id
stringlengths
7
11
seq
listlengths
1
347
keywords
listlengths
1
8
A017618_aug
[ 128, 3872, 12800, 26912, 46208, 70688, 100352, 135200, 175232, 220448 ]
null
A063024_aug
[ 8, 9, 9, 11, 9, 8, 9, 12, 8, 10, 11, 9, 9, 12, 12, 12, 12, 9, 11, 12, 9, 8, 8, 8 ]
null
A197173_aug
[ 1, 6, 47, 1016, 93222, 22428339, 16709039046, 35412869343655, 218972823074125660, 3.9102233817354737e+21 ]
null
A147991_aug
[ -3, -12, -21, -39, -48, -66, -102, -120, -129, -147, -183, -201, -291, -309, -345, -363, -372, -390, -426, -444, -534, -552, -588, -606, -858, -876, -912, -930, -1020, -1038 ]
null
A296453_aug
[ 5, -7, 9, -2, -6, 6, -4, 3, -3, 4, -6, 5, -5, 2, 4, -4, -2, 7, 0, -2, -5, 3, -1, 3, 3, -7, 1, -2, 5, -6, 0, 8, -3, -2, -3, 9, -6, 3, -3, 5, -2, 0, -6, 5, 4, -4, 4, -8, 3, -3, 5, -5, 8, -1, 1, -8, 7, 0, ...
null
A197410_aug
[ 1, 21, 8, 432, 14, 9765, 20, 1512, 186, 460992, 32, 3240, 38, 680400000, 44 ]
null
A340203_aug
[ 0, 0, 0, 1, 2, 4, 7, 11, 15, 19, 24, 30, 36, 43, 51, 59, 68, 78, 88, 98, 109, 121, 134, 147, 160, 174, 189, 204, 220, 237, 254, 271, 288, 305, 323, 342, 362, 382, 402, 423, 444, 465, 487, 509, 532, 556, 580, 604, 629, ...
null
A297401_aug
[ 24, 40, 54, 56, 88, 104, 128, 135, 136, 152, 184, 189, 232, 248, 250, 296, 297, 328, 344, 351, 375, 376, 424, 459, 472, 488, 513, 536, 568, 584, 621, 632, 664, 686, 712, 776, 783, 808, 824, 837, 856, 872, 875, 904, 999, 1016, ...
null
A212224_aug
[ 4, 16, 36, 68, 84, 104, 128, 136, 164, 180, 184, 216, 224, 260, 292, 324, 340, 352, 372, 380, 380, 404, 408, 440, 440, 464, 464, 464, 484, 484, 488, 520, 548, 584, 600, 620, 644, 664, 700, 732, 732, 764, 796, 800, 832, 848, ...
null
A009989_aug
[ 44, 1980, 89100, 4009500, 180427500, 8119237500, 365365687500, 16441455937500, 739865517187500, 33293948273437500, 1498227672304687600, 67420245253710940000, 3.033911036416992e+21, 1.3652599663876464e+23, 6.14366984874441e+24, 2.7646514319349842e+26 ]
null
A144624_aug
[ 0, 1, 6, 7, 16, 11, 16, 18, 36, 41, 48, 31, 34, 45, 39, 63, 76, 81, 90, 111, 122, 57, 64, 71 ]
null
A126338_aug
[ 1, 2, 5, 7, 13, 59, 413, 3881, 405331, 2845313, 17135191, 274111423, 4924469, 105188, 5188129, 3877908109, 984131084791, 152077180227073, 17159732095214476, 2637696371523184, 12185515744595364 ]
null
A055346_aug
[ 7, 4, 6, 0, 2, 4, 0, 1, 8, 8, 8, 4, 9, 2, 8, 3, 0, 1, 1, 8, 9, 7, 6, 2, 1 ]
null
A384259
[ 1, 4, 45, 840, 21945, 737280, 30282525, 1470268800, 82380323025, 5231974809600, 371413503586125, 29144138639616000, 2504851570980384000, 234017443515727870000, 2.3613335889752374e+22, 2.559272716623604e+24, 2.9651918150267944e+26, 3.6572320958219877e+28 ]
[ "nonn", "easy" ]
A100064_aug
[ 1, 1, 1, 1, 2, 8, 1, 3, 15, 51, 1, 4, 24, 120, 408, 1, 5, 35, 225, 1215, 4365, 1, 6, 48, 372, 2628, 15084, 53856, 1, 7, 63, 567, 4851, 36603, 216405, 777609, 1, 8, 80, 816, 8112, 74352, 585792, 3558672, 12810240, 1, 9, 99,...
