Minimally Complex Sequences  


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2, 1, 2, 8, 14, 17, 22, 32, 42, 49, 58, 72, 86, 97, 110, 128, 146, 161, 178, 200, 222, 241, 262, 288, 314, 337, 362, 392, 422, 449, 478, 512, 546, 577, 610, 648, 686, 721, 758, 800, 842, 881, 922, ...

MCS106896 : A0 = 0; A1 = 2; AK+1 = - AK-1 + K2 (score: 5)

2, 1, 2, -1, 0, -7, -6, -21, -20, -51, -50, -113, -112, -239, -238, -493, -492, -1003, -1002, -2025, -2024, -4071, -4070, -8165, -8164, -16355, -16354, -32737, -32736, -65503, -65502, -131037, ...

MCS429376 (alias MCS6960390) : A0 = 1; A1 = 2; AK+1 = 2 AK-1 - K (score: 4)

2, 1, 2, -1, 10, -43, 266, -1853, 14834, -133495, 1334962, -14684569, 176214842, -2290792931, 32071101050, -481066515733, ...

MCS15529 : A0 = 0; AK+1 = - K AK + 2 AK + K (score: 5)

2, 1, 2, -1, 10, -43, 266, -1853, 14834, -133495, 1334962, -14684569, 176214842, -2290792931, 32071101050, -481066515733, ...

MCS31305 : A0 = 0; AK+1 = - K AK + AK + K + 1 (score: 5)

2, 1, 2, -1, 10, -43, 266, -1853, 14834, -133495, 1334962, -14684569, 176214842, -2290792931, 32071101050, -481066515733, ...

MCS15689 (alias MCS251032) : A0 = 0; AK+1 = - K AK + K + 2 (score: 5)

2, 1, 2, -2, -1, -2, 2, 1, 2, -2, -1, -2, 2, 1, 2, -2, -1, -2, 2, 1, 2, -2, -1, -2, 2, 1, 2, -2, -1, -2, 2, 1, 2, -2, -1, -2, 2, 1, 2, -2, -1, -2, 2, 1, 2, -2, -1, -2, 2, 1, 2, -2, -1, -2, 2, 1, ...

MCS6297690 : A0 = 2; A1 = 1; A2 = 2; AN = - AN-3 (score: 5)

2, 1, 3, 0, 5, -1, 9, -5, 16, -14, 31, -34, 62, -78, 128, -173, 269, -378, 571, -819, 1219, -1767, 2610, -3804, 5597, -8180, 12012, -17580, 25790, -37771, 55383, -81140, 118945, -174293, 255469, ...

MCS6504845 : A0 = 0; A1 = 0; A2 = 0; AK+1 = - AK - AK-2 + K (score: 5)

2, 1, 3, 0, 5, -3, 10, -11, 23, -32, 57, -87, 146, -231, 379, -608, 989, -1595, 2586, -4179, 6767, -10944, 17713, -28655, 46370, -75023, 121395, -196416, 317813, -514227, 832042, -1346267, ...

MCS6828 (alias MCS395825, MCS1748096, MCS3166598, MCS6992390)

A0 = 0; A1 = 1; AN = - AN-1 + AN-2 + 2 (score: 5)

2, 1, 3, 1, 5, 0, 8, -3, 14, -10, 26, -26, 51, -61, 104, -137, 217, -301, 459, -654, 978, -1413, 2092, -3044, 4484, -6548, 9621, -14075, 20654, -30243, 44351, -64971, 95249, -139564, 204572, ...

MCS1626209 : A0 = 0; A1 = 0; A2 = 1; AK+1 = - AK - AK-2 + K (score: 5)

2, 1, 3, 1, 5, 1, 9, 1, 17, 1, 33, 1, 65, 1, 129, 1, 257, 1, 513, 1, 1025, 1, 2049, 1, 4097, 1, 8193, 1, 16385, 1, 32769, 1, 65537, 1, 131073, 1, 262145, 1, 524289, 1, 1048577, 1, 2097153, 1, ...

MCS438592 : A0 = 1; A1 = 2; AN = 2 AN-2 - 1 (score: 4)

2, 1, 3, 1, 9, 1, 49, 1, 385, 1, 3841, 1, 46081, 1, 645121, 1, 10321921, 1, 185794561, 1, 3715891201, 1, 81749606401, 1, ...

