Datasets:
N8Programs
/
oeis-enhanced

Dataset card Data Studio Files
xet
Community
1
id
stringlengths
7
11
seq
listlengths
1
347
keywords
listlengths
1
8
⌀
A106667
[ -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 0, -1, -1, 1, 0, -1, 1, 0, 0, -1, -1, 0, 1, 0, 1, -1, -1, -1, -1, 1, -1, 1, 0, -1, 0, -1, 0, 1, -1, 1, 0, 1, -1, -1, 0, 1, 0, -1, 1, 0, -1, -1, -1, 1, 0, 0, 1, 0, -1, -1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0, 0, -1, 0, -1, 0, -1, -1, 1, 0, 1, 0, 0, -1, -1, 0, 1, 0, -1, -1, -1, -1 ]
[ "easy", "sign", "less" ]
A211748
[ 36, 154, 572, 1960, 6496, 21240, 68636, 224172, 727080, 2404096, 7887572, 26445052, 87756784, 297663312, 996763100, 3410561676, 11496724776, 39585824560, 134072951828, 463716713452, 1575831918928, 5467770323712, 18625362960764 ]
[ "nonn" ]
A202206
[ 1, 2, 9, 33, 126, 477, 1809, 6858, 26001, 98577, 373734, 1416933, 5372001, 20366802, 77216409, 292749633, 1109898126, 4207943277, 15953524209, 60484402458, 229313780001, 869394547377, 3296124982134 ]
[ "nonn", "easy" ]
A253090
[ 1, 9, 8, 32, 16, 88, 16, 104, 16, 136, 72, 312, 56, 360, 76, 468, 76, 444, 156, 708, 152, 928, 164, 996, 156, 924, 292, 1316, 256, 1520, 348, 1676, 304, 1768, 400, 1928, 408, 2040, 524, 2628, 516, 2684, 688, 3272, 744, 3872, 684, 3692, 756, 3724, 840, 4080 ]
[ "nonn" ]
A261449
[ 83, 109, 149, 181, 199, 269, 281, 283, 349, 383, 401, 419, 439, 443, 461, 463, 467, 479, 491, 509, 569, 587, 599, 601, 607, 619, 641, 643, 647, 659, 661, 691, 709, 769, 787, 811, 821, 823, 827, 853, 857, 877, 907, 919, 929, 941, 947, 967, 991, 997, 1019, 1039 ]
[ "nonn", "less", "easy", "base" ]
A124224
[ 0, 1, 1, 2, 1, 3, 1, 3, 2, 4, 1, 5, 1, 4, 5, 2, 3, 6, 1, 3, 5, 7, 1, 5, 7, 2, 4, 8, 1, 7, 3, 9, 1, 6, 4, 3, 9, 2, 8, 7, 5, 10, 1, 5, 7, 11, 1, 7, 9, 10, 8, 11, 2, 5, 3, 4, 6, 12, 1, 5, 3, 11, 9, 13, 1, 8, 4, 13, 2, 11, 7, 14, 1, 11, 13, 7, 9, 3, 5, 15, 1, 9, 6, 13, 7, 3, 5, 15, 2, 12, 14, 10, 4, 11, 8, 16 ]
[ "nonn", "tabf" ]
A118727
[ 2, 5, 17, 37, 197, 503, 9649, 9901, 111431, 1532093, 1556117, 71354639, 392849685203, 67564865715709, 67929521152309, 2551756396706233, 345246028268898550000, 7.374442585009153e+31, 4.418089000986948e+39 ]
[ "nonn" ]
A182970
[ 1, 1, 3, 12, 61, 365, 2477, 18566, 150940, 1314016, 12135518, 118077620, 1204031386, 12814054072, 141872524160, 1629774749836, 19383459694769, 238243063976805, 3021510752477432, 39488027180606980, 531178015089101600, 7346877516617130000 ]
[ "nonn" ]
A114353
[ 59, 193, 881, 3593, 5113, 12109, 64849, 85193, 123059, 229409, 384143, 415273, 726809, 1042193, 1229369, 1296409, 1437713, 2953201, 3195809, 3720169, 6193249, 6588443, 7212209, 8575409, 10100393, 10370923, 16842863, 17999609, 19208141 ]
[ "easy", "nonn" ]
A273200
[ 2, 3, 4, 5, 7, 8, 9, 11, 13, 16, 17, 19, 21, 23, 25, 27, 29, 31, 32, 33, 37, 39, 41, 43, 47, 49, 53, 59, 61, 64, 65, 67, 71, 73, 79, 81, 83, 85, 89, 95, 97, 101, 103, 107, 109, 113, 115, 121, 125, 127, 128, 131, 133, 137, 139, 145, 149, 151, 155, 157, 161, 163, 167, 169 ]
[ "nonn" ]
A326415
[ 1, -3, -3, 4, -3, 9, -3, -4, 4, 9, -3, -12, -3, 9, 9, 4, -3, -12, -3, -12, 9, 9, -3, 12, 4, 9, -4, -12, -3, -27, -3, -4, 9, 9, 9, 16, -3, 9, 9, 12, -3, -27, -3, -12, -12, 9, -3, -12, 4, -12, 9, -12, -3, 12, 9, 12, 9, 9, -3, 36, -3, 9, -12, 4, 9, -27, -3, -12, 9, -27, -3, -16, -3, 9, -12 ]
[ "sign", "mult", "easy" ]
A328327