null
A104763_aug
[ 15, 16, 17, 19, 22, 27, 35, 15, 15, 16, 17, 19, 22, 27, 35, 48, 15, 15, 16, 17, 19, 22, 27, 35, 48, 69, 15, 15, 16, 17, 19, 22, 27, 35, 48, 69, 103 ]
null
A106860_aug
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
null
A065418_aug
[ 4, 6, 0, 4, 2, 7, 1, 2, 0, 7, 2, 0, 6, 6, 9, 6, 5, 9, 1, 2, 7, 2, 5, 2, 2, 4, 1, 7, 3, 4, 2, 0, 6, 5, 6, 8, 7, 3, 3, 2, 3, 7, 2, 4, 5, 0, 8, 9, 9, 7, 3, 4, 4, 6, 0, 4, 8, 6, 7, 8, 4, 6, 1, 3...
null
A350918_aug
[ 9801, -998001, 99980001, -9048004641, 9999800001, -923594037444, 989444005264, -999998000001, 7901234409876544, -8434234407495744, 8934133805179209, -9999999800000000, 999999998000000000, -79012345680987650000, 82644628100826450000, -83407877440792000000, 87138706300620950000 ]
null
A180275_aug
[ 5, 37, 757, 1031, 2237, 6917, 22037, 27091, 36037, 117797, 157627, 166541, 262337, 422101, 474787, 493277, 729271, 1643387, 1728361, 1906997, 2147077, 2460781, 2628487, 2686037, 3242237, 3375451, 4020157, 4742137, 5268547, 5359901 ]
null
A324861_aug
[ 1, 0, 2, 2, 3, 3, 3, 4, 4, 3, 4, 5, 5, 6, 4, 4, 4, 7, 5, 8, 6, 5, 5, 9, 7, 5, 6, 4, 5, 10, 5, 11, 8, 6, 5, 5, 9, 12, 6, 7, 6, 13, 7, 14, 10, 5, 6, 15, 4, 6, 8, 8, 5, 16, 7, 6, 11, 9, 6, 17, 12, ...
null
A264695_aug
[ 2, 2, 4, 6, 12, 4, 20, 34, 8, 16, 100, 68, 314, 144, 360, 668, 128, 288, 400, 192, 2320, 608, 9408, 8816, 6912, 9912, 37864, 38204, 108608, 52464, 106368, 209664, 32768, 79360, 16384, 49152 ]
null
A365631_aug
[ -7, -10, -3, -18, 12, -44, 50, -103, 139, -230, 315, -470, 628, -897, 1176, -1592, 2052, -2694, 3395, -4361, 5425, -6776, 8311, -10238, 12355, -15019, 17935, -21475, 25395, -30052, 35223, -41302, 47994, -55726, 64320, -74094, 84872, -97079, ...
null
A154924_aug
[ 3, 6, 0, 0, 12, 6, 16, 18, 16, 6, 32, 6, 36, 8, 28, 16, 2, 26, 10, 6, 10, 54, 6, 18, 0, 36, 0, 132, 18, 68, 12, 40, 24, 12, 20, 22, 20, 12, 24, 48, 0, 66, 30, 120, 150, 24, 62, 6, 4, 32, 48, 24, 8, 0, 28, 1...
