id
stringlengths
7
11
seq
listlengths
1
347
keywords
listlengths
1
8
A161809_aug
[ 1, 3, 6, 12, 21, 33, 51, 75, 105, 147, 201, 267, 354, 462, 591, 753, 948, 1176, 1455, 1785, 2166, 2622, 3153, 3759, 4470, 5286, 6207, 7275, 8490, 9852, 11415, 13179, 15144, 17376, 19875, 22641, 25761, 29235, 33063, 37353, 42105, 47319, 53124 ]
null
A084811_aug
[ 0, 1, 2, 3, 4, 6, 76 ]
null
A384664_aug
[ 5, 7, 9, 11, 17, 23, 27, 31, 34, 36, 38, 40, 45, 47, 49, 52, 54, 59, 61, 64, 70, 73, 75, 79, 82, 88, 93, 98, 102, 105, 108, 110, 115, 119, 124, 126, 132, 136, 139, 141, 144, 148, 152, 155, 159, 161, 164, 166, 168, 173, 175, 180, 185, 187, 190, 195, 197, 202 ]
null
A111467_aug
[ -1, 2, -3, 6, -10, 14, -24, 40, -54, 56, -120, 168, -264, 270, -280, 720, -1008, 1200, -1584, 1620, -1872, 5040, -7920, 8400, -9360, 11088, -11340, 11760, -40320, 63360, -67200, 74880, -88704, 94080, -97920, 104832, -362880, 570240, -673920, 798336, -881280, 943488, -984960, 1192320, -1224720 ]
null
A194031_aug
[ 1, 2, 4, 3, 7, 5, 6, 11, 8, 9, 10, 15, 16, 12, 13, 14, 20, 21, 28, 36, 22, 17, 18, 19, 26, 27, 35, 44, 45, 55, 66, 78, 91, 29, 23, 24, 25, 33, 34, 43, 53, 54, 65, 77, 90, 37, 30, 31, 32, 41, 42, 52, 63, 64, 76 ]
null
A195267_aug
[ 14, 89, 3104, 265832, 42711550, 11454711984, 4840928618302, 3108267243405312, 2924919606477510700, 3.87056208632322e+21, 6.908112063470228e+24, 1.6038451894952529e+28, 4.707697972568312e+31, 1.7092861751419114e+35 ]
null
A208643_aug
[ 1, -2, 3, -4, 7, -4, 9, -7, 10, -9, 14, -9, 20, -9, 20, -11, 26, -11, 26, -15, 26, -17, 30, -17, 36, -17, 36, -23, 36, -23, 38, -26, 41, -26, 45, -26, 47, -32, 47, -32, 51, -32, 57, -32, 57, -40, 57, -40, 57, -44, 57, -46, 61, -46, 63, -50, 63, -64, 63, -64 ]
null
A144960_aug
[ 9, -33, 45, -153, 177, -177, 1281, -1285, 1301, -1297, 4445, -4453, 4485, -4489, 4517, -8665, 8681, -8677, 8693, -8689, 8717, -14529, 14541, -14545, 14561, -14557, 14597, -14617, 883245, -883245, 883277, -883353, 883401, -883405, 883433, -883429 ]
null
A209011_aug
[ 3, -3, 7, -3, 3, -1, 1, -9, 9, -1, 7, -1, 7, -3, 5, -7, 3, -1, 9, -3, 5, -9, 7, -9, 7, -5, 1, -1, 3, -1 ]
null
A037368_aug
[ 1, 2, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 1, 3, 1, 3, 2, 1, 1, 3, 1, 2, 1, 3, 1, 3, 1, 1, 1, 3, 1, 3, 1, 3, 1, 3, 2, 2, 1, 3, 1, 3, 2, 2, 2, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2 ]
null
A047108_aug
[ -1, -4, -15, -57, -215, -812, -3083, -11750, -44934, -172401, -663370, -2559008, -9894006, -38331115, -148770379, -578346672, -2251636041, -8777816518, -34261079538, -133873978089, -523638632149, -2050085911219, -8033148700174, -31502487793694 ]
