Datasets:
N8Programs
/
oeis-enhanced

Dataset card Data Studio Files
xet
Community
1
id
stringlengths
7
11
seq
listlengths
1
347
keywords
listlengths
1
8
⌀
A332416
[ 1, 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 46, 47, 48, 50, 51, 52, 53, 54, 55, 56, 57, 58, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 78, 79 ]
[ "nonn" ]
A218918
[ 1, 1, 1, 5, 39, 192, 1717, 13946, 243391, 2693043, 38343715, 545787051, 15787210045, 268796141406 ]
[ "nonn", "more" ]
A225262
[ 6, 36, 117, 269, 534, 910, 1466, 2180, 3125, 4298, 5773, 7469, 9607, 12010, 14818, 18033, 21770, 25863, 30605, 35694, 41497, 47791, 54786, 62214, 70646, 79612, 89300, 99767, 111133, 123000, 136163, 149904, 164760, 180414, 197067, 214527, 233520 ]
[ "nonn" ]
A155523
[ 1, 2, 4, 9, 3, 1, 7, 3, 9, 4, 1, 0, 7, 0, 1, 5, 3, 5, 6, 6, 7, 2, 3, 2, 2, 6, 5, 2, 7, 1, 9, 5, 2, 3, 9, 5, 5, 8, 6, 7, 5, 7, 4, 9, 3, 4, 3, 8, 4, 3, 9, 9, 8, 7, 6, 8, 4, 9, 5, 9, 2, 7, 5, 5, 4, 7, 0, 6, 1, 0, 0, 3, 2, 7, 6, 5, 3, 2, 0, 5, 7, 5, 0, 8, 5, 8, 8, 1, 2, 9, 7, 7, 0, 6, 8, 1, 1, 4, 1 ]
[ "nonn", "cons" ]
A174365
[ 2, 17, 101, 191, 647, 733, 2677, 4133, 4231, 6869, 8111, 15383, 15607, 16273, 17761, 18583, 23719, 24923, 30497, 30881, 32503, 33829, 42719, 43103, 44797, 47581, 50321, 56249, 56591, 56857, 56941, 60757, 70327, 70381, 77977, 81919, 84947 ]
[ "nonn", "easy" ]
A271568
[ 10, 14, 15, 21, 26, 33, 35, 38, 39, 51, 62, 65, 69, 77, 86, 91, 93, 95, 111, 122, 123, 129, 133, 146, 159, 161, 201, 203, 206, 209, 213, 215, 217, 218, 221, 249, 278, 287, 291, 299, 301, 302, 303, 305, 321, 335, 339, 362, 371, 381, 386, 395, 398, 403 ]
[ "nonn" ]
A352705
[ 1, 1, -3, 13, -65, 351, -1989, 11650, -69900, 427167, -2648438, 16612947, -105215448, 671760933, -4318468134, 27926126553, -181520036178, 1185220461867, -7769787812787, 51117085998498, -337373170647840, 2233091755252871, -14819626692452232, 98582852467595840 ]
[ "sign" ]
A013393
[ 3, 23, 721, 47879, 4585141, 647541971, 125142649633, 31683946165871, 10177278274781100, 4042622917874613000, 1.9454279182141156e+21, 1.1151915895963558e+24, 7.507963643775425e+26 ]
[ "nonn" ]
A283782
[ 0, 564, 43793, 2343698, 109281786, 4572654404, 179632502674, 6737192690688, 244126676935480, 8613145295952112, 297460336039982850, 10094963044660988000, 337635823136300860000, 1.115395558247396e+22 ]
[ "nonn" ]
A097495
[ 1, 1, 1, 3, 11, 83, 1217, 22833, 1249441, 68570323, 11548470571, 2279343327171, 979023970244321, 771025645214210800, 816154448855663200000, 2.4370524033207313e+24, 7.362326966302541e+27 ]
[ "nonn" ]
A271145
[ 2, 14, 482, 6346 ]
[ "nonn", "more" ]
A083670
[ 1, 2, 7, 44, 558, 16926, 1319358, 269695440, 146202099255, 212360894456310, 834625722216941700, 8.954592469138636e+21, 2.643058348994954e+26, 2.1607243912704796e+31, 4.921054357098032e+36 ]
[ "easy", "nonn" ]
A202201
[ 2430, 11880, 44550, 138996, 378378, 926640, 2084940, 4375800, 8664084, 16325712, 29476980, 51279480, 86337900, 141210432, 225054126, 350430300, 534298050, 799227000, 1174863690, 1699689420, 2423110950, 3407929200, 4733235000 ]
[ "nonn" ]
A107869