null
A020318_aug
[ -2, 0, -2, 1, 4, -2, -2, -2, 2, 4, -2, -1, -2, -1, 1, 3, 3, 3, 3, 0, 1, -2, 0, 2, 3, -1, -2, 1, 1, 2, 3, -1, 1, -2, 0, -2, 3, -1, -1, 2 ]
null
A363569_aug
[ 9, 8, 9, 11, 9, 12, 10, 12, 9, 13, 12, 8, 11, 8, 8, 11, 9, 12, 9, 12, 13, 9, 12, 8, 9, 8, 11, 13, 12, 12, 13, 12, 9, 13, 13, 9, 10, 8, 12, 8, 11, 12, 11, 12, 9, 8, 10, 8, 11, 11, 10, 9, 9, 12, 9, 11, 11, ...
null
A056107_aug
[ -1, -4, -13, -28, -49, -76, -109, -148, -193, -244, -301, -364, -433, -508, -589, -676, -769, -868, -973, -1084, -1201, -1324, -1453, -1588, -1729, -1876, -2029, -2188, -2353, -2524, -2701, -2884, -3073, -3268, -3469, -3676, -3889, -4108, -...
null
A281870_aug
[ 0, 1, 5, 16, 58, 171, 434, 1030, 2259, 4645, 9071, 16927, 30354, 52586, 88351, 144425, 230347, 359329, 549338, 824505, 1216843, 1768278, 2533124, 3581117, 5000891, 6904149, 9430598, 12753622, 17086885, 22692075, 29887626, 39058827, 50669397, 65274492...
null
A226891_aug
[ 2, 1, 19, 4, 153, 63, 2090, 1273, 266133, 19227, 10631543, 868868, 662822809, 264365332, 129102309125 ]
null
A079552_aug
[ 5, 0, 30, 15, 70, 50, 125, 100, 175, 155, 245, 205, 330, 290, 390, 370, 440, 420, 540, 500, 640, 580, 700, 680, 800, 740, 885, 845, 965, 905, 1075, 1015, 1155, 1115, 1225, 1195, 1345, 1285, 1415, 1395, 1465, 1445, 1595, 1555, 17...
null
A022718_aug
[ -26, -25, -2027, -1728, -31134, -22307, -343303, -250119, -3139551, -2099798, -24650924, -16864652, -175215288, -112386821, -1162413071, -763255234, -7084218688, -4437286556, -41757948194, -26481560093, 61814152711 ]
null
A226593_aug
[ 3, 9, 24, 54, 288, 648, 6336, 29160, 117072, 582768, 3348720 ]
null
A200900_aug
[ 20, 1483, 142698, 18172239, 2162004143 ]
null
A114089_aug
[ 0, 2, 6, 12, 22, 38, 62, 100, 152, 232, 338, 494, 698, 988, 1364, 1882, 2548, 3448, 4592, 6108, 8028, 10526, 13666, 17708, 22746, 29156, 37112, 47122, 59472, 74894, 93806, 117238, 145850, 181036, 223798, 276088, 339330, 416222, 508872, 62...
null
A308297_aug
[ -8, -15, -21, -29, -35, -43, -50, -56, -64, -69, -79, -85, -91, -100, -102, -115, -118, -127, -137, -134, -156, -148, -164, -172, -162, -203, -167, -213, -203, -185, -270, -160, -294, -208, -212, -366, -75 ]
null
A346240_aug
[ 0, 0, 0, -1, 0, -3, 0, -11, 2, -3, 0, -46, 0, -5, 4, -85, 0, -80, 0, -68, 6, -3, 0, -398, 2, -5, 46, -130, 0, -209, 0, -575, 4, -3, 6, -981, 0, -5, 6, -640, 0, -397, 0, -182, 164, -7, 0, -2830, 4, -150, 4, -280, ...
null
A026473_aug
[ 1, 2, 4, 5, 6, 14, 16, 18, 30, 42, 43, 44, 56, 69, 70, 82, 83, 95, 96, 108, 109, 121, 122, 134, 135, 147, 148, 160, 161, 173, 174, 186, 187, 199, 200, 212, 213, 225, 226, 238, 239, 251, 252, 264, 265, 277, 278, 290, 291,...