[ 5984, 7424, 21735, 21944, 26144, 27404, 39375, 43064, 49664, 56924, 58695, 61424, 69615, 70784, 76544, 77175, 79695, 81080, 81675, 82004, 84524, 84644, 89775, 91664, 98175, 103455, 104895, 106784, 109395, 111824, 116655, 116864, 120015, 121904, 122264, 126224 ]
[ "nonn" ]
A321622
[ 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 4, 2, 1, 1, 6, 10, 7, 3, 1, 1, 18, 31, 19, 10, 4, 1, 1, 57, 97, 61, 29, 13, 5, 1, 1, 186, 316, 196, 96, 40, 16, 6, 1, 1, 622, 1054, 652, 316, 136, 52, 19, 7, 1, 1, 2120, 3586, 2210, 1072, 458, 181, 65, 22, 8, 1, 1 ]
[ "nonn", "tabl" ]
A362667
[ 2, 6, 8, 10, 24, 30, 42, 54, 56, 66, 120, 168, 216, 264, 270, 312, 330, 384, 408, 456, 480, 510, 552, 840, 1080, 1320, 1560, 1920, 2040, 2280, 2376, 2760, 3000, 3192, 3480, 3720, 3864, 4440, 4920, 5160, 5208, 5640, 7560, 9240, 10920, 11880, 13440, 14280, 15960 ]
[ "nonn" ]
A305612
[ 0, 3, 9, 22, 51, 114, 250, 540, 1155, 2450, 5166, 10836, 22638, 47124, 97812, 202488, 418275, 862290, 1774630, 3646500, 7482618, 15334748, 31391724, 64194312, 131151566, 267711444, 546031500, 1112864200, 2266587900, 4613409000, 9384609960, 19079454960 ]
[ "nonn" ]
A128560
[ 1, 1, -24, 20, -112, 500, -4312, 780, -189728, 103428, -643720, 586092, -16074608, 63493300, -3882017832, 17704862500, -112528101312, 349139888500, -832452204024, 11690656900, -3884776952112, 1364209732100, -306249916391496, 279662995080500, -1531060188069792 ]
[ "sign", "frac" ]
A283120
[ 1, 15, 128, 815, 4289, 19663, 81057, 306799, 1081986, 3594142, 11338690, 34193246, 99080387, 277046893, 750192227, 1973050940, 5053026949, 12628736331, 30859262181, 73849589786, 173333118663, 399528823032, 905418038792, 2019454523623, 4437187104779 ]
[ "nonn" ]
A090486
[ 203, 152, 130, 176, 153, 183, 163, 184, 249, 220, 277, 288, 257, 267, 312, 358, 323, 364, 366, 335, 370, 371, 404, 474, 471, 434, 432, 401, 401, 552, 545, 573, 533, 626, 583, 608, 632, 623, 646, 668, 628, 712, 669, 660, 623, 729, 848, 833, 786, 773, 791 ]
[ "nonn" ]
A375347
[ 1, 1, 1, 2, 2, 4, 4, 4, 4, 6, 5, 7, 5, 8, 9, 8, 10, 10, 8, 11, 10, 13, 17, 13, 13, 14, 13, 15, 17, 18, 17, 16, 17, 22, 16, 17, 16, 19, 18, 21, 20, 22, 20, 22, 22, 32, 36, 25, 25, 28, 30, 23, 34, 28, 28, 25, 24, 36, 38, 33, 27, 31, 29, 32, 31, 39, 35, 36, 44, 35, 42, 31, 39, 36, 38 ]
[ "nonn" ]
A209719
[ 5, 115, 5822, 411940, 29021568, 1712295424, 100332786038 ]
[ "nonn" ]
A326071
[ 1, 4, 9, 12, 18, 24, 25, 27, 45, 49, 50, 60, 63, 75, 81, 84, 90, 98, 99, 117, 120, 121, 125, 126, 132, 140, 147, 150, 153, 156, 168, 169, 171, 175, 180, 198, 204, 207, 228, 234, 240, 242, 243, 245, 261, 264, 270, 275, 276, 279, 280, 289, 294, 297, 306, 312, 325, 333, 338, 342, 343, 348, 350, 351, 361, 363, 369, 372 ]
[ "nonn" ]
A276686
[ 3141, 582, 9999, 2796, 6549, 2019, 2916, 8352, 5485, 5485, 5485, 5485, 5485, 5485, 5485, 1177, 1177, 5485, 1177, 3718, 5485, 5485, 1766, 1766, 5485, 4608, 4608, 4608, 4608, 4608, 5485, 5485, 504, 504, 504, 504, 504, 504, 504, 2103, 504, 504, 9479, 504, 504 ]
[ "nonn", "base" ]
A315582
[ 1, 6, 12, 12, 18, 30, 30, 42, 48, 42, 54, 66, 60, 78, 84, 66, 90, 102, 90, 114, 120, 90, 126, 138, 120, 150, 156, 114, 162, 174, 150, 186, 192, 138, 198, 210, 180, 222, 228, 162, 234, 246, 210, 258, 264, 186, 270, 282, 240, 294 ]
[ "nonn" ]
A076334