[ 1, 3, 15, 120, 1365, 20349, 376740, 8347680, 215553195, 6358402050, 210980549208, 7778680504140, 315502265971620, 13961746143269400, 669413654240461600, 34569147570568155000, 1.9129240038846287e+21, 1.1292328206771333e+23 ]
[ "nonn" ]
A088089
[ 11, 113, 11321, 11321147, 113211471029, 113211471029103940, 1.1321147102910394e+23, 1.1321147102910392e+29, 1.1321147102910392e+35, 1.1321147102910393e+42 ]
[ "base", "nonn" ]
A285910
[ 1, 10, 11, 1110, 101, 111100, 1100, 11111000, 10111, 1111111010, 110101, 111111100000, 1010000, 11111111101100, 11000111, 1111111110011100, 101110111, 111111111111000110, 1101111011, 11111111111011110000, 10110001101, 1.1111111111111001e+21, 110111101100 ]
[ "nonn", "easy" ]
A176013
[ -1, 2, 1, -6, -9, -1, 24, 72, 24, 1, -120, -600, -400, -50, -1, 720, 5400, 6000, 1500, 90, 1, -5040, -52920, -88200, -36750, -4410, -147, -1, 40320, 564480, 1317120, 823200, 164640, 10976, 224, 1, -362880, -6531840, -20321280, -17781120, -5334336, -592704, -24192, -324, -1 ]
[ "sign", "tabl", "easy", "less" ]
A149306
[ 1, 1, 4, 11, 48, 157, 711, 2559, 11846, 45183, 212143, 840277, 3984616, 16205687, 77410374, 321065635, 1542228908, 6494244945, 31332380867, 133546094665, 646603376846, 2783426236771, 13516256002852, 58666741189805, 285582656349044, 1248296193322585, 6089197321956135, 26777517944746804 ]
[ "nonn", "walk" ]
A222748
[ 1, 16, 65, 45, -116, 340, -1240, 5480, -28464, 169248, -1125840, 8197680, -63806016, 514314240, -4058967744, 26952984000, -37203513984, -4251686488704, 140692872720384, -3560137793538048, 84004474130786300, -1955196907518929000, 45927815909901010000 ]
[ "sign" ]
A319452
[ 0, 3, 6, 10, 12, 15, 18, 22, 24, 27, 30, 34, 36, 39, 42, 46, 48, 51, 54, 58, 60, 63, 66, 70, 72, 75, 78, 82, 84, 87, 90, 94, 96, 99, 102, 106, 108, 111, 114, 118, 120, 123, 126, 130, 132, 135, 138, 142, 144, 147, 150, 154, 156, 159, 162, 166, 168, 171, 174, 178 ]
[ "nonn", "easy" ]
A305385
[ 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1 ]
[ "nonn" ]
A017088
[ 1, 282429536481, 582622237229761, 59604644775390620, 1667889514952985000, 22563490300366184000, 191581231380566400000, 1.1762462939034397e+21, 5.688009063105713e+21, 2.290204804649026e+22, 7.976644307687251e+22 ]
[ "nonn", "easy", "changed" ]
A336792
[ 3, 19, 43, 67, 139, 211, 331, 379, 571, 739, 859, 1051, 1291, 1531, 1579, 1699, 2011, 2731, 3019, 3259, 3691, 3931, 5419, 5659, 5779, 6211, 6379, 6451, 8779, 9619, 10651, 16699, 17851, 18379, 21739, 25939, 32971, 42331, 42571, 44851, 50131, 53299, 55819, 56611, 60811, 61051, 73459, 76651, 90619, 90931 ]
[ "nonn" ]
A272553
[ 20, 464, 650, 2744, 3980, 5504, 5736, 5922, 7032, 8130, 10472, 18618, 24312, 27654, 38874, 39500, 43032, 45492, 56870, 64410, 71058, 79068, 85158, 89178, 92130, 97014, 109928, 117114, 118902, 127688, 130304, 175554, 180438, 187304, 188292, 208452, 224058, 244674, 249788, 269192, 294380, 305624, 347964 ]
[ "nonn" ]
A106485
[ 0, 2, 1, 3, 32, 34, 33, 35, 16, 18, 17, 19, 48, 50, 49, 51, 8, 10, 9, 11, 40, 42, 41, 43, 24, 26, 25, 27, 56, 58, 57, 59, 4, 6, 5, 7, 36, 38, 37, 39, 20, 22, 21, 23, 52, 54, 53, 55, 12, 14, 13, 15, 44, 46, 45, 47, 28, 30, 29, 31, 60, 62, 61, 63, 128, 130, 129, 131, 160, 162 ]