null
A064976_aug
[ 0, 1191, 3003, 3885, 6609, 7680, 10434, 12282, 17493, 20790, 25764, 27591, 29526 ]
null
A169757_aug
[ -1, -1, -2, -1, -1, -1, -2, -2, 0, 0, -3, -2, 0, -1, -2, -3, 0, 2, -5, -1, 0, 0, -3, -4, 1, 2, -3, -4, 0, 0, -2, -4, 0, 0, -3, 0, 1, 4, -12, -1, 1, 5, -6, -4, 1, 1, -3, -6, 0, 6, -5, -4, 1, 2, -3, -7, 0, ...
null
A091377_aug
[ 1, 3, 7, 11, 15, 19, 23, 29, 33, 37, 41, 47, 51, 55, 59, 65, 69, 73, 79, 85, 89, 93, 97, 103, 109, 113, 119, 123, 127, 131, 137, 141 ]
null
A012633_aug
[ 1, 0, -12, 360, -9968, -20160, 62513088, -11126763648, 1288066390272, 19652873951232, -83472832434404350, 36956701107235770000, -9.713959158890294e+21, -3.409353403961625e+23 ]
null
A350573_aug
[ 1, 0, 3, 2, 7, 6, 12, 11, 22, 21, 24, 23, 41, 31, 62, 43, 146, 145, 152, 149, 2627, 2626, 8463, 4370, 13562, 8466, 42320, 20841, 46609, 43171, 48150, 47749, 55179, 52723, 55181, 55180 ]
null
A213613_aug
[ 2, 4, 0, 0, 4, 1, 0, 3 ]
null
A297675_aug
[ 3, 12, 24, 39, 57, 78, 102, 129, 159, 192, 228, 267, 309, 354, 402, 453, 507, 564, 624, 687, 753, 822, 894, 969, 1047, 1128, 1212, 1299, 1389, 1482, 1578, 1677, 1779, 1884, 1992, 2103, 2217, 2334, 2454, 2577, 2703, 2832, 2964, 309...
null
A172460_aug
[ 125, -253, 496, -752, 1095, -1607, 2232, -2961, 3985, -5014, 6229, -7479, 8759, -10090, 11459, -12917, 14453, -16134, 17835, -19550, 21342, -23191, 25066, -27114, 29301, -31498, 33707, -36108, 38668, -41477, 44602, -48083, 51667, -55312, 59033, -...
null
A296557_aug
[ 1, 6, 16, 36, 71, 131, 232, 399, 673, 1120, 1847, 3027, 4940, 8039, 13057, 21181, 34330, 55610, 90046, 145769, 235935, 381831, 617900, 999872, 1617920, 2617947, 4236029, 6854145, 11090350, 17944679, 29035221, 46980100, 76015529, 122995845, 19901159...
null
A132810_aug
[ 3, 8, 15, 36, 395, 72, 119, 240, 2349, 300, 539, 276, 923, 714, 435, 496, 629, 702, 2375, 1120, 1995, 1144, 3979, 3192, 3925, 2938, 9531, 1960, 10063, 2670, 3441, 4448, 5907, 6358, 9835, 4464, 5069, 3610, 13533, 4000, 6273, 4410, 21...