null
A051439_aug
[ 2, 6, 12, 36, 78, 176, 414, 894, 2052, 4494, 9714, 21010, 45156, 96464, 205606, 435530, 920892, 1938610, 4072932, 8535992, 17845986, 37242544, 77569538, 161300110, 334906976, 694328980, 1437620924, 2972973946 ]
null
A341450_aug
[ -1, 0, 0, 0, 0, -1, 0, -2, -1, -3, -3, -6, -3, -9, -9, -12, -12, -20, -18, -28, -27, -37, -42, -55, -51, -74, -80, -98, -105, -136, -137, -180, -189, -232, -255, -308, -320, -403, -434, -512, -551, -668, -706, -852, -915, -1067, -1170, -1370, -1453, -1722, -1860, -2145, -2332, -2701, -2899, -3355, -3626, -4144 ]
null
A121946_aug
[ 1, 2, 3, 5, 8, 12, 18, 26, 37, 51, 69, 92, 121, 157, 202, 257, 324, 405, 503, 620, 760, 926, 1122, 1353, 1624, 1941, 2310, 2739, 3235, 3808, 4468, 5226, 6095, 7088, 8221, 9511, 10976, 12638, 14519, 16644, 19041 ]
null
A369844_aug
[ 0, 1, 4, 11, 29, 81, 235, 685, 1986, 5739, 16577, 47904, 138472, 400285, 1157071, 3344567, 9667590, 27944604, 80775310, 233485250, 674901117, 1950836005, 5638990526, 16299788815, 47115369056, 136189372297, 393662311506, 1137900943868, 3289160582291, 9507486039274 ]
null
A148204_aug
[ 1, -1, 2, -4, 12, -35, 113, -375, 1310, -4703, 17330, -65209, 250114, -973787, 3843412, -15348830, 61943321, -252282099, 1036030465, -4286325796, 17852945250, -74812425886, 315247690475, -1335177040541, 5681387342453, -24279598309480, 104174406713499, -448629070128615, 1938691951621376, -8404757306420331 ]
null
A097009_aug
[ 1, 2, 4, 6, 2, 12, 2, 2, 2, 14, 6, 4, 20, 2, 2, 26, 2, 30, 6, 2, 36, 6, 2, 2, 12, 2, 2, 2, 54, 56, 2, 10, 4, 6, 4, 2, 12, 2, 2, 4, 2, 36, 2, 24, 14, 2, 70, 2, 2, 12, 4, 2, 48, 2, 8, 2, 2, 10, 2, 14, 6, 2, 2, 2, 12, 2, 6, 48, 2, 4, 4, 2, 2, 4, 2, 2, 2, 2, 16, 4, 2, 10, 2, 12, 2, 34, 8, 8, 20, 6, 2, 2 ]
null
A184013_aug
[ 1, 3, 5, 7, 10, 13, 17, 21, 25, 30, 35, 41, 47, 53, 60, 67, 75, 83, 91, 100, 109, 119, 129, 139, 150, 161, 173, 185, 197, 210, 223, 237, 251, 265, 280, 295, 311, 327, 343, 360, 377, 395, 413, 431, 450, 469, 489, 509, 529, 550, 571, 593, 615, 637, 660, 683, 707, 731, 755, 780, 805, 831, 857, 883, 910, 937, 965, 993, 1021, 1050, 1079, 1109, 1139, 1169, 1200, 1231, 1263, 1295, 1327, 1360 ]
null
A286464_aug
[ 2, 2, 12, 2, 16, 12, 29, 2, 31, 16, 67, 12, 67, 29, 138, 2, 16, 31, 67, 16, 467, 67, 277, 12, 67, 67, 745, 29, 277, 138, 497, 2, 23, 16, 67, 31, 436, 67, 302, 16, 436, 467, 1771, 67, 1894, 277, 1129, 12, 67, 67, 668, 67, 1771, 745, 2557, 29, 302, 277, 2557, 138, 1129, 497, 2148, 2, 16, 23, 67, 16, 467, 67, 277, 31, 436, 436, 1832, 67, 1771, 302, 1129, 16, 566 ]
null
A389978_aug