[ "nonn" ]
A040749
[ 27, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1 ]
[ "nonn", "cofr", "easy", "mult" ]
A260354
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 18, 28, 29, 41, 69, 94, 151, 189, 276, 277, 290, 367, 497, 578, 579, 580, 617, 618, 619, 620, 744, 810, 887, 903, 939, 1048, 1049, 1108, 1124, 1125, 1172, 1303, 1304, 1305, 1399, 1420, 1449, 1614, 1761, 1790, 1838, 1861, 1865, 1971 ]
[ "nonn", "easy" ]
A212497
[ 4, 1, 2, 3, 4, 1, 2, 4, 3, 1, 2, 4 ]
[ "nonn", "fini", "full" ]
A322517
[ 13, 1.3579135791357913e+21, 1.3579135791357913e+81 ]
[ "nonn", "base" ]
A050742
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 37, 38, 39, 41, 43, 44, 47, 51, 52, 54, 56, 57, 59, 62, 65, 66, 69, 72, 73, 75, 76, 79, 83, 84, 85, 86, 87, 88, 89, 91, 93, 94, 95, 97, 101, 102, 103, 108, 109, 111 ]
[ "nonn", "base" ]
A016148
[ 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 1, 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 1, -1, 1, 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1 ]
[ "sign" ]
A065656
[ 1169, 7777, 41111, 46097, 668167, 846817, 2107519, 3612769, 17424241, 30666527, 37526993, 56323393, 214746055, 383523857, 512376769, 1021934641, 1228492849, 1303949599, 4056001351, 7425397169, 17073544447, 17859428369, 18452226887, 46874737969, 51411954391 ]
[ "nonn" ]
A137393
[ 1, -4, 2, 16, -20, 4, -48, 160, -72, 8, -96, -1120, 944, -224, 16, 3840, 6208, -10880, 4320, -640, 32, -46080, -12672, 115456, -72000, 16960, -1728, 64, 322560, -294912, -1146880, 1121792, -380800, 60032, -4480, 128, 645120, 4663296, 11223040, -17110016, 7933184, -1734656, 197120, -11264, 256 ]
[ "uned", "tabl", "sign" ]
A312077
[ 1, 4, 8, 13, 18, 22, 26, 31, 36, 40, 44, 48, 52, 57, 62, 66, 70, 75, 80, 84, 88, 92, 96, 101, 106, 110, 114, 119, 124, 128, 132, 136, 140, 145, 150, 154, 158, 163, 168, 172, 176, 180, 184, 189, 194, 198, 202, 207, 212, 216 ]
[ "nonn" ]
A294722
[ 5, 31, 167, 100511 ]
[ "nonn", "more" ]
A134105
[ -6, -2, 3, 4, 12, 34, 48, 1362, 93844 ]
[ "sign", "fini", "full" ]
A271167
[ 4, 4, 23, -19, 91, -79, 167, -143, 267, -275, 399, -331, 515, -555, 787, -675, 891, -887, 1155, -1131, 1412, -1373, 1693, -1605, 1981, -2029, 2313, -2161, 2665, -2732, 3128, -2933, 3313, -3213, 3653, -3632, 4115, -4099, 4771, -4523, 4991, -5115, 5759, -5623 ]
[ "sign", "easy" ]
A093547
[ 1, 2, 4, 8, 10, 16, 20, 32, 40, 50, 64, 68, 80, 100, 110, 128, 136, 160, 164, 200, 220, 250, 256, 272, 320, 328, 340, 400, 440, 500, 512, 544, 550, 610, 640, 656, 680, 772, 800, 820, 880, 1000, 1010, 1024, 1088, 1100, 1156, 1210, 1220, 1250, 1280, 1312, 1360 ]
[ "nonn" ]
A082113
[ 1, 7, 37, 127, 337, 751, 1477, 2647, 4417, 6967, 10501, 15247, 21457, 29407, 39397, 51751, 66817, 84967, 106597, 132127, 162001, 196687, 236677, 282487, 334657, 393751, 460357, 535087, 618577, 711487, 814501, 928327, 1053697, 1191367 ]
[ "easy", "nonn" ]
A364882