MCS869896 : A0 = 1; A1 = 2; AK+1 = K AK-1 - K + 1 (score: 5)

2, 1, 3, 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, ...

MCS1974 (alias MCS3926, MCS62273, MCS108608, MCS125344, MCS868869, MCS1737737, MCS3475478, MCS6950957, MCS13901914)

A0 = 0; AK+1 = - AK + K - 1 (score: 3)

Add 2, Subtract 1

2, 1, 3, 3, 3, 6, 4, 7, 8, 6, 12, 8, 11, 15, 8, 19, 13, 13, 25, 8, 26, 21, 10, 40, 6, 30, 37, -3, 62, 5, 23, 71, -33, 90, 16, -13, 140, -86, 112, 68, -113, 267, -156, 87, 225, -335, 469, -196, ...

MCS6504710 : A0 = 1; A1 = 1; A2 = 2; AK+1 = - AK + AK-2 + K (score: 5)

2, 1, 3, 3, 4, 6, 7, 10, 13, 17, 23, 30, 40, 53, 70, 93, 123, 163, 216, 286, 379, 502, 665, 881, 1167, 1546, 2048, 2713, 3594, 4761, 6307, 8355, 11068, 14662, 19423, 25730, 34085, 45153, 59815, ...

MCS3088 (alias MCS6325292) : A0 = 0; A1 = 1; A2 = 2; AN = AN-2 + AN-3 (score: 4)

2, 1, 3, 3, 6, 7, 11, 13, 18, 21, 27, 31, 38, 43, 51, 57, 66, 73, 83, 91, 102, 111, 123, 133, 146, 157, 171, 183, 198, 211, 227, 241, 258, 273, 291, 307, 326, 343, 363, 381, 402, 421, 443, 463, ...

MCS877696 (alias MCS13705306) : A0 = 1; A1 = 2; AK+1 = AK-1 + K - 1 (score: 4)

2, 1, 3, 3, 10, 13, 51, 79, 358, 633, 3223, 6331, 35454, 75973, 460903, 1063623, 6913546, 17017969, 117530283, 306323443, 2233075378, 6126468861, 46894582939, 134782314943, ...

MCS869128 : A0 = 1; A1 = 2; AK+1 = K AK-1 - AK-1 + 1 (score: 5)

2, 1, 3, 4, 3, 7, 5, 7, 10, 6, 13, 10, 10, 18, 8, 19, 17, 10, 29, 9, 23, 29, 4, 44, 11, 20, 52, -12, 62, 21, -1, 96, -41, 75, 57, -61, 174, -78, 57, 158, -194, 294, -92, -57, 397, -442, 433, 13, ...

MCS6504717 : A0 = 0; A1 = 0; A2 = 0; AK+1 = - AK + AK-2 + K (score: 5)

2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843, 1364, 2207, 3571, 5778, 9349, 15127, 24476, 39603, 64079, 103682, 167761, 271443, 439204, 710647, 1149851, 1860498, 3010349, 4870847, ...

MCS13770842 : A0 = 2; A1 = 1; AN = AN-1 + AN-2 (score: 5)

Lucas numbers starting with 2 (A0032)

Horadam sequence Wn(2, 1; 1, 1), Lucas sequence Vn(1, -1)

2, 1, 3, 5, 3, 7, 11, 7, 15, 23, 15, 31, 47, 31, 63, 95, 63, 127, 191, 127, 255, 383, 255, 511, 767, 511, 1023, 1535, 1023, 2047, 3071, 2047, 4095, 6143, 4095, 8191, 12287, 8191, 16383, 24575, ...

MCS12802 : A0 = 0; A1 = 1; A2 = 2; AN = 2 AN-3 + 1 (score: 5)

2, 1, 3, 5, 5, 8, 11, 12, 16, 20, 22, 27, 32, 35, 41, 47, 51, 58, 65, 70, 78, 86, 92, 101, 110, 117, 127, 137, 145, 156, 167, 176, 188, 200, 210, 223, 236, 247, 261, 275, 287, 302, 317, 330, 346, ...

MCS13088 (alias MCS6358060) : A0 = 0; A1 = 1; A2 = 2; AK+1 = AK-2 + K - 1 (score: 5)

2, 1, 3, 7, 24, 103, 539, 3337, 23898, 194521, 1774587, 17940391, 199118888, 2407367047, 31494890499, 443335834033, ...