[ 1, 1, -1, 3, 1, 1, -5, 1, 7, 1, -5, 7, 1, 1, -13, 15, -11, 13, -9, 11, 1, 1, -17, -1, 21, -23, 11, 15, 1, 1, -29, 31, 1, 1, -29, 31, 1, 1, -29, 31, 1, 1, -21, -7, 31, 1, -41, 1, 3, 41, -25, 27, -47, 49, -41, 43, 1, 1, -29, 31, 1, -41, -19, 63, 1, 1, -33, 35, 1, 1, -65, 67, 1, -59, 23, 39 ]
[ "sign" ]
A385039
[ 1, 11384, 45377, 14430, 34993, 45016, 5824, 50867, 50095, 24333, 28406, 34264, 26607, 45385, 15798, 3296, 43579, 25722, 300, 9388, 22811, 33769, 48212, 21090, 5103, 33826, 4834, 40952, 1505, 2943, 36341, 9899, 3942, 47795, 2908, 30356, 48964, 43432, 585, 4998 ]
[ "nonn", "easy" ]
A259151
[ 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 8, 3, 8, 4, 4, 3, 2, 9, 0, 4, 4, 2, 7, 8, 8, 1, 4, 0, 9, 9, 8, 2, 7, 0, 9, 5, 9, 4, 8, 6, 9, 4, 5, 6, 7, 3, 8, 5, 2, 1, 9, 8, 5, 4, 3, 8, 7, 2, 7, 2, 5, 5, 8, 3, 6, 9, 9, 1, 5, 5, 2, 6, 6, 6, 2, 6, 9, 2, 7, 0, 0, 5, 5, 6, 6, 7, 5, 0, 6, 5, 2, 1, 7, 6, 4, 9, 3, 2, 7, 9, 8 ]
[ "nonn", "cons", "easy" ]
A148720
[ 1, 1, 3, 7, 24, 76, 277, 1012, 3900, 15298, 61744, 252844, 1055394, 4456946, 19066780, 82383168, 359267491, 1579448039, 6994656090, 31175776248, 139782570970, 630064954347, 2853843406073, 12983914841969, 59312608158319, 271967699137691, 1251392188397235, 5776438662674473, 26743675660270308 ]
[ "nonn", "walk" ]
A080613
[ 1, 2, 3, 4, 25, 6, 49, 8, 27, 20, 1331, 12, 2197, 28, 45, 16, 83521, 36, 130321, 40, 189, 88, 279841, 24, 625, 104, 81, 56, 707281, 60, 923521, 32, 891, 272, 4375, 72, 69343957, 304, 1053, 80, 115856201, 168, 147008443, 176, 405, 368, 229345007, 48 ]
[ "nonn" ]
A118801
[ 1, 1, -1, 1, -3, 1, 1, -7, 5, -1, 1, -15, 17, -7, 1, 1, -31, 49, -31, 9, -1, 1, -63, 129, -111, 49, -11, 1, 1, -127, 321, -351, 209, -71, 13, -1, 1, -255, 769, -1023, 769, -351, 97, -15, 1, 1, -511, 1793, -2815, 2561, -1471, 545, -127, 17, -1, 1, -1023, 4097, -7423, 7937, -5503, 2561, -799, 161, -19, 1 ]
[ "sign", "tabl" ]
A174558
[ 2304, 419933, 28432288, 1134127305, 32580145116, 749160010737, 14677177838054, 254977173389319, 4035559337688370, 59315924213143600, 821112680030028700, 10819171744710664000, 136800806311499630000, 1.6705971192103366e+21, 1.9804685547188546e+22, 2.288650233583447e+23, 2.586924156960004e+24, 2.868171546005458e+25, 3.1265676142200884e+26, 3.3576514428221956e+27 ]
[ "nonn" ]
A024742
[ 1, 2, 4, 11, 28, 68, 169, 470, 1276, 3395, 9016, 25736, 71785, 197084, 543136, 1562987, 4441888, 12490268, 35118241, 102094436, 293497252, 836212259, 2384733976, 6972232316, 20220310225, 58240787582, 167689305760, 493029967907, 1438787149228 ]
[ "nonn" ]
A291276
[ 2, 7, 13, 37, 61, 73, 109, 127, 157, 163, 193, 211, 223, 229, 271, 283, 307, 313, 331, 337, 349, 367, 379, 409, 421, 433, 463, 487, 499, 523, 577, 607, 613, 619, 631, 661, 673, 691, 727, 733, 751, 757, 769, 787, 823, 829, 853, 883, 907, 919, 1021, 1039 ]
[ "nonn" ]
A218463
[ 1, 5, 95, 10297, 11546911 ]
[ "nonn", "more" ]
A349808
[ 1, 50, 190, 400, 680, 1030, 1450, 1940, 2500, 3130, 3830, 4600, 5440, 6350, 7330, 8380, 9500, 10690, 11950, 13280, 14680, 16150, 17690, 19300, 20980, 22730, 24550, 26440, 28400, 30430, 32530, 34700, 36940, 39250, 41630, 44080, 46600, 49190, 51850, 54580, 57380, 60250, 63190, 66200, 69280, 72430, 75650, 78940, 82300, 85730, 89230, 92800 ]
[ "nonn" ]
A331339
[ 1, 1, 5, 32, 292, 3294, 44918, 714468, 13002456, 266275200, 6060498672, 151750887936, 4145522908272, 122690391196944, 3910569680464848, 133549150323123740, 4864927063250291000, 188297220693251420000, 7.71680077660256e+21 ]