[ 1, 1, 2, 3, 3, 3, 3, 4, 6, 6, 7, 7, 7, 7, 7, 7, 9, 9, 9, 11, 11, 11, 14, 15, 15, 15, 15, 17, 18, 18, 18, 19, 19, 25, 25, 25, 25, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 40, 40 ]
[ "nonn" ]
A039490
[ 97, 107, 218, 228, 339, 349, 460, 470, 581, 591, 702, 712, 823, 833, 944, 954, 977, 988, 999, 1010, 1021, 1032, 1043, 1054, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1077, 1087, 1097, 1108, 1119, 1130, 1141, 1152, 1163, 1174, 1177, 1178 ]
[ "nonn", "base", "easy" ]
A280620
[ 1, 0, 1, 4, 1, 100, 161, 1764, 22001, 49700, 1649921, 10057124, 105372001, 2044251300, 12879413281, 315936586084, 3892292034001, 49987743460900, 1185027040858241, 13878406361764644, 321536491629592000, 6033371812540111000, 100320731761080170000, 2.6572535245113634e+21, 4.717089086319341e+22, 1.15560267448493e+24, 2.8284869824153626e+25 ]
[ "nonn" ]
A061094
[ 3, 4, 7, 8, 9, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77 ]
[ "nonn", "easy" ]
A111935
[ 1, 3, 11, 25, 137, 49, 363, 761, 789, 8959, 27647, 368651, 377231, 128413, 261831, 4531207, 41461543, 8414831, 8531519, 8642903, 201237217, 203585563, 5145999379, 5200191979, 15757132337, 15908097437, 16048998197, 501745966907 ]
[ "nonn", "base", "frac" ]
A386118
[ 3, 11, 13, 19, 31, 83, 89, 113, 131, 139, 181, 191, 193, 199, 311, 313, 331, 383, 389, 811, 839, 881, 883, 911, 919, 983, 991, 1181, 1193, 1319, 1381, 1399, 1811, 1831, 1889, 1913, 1931, 1933, 1993, 1999, 3119, 3181, 3191, 3313, 3319, 3331, 3389, 3391, 3833, 3881 ]
[ "nonn", "base", "easy" ]
A327838
[ 1, 2, 5, 2, 7, 0, 7, 7, 8, 5, 3, 7, 5, 4, 4, 6, 1, 2, 6, 0, 5, 3, 7, 5, 0, 7, 5, 1, 9, 3, 4, 2, 8, 3, 0, 6, 0, 4, 3, 9, 2, 3, 7, 9, 6, 7, 1, 0, 8, 9, 1, 5, 3, 7, 3, 7, 4, 4, 8, 4, 9, 5, 1, 4, 0, 2, 9, 5, 7, 8, 3, 4, 3, 8, 6, 5, 4, 4, 2, 8, 6, 5, 0, 9, 5, 3, 7 ]
[ "nonn", "cons" ]
A310665
[ 1, 4, 6, 9, 10, 15, 15, 18, 24, 30, 31, 31, 36, 37, 40, 35, 46, 53, 58, 55, 63, 62, 60, 64, 62, 74, 75, 87, 83, 93, 84, 87, 90, 88, 99, 99, 118, 110, 121, 105, 115, 118, 114, 120, 127, 151, 134, 146, 131, 144 ]
[ "nonn" ]
A313525
[ 1, 5, 10, 14, 18, 24, 30, 34, 38, 43, 48, 53, 58, 62, 66, 72, 78, 82, 86, 91, 96, 101, 106, 110, 114, 120, 126, 130, 134, 139, 144, 149, 154, 158, 162, 168, 174, 178, 182, 187, 192, 197, 202, 206, 210, 216, 222, 226, 230, 235 ]
[ "nonn" ]
A313037
[ 1, 4, 9, 14, 18, 22, 29, 33, 38, 42, 49, 51, 57, 60, 68, 70, 77, 79, 88, 89, 96, 97, 107, 107, 116, 116, 127, 126, 136, 134, 146, 144, 155, 153, 166, 163, 175, 172, 185, 181, 194, 190, 205, 200, 214, 209, 225, 218, 233, 227 ]
[ "nonn" ]
A113797
[ 48, 100, 147, 3468, 10000, 10101, 13467, 16128, 34188, 140400, 190476, 216513, 300625, 334668, 416768, 484848, 530901, 1000000, 1010100, 1016127, 1034187, 1140399, 1190475, 1216512, 1300624, 1334667, 1416767, 1484847, 1530900 ]
[ "base", "nonn" ]
A284605
[ 1, 1, 2, 5, 36, 1477, 480733, 1626159677, 71503454739706, 49130011692806190000, 6.169835818327325e+26 ]
[ "nonn", "more" ]
A256508
[ 1, 4, 6, 2, 10, 9, 14, 12, 3, 15, 22, 8, 26, 21, 20, 18, 34, 16, 38, 25, 28, 33, 46, 27, 5, 39, 30, 35, 58, 24, 62, 36, 44, 51, 42, 32, 74, 57, 52, 45, 82, 49, 86, 55, 50, 69, 94, 54, 7, 60, 68, 65, 106, 48, 66, 63, 76, 87, 118, 70, 122, 93, 77, 72, 78, 88 ]