MCS864832 : A0 = 1; A1 = 2; AK+1 = K AK - AK + AK-1 (score: 5)

2, 1, 3, 9, 14, 17, 23, 33, 42, 49, 59, 73, 86, 97, 111, 129, 146, 161, 179, 201, 222, 241, 263, 289, 314, 337, 363, 393, 422, 449, 479, 513, 546, 577, 611, 649, 686, 721, 759, 801, 842, 881, 923, ...

MCS869152 : A0 = 1; A1 = 2; AK+1 = - AK-1 + K2 + 1 (score: 5)

2, 1, 3, 9, 31, 129, 651, 3913, 27399, 219201, 1972819, 19728201, 217010223, 2604122689, 33853594971, 473950329609, ...

MCS500290 : A0 = 2; AK+1 = K AK + K + 1 (score: 5)

2, 1, 3, -1, 4, -9, 5, -35, 6, -115, 7, -357, 8, -1085, 9, -3271, 10, -9831, 11, -29513, 12, -88561, 13, -265707, 14, -797147, 15, -2391469, 16, -7174437, 17, -21523343, 18, -64570063, 19, ...

MCS1718022 : A0 = 1; A1 = 1; AK+1 = 3 AK-1 - K (score: 5)

2, 1, 3, 13, 79, 633, 6331, 75973, 1063623, 17017969, 306323443, 6126468861, 134782314943, ...

MCS250018 : A0 = 2; AK+1 = 2 K AK + 1 (score: 5)

2, 1, 4, 0, 6, -2, 11, -7, 20, -19, 39, -45, 79, -102, 164, -225, 346, -490, 736, -1060, 1573, -2285, 3370, -4917, 7229, -10571, 15517, -22716, 33318, -48803, 71552, -104836, 153674, -225190, ...

MCS26019382 : A0 = 1; A1 = 1; A2 = 1; AK+1 = - AK - AK-2 + K (score: 5)

2, 1, 4, 1, 8, -1, 16, -9, 34, -33, 78, -99, 190, -275, 480, -739, 1236, -1957, 3212, -5149, 8382, -13509, 21914, -35399, 57338, -92711, 150076, -242759, 392864, -635593, 1028488, -1664049, ...

MCS3486848 : A0 = 1; A1 = 2; AK+1 = - AK + AK-1 + K + 1 (score: 5)

2, 1, 4, 1, 16, 1, 106, 1, 946, 1, 10396, 1, 135136, 1, 2027026, 1, 34459426, 1, 654729076, 1, 13749310576, 1, 316234143226, 1, ...

MCS858632 : A0 = 1; A1 = 2; AK+1 = K AK-1 + AK-1 - K (score: 5)

2, 1, 4, 2, 8, 4, 16, 8, 32, 16, 64, 32, 128, 64, 256, 128, 512, 256, 1024, 512, 2048, 1024, 4096, 2048, 8192, 4096, 16384, 8192, 32768, 16384, 65536, 32768, 131072, 65536, 262144, 131072, 524288, ...

MCS6836314 : A0 = 2; A1 = 1; AN = 2 AN-2 (score: 5)

Horadam sequence Wn(2, 1; 2, 0)

2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11, 14, 13, 16, 15, 18, 17, 20, 19, 22, 21, 24, 23, 26, 25, 28, 27, 30, 29, 32, 31, 34, 33, 36, 35, 38, 37, 40, 39, 42, 41, 44, 43, 46, 45, 48, 47, 50, 49, 52, ...

MCS7898 (alias MCS501409, MCS1745413) : A0 = 0; AK+1 = - AK + 2 K - 1 (score: 4)

2, 1, 4, 3, 16, 15, 96, 105, 768, 945, 7680, 10395, 92160, 135135, 1290240, 2027025, 20643840, 34459425, 371589120, 654729075, 7431782400, 13749310575, 163499212800, 316234143225, ...

MCS53256 : A0 = 1; A1 = 2; AK+1 = K AK-1 (score: 3)

Interleaves (2N-1)!! (A1147) with 2*(2N!!) (A66318)

2, 1, 4, 4, 8, 9, 14, 16, 22, 25, 32, 36, 44, 49, 58, 64, 74, 81, 92, 100, 112, 121, 134, 144, 158, 169, 184, 196, 212, 225, 242, 256, 274, 289, 308, 324, 344, 361, 382, 400, 422, 441, 464, 484, ...