null
A036660_aug
[ 3889, 6857, 15391, 22559, 40279, 80771, 101903, 173573, 239569, 283333, 373515, 538327, 747005, 841013, 1119911, 1344817, 1483731 ]
null
A140124_aug
[ 1, 20, 243, 3104, 46625, 823500, 16777159, 387420416, 9999999909, 285311670500, 8916100448123, 302875106592096, 11112006825557832, 437893890380859140, 18446744073709552000, 827240261886336800000, 3.934640807529654e+22 ]
null
A020846_aug
[ 2, 6, 2, 0, 1, 1, 7, 6, 2, 1, 1, 1, 5, 2, 0, 3, 1, 2, 2, 4, 4, 3, 2, 7, 3, 5, 5, 3, 2, 1, 1, 2, 3, 5, 5, 4, 5, 4, 5, 7, 3, 5, 2, 0, 1, 6, 5, 0, 2, 1 ]
null
A136542_aug
[ -171, -174, -1791, -4926, -17991, -17994, -155154, -480126, -1669314, -1799991, -17999994, -47432316, -179999991, -179999994, -480000000126 ]
null
A374483_aug
[ -1, 0, -6, -3, -8, -7, -13, -10, -19, -15, -22, -20, -27, -24, -32, -30, -36, -34, -41, -39, -46, -45, -52, -50, -61, -55, -68, -67, -71, -70, -79, -74, -86, -82, -90, -87, -98, -94, -105, -103, -108, -106, -117, -111, -126, -...
null
A081483_aug
[ 2, -5, 14, -207, 21517, -463002621, 107185713757914800, -1.1488777233793646e+34, 6.599600116386759e+67 ]
null
A301206_aug
[ 1, 4, 10, 19, 35, 57, 84, 113, 147, 179, 229, 289, 337, 398, 447, 509, 610, 700, 760, 816, 912, 1046, 1159, 1249, 1319, 1464, 1574, 1718, 1872, 1951, 2084, 2261, 2440, 2533, 2689, 2856, 3027, 3298, 3390, 3498, 3752, 3974, 4163, 43...
null
A322931
[ 3, 7, 5, 0, 7, 3, 0, 1, 7, 1, 7, 6, 4, 2, 3, 6, 7, 7, 7, 0, 3, 1, 2, 0, 1, 7, 2, 6, 1, 2, 5, 4, 1, 1, 1, 2, 3, 5, 5, 2, 3, 5, 4, 7, 3, 6, 0, 0, 3, 4, 7, 1, 3, 3, 6, 4, 6, 0, 0, 4, 4, 6, 0, 5...
[ "nonn", "base", "easy" ]
A121599_aug
[ 4, 4, 8, 8, 16, 8, 24, 8, 28, 12, 40, 16, 48, 16, 44, 20, 64, 24, 72, 24, 56, 24, 88, 24, 88, 24, 68, 28, 112, 32, 120, 32, 88, 32, 124, 36, 144, 40, 104, 40, 160, 40, 168, 40, 124, 44, 184, 48, 172, 52, 144, 56, ...
null
A129499_aug
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null
A230539_aug
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null
A021161_aug
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null
A057138_aug
[ -9, 8, 12, -312, 4312, -54312, 654312, -7654312, 87654312, -987654312, 987654312, -10987654312, 210987654312, -3210987654312, 43210987654312, -543210987654312, 6543210987654312, -76543210987654300, 876543210987654300 ]
null
A039019_aug
[ 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 7, 1, 1, 2, 5, 3, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 7, 1, 1, 2, 5, 3, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 7, 1, 1, 2, 5, 3, 1, 1, 2, 2, 1, 1...
null
A224971_aug
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null
A026559_aug
[ -9, 35, 2930, 207681, 15319385, 1158988131, 89173404130, 6943928981849, 545605497876390, 43170264470594290 ]
null
A282217_aug
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null
A175892_aug
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null
A019416_aug
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null
A007034_aug
[ 0, 0, 0, 0, 0, 0, 4, 12, 44, 184, 856, 4852, 30212, 202744, 1423828, 10349336 ]
null
A302045_aug
[ 0, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 3, 1, 1, 3, 2, 1, 1, 2, 1, 1, 1, 5, 2, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 2, 4, 1, 1, 4, 2, 1, 1, 2, 1, 1, 3, 3, 2, 1, 1, 2, 1, 1, 1, 6...