[ "nonn" ]
A108295
[ 7, 13, 19, 37, 31, 41, 43, 61, 67, 61, 71, 73, 83, 97 ]
[ "nonn", "more" ]
A029745
[ 1, 2, 8, 5, 16, 10, 32, 20, 64, 40, 128, 80, 256, 160, 512, 320, 1024, 640, 2048, 1280, 4096, 2560, 8192, 5120, 16384, 10240, 32768, 20480, 65536, 40960, 131072, 81920, 262144, 163840, 524288, 327680, 1048576, 655360, 2097152, 1310720, 4194304 ]
[ "nonn", "easy" ]
A013677
[ 1, 0, 0, 0, 0, 0, 1, 9, 0, 8, 2, 1, 2, 7, 1, 6, 5, 5, 3, 9, 3, 8, 9, 2, 5, 6, 5, 6, 9, 5, 7, 7, 9, 5, 1, 0, 1, 3, 5, 3, 2, 5, 8, 5, 7, 1, 1, 4, 4, 8, 3, 8, 6, 3, 0, 2, 3, 5, 9, 3, 3, 0, 4, 6, 7, 6, 1, 8, 2, 3, 9, 4, 9, 7, 0, 5, 3, 4, 1, 3, 0, 9, 3, 1, 2, 6, 6, 4, 2, 2, 7, 1, 1, 8, 0, 7, 6, 3, 0 ]
[ "cons", "nonn" ]
A220342
[ 1, 1, 1, 2, 5, 2, 4, 24, 24, 4, 7, 89, 355, 89, 7, 12, 389, 3281, 3281, 389, 12, 21, 1570, 28993, 60003, 28993, 1570, 21, 37, 6413, 242224, 1022813, 1022813, 242224, 6413, 37, 65, 25744, 1973258, 16673578 ]
[ "nonn", "tabl" ]
A315789
[ 1, 6, 6, 12, 18, 18, 24, 42, 36, 36, 48, 48, 48, 78, 60, 72, 60, 72, 84, 102, 96, 96, 108, 78, 114, 138, 120, 120, 132, 132, 114, 180, 144, 156, 144, 150, 174, 180, 186, 180, 192, 156, 198, 240, 186, 210, 216, 210, 198, 276 ]
[ "nonn" ]
A336534
[ 1, 1, 2, 1, 2, 2, 1, 2, 6, 2, 1, 2, 10, 22, 2, 1, 2, 14, 66, 90, 2, 1, 2, 18, 134, 498, 394, 2, 1, 2, 22, 226, 1482, 4066, 1806, 2, 1, 2, 26, 342, 3298, 17818, 34970, 8558, 2, 1, 2, 30, 482, 6202, 52450, 226214, 312066, 41586, 2, 1, 2, 34, 646, 10450, 122762, 881970, 2984206, 2862562, 206098, 2 ]
[ "nonn", "tabl" ]
A153862
[ 1, 1, 3, 5, 21, 55, 233, 377, 987, 317811, 5702887, 39088169, 701408733, 12586269025, 591286729879, 72723460248141, 3416454622906707, 4.356677625885484e+22 ]
[ "nonn" ]
A302776
[ 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 3, 1, 2, 3, 1, 1, 2, 1, 4, 3, 2, 1, 6, 1, 2, 3, 4, 1, 6, 1, 2, 3, 2, 5, 4, 1, 2, 3, 8, 1, 6, 1, 4, 5, 2, 1, 3, 1, 2, 3, 4, 1, 6, 5, 8, 3, 2, 1, 12, 1, 2, 7, 4, 5, 6, 1, 4, 3, 10, 1, 8, 1, 2, 3, 4, 7, 6, 1, 5, 1, 2, 1, 12, 5, 2, 3, 8, 1, 10, 7, 4, 3, 2, 5, 6, 1, 2, 9, 4, 1, 6, 1, 8, 15 ]
[ "nonn" ]
A097647
[ 190, 427, 429, 724, 924, 4147, 4697, 6276, 6726, 7414, 7964, 9079, 9709, 10040, 10940, 14450, 15860, 19190, 20493, 20553, 28092, 28215, 29082, 35502, 39402, 41847, 42777, 44629, 46899, 49929, 51282, 51845, 53075, 54815, 57035, 57677 ]
[ "base", "nonn" ]
A033108
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 14, 15, 17, 18, 20, 21, 24, 25, 27, 29, 31, 32, 35, 36, 39, 41, 43, 44, 48, 49, 51, 53, 57, 58, 61, 62, 65, 68, 70, 71, 76, 78, 82, 85, 89, 91, 96, 99, 105, 108, 111, 113, 120 ]
[ "nonn", "base" ]
A175912
[ 1, 2, 9, 57, 411, 3181, 25803, 216486, 1863139, 16356925, 145914573, 1318844414, 12051758083, 111159508991, 1033505202643, 9675905948106, 91140492185703, 863107104436546, 8212873185281571, 78484928498979440, 752928813642151000 ]
[ "nonn" ]
A051569
[ 1, 2, 4, 31, 304, 2, 9, 755, 39302 ]
[ "nonn", "more" ]
A128733
[ 1, 3, 9, 1, 28, 8, 90, 46, 1, 297, 231, 15, 1001, 1079, 138, 1, 3432, 4823, 1006, 24, 11934, 20944, 6388, 320, 1, 41990, 89148, 37026, 3170, 35, 149226, 374034, 201210, 26130, 635, 1, 534888, 1552661, 1042492, 189959, 8170, 48, 1931540, 6393310 ]
[ "nonn", "tabf" ]
A343679
[ 150851, 452051, 1325843, 1441091, 4974971, 5016191, 15139199, 19020191, 44695211, 101276579, 119378351, 128665319, 152814531, 187155383, 203789951, 223782263, 307367171, 387833531, 392534231, 470579831, 505473263, 546748931, 626717471, 639969891, 885510239, 974471243, 1147357559 ]