MCS107072 : A0 = 0; A1 = 2; AK+1 = AK-1 + K (score: 4)

2, 1, 4, 4, 9, 12, 22, 33, 56, 88, 145, 232, 378, 609, 988, 1596, 2585, 4180, 6766, 10945, 17712, 28656, 46369, 75024, 121394, 196417, 317812, 514228, 832041, 1346268, 2178310, 3524577, 5702888, ...

MCS791617 : A0 = 0; A1 = 0; A2 = 1; AN = 2 AN-2 + AN-3 (score: 5)

2, 1, 4, 5, 6, 13, 16, 25, 42, 57, 92, 141, 206, 325, 488, 737, 1138, 1713, 2612, 3989, 6038, 9213, 14016, 21289, 32442, 49321, 75020, 114205, 173662, 264245, 402072, 611569, 930562, 1415713, ...

MCS12354 (alias MCS790689) : A0 = 0; A1 = 1; A2 = 2; AN = AN-2 + 2 AN-3 (score: 5)

2, 1, 4, 5, 16, 25, 86, 157, 610, 1265, 5500, 12661, 60512, 151945, 786670, 2127245, 11800066, 34035937, 200601140, 612646885, 3811421680, 12252937721, 80039855302, 269564629885, ...

MCS856840 : A0 = 1; A1 = 2; AK+1 = K AK-1 - AK-1 + K (score: 5)

2, 1, 4, 7, 16, 27, 46, 69, 102, 141, 192, 251, 324, 407, 506, 617, 746, 889, 1052, 1231, 1432, 1651, 1894, 2157, 2446, 2757, 3096, 3459, 3852, 4271, 4722, 5201, 5714, 6257, 6836, 7447, 8096, ...

MCS858656 : A0 = 1; A1 = 2; AK+1 = AK-1 + K2 - K (score: 5)

2, 1, 4, -1, 10, -11, 32, -53, 118, -223, 460, -905, 1826, -3635, 7288, -14557, 29134, -58247, 116516, -233009, 466042, -932059, 1864144, -3728261, 7456550, -14913071, 29826172, -59652313, ...

MCS1743168 (alias MCS6972678) : A0 = 1; A1 = 2; AN = - AN-1 + 2 AN-2 + 1 (score: 5)

2, 1, 4, -7, 46, -263, 1856, -14831, 133498, -1334959, 14684572, -176214839, 2290792934, -32071101047, 481066515736, ...

MCS15637 (alias MCS250200) : A0 = 0; AK+1 = - K AK + 2 K + 1 (score: 5)

2, 1, 4, 11, 16, 19, 26, 37, 46, 53, 64, 79, 92, 103, 118, 137, 154, 169, 188, 211, 232, 251, 274, 301, 326, 349, 376, 407, 436, 463, 494, 529, 562, 593, 628, 667, 704, 739, 778, 821, 862, 901, ...

MCS856864 : A0 = 1; A1 = 2; AK+1 = - AK-1 + K2 + K (score: 5)

2, 1, 5, 0, 14, -9, 43, -54, 148, -247, 553, -1036, 2154, -4213, 8535, -16946, 34032, -67907, 135989, -271784, 543782, -1087329, 2174915, -4349550, 8699404, -17398479, 34797313, -69594244, ...

MCS1730880 : A0 = 1; A1 = 2; AK+1 = - AK + 2 AK-1 + K (score: 5)

2, 1, 5, 1, 10, -2, 20, -13, 43, -45, 100, -132, 246, -363, 625, -971, 1614, -2566, 4200, -6745, 10967, -17689, 28680, -46344, 75050, -121367, 196445, -317783, 514258, -832010, 1346300, -2178277, ...

MCS1730817 (alias MCS3486849) : A0 = -1; A1 = 0; AK+1 = - AK + AK-1 + K (score: 5)

2, 1, 5, 2, 11, 1, 22, -7, 45, -34, 99, -111, 234, -319, 581, -870, 1483, -2319, 3838, -6119, 9997, -16074, 26115, -42143, 68306, -110399, 178757, -289102, 467915, -756959, 1224934, -1981831, ...

MCS1731200 : A0 = 1; A1 = 2; AK+1 = - AK + AK-1 + 2 K (score: 5)

2, 1, 5, 2, 24, 7, 166, 32, 1487, 154, 16325, 361, 212071, -11271, 3180704, -392407, 54083239, -10244030, 1027973948, -258963839, 21597696938, -6725178406, 497005993413, -183001978682, ...

