nonn", "easy" ]
A361488
[ 1, 0, 0, 2, 2, 0, 6, 12, 6, 20, 60, 60, 90, 280, 420, 532, 1330, 2520, 3444, 6804, 14112, 21912, 37884, 77616, 133914, 223080, 432432, 793364, 1341912, 2471040, 4629196, 8076640, 14453010, 26960232, 48308832, 85794852, 157947816, 287413152, 512697900, 933072064 ]
[ "nonn" ]
A048937
[ 13078260, 107650322640, 113024597400, 119634515208, 134549287600, 135173486250, 138130447950, 146083269717, 150967233648, 216315684000, 221089445500, 315987404670, 463997983680, 472812953760, 10174695862032, 10178463985200, 10185571893960, 10476754939728, 10624657891320 ]
[ "nonn", "base" ]
A103645
[ 1, 25, 64, 49, 961, 100, 6889, 12769, 18496, 225625, 4489, 1844164, 2430481, 6325225, 51724864, 124609, 480881041, 435556900, 2017536889, 11562055729, 741146176, 122363538025, 71895305689, 610401563524, 2514384233761 ]
[ "easy", "nonn" ]
A096798
[ 1, 2, 1, 3, 0, 1, 5, 0, 0, 1, 7, -6, 0, 0, 1, 11, -13, 2, 0, 0, 1, 15, -34, 9, 0, 0, 0, 1, 22, -65, 33, 0, 0, 0, 0, 1, 30, -128, 102, -12, 0, 0, 0, 0, 1, 42, -225, 255, -62, 2, 0, 0, 0, 0, 1, 56, -394, 591, -232, 15, 0, 0, 0, 0, 0, 1, 77, -649, 1265, -721, 100, 0, 0, 0, 0, 0, 0, 1, 101, -1064, 2559, -1972, 455, -18, 0, 0, 0, 0, 0, 0, 1 ]
[ "sign", "tabl" ]
A286755
[ -1, -1, 0, -1, 1, 0, -1, 1, 0, 0, 0, -1, 1, 1, 0, 0, 0, 0, -1, 1, 1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 1, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 1, -1, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0 ]
[ "sign" ]
A031326
[ 1, 6, 9, 16, 26, 31, 40, 42, 47, 52, 55, 56, 72, 74, 78, 82, 85, 88, 89, 91, 102, 110, 137, 147, 151, 158, 169, 175, 178, 184, 186, 191, 207, 214, 215, 221, 224, 229, 230, 237, 239, 264, 281, 282, 290, 300, 304, 305, 315, 319, 336 ]
[ "nonn" ]
A223384
[ 41, 2358, 151962, 10139432, 684434305, 46377822217, 3146553746804, 213569806424579, 14497860201301484, 984209549790487300, 66815578146284700000, 4.5359685561796295e+21, 3.079378348908102e+23 ]
[ "nonn" ]
A369623
[ 1, 3, 15, 92, 624, 4509, 34033, 265164, 2116560, 17219068, 142252608, 1190173956, 10064038469, 85873044573, 738446318232, 6393218956733, 55680130965252, 487488352916496, 4288083926110045, 37878037865662424, 335859658273133400, 2988274511990407700 ]
[ "nonn" ]
A301956
[ 0, 233, 5820, 439078, 21418808, 1427656268, 86143630040, 5308792667591, 324469928188515, 19912146679826810, 1220249427475855600, 74810226305531950000, 4.585754748793489e+21, 2.8111499570630137e+23 ]
[ "nonn" ]
A096963
[ 1, 2048, 177148, 4194304, 48828126, 362799104, 1977326744, 8589934592, 31381236757, 100000002048, 285311670612, 743012564992, 1792160394038, 4049565171712, 8649804864648, 17592186044416, 34271896307634 ]
[ "nonn", "mult" ]
A023155
[ 1, 2, 2, 2, 2, 4, 4, 2, 4, 4, 4, 4, 4, 8, 4, 2, 2, 8, 6, 4, 8, 8, 4, 4, 4, 8, 6, 8, 4, 8, 10, 2, 8, 4, 8, 8, 6, 12, 8, 4, 4, 16, 10, 8, 8, 8, 4, 4, 10, 8, 4, 8, 4, 12, 8, 8, 12, 8, 4, 8, 10, 20, 16, 2, 8, 16, 10, 4, 8, 16, 10, 8, 6, 12, 8, 12, 16, 16, 10, 4, 8, 8, 6, 16, 4, 20, 8, 8, 4, 16, 16, 8, 20, 8, 12 ]
[ "nonn" ]
A101590
[ 0, 1, 4, 5, 6, 10, 16, 28, 41, 46, 95, 107, 165, 209, 330, 1021, 3592, 4425, 5703, 13935, 16485, 85909 ]
[ "nonn", "more", "hard" ]
A095427
[ 111111111111, 1100, 110, 30, 22, 20, 15, 14, 13, 12, 11, 10 ]