[ "nonn", "nice" ]
A194958
[ 1, 1, 5, 36, 409, 6280, 121501, 2839424, 77834737, 2449360512, 87040440181, 3447798906112, 150645874207753, 7197909122453504, 373365727806824800, 20895734364795187000, 1.2550623151346515e+21, 8.05281112913136e+22, 5.497183726333879e+24 ]
[ "nonn" ]
A166996
[ 2, 2, 88, 1028, 289184, 22451552, 112890141568, 50093449805856, 6676830881369059000, 1.5354513520142236e+22, 6.662088806738233e+28, 7.502037186111213e+32 ]
[ "nonn" ]
A272434
[ 1, 1, 1, 7, 9, 31, 403, 757, 2873, 12607, 333051, 761377, 3699435, 16383121, 108710085, 4855474267, 13594184793, 76375572751, 388660153867, 2504206435681, 20148774553859, 1556349601444477, 5050276538344665, 33326552998257030, 186169293932977120, 1305062351972825300, 9600936552132049000, 106019265737746660000, 1.2708226588208611e+22, 9.813787758888067e+22 ]
[ "nonn" ]
A077805
[ 1, 2, 11, 2, 101, 2, 3, 2, 7, 2, 3, 2, 3, 2, 11, 2, 73, 2, 3, 2, 3, 2, 10111, 2, 3, 2, 7, 2, 17, 2, 41, 2, 11, 2, 3, 2, 3, 2, 11, 2, 3, 2, 83, 2, 7, 2, 101111, 2, 3, 2, 11, 2, 23, 2, 149, 2, 11, 2, 31, 2, 241, 2, 3, 2, 101, 2, 3, 2, 3, 2, 7, 2, 3, 2, 11, 2, 971, 2, 181, 2, 3, 2, 31, 2, 73, 2 ]
[ "nonn", "base" ]
A218005
[ 6, 14, 15, 33, 57, 185, 237, 247, 291, 327, 403 ]
[ "nonn", "base", "obsc", "more" ]
A016215
[ 1, 14, 153, 1570, 15821, 158574, 1586833, 15871610, 158725941, 1587288934, 15872977913, 158730044850, 1587301245661, 15873014848094, 158730155655393, 1587301578077290, 15873015845342980, 158730158647140060, 1587301587052531200, 15873015872268706000 ]
[ "nonn", "easy" ]
A212279
[ 0, 0, 0, 28, 17, 39, 4, 72, 79, 65, 17, 65, 17, 29, 145, 65, 84, 65, 145, 17, 109, 17, 65, 0, 145, 65, 17, 145, 88, 17, 64, 145, 17, 28, 257, 65, 17, 65, 145, 145, 257, 65, 17, 269, 145, 401, 257, 145, 65, 257, 65, 145, 17, 577, 145, 65, 145, 17, 577, 65, 577 ]
[ "nonn" ]
A184785
[ 1, 1, 1, 3, 6, 14, 34, 83, 205, 516, 1317, 3396, 8848, 23253, 61570, 164094, 439860, 1185086, 3207477, 8716726, 23776459, 65072379, 178637758, 491772915, 1357288318, 3754989329, 10411112464, 28924678247, 80512118330, 224501827180 ]
[ "nonn" ]
A023795
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 28, 29, 42, 43, 44, 56, 57, 58, 59, 70, 71, 72, 73, 74, 84, 85, 86, 87, 88, 89, 98, 99, 100, 101, 102, 103, 104, 112, 113, 114, 115, 116, 117, 118, 119, 126, 127, 128, 129, 130, 131, 132, 133, 134, 140, 141 ]
[ "nonn", "base", "fini", "full", "easy" ]
A300683
[ 0, 3, 53, 2229, 240463, 67479838, 48809162176, 90926518437773, 436444614204907000, 5.400843845781867e+21, 1.7229511566220242e+26 ]
[ "nonn", "more" ]
A005406
[ 1, 3, 6, 13, 25, 49, 91, 170, 309, 558, 992, 1752, 3062, 5317, 9166, 15712, 26784, 45447, 76775, 129203, 216662, 362177, 603671, 1003566, 1664389, 2754382, 4549207, 7500096, 12344840, 20288723, 33298979, 54584077, 89373081, 146182754 ]
[ "nonn" ]
A305779
[ 1, 5, 19, 62, 204, 627, 2006, 6045, 19091, 56804, 177431, 523072, 1618006, 4739853, 14544372, 42440871, 129419597, 376877914, 1143885829, 3328765378, 10068808024, 29308488795, 88433869354, 257651383313, 776063514999, 2264100874960, 6811218232163, 19903182431380 ]