MCS1574534 : A0 = 1; A1 = 1; A2 = 2; AK+1 = K AK-1 - AK-2 (score: 5)

2, 1, 5, 3, 11, 7, 23, 15, 47, 31, 95, 63, 191, 127, 383, 255, 767, 511, 1535, 1023, 3071, 2047, 6143, 4095, 12287, 8191, 24575, 16383, 49151, 32767, 98303, 65535, 196607, 131071, 393215, 262143, ...

MCS217248 : A0 = 0; A1 = 2; AN = 2 AN-2 + 1 (score: 5)

2, 1, 5, 3, 24, 17, 167, 135, 1502, 1349, 16521, 16187, 214772, 226617, 3221579, 3625871, 54766842, 65265677, 1040569997, 1305313539, 21851969936, 28716897857, 502595308527, 689205548567, ...

MCS877064 : A0 = 1; A1 = 2; AK+1 = K AK-1 + AK-1 - 1 (score: 5)

2, 1, 5, 4, 21, 21, 127, 148, 1017, 1333, 10171, 14664, 122053, 190633, 1708743, 2859496, 27339889, 48611433, 492118003, 923617228, 9842360061, 19395961789, 216531921343, 446107121148, ...

MCS108548 : A0 = 0; A1 = 2; AK+1 = K AK-1 + 1 (score: 5)

2, 1, 5, 5, 23, 29, 143, 209, 1151, 1889, 11519, 20789, 138239, 270269, 1935359, 4054049, 30965759, 68918849, 557383679, 1309458149, 11147673599, 27498621149, 245248819199, 632468286449, ...

MCS877576 : A0 = 1; A1 = 2; AK+1 = K AK-1 + K - 1 (score: 5)

2, 1, 5, 6, 12, 15, 23, 28, 38, 45, 57, 66, 80, 91, 107, 120, 138, 153, 173, 190, 212, 231, 255, 276, 302, 325, 353, 378, 408, 435, 467, 496, 530, 561, 597, 630, 668, 703, 743, 780, 822, 861, 905, ...

MCS15704 : A0 = 0; AK+1 = - AK + K2 + 2 (score: 5)

2, 1, 5, 7, 17, 31, 65, 127, 257, 511, 1025, 2047, 4097, 8191, 16385, 32767, 65537, 131071, 262145, 524287, 1048577, 2097151, 4194305, 8388607, 16777217, 33554431, 67108865, 134217727, 268435457, ...

MCS27545690 : A0 = 2; A1 = 1; AN = AN-1 + 2 AN-2 (score: 6)

Jacobsthal-Lucas numbers (A14551)

Horadam sequence Wn(2, 1; 2, 1), Lucas sequence Vn(1, -2)

2, 1, 5, 9, 20, 33, 55, 81, 118, 161, 217, 281, 360, 449, 555, 673, 810, 961, 1133, 1321, 1532, 1761, 2015, 2289, 2590, 2913, 3265, 3641, 4048, 4481, 4947, 5441, 5970, 6529, 7125, 7753, 8420, ...

MCS877088 : A0 = 1; A1 = 2; AK+1 = AK-1 + K2 - 1 (score: 5)

2, 1, 5, -2, 17, -23, 74, -143, 365, -794, 1889, -4271, 9938, -22751, 52565, -120818, 278513, -640967, 1476506, -3399407, 7828925, -18027146, 41513921, -95595359, 220137122, -506923199, ...

MCS432576 (alias MCS1730310) : A0 = 1; A1 = 2; AN = - AN-1 + 3 AN-2 (score: 5)

Horadam sequence Wn(1, 1; 3, -1) ; Horadam sequence Wn(1, 2; 3, -1)

2, 1, 6, 3, 44, 25, 522, 343, 8344, 6165, 166870, 135619, 4004868, 3526081, 112136290, 105782415, 3588361264, 3596602093, 129181005486, 136670879515, ...

MCS429076 : A0 = 1; A1 = 2; AK+1 = 2 K AK-1 - K (score: 5)

2, 1, 6, 5, 16, 15, 38, 37, 84, 83, 178, 177, 368, 367, 750, 749, 1516, 1515, 3050, 3049, 6120, 6119, 12262, 12261, 24548, 24547, 49122, 49121, 98272, 98271, 196574, 196573, 393180, 393179, ...