[ "nonn" ]
A323280
[ 1, 2, 19, 781, 68553, 10100761, 2236373953, 693667946945, 286962262702657, 152652510206521920, 101513694573289780000, 8.251105125997607e+22, 8.048031335672196e+25, 9.277316732904596e+28, 1.2476822625805133e+32 ]
[ "nonn" ]
A208274
[ 1, 2, 0, 0, 0, -4, 0, 0, 0, 10, 0, 0, 0, -20, 0, 0, 0, 36, 0, 0, 0, -64, 0, 0, 0, 110, 0, 0, 0, -180, 0, 0, 0, 288, 0, 0, 0, -452, 0, 0, 0, 692, 0, 0, 0, -1044, 0, 0, 0, 1554, 0, 0, 0, -2276, 0, 0, 0, 3296, 0, 0, 0, -4724, 0, 0, 0, 6696, 0, 0, 0, -9408, 0, 0 ]
[ "sign" ]
A350504
[ 1, 1, 1, 1, 2, 2, 3, 5, 8, 13, 22, 38, 68, 118, 211, 380, 692, 1262, 2316, 4277, 7930, 14745, 27517, 51541, 96792, 182182, 343711, 650095, 1231932, 2338706, 4447510, 8472697, 16164914, 30884150, 59086618, 113189168, 217091832, 416839177, 801247614, 1541726967, 2969432270 ]
[ "nonn" ]
A375693
[ 1, 0, 5, 1622, 62924817, 623302086965044, 2.6701695114267745e+24, 7.363615066099524e+36, 1.8165723898797466e+52, 5.313068870455469e+70 ]
[ "nonn" ]
A127625
[ 1, 1, 2, 1, 4, 1, 1, 6, 3, 3, 1, 8, 6, 12, 1, 1, 10, 10, 30, 5, 2, 1, 12, 15, 60, 15, 12, 1, 1, 14, 21, 105, 35, 42, 7, 4, 1, 16, 28, 168, 70, 112, 28, 32, 1, 1, 18, 36, 252, 126, 252, 84, 144, 9, 2, 1, 20, 45, 360, 210, 504, 210, 480, 45, 20, 1 ]
[ "nonn", "tabl" ]
A071010
[ 1, 3, 2, 3, 7, 6, 6, 5, 8, 9, 6, 15, 10, 14, 18, 8, 12, 12, 15, 14, 24, 11, 21, 18, 12, 31, 18, 30, 18, 30, 20, 15, 42, 24, 26, 36, 17, 24, 36, 18, 31, 35, 24, 42, 20, 21, 56, 33, 30, 45, 28, 42, 32, 36, 30, 63, 39, 54, 26, 48, 27, 70, 54, 38, 62, 60, 36, 45, 36, 90, 42, 56, 78 ]
[ "easy", "nonn" ]
A326047
[ 1, 1, 2, 1, 1, 1, 6, 1, 1, 2, 10, 1, 1, 1, 3, 1, 1, 1, 18, 2, 1, 1, 22, 1, 1, 2, 1, 3, 1, 12, 30, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 4, 42, 1, 3, 1, 46, 1, 1, 1, 3, 2, 1, 4, 1, 1, 1, 2, 58, 6, 1, 1, 2, 1, 1, 4, 66, 2, 1, 4, 70, 1, 1, 2, 2, 3, 1, 4, 78, 2, 1, 2, 82, 2, 1, 1, 3, 1, 1, 6, 7, 1, 1, 1, 1, 1, 1, 1, 14, 1, 1, 12, 102, 2, 9 ]
[ "nonn" ]
A352121
[ 1, 1, -3, 13, -87, 841, -10683, 167413, -3113967, 66991441, -1635760563, 44683635613, -1350018280647, 44694643670041, -1608962582321643, 62572776778020616, -2614314267900284000, 116781203402752050000, -5.553985490569476e+21 ]
[ "sign" ]
A110688
[ -1, 1, -4, 19, -73, 262, -931, 3319, -11884, 42679, -153505, 552430, -1988311, 7156123, -25754188, 92683315, -333539317, 1200299014, -4319477491, 15544370887, -55939087228, 201306503071, -724436520553, 2607011250526, -9381785144287 ]
[ "sign", "easy" ]
A222082
[ 1, 2, 5, 10, 20, 40, 67, 126, 203, 354, 571, 908, 1486, 2250, 3586, 5322, 8186, 12234, 17976, 26970, 38435, 57024, 80805, 116376, 165914, 232352, 332196, 456154, 645469, 885826, 1225998, 1692686, 2290512, 3168986, 4242896, 5805526, 7782803, 10459912, 14110205 ]
[ "nonn" ]
A101255
[ 1, 2, 4, 9, 11, 15, 18, 23, 82, 34, 76, 133, 118, 292, 342, 180, 71, 621, 278, 145, 528, 783, 280, 397, 1606, 1129, 1154, 1521, 928, 4510, 5597, 1607, 1379, 2039, 2283, 682, 1935, 6053, 10356, 4598, 4481, 9561, 4287, 14315, 6328, 15299, 3836, 9140, 6708 ]
[ "nonn" ]
A339154
[ 0, 1, 1, 1, 3, 6, 14, 30, 70, 165, 397, 961, 2368, 5875, 14722, 37134, 94312, 240823, 618147, 1593606, 4125218, 10717064, 27934867, 73032798, 191464677, 503218042, 1325678981, 3499913710, 9258627528, 24538328431, 65147600774, 173243773337, 461400769439 ]