[ 1, 9, 25, 49, 9, 121, 169, 241, 289, 361, 463, 529, 25, 9, 841, 961, 1123, 1261, 1369, 1561, 1681, 1849, 241, 2209, 49, 2653, 2809, 3081, 3307, 3481 ]
null
A229113_aug
[ 1, 4, 18, 133, 1607, 27913, 633451, 17749692, 592148553, 22925360907, 1010586203081, 49980261573367, 2740868703087140, 165074649387429300, 10832191614559713000, 769266626480684500000, 5.8784869393182105e+22, 4.8097570332762313e+24, 4.195308180597026e+26 ]
null
A019352_aug
[ 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2 ]
null
A076254_aug
[ 995886571680, 1493829857520, 1991773143360, 2987659715040 ]
null
A132523_aug
[ 10, 40, 545, 74770, 2502914475, 1488936628512499700, 9.092368767344826e+35, 2.1634203160844115e+71 ]
null
A319287_aug
[ 149, 157, 173, 181, 193, 197, 229, 233, 241, 257, 269, 277, 281, 293, 313, 317, 337, 349, 389, 397, 401, 409 ]
null
A078418_aug
[ -6, 42, 267, 300, 318, 1461, 1653, 8892, 9252, 9348, 9417, 9438, 9963, 10077, 10425, 10905, 11109, 11220, 11244, 11922, 12003, 14277, 52281, 53322, 53364, 53565, 53652, 53667, 54213, 54393, 55242, 55716, 55908, 56040, 56328, 56388, 56832, 59193, 59580 ]
null
A114669_aug
[ 161831, 543841, 786241, 1007161, 1331521, 1527289, 1591969, 1884791, 2005441, 2574601, 2784961, 3086977, 3131209, 3474719, 3735601, 3818929, 3829489, 3852601, 3856129, 4082401, 4145951, 4259641, 4353001, 4554553, 4740961, 4823641, 4893001, 5020391, 5206081 ]
null
A121807_aug
[ 10, 21, 122, 233, 1244, 2345, 12346, 22357, 32468, 43569, 54680, 154781, 255782, 356793, 457904, 568005, 679016, 790117, 1790128, 2790239, 3791240, 4792351, 5802362, 6813363, 7913364, 9013465, 10113576, 11214587, 12315688, 13425689 ]
null
A311236_aug
[ -1, -4, -8, -12, -16, -20, -26, -32, -36, -40, -40, -46, -52, -58, -62, -68, -66, -72, -78, -84, -86, -96, -92, -100, -104, -110, -110, -122, -118, -128, -132, -136, -134, -148, -142, -156, -160, -164, -158, -174, -166, -182, -188, -192, -184, -200, -190, -208, -214, -220 ]
null
A082801_aug
[ 12, 24, 30, 42, 54, 6, 72, 84, 90, 102, 114, 12, 132, 144, 150, 162, 174, 18, 192, 204, 210, 222, 234, 24, 252, 264, 270, 282, 294, 30, 312, 324, 330, 342, 354, 36, 372, 384, 390, 402, 414, 42, 432, 444, 450, 462, 474, 48, 492, 504, 510, 522, 534, 54, 552 ]
null
A088265_aug
[ 11, 17, 101, 107, 1001, 1007, 10001, 10007, 100001, 100007, 1000001, 1000007, 10000001, 10000007, 100000001, 100000007, 1000000001, 1000000007 ]
null
A355736_aug
[ 1, 4, 11, 24, 45, 82, 121, 210, 343, 460, 571, 844, 1195, 1454, 1721, 2054, 2507, 3300, 3969, 4592, 5591, 6368, 7211, 8702, 9859, 11420, 14283, 15726, 17689, 20020, 21997, 23866, 26765, 29294, 32501, 36608, 39779, 44852, 49181, 52834, 57501, 60972, 68371, 72984, 80571, 86502, 93771, 99660, 107143 ]