[ "nonn" ]
A155995
[ 1, 0, 9, 9, 5, 3, 1, 1, 6, 6, 4, 2, 0, 3, 2, 8, 6, 1, 1, 8, 3, 9, 2, 1, 0, 4, 1, 2, 2, 7, 6, 3, 0, 7, 6, 5, 4, 4, 2, 0, 4, 4, 4, 8, 2, 5, 0, 4, 7, 6, 7, 6, 4, 1, 4, 9, 4, 6, 6, 1, 2, 2, 5, 1, 7, 8, 7, 2, 8, 2, 2, 6, 4, 3, 5, 7, 9, 7, 3, 8, 6, 2, 1, 2, 6, 6, 3, 9, 1, 0, 3, 7, 0, 0, 3, 5, 2, 8, 1 ]
[ "nonn", "cons" ]
A079514
[ 1, 1, 3, 6, 22, 53, 211, 554, 2306, 6362, 27230, 77580, 338444, 986253, 4362627, 12927170, 57788170, 173452334, 781825066, 2370742868, 10757497972, 32892031042, 150073096238, 462030186916, 2117778107732, 6557906929108, 30176799215196, 93909078262808 ]
[ "nonn" ]
A204008
[ 1, 4, 4, 7, 5, 7, 10, 8, 8, 10, 13, 11, 9, 11, 13, 16, 14, 12, 12, 14, 16, 19, 17, 15, 13, 15, 17, 19, 22, 20, 18, 16, 16, 18, 20, 22, 25, 23, 21, 19, 17, 19, 21, 23, 25, 28, 26, 24, 22, 20, 20, 22, 24, 26, 28, 31, 29, 27, 25, 23, 21, 23, 25, 27, 29, 31, 34, 32, 30 ]
[ "nonn", "tabl" ]
A162038
[ 2, 5, 17, 86, 612, 5468, 62853, 856193, 13518083, 243899329, 4944615404, 111381110541, 2765327931184, 75061918010044 ]
[ "nonn" ]
A075671
[ 1, 60073, 71280377, 14843001474, 1091618326275, 39736919990851, 870012241054523, 12967387960026452, 143075291905145950, 1240006139651008000, 8817026830146600000, 53151169903167140000, 278615540073819830000, 1.2956106295964853e+21, 5.430916505417064e+21 ]
[ "nonn", "easy" ]
A116746
[ 1, 2, 6, 21, 75, 262, 890, 2949, 9575, 30590, 96486, 301269, 933171, 2872102, 8794946, 26822901, 81539855, 247232702, 748061070, 2259653349, 6816525435, 20540701510, 61842968906, 186063857829, 559486534391, 1681592864702 ]
[ "nonn", "easy" ]
A355029
[ 0, 1, 2, 2, 3, 4, 3, 5, 6, 3, 4, 7, 4, 8, 5, 9, 10, 4, 5, 6, 11, 12, 7, 13, 6, 14, 4, 5, 6, 8, 15, 16, 5, 7, 9, 17, 18, 6, 7, 10, 19, 8, 20, 11, 21, 22, 5, 6, 7, 8, 9, 12, 23, 8, 24, 13, 25, 6, 10, 26, 8, 9, 14, 27, 28, 7, 9, 11, 15, 29, 30, 5, 6, 7, 9, 10, 16, 31 ]
[ "nonn", "tabf" ]
A040669
[ 26, 2, 1, 1, 1, 1, 1, 2, 52, 2, 1, 1, 1, 1, 1, 2, 52, 2, 1, 1, 1, 1, 1, 2, 52, 2, 1, 1, 1, 1, 1, 2, 52, 2, 1, 1, 1, 1, 1, 2, 52, 2, 1, 1, 1, 1, 1, 2, 52, 2, 1, 1, 1, 1, 1, 2, 52, 2, 1, 1, 1, 1, 1, 2, 52, 2, 1, 1, 1, 1, 1, 2, 52, 2, 1, 1, 1, 1, 1, 2, 52, 2, 1, 1, 1, 1, 1, 2 ]
[ "nonn", "cofr", "easy" ]
A321858
[ 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1 ]
[ "sign" ]
A299049
[ 8, 50, 79, 1650, 9994, 82340, 953445, 8956381, 86708195, 930107134, 9283822089, 93868491793, 972801539169, 9876709646807, 100715230941566, 1033318335538221, 10540518267901856, 107677643657416900, 1101639196235269000 ]
[ "nonn" ]
A121963
[ 0, 1, 2, 7, 23, 53, 182, 599, 1380, 4739, 15597, 35933, 123396, 406121, 935638, 3213035, 10574743, 24362521, 83662306, 275349439, 634361184, 2178432991, 7169660157, 16517753305, 56722920072, 186686513521, 430095947114 ]
[ "nonn", "easy" ]
A116808
[ 1, 2, 6, 21, 71, 213, 569, 1389, 3175, 6927, 14632, 30238, 61596, 124335, 249598, 499492, 997953, 1992420, 3977093, 7939304, 15852025, 31658506, 63240940, 126356805, 252509950, 504690182, 1008848258, 2016839103, 4032297299 ]