[ "nonn" ]
A090754
[ 1, 1, 3, 13, 73, 127, 2611, 19993, 55291, 1436473, 14004451, 48366487, 1584090553, 2599545379, 74472090481, 2865429498961, 2948475507877, 178482956754811, 7823019065848003, 118402856414023940, 88402610721571140 ]
[ "frac", "nonn" ]
A376830
[ 1, 13, 19, 31, 37, 53, 67, 83, 88, 89, 109, 113, 127, 131, 139, 152, 157, 181, 190, 199, 211, 225, 233, 251, 257, 263, 276, 286, 293, 307, 317, 337, 344, 353, 379, 389, 401, 406, 409, 443, 449, 467, 479, 487, 491, 499, 503, 509, 536, 541, 557, 563, 571, 577, 587, 612, 631, 642, 647, 653, 658, 677 ]
[ "nonn" ]
A221354
[ 0, 38, 6893, 938070, 103485930, 11446121074, 1234879060395, 133129213688286 ]
[ "nonn" ]
A014801
[ 1, 49, 9025, 25921, 275625, 511225, 2393209, 3705625, 11675889, 16378209, 40844881, 53831569, 115025625, 145226601, 278055625, 340218025, 600103009, 716900625, 1186595809, 1391066209, 2188461961, 2526771289, 3813680025 ]
[ "nonn", "easy" ]
A038567
[ 1, 2, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16 ]
[ "nonn", "frac", "core", "easy", "nice" ]
A154553
[ 2, 3, 23, 503, 991, 1381, 1621, 3301, 4211, 5471, 5683, 6563, 6581, 7351, 7369, 7829, 8179, 8849, 10061, 11299, 11789, 13841, 14389, 15823, 16981, 17839, 18199, 20563, 21089, 24151, 24989, 25321, 25609, 26203, 28001, 28403, 28433, 32003, 35671 ]
[ "nonn" ]
A069140
[ 0, 60, 504, 1716, 4080, 7980, 13800, 21924, 32736, 46620, 63960, 85140, 110544, 140556, 175560, 215940, 262080, 314364, 373176, 438900, 511920, 592620, 681384, 778596, 884640, 999900, 1124760, 1259604, 1404816, 1560780, 1727880, 1906500, 2097024, 2299836 ]
[ "easy", "nonn" ]
A159841
[ 1, 4, 1, 21, 7, 1, 120, 45, 10, 1, 715, 286, 78, 13, 1, 4368, 1820, 560, 120, 16, 1, 27132, 11628, 3876, 969, 171, 19, 1, 170544, 74613, 26334, 7315, 1540, 231, 22, 1, 1081575, 480700, 177100, 53130, 12650, 2300, 300, 25, 1, 6906900, 3108105, 1184040, 376740 ]
[ "nonn", "tabl" ]
A213547
[ 1, 12, 68, 260, 777, 1960, 4368, 8856, 16665, 29524, 49764, 80444, 125489, 189840, 279616, 402288, 566865, 784092, 1066660, 1429428, 1889657, 2467256, 3185040, 4069000, 5148585, 6456996, 8031492, 9913708, 12149985, 14791712, 17895680, 21524448, 25746721, 30637740 ]
[ "nonn", "easy" ]
A235615
[ 2, 3, 13, 41, 43, 61, 181, 191, 263, 281, 283, 331, 383, 431, 443, 463, 641, 643, 661, 881, 911, 1063, 1091, 1291, 1303, 1531, 1693, 2083, 2143, 2203, 2293, 2341, 3163, 3181, 3191, 3253, 3343, 3593, 3761, 3931, 4001, 4093, 4391, 4691, 4793, 5011, 5393, 5413, 5441, 6301 ]
[ "nonn", "base" ]
A152960
[ 0, 1, 134775814, -596792289, 870078620, 1172187917, -1410233534, 1368768587, 694906232, 1598751577, 1828254910, 352239543, 2039224980, 303092965, -683524998, 256513635, 1259699184, -355259471, 1580146294, -967806897, 1408429452, -1298476099, -669280590 ]
[ "sign", "easy" ]
A299195
[ 1, 1, 0, 0, 0, 30, 6, 0, 0, 0, 360, 157080, 0, 12586860, 0, 714233520, 579379361, 48062263014, 46026944529624, 759085890469938, 170947379002578300, 3331302954541377000, 479526242126281900000, 1.1322897238957194e+22, 1.3419834614189847e+24, 3.1585668052999317e+25 ]
[ "nonn" ]
A304477
[ 32, 184, 202, 869, 2870, 11079, 35462, 133597, 471114, 1710896, 6061565, 21980834, 78585187, 283683806, 1018847251, 3672874235, 13208879435, 47594094190, 171327070438, 617223088503, 2222719304061, 8007207853534, 28840761497354 ]