null
A312902_aug
[ 1, 4, 9, 13, 17, 22, 26, 31, 35, 39, 44, 48, 52, 57, 61, 65, 70, 74, 79, 83, 87, 92, 96, 100, 105, 109, 113, 118, 122, 127, 131, 135, 140, 144, 148, 153, 157, 161, 166, 170, 175, 179, 183, 188, 192, 196, 201, 205, 209, 214 ]
null
A174619_aug
[ 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 8, 10, 13, 17, 21, 28, 34, 45, 55, 72, 89, 116, 144, 188, 233, 305, 377, 494, 610, 799, 987, 1292, 1597, 2090, 2584, 3382, 4181, 5473, 6765, 8856, 10946, 14329, 17711, 23184, 28657, 37512, 46368, 60696, 75025, 98209, 121393, 158906, 196418, 257115, 317811 ]
null
A126080_aug
[ 0, 1, 2, 2, 4, 3, 6, 4, 6, 5, 10, 6, 12, 7, 6, 8, 16, 9, 18, 10, 8, 11, 22, 12, 20, 13, 18, 14, 28, 7, 30, 16, 12, 17, 10, 18, 36, 19, 14, 20, 40, 9, 42, 22, 18, 23, 46, 24, 42, 25, 18, 26, 52, 27, 14, 28, 20, 29, 58, 14, 60, 31, 24, 32, 16, 13, 66, 34, 24, 11, 70, 36, 72, 37, 30, 38 ]
null
A249786_aug
[ 1, 2, 0, 6, -42, 318, -4482, 54318, -1034322, 17593518, -422700882, 9277081518, -269395404882, 7250078156718, -246961818982482, 7877037840793518, -307940851746406460, 11360385226942874000, -501296489303561860000, 2.1002238304065545e+22, -1.0325075866886321e+24 ]
null
A252709_aug
[ 0, 0, 0, 0, 0, 0, 0, 0 ]
null
A076004_aug
[ 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0 ]
null
A358638_aug
[ 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 3, 1, 2, 2, 3, 3, 4, 2, 4, 3, 4, 4, 6, 3, 6, 5, 7, 5, 7, 5, 8, 6, 7, 7, 10, 7, 11, 7, 9, 9, 11, 8, 12, 9, 11, 10, 13, 9, 14, 11, 14, 11, 14, 11, 16, 13, 15, 13, 17, 13, 19, 14, 16, 15, 19, 15, 21, 15, 17, 17, 21, 16, 22, 17, 21, 18, 22, 18, 25, 18, 22 ]
null
A278448_aug
[ 3, 7, 13, 19, 25, 32, 39, 46, 53, 61, 69, 77, 85, 93, 102, 110, 119, 128, 136, 145, 154, 163, 173, 182, 191, 201, 210, 220, 229, 239, 248, 258, 268, 278, 288, 298, 307, 318, 328, 338, 348, 358, 368, 379, 389, 399, 410, 420, 430, 441, 451, 462, 473, 483, 494, 505, 515, 526, 537, 547, 558, 569, 580, 591, 602, 613, 624, 635, 646, 657 ]
null
A180740_aug
[ 0, 1, 11, 731, 3029, 63071 ]
null
A253828_aug
[ 3, 1, 4, 1, 1953125, 81, 64, 7776, 125, 243, 390625, 134217728, 4782969, 40353607, 729, 9, 8, 6561, 4096, 4096, 36, 64, 1296, 64, 27, 6561, 512, 9, 128, 40353607, 59049, 1, 0, 256, 16777216, 4096, 4, 1, 4782969, 7, 1, 10077696, 729, 19683, 387420489, 729, 2187 ]
null
A234947_aug
[ 1, 8, 4079, 1669221 ]
null
A285131_aug