[ "nonn", "easy" ]
A304782
[ 1, 2, 5, 19, 49, 126, 469, 1177, 2881, 6481, 23101, 53725, 127153, 274288, 581925, 1860751, 4155649, 9279791, 19409221, 39839239, 77052401, 229393207, 481747949, 1035561408, 2082441025, 4153434376, 7822058869, 14686515649, 39394280689, 79657493191, 163600884901 ]
[ "nonn" ]
A148336
[ 1, 1, 2, 5, 14, 44, 152, 538, 1995, 7662, 29940, 120398, 491459, 2038747, 8581283, 36510595, 157045874, 681735158, 2982964821, 13151583858, 58359139202, 260520699938, 1169379642893, 5274592297251, 23900749201570, 108751720395298, 496735253829031, 2276991119469184, 10471775432100044 ]
[ "nonn", "walk" ]
A060762
[ 2, 4, 3, 5, 4, 6, 5, 7, 6, 8, 7, 9, 8, 10, 9, 11, 10, 12, 11, 13, 12, 14, 13, 15, 14, 16, 15, 17, 16, 18, 17, 19, 18, 20, 19, 21, 20, 22, 21, 23, 22, 24, 23, 25, 24, 26, 25, 27, 26, 28, 27, 29, 28, 30, 29, 31, 30, 32, 31, 33, 32, 34, 33, 35, 34, 36, 35, 37, 36, 38, 37, 39, 38, 40 ]
[ "nonn", "easy" ]
A019851
[ 6, 6, 9, 1, 3, 0, 6, 0, 6, 3, 5, 8, 8, 5, 8, 2, 1, 3, 8, 2, 6, 2, 7, 3, 3, 3, 0, 6, 8, 6, 7, 8, 0, 4, 7, 3, 5, 9, 9, 5, 8, 3, 2, 1, 8, 9, 5, 9, 7, 9, 5, 6, 7, 6, 8, 1, 7, 4, 5, 3, 3, 5, 2, 2, 8, 7, 9, 6, 6, 6, 0, 1, 7, 1, 0, 6, 4, 3, 8, 9, 7, 1, 4, 6, 1, 5, 4, 9, 2, 3, 3, 6, 0, 0, 9, 0, 0, 6, 7 ]
[ "nonn", "cons", "easy", "changed" ]
A274840
[ 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 8, 17, 34, 65, 120, 215, 374, 629, 1641, 3919, 8849, 19241, 40707, 84203, 170229, 503902, 1407019, 3746718, 9600121, 23815820, 57408783, 134592586, 440661179, 1383544922, 4206645985, 12456581554, 36012285385 ]
[ "nonn" ]
A285896
[ 1, 3, 4, 7, 5, 12, 8, 15, 13, 15, 12, 28, 14, 24, 20, 31, 18, 39, 20, 35, 32, 36, 24, 60, 25, 42, 40, 56, 30, 60, 32, 63, 48, 54, 40, 91, 38, 60, 56, 75, 42, 96, 44, 84, 65, 72, 48, 124, 57, 75, 72, 98, 54, 120, 60, 120, 80, 90, 60, 140, 62, 96, 104, 127, 70, 144 ]
[ "nonn", "mult" ]
A316126
[ 2, 45, 197, 1112, 6562, 36480, 204465, 1170851, 6622412, 37527145, 213051804, 1207987372, 6850738403, 38858760572, 220384969476, 1249936673191, 7089251093164, 40207467076807, 228041955210057, 1293371442017860 ]
[ "nonn" ]
A031026
[ 1, 7, 2, 9, 3, 11, 4, 58, 6, 1, 8, 65, 10, 68, 7, 71, 14, 74, 16, 77, 18, 63, 15, 83, 22, 2, 24, 89, 9, 92, 23, 95, 30, 98, 32, 3, 34, 17, 36, 31, 38, 110, 40, 11, 42, 25, 44, 39, 46, 4, 49, 531, 52, 559, 55, 506, 58, 604, 61, 608, 64, 612, 67, 6 ]
[ "nonn" ]
A331415
[ 0, 1, 1, 2, 2, 2, 3, 3, 2, 3, 6, 3, 7, 4, 3, 4, 10, 3, 11, 4, 4, 7, 14, 4, 4, 8, 3, 5, 19, 4, 20, 5, 7, 11, 5, 4, 25, 12, 8, 5, 28, 5, 29, 8, 4, 15, 32, 5, 6, 5, 11, 9, 37, 4, 8, 6, 12, 20, 42, 5, 43, 21, 5, 6, 9, 8, 48, 12, 15, 6, 51, 5, 52, 26, 5, 13, 9, 9 ]
[ "nonn" ]
A265379
[ 1, 111, 11101, 1110011, 111011101, 11100110011, 1110111011101, 111001100110011, 11101110111011100, 1110011001100110000, 111011101110111010000, 1.11001100110011e+22, 1.11011101110111e+24, 1.11001100110011e+26, 1.1101110111011101e+28 ]
[ "nonn", "easy" ]
A030709
[ 1, 1, 2, 3, 5, 6, 8, 9, 12, 15, 17, 18, 22, 24, 27, 30, 34, 36, 39, 42, 46, 48, 52, 57, 61, 65, 68, 71, 73, 77, 81, 84, 88, 92, 95, 99, 105, 108, 111, 114, 119, 124, 126, 130, 136, 142, 147, 150, 155, 158, 164, 167, 175, 180, 185, 189, 193, 197, 202, 207, 211 ]