[ "nonn" ]
A132895
[ 2, 4, 8, 10, 14, 16, 22, 26, 28, 32, 34, 38, 44, 46, 50, 52, 58, 62, 64, 68, 70, 74, 76, 82, 86, 88, 92, 94, 98, 104, 106, 116, 118, 122, 124, 128, 130, 134, 136, 142, 146, 148, 152, 154, 158, 164, 166, 170, 172, 176, 178, 184, 188, 190, 194, 196, 202, 206, 208, 212 ]
[ "nonn" ]
A181512
[ 1, 1, 1, 1, 2, 2, 1, 3, 3, 6, 6, 1, 4, 4, 12, 12, 24, 24, 1, 5, 5, 5, 20, 20, 20, 60, 60, 120, 120, 1, 6, 6, 6, 30, 30, 30, 30, 120, 120, 120, 360, 360, 720, 720, 1, 7, 7, 7, 7, 42, 42, 42, 42, 42, 210, 210, 210, 210, 210, 840, 840, 840, 2520, 2520, 5040, 5040 ]
[ "nonn", "tabf" ]
A263526
[ 1, 3, 1, -3, -1, 0, 1, 6, 0, -6, -3, -3, 4, 12, 1, -12, -6, -3, 5, 24, 1, -24, -10, -6, 11, 42, 4, -42, -19, -12, 17, 72, 4, -69, -31, -18, 31, 120, 9, -114, -50, -30, 46, 189, 11, -180, -79, -48, 77, 294, 21, -276, -122, -72, 112, 450, 28, -420, -183, -108 ]
[ "sign" ]
A193732
[ 1, 3, 4, 6, 8, 9, 11, 13, 15, 17, 18, 20, 22, 24, 26, 28, 30, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 110, 112, 114, 116, 118, 120 ]
[ "nonn", "easy" ]
A298158
[ -1, -2, 1, 1, 10, 15, 41, 64, 137, 217, 418, 667, 1213, 1944, 3413, 5485, 9410, 15151, 25585, 41248, 68881, 111153, 184130, 297331, 489653, 791080, 1297117, 2096389, 3426274, 5539047, 9030857, 14602672, 23764601, 38432809, 62459554, 101023435, 164007277 ]
[ "easy", "sign" ]
A077158
[ 4, 6, 2, 3, 5, 7, 8, 9, 10, 11, 13, 17, 19, 23, 29, 12, 14, 15, 16, 18, 31, 37, 41, 43, 47, 53, 59, 61, 20, 21, 22, 24, 25, 26, 27, 67, 71, 73, 79, 83, 89, 97, 101, 103, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 44, 45, 46, 48 ]
[ "easy", "nonn" ]
A083597
[ 1, 8, 36, 148, 596, 2388, 9556, 38228, 152916, 611668, 2446676, 9786708, 39146836, 156587348, 626349396, 2505397588, 10021590356, 40086361428, 160345445716, 641381782868, 2565527131476, 10262108525908, 41048434103636 ]
[ "easy", "nonn" ]
A059566
[ 2, 4, 6, 9, 11, 13, 15, 18, 20, 22, 25, 27, 29, 31, 34, 36, 38, 41, 43, 45, 47, 50, 52, 54, 57, 59, 61, 63, 66, 68, 70, 72, 75, 77, 79, 82, 84, 86, 88, 91, 93, 95, 98, 100, 102, 104, 107, 109, 111, 114, 116, 118, 120, 123, 125, 127, 129, 132, 134, 136, 139, 141, 143 ]
[ "nonn", "easy" ]
A251855
[ 23664, 459952, 10413561, 216245728, 4504504613, 95484824630, 2014749003137, 42431856405171, 894942181261893, 18875574496561052, 398002497183748740, 8392744063343680000, 176985313926803460000, 3.7321598219294784e+21 ]
[ "nonn" ]
A301363
[ 1, 1, 4, 25, 202, 1966, 22306, 289969, 4272934, 70792318, 1308702592, 26791202362, 602762346088, 14795609964448, 393567982759966, 11276489767853568, 346158428070229440, 11331678979354212000, 393967314482937500000, 1.4495027742943618e+22, 5.626001909904558e+23 ]
[ "nonn" ]
A210545
[ 1, 1, 2, 1, 1, 5, 1, 1, 2, 15, 1, 1, 1, 4, 52, 1, 1, 1, 2, 9, 203, 1, 1, 1, 1, 4, 23, 877, 1, 1, 1, 1, 2, 8, 65, 4140, 1, 1, 1, 1, 1, 4, 17, 199, 21147, 1, 1, 1, 1, 1, 2, 8, 40, 654, 115975, 1, 1, 1, 1, 1, 1, 4, 16, 104, 2296, 678570, 1, 1, 1, 1, 1, 1, 2, 8, 33, 291, 8569, 4213597, 1, 1, 1, 1 ]
[ "nonn", "tabl" ]
A088174
[ 1, 2, 4, 6, 18, 30, 36, 78, 90, 114, 120, 132, 138, 144, 150, 156, 162, 168, 192, 210, 216, 222, 246, 264, 288, 306, 312, 318, 336, 372, 396, 462, 564, 606, 624, 630, 642, 648, 654, 678, 714, 738, 774, 792, 810, 816, 840, 864, 918, 936, 1002, 1020, 1038, 1062 ]
[ "easy", "nonn" ]
A217715