[ 4, 4, 4, 16, 16, 16, 40, 68, 68, 108, 192, 236, 296, 464, 708, 852, 1132, 1732, 2332, 2828, 3940, 5704, 7204, 9076, 12712, 17236, 21308, 27632, 38040, 49280, 61068, 80344, 107416, 135336, 169372, 222928, 290080, 360516, 455404, 594284, 755632, 935084, 1187596, 1529316, 1912864, 2369012, 3008540, 3819336, 4727684 ]
null
A005298_aug
[ 2, 2, 7, 11, 25, 38, 78, 122, 219, 344, 579, 894, 1446, 2198 ]
null
A019182_aug
[ 6, 7, 10, 8, 12, 34, 36, 92, 260, 482, 1318, 3496, 7894, 20652, 53804, 132284, 341973, 891368, 2293640, 5997360 ]
null
A199332_aug
[ 1, 2, 3, 4, 4, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 10, 11, 12, 13, 14, 15, 16, 16, 16, 16, 16, 16, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 25, 25, 25, 25, 25, 25, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 37, 38 ]
null
A303347_aug
[ -3, -2, 2, -4, 0, -50, -102, -454, -1458, -5158, -18010, -64408, -229820, -830702, -3014810, -11012740, -40414896, -149025174, -551697194, -2050141916, -7644040784, -28589874566, -107233540610, -403259826094, -1520146917282, -5743228289322 ]
null
A342901_aug
[ 200, 2365, 14675, 4468035, 413593470 ]
null
A297300_aug
[ -1, -1, -3, -5, -9, -17, -32, -60, -113, -213, -401, -755, -1422, -2678, -5043, -9497, -17885, -33681, -63428, -119448, -224945, -423617, -797757, -1502339, -2829210, -5327978, -10033667, -18895437, -35583953, -67011825, -126196904, -237654452, -447551697, -842830925 ]
null
A037638_aug
[ 2, 23, 236, 2368, 23689, 236902, 2369034, 23690355, 236903568, 2369035700, 23690357021, 236903570234, 2369035702366, 23690357023687, 236903570236900, 2369035702369032 ]
null
A004634_aug
[ 20, 1, 1000, 123, 3120, 1331, 20000, 11113, 33220, 23121, 123000, 110303, 222320, 202111, 1000000, 310233, 1123020, 1030301, 1331000, 1223023, 2212120, 2100231, 3120000, 2332013, 10102220, 3310021, 11113000, 10303203, 12211320, 11331011 ]
null
A048523_aug
[ -5, -4, -6, -5, -7, -5, -6, -5, -6, -5, -7, -5, -7, -6, -5, -4, -7, -5, -4, -4, -5, -6, -7, -7, -5, -6, -7, -6, -4, -6, -4, -4, -7, -6, -5, -7, -5, -5, -5, -5, -4, -5, -6, -7, -6, -5, -7, -7, -6 ]
null
A260256_aug
[ 5, -13, 22, -34, 49, -70, 94, -124, 160, -197, 236, -281, 334, -394, 461, -529, 598, -679, 763, -852, 945, -1044, 1149, -1260, 1372, -1485, 1602, -1722, 1843, -1970, 2099, -2230, 2373, -2517, 2674, -2832, 2997, -3169, 3342, -3526, 3711, -3899, 4094, -4296 ]
null
A087389_aug
[ 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1 ]
null
A164743_aug
[ 3, 3, 2, 1, 2, 2, 3, 1, 3, 3, 2, 1, 2, 2, 3, 1, 3, 3, 2, 1, 2, 2, 3, 1, 3, 3, 2, 1, 2, 2, 3, 1, 3, 3, 2, 1, 2, 2, 3, 1, 3, 3, 2, 1, 2, 2, 3, 1, 3, 3, 2, 1, 2, 2, 3, 1, 3, 3, 2, 1, 2, 2, 3, 1, 3, 3, 2, 1, 2, 2, 3, 1, 3, 3, 2, 1, 2, 2, 3, 1, 3, 3, 2, 1, 2, 2, 3, 1 ]
null
A012040_aug