null
A047107_aug
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null
A155076_aug
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null
A276166_aug
[ 0, 2, 7, 14, 25, 38, 54, 73, 97, 124, 154, 187, 224, 264, 308, 355, 408, 465, 525, 589, 657, 729, 805, 884, 968, 1055, 1146, 1241, 1341, 1444, 1551, 1662, 1780, 1903, 2030, 2162, 2298, 2439, 2584, 2733, 2887, 3045, 3208, 3375 ]
null
A234210_aug
[ -236, -940, -4096, -16544, -71872, -291776, -1266176, -5149696, -22338560, -90913792, -394313728, -1605165056, -6961610752, -28341616640, -122915520512, -500420313088, -2170272088064, -8835826450432, -38319991816192, -156012759744512 ]
null
A343708_aug
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null
A235249_aug
[ 1, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0 ]
null
A154171_aug
[ 7, 12, 18, 21, 21, 25, 26, 35, 40, 45, 46, 52, 56, 56, 57, 57, 63, 65, 71, 72, 80, 81, 84, 85, 87, 89, 94, 95, 101, 101, 101, 102, 102, 111, 111, 120, 126, 134, 134, 134, 137, 137, 144, 146, 148, 153, 160, 168, 168, 17...
null
A181865_aug
[ 10, 20, 90, 20810, 900043305610, 2.081000000000008e+37 ]
null
A026035
[ 2, 5, 12, 22, 38, 59, 88, 124, 170, 225, 292, 370, 462, 567, 688, 824, 978, 1149, 1340, 1550, 1782, 2035, 2312, 2612, 2938, 3289, 3668, 4074, 4510, 4975, 5472, 6000, 6562, 7157, 7788, 8454, 9158, 9899, 10680, 11500, 12362, 13265, 14...
[ "nonn", "easy" ]
A130782_aug
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null
A195353_aug
[ 1, 7, 8, 7, 7, 1, 7, 5, 1, 4, 2, 4, 8, 4, 7, 1, 1, 1, 7, 5 ]
null
A329442_aug
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null
A079885_aug
[ 0, -4, -29, -185, -1314, -10534, -94839, -948427, -10432748, -125193032, -1627509489, -22785132925 ]
null
A051804_aug
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null
A366504_aug
[ 12, 3, 177024, 220, 744530715169 ]
null
A051350_aug
[ 0, 11, 29, 43, 61, 74, 98, 116, 137, 169, 187, 218, 242, 268, 304, 327, 360 ]
null
A196001_aug
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null
A319805_aug
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null
A175815_aug
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null
A040011_aug
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null
A340711_aug
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null
A384770_aug
[ 10, 11, 10, 10, 12, 11, 11, 13, 12, 10, 14, 13, 11, 10, 12, 12, 11, 13, 10, 15, 14, 11, 16, 15, 10, 13, 12, 14, 14, 13, 15, 10, 12, 17, 16, 11, 18, 17, 12, 10, 15, 14, 16, 11, 13, 17, 12, 14, 10, 19, 18, 13, 11, ...
null
A063362_aug
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null
A312931_aug
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null
A004907_aug
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null
A234893_aug
[ 0, 4, 4, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 16, 16 ]
null
A126837_aug
[ 1, 25, 7, 47, 28, 28, 14, 4, 37, 14, 22, 35, 21, 7, 0, 31, 28, 43, 0, 42, 0, 11, 46, 28, 32, 35, 28, 21, 23, 0, 0, 31, 7, 14, 0, 24, 46, 0, 0, 14, 14, 0, 37, 5, 7, 23, 42, 21, 0, 16, 0, 7, 36, 14, 28, 7, ...
null
A157652_aug
[ 14040, 6040, 30040, 22040, 46040, 38040, 62040, 54040, 78040, 70040, 94040, 86040, 110040, 102040, 126040, 118040, 142040, 134040, 158040, 150040, 174040, 166040, 190040, 182040, 206040, 198040, 222040, 214040, 238040, 230040, 254040, 246040 ]
null
A211158_aug
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null
A307422_aug
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null
A344425_aug
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null
A147825_aug
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null