[ 16, 30, 32, 48, 54, 64, 80, 120, 176, 288, 368, 432, 464, 656, 848, 858, 864, 1328, 1424, 1722, 1808, 1944, 2096, 2768, 2864, 2916, 3056, 3728, 3824, 4016, 4496, 4688, 5744, 5832, 6704, 6896, 7088, 7856, 8144, 9488, 10256, 10448, 10544, 10928, 11504, 11888 ]
[ "nonn" ]
A221344
[ 41, 7877, 1534835, 308965149, 63149694983, 12989361912229, 2678002672533618 ]
[ "nonn" ]
A111402
[ 0, 1, 50, 1382958493, 5.820533802419587e+49 ]
[ "nonn" ]
A005442
[ 1, 1, 4, 18, 120, 960, 9360, 105840, 1370880, 19958400, 322963200, 5748019200, 111607372800, 2347586841600, 53178757632000, 1290674601216000, 33413695451136000, 919096314200064000, 26768324463648770000 ]
[ "nonn", "easy" ]
A322905
[ 0, 144, 441, 1475244, 4425741, 161247384, 483742161, 14752475244, 44257425741, 1612475247384, 4837425742161, 147524752475244, 442574257425741, 16124752475247384, 48374257425742160 ]
[ "nonn", "easy", "base" ]
A227033
[ 1, 4, 4, 0, 6, 16, 8, 0, 17, 40, 28, 0, 38, 96, 56, 0, 84, 204, 124, 0, 172, 400, 232, 0, 325, 760, 448, 0, 594, 1376, 784, 0, 1049, 2404, 1388, 0, 1796, 4096, 2320, 0, 3005, 6808, 3864, 0, 4912, 11072, 6216, 0, 7877, 17688, 9940, 0, 12430, 27792, 15488, 0 ]
[ "nonn" ]
A208933
[ 1, 2, 4, 8, 16, 28, 48, 80, 128, 202, 312, 472, 704, 1036, 1504, 2160, 3072, 4324, 6036, 8360, 11488, 15680, 21264, 28656, 38400, 51182, 67864, 89552, 117632, 153836, 200352, 259904, 335872, 432480, 554952, 709728, 904784, 1149916, 1457136, 1841200, 2320128 ]
[ "nonn" ]
A349835
[ 1, 6, 14, 44, 150, 532, 1932, 7128, 26598, 100100, 379236, 1444456, 5525884, 21217224, 81719000, 315583920, 1221550470, 4737927780, 18409560180, 71645805000, 279227584020, 1089643989720, 4257130461480, 16649826582480, 65181326593500, 255401021170152 ]
[ "nonn", "easy" ]
A384544
[ 1, 3, 5, 9, 15, 23, 35, 63, 65, 69, 113, 125, 141, 149, 173, 209, 231, 275, 279, 299, 321, 353, 365, 383, 419, 465, 509, 519, 555, 575, 603, 653, 695, 749, 765, 875, 945, 951, 959, 983 ]
[ "nonn", "more" ]
A144932
[ 1, 11, 45, 181, 362, 724, 1448, 2896, 11585, 23170, 741455, 1482910, 11863283, 23726566, 189812531, 379625062, 97184015999, 194368031998, 3109888511975, 99516432383215, 199032864766430, 1592262918131443, 3184525836262886 ]
[ "nonn" ]
A258257
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 3, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 5, 1, 2, 1, 2, 1, 1, 3, 1, 1, 2, 3, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 2, 4, 2, 3, 1, 1, 2, 3, 6, 1, 1, 3, 3, 1 ]
[ "nonn" ]
A242095
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 5, 1, 0, 1, 1, 8, 18, 1, 0, 1, 1, 9, 139, 173, 1, 0, 1, 1, 9, 408, 15412, 2812, 1, 0, 1, 1, 9, 649, 332034, 10805764, 126446, 1, 0, 1, 1, 9, 749, 2283123, 3327329224, 50459685390, 16821330, 1, 0 ]
[ "nonn", "tabl" ]
A149048
[ 1, 1, 3, 10, 39, 144, 615, 2488, 11080, 47401, 216326, 958515, 4449062, 20178691, 94826467, 437279311, 2074031303, 9683449511, 46256188985, 218045307657, 1047393986003, 4974855688358, 24004438387183, 114714186654017, 555549959677201, 2668229855852317, 12961512432099072, 62511691341765930 ]
[ "nonn", "walk" ]
A177266
[ 1, 4, 1, 5, 8, 1, 4, 6, 2, 1, 2, 4, 4, 2, 1, 8, 2, 4, 2, 2, 1, 11, 8, 1, 11, 2, 1, 1, 14, 20, 8, 4, 14, 18, 2, 1, 2, 13, 11, 18, 23, 24, 16, 8, 1, 10, 22, 6, 16, 14, 20, 6, 16, 2, 1, 17, 29, 16, 8, 17, 25, 4, 2, 25, 29, 1, 30, 16, 2, 18, 16, 8, 32, 16, 2, 18, 2, 1, 23, 32, 4, 2, 22 ]
[ "nonn", "tabl" ]