[ "nonn" ]
A132438
[ 1, 7, 22, 47, 82, 124, 183, 250, 326, 414, 513, 621, 749, 874, 1018, 1176, 1338, 1515, 1706, 1899, 2110, 2331, 2568, 2806, 3066, 3324, 3612, 3903, 4201, 4513, 4841, 5173, 5523, 5882, 6248, 6626, 7026, 7433, 7842, 8271, 8715 ]
[ "easy", "nonn" ]
A353975
[ 1, 2, 3, 2, 5, 36, 7, 2, 3, 100, 11, 36, 13, 196, 15, 2, 17, 648, 19, 100, 21, 484, 23, 36, 5, 676, 81, 196, 29, 54000, 31, 2, 33, 1156, 35, 648, 37, 1444, 39, 100, 41, 148176, 43, 484, 675, 2116, 47, 36, 7, 5000, 51, 676, 53, 944784, 55, 196, 57, 3364, 59, 54000, 61, 3844 ]
[ "nonn" ]
A060714
[ 1, 2, 3, 5, 6, 9, 11, 17, 19, 30, 33, 50, 55, 74, 80, 99, 108, 138, 155, 188, 207, 257, 276, 331, 361, 441, 471, 579, 609, 764, 797, 985, 1018, 1225, 1275, 1551, 1601, 1962, 2017, 2458, 2532, 2973, 3053, 3632, 3731, 4340, 4448, 5057, 5195, 5992 ]
[ "nonn" ]
A336997
[ 1, 4, 10, 56, 136, 1952, 5104, 94208, 605056, 7741952, 39917824, 1458295808, 6227024896, 175463616512, 2353813878784, 48886264659968, 355687428161536, 17362063156969472, 121645100409094140, 6001501553433510000, 85800344155030550000, 2.2480302899493884e+21 ]
[ "nonn" ]
A356657
[ 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 36, 40, 42, 44, 48, 50, 52, 54, 56, 60, 64, 66, 68, 70, 72, 76, 78, 80, 84, 88, 90, 96, 98, 100, 102, 104, 108, 110, 112, 114, 120, 126, 128, 130, 132, 136, 138, 140, 144, 150, 152, 154, 156, 160, 162, 168, 170, 174, 176 ]
[ "nonn" ]
A259416
[ 0, 0, 0, 1, 2, 3, 12, 6, 26, 31, 58, 24, 480, 51, 304, 851, 1537, 251, 6028, 2466, 13789, 12657, 8870, 3121, 222384, 100805, 49405, 290641, 536006, 42613, 2666244, 446497, 3716882, 3111635, 1694821, 10652139, 76062672, 16224451, 27896232, 51359105, 282500593 ]
[ "nonn" ]
A141975
[ 53, 109, 137, 193, 277, 389, 557, 613, 641, 809, 977, 1033, 1061, 1117, 1201, 1229, 1453, 1481, 1621, 1733, 1789, 1873, 1901, 2069, 2153, 2237, 2293, 2377, 2657, 2713, 2741, 2797, 2909, 3049, 3217, 3301, 3329, 3413, 3469, 3581, 3637, 3833, 3889, 3917, 4001 ]
[ "nonn", "easy" ]
A006748
[ 0, 0, 1, 0, 2, 2, 7, 5, 26, 22, 91, 79, 326, 301, 1186, 1117, 4352, 4212, 16119, 15849, 60174, 60089, 226146, 228426, 854803, 872404, 3247207, 3342579, 12389106, 12850662, 47448984, 49544820, 182338754, 191529007, 702807040, 742163178, 2716205709, 2882119756 ]
[ "nonn" ]
A164813
[ 1000, -1, 1000000, 2000, 3000, 5000, 4000, 14000, 21000, 16000, 17000, 25000, 24000, 35000, 34000, 44000, 54000 ]
[ "word", "sign" ]
A020183
[ 6, 9, 18, 21, 27, 54, 63, 91, 153, 189, 357, 369, 553, 697, 801, 1027, 1266, 1387, 1513, 1729, 1869, 2701, 2821, 3213, 3649, 4033, 4431, 6273, 6533, 6541, 6601, 6643, 7189, 7957, 8911, 9773, 9937, 10649, 10761, 13333, 13617, 13833, 14981, 15457, 15841 ]
[ "nonn" ]
A124450
[ 5, 47, 491, 4919, 49877, 499943, 4999913, 49999757, 499999931, 4999999937, 49999999811, 499999999769, 4999999998431, 49999999999619, 499999999999769, 4999999999998557, 49999999999998890, 499999999999999700, 5000000000000000000, 50000000000000000000 ]
[ "nonn" ]
A315044
[ 1, 5, 9, 15, 20, 23, 29, 33, 38, 44, 50, 51, 58, 61, 67, 73, 79, 80, 87, 89, 96, 102, 108, 108, 117, 117, 125, 131, 137, 136, 146, 146, 154, 160, 166, 164, 175, 174, 184, 189, 195, 192, 204, 202, 213, 219, 224, 220, 233, 230 ]
[ "nonn" ]