[ "nonn" ]
A216134
[ 0, 1, 4, 9, 26, 55, 154, 323, 900, 1885, 5248, 10989, 30590, 64051, 178294, 373319, 1039176, 2175865, 6056764, 12681873, 35301410, 73915375, 205751698, 430810379, 1199208780, 2510946901, 6989500984, 14634871029, 40737797126, 85298279275, 237437281774 ]
[ "nonn", "easy" ]
A146855
[ 1, 1, 1, 17, 49, 249, 3481, 80333, 1943801, 59816323, 3493732595, 338685091013, 44460911929907 ]
[ "nonn" ]
A143242
[ 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 1, 0, 0, -1, 0, 1, 0, 0, 1, 1, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ]
[ "sign", "look" ]
A162624
[ 1, 17, 32, 83, 163, 243, 259, 514, 769, 1024, 629, 1253, 1877, 2501, 3125, 1301, 2596, 3891, 5186, 6481, 7776, 2407, 4807, 7207, 9607, 12007, 14407, 16807, 4103, 8198, 12293, 16388, 20483, 24578, 28673, 32768, 6569, 13129, 19689, 26249, 32809 ]
[ "easy", "nonn", "tabl" ]
A008898
[ 84, 42, 21, 62, 31, 92, 46, 23, 68, 34, 17, 50, 25, 74, 37, 110, 55, 164, 82, 41, 122, 61, 182, 91, 272, 136, 68, 34, 17, 50, 25, 74, 37, 110, 55, 164, 82, 41, 122, 61, 182, 91, 272, 136, 68, 34, 17, 50, 25, 74, 37, 110 ]
[ "nonn", "easy" ]
A264222
[ 169, 21997, 1210573, 60472721, 3516298221, 200034582505, 11197485353301, 632314666234720, 35739415858369108, 2017303438188606000, 113909645380691980000, 6.433472548451922e+21, 3.633281902516153e+23 ]
[ "nonn" ]
A138637
[ 5005, 46189, 121330189, 1445140189, 463236778189, 4862973196189, 12359548828189, 18898278256189, 112254342850189, 144149198626189, 1022657400370189, 7924420639216189, 28604961973900188, 59910402098980190 ]
[ "easy", "nonn" ]
A145996
[ 0, 1, 2, 4, 243 ]
[ "nonn" ]
A053586
[ 89888786858483, 2.112102092082072e+38, 593592591590589600000, 1.3271326132513242e+27, 2.3772376237523743e+27, 2.9632962296129603e+27 ]
[ "base", "nonn" ]
A199419
[ 5, 29, 197, 1373, 9605, 67229, 470597, 3294173, 23059205, 161414429, 1129900997, 7909306973, 55365148805, 387556041629, 2712892291397, 18990246039773, 132931722278405, 930522055948829, 6513654391641797, 45595580741492580 ]
[ "nonn", "easy" ]
A156912
[ 1, -17, -60, 11033, 35340, -5897657, -56300580, 53084692201, 168821419980, -51212605971047, -814290036255300, 603883438551408400, 5761078665923973000, -2.52466281965008e+21, -5.6199253474221475e+22, 2.273361826710307e+26, 7.229323370258282e+26 ]
[ "sign", "frac" ]
A316925
[ 1, 2, 2, 3, 5, 3, 5, 9, 9, 5, 8, 21, 13, 21, 8, 13, 57, 31, 31, 57, 13, 21, 125, 81, 137, 81, 125, 21, 34, 289, 184, 594, 594, 184, 289, 34, 55, 741, 492, 2574, 6339, 2574, 492, 741, 55, 89, 1737, 1457, 15118, 40938, 40938, 15118, 1457, 1737, 89, 144, 4045, 4371, 95244 ]
[ "nonn", "tabl" ]
A388710
[ 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 3, 3, 0, 0, 0, 0, 0, 1, 4, 4, 1, 0, 0, 0, 0, 0, 1, 4, 6, 2, 0, 0, 0, 0, 0, 0, 1, 5, 7, 4, 0, 0, 0, 0, 0, 0, 0, 1, 5, 9, 6, 1, 0, 0, 0, 0, 0, 0, 0, 1, 6, 11, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 13, 12, 4, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ "nonn", "tabl" ]