[ 2, -6, 98, -4150, 337730, -45213350, 9044937250, -2532339003350, 946127532613250, -455014162855495740, 273836185900572970000, -2.0161160605789554e+23, 1.782586466190259e+26 ]
null
A255714_aug
[ -5, 8, 66, 333, 1698, 8805, 45726, 229308, 1129015, 5744711, 30448136, 163328131, 866397886, 4515528530, 23325358067, 121500213360, 648072229587, 3549923527094, 19654222272267, 107149613713773, 565522043746010 ]
null
A318656_aug
[ 2, 0, 2, -2, 0, -2, 4, -2, 0, -6, 0, -2, 0, -2, 2, -4, -4, -2, 0, -2, 0, -4, 2, -2, 0, -6, 0, -8, -2, -2, 4, -2, 0, -4, -4, -4, 0, -2, 2, -4, -2, -2, 0, -2, 0, -8, 0, -2, -4, -6, 0, -4, -6, -2, 2, -4, 0, -4, -2, -2, 0, -2, 4, -8, -2, -4, 0, -2, -2, -4, -2, -2, 0, -2, 0, -8, -2, -4, 0, -2, 0, -14, -2, -2, 0, -4, 2, -4, -6, -2, 0, -4 ]
null
A184280_aug
[ 130, 11, 44368, 2211, 21524790, 956635, 11767920118, 498112275, 6863038218842, 282429542331, 4169295435797688, 168456380815459, 2605214027190054400, 103911670590311940, 1.6618008974407298e+21, 65651393478909970000, 4.222929339363839e+22 ]
null
A166309_aug
[ 11, -13, 10, -12, 14, -16, 21, -26, 15, -17, 19, -24, 29, -34, 18, -20, 22, -27, 32, -37, 42, -47, 23, -25, 30, -35, 40, -45, 50, -55, 60, -28, 33, -38, 43, -48, 53, -58, 63, -68, 31, -36, 41, -46, 51, -56, 61, -66, 71, -76, 81, -39, 44, -49, 54, -59, 64, -69, 74, -79, 84, -89, 102, -115, 52, -57 ]
null
A226515_aug
[ 1, 3, 0, 4, 2, 3, 0, 4, 2, 3, 0, 4, 2, 3, 0, 4, 2, 3, 0, 4 ]
null
A027257_aug
[ -25, -20, 10, 260, 2280, 18880, 157150, 1320640, 11188170, 95397840, 817692330, 7039067160, 60815078280, 527039449620, 4579566338230, 39884574296020, 348066660626680, 3042954147968160, 26645209259626250, 233647958013176200 ]
null
A050952_aug
[ -34, -74, -122, -202, -394, -634, -922, -1114, -1354, -1546, -3754 ]
null
A336074_aug
[ 2, 2, 2, 1, 0, 1, 3, 0, 0, 1, 3, 1, 1, 1, 2, 3, 3, 0, 1, 3, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 3, 1, 0, 0, 1, 3, 2, 1, 1, 0, 1, 0, 3, 2, 1, 1, 0, 2, 2, 0, 1, 3, 1, 3, 0, 0, 0, 3, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1 ]
null
A112566_aug
[ 1, 3, 0, 4, 1, 7, 1, 0, 0, 1, 1, 7, 1, 3, 4, 1, 1, 5, 1, 6, 1, 4, 1, 1, 1 ]
null
A021854
[ 1, 20, 265, 2940, 29601, 280740, 2558905, 22683980, 197048401, 1685772660, 14253277545, 119401486620, 992861126401, 8206523123780, 67497981692185, 552905862106860, 4513706683463601, 36742894880462100 ]
[ "nonn", "easy" ]
A000095_aug
[ 1, 0, 0, 4, 2, 0, 0, 0, 2, 0, 0, 4, 2, 0, 0, 0, 0, 0, 0, 4, 2, 0, 0, 0, 2, 0, 0, 4, 4, 0, 0, 0, 2, 0, 0 ]
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A096588_aug
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