MCS214176 : A0 = 0; A1 = 2; AK+1 = 2 AK-1 + K (score: 5)

2, 1, 6, 5, 42, 45, 462, 585, 6930, 9945, 131670, 208845, 3028410, 5221125, 81767070, 151412625, 2534779170, 4996616625, 88717270950, 184874815125, ...

MCS427540 : A0 = 1; A1 = 2; AK+1 = 2 K AK-1 - AK-1 (score: 5)

2, 1, 6, 6, 28, 35, 174, 252, 1400, 2277, 14010, 25058, 168132, 325767, 2353862, 4886520, 37661808, 83070857, 677912562, 1578346302, 13558251260, 33145272363, 298281527742, 762341264372, ...

MCS107012 : A0 = 0; A1 = 2; AK+1 = K AK-1 + K (score: 5)

2, 1, 6, 10, 22, 35, 58, 84, 122, 165, 222, 286, 366, 455, 562, 680, 818, 969, 1142, 1330, 1542, 1771, 2026, 2300, 2602, 2925, 3278, 3654, 4062, 4495, 4962, 5456, 5986, 6545, 7142, 7770, 8438, ...

MCS106768 : A0 = 0; A1 = 2; AK+1 = AK-1 + K2 (score: 5)

2, 1, 6, 17, 26, 33, 46, 65, 82, 97, 118, 145, 170, 193, 222, 257, 290, 321, 358, 401, 442, 481, 526, 577, 626, 673, 726, 785, 842, 897, 958, 1025, 1090, 1153, 1222, 1297, 1370, 1441, 1518, 1601, ...

MCS427600 : A0 = 1; A1 = 2; AK+1 = - AK-1 + 2 K2 (score: 5)

2, 1, 7, 5, 36, 31, 253, 249, 2278, 2491, 25059, 29893, 325768, 418503, 4886521, 6696049, 83070858, 120528883, 1578346303, 2410577661, 33145272364, 53032708543, 762341264373, ...

MCS3473558 : A0 = 1; A1 = 0; AK+1 = K AK-1 + 1 (score: 5)

2, 1, 7, 5, 55, 49, 659, 685, 10543, 12329, 210859, 271237, 5060615, 7052161, 141697219, 211564829, 4534311007, 7193204185, 163235196251, 273341759029, ...

MCS438292 : A0 = 1; A1 = 2; AK+1 = 2 K AK-1 - 1 (score: 5)

2, 1, 7, 8, 16, 19, 29, 34, 46, 53, 67, 76, 92, 103, 121, 134, 154, 169, 191, 208, 232, 251, 277, 298, 326, 349, 379, 404, 436, 463, 497, 526, 562, 593, 631, 664, 704, 739, 781, 818, 862, 901, ...

MCS126344 : A0 = 1; AK+1 = - AK + K2 - 1 (score: 4)

2, 1, 7, 10, 31, 61, 154, 337, 799, 1810, 4207, 9637, 22258, 51169, 117943, 271450, 625279, 1439629, 3315466, 7634353, 17580751, 40483810, 93226063, 214677493, 494355682, 1138388161, 2621455207, ...

MCS27553882 : A0 = 2; A1 = 1; AN = AN-1 + 3 AN-2 (score: 7)

Horadam sequence Wn(2, 1; 3, 1), Lucas sequence Vn(1, -3)

2, 1, 8, 7, 22, 21, 52, 51, 114, 113, 240, 239, 494, 493, 1004, 1003, 2026, 2025, 4072, 4071, 8166, 8165, 16356, 16355, 32738, 32737, 65504, 65503, 131038, 131037, 262108, 262107, 524250, 524249, ...

MCS856705 : A0 = -1; A1 = 0; AK+1 = 2 AK-1 + K (score: 5)

2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, ...

MCS108640 (alias MCS434561, MCS13906010) : A0 = 0; A1 = 2; AN = - AN-2 + 1 (score: 4)

2, 1, -1, 0, 6, 11, 5, -10, -12, 17, 51, 28, -62, -105, 33, 258, 208, -291, -689, -88, 1310, 1507, -1091, -4082, -1876, 6313, 10091, -2508, -22662, -17617, 27737, 63002, 7560, -118411, -133497, ...

MCS3445440 : A0 = 1; A1 = 2; AK+1 = AK - 2 AK-1 + K (score: 5)

2, 1, -1, 0, -1, 2, -9, 44, -265, 1854, -14833, 133496, -1334961, 14684570, -176214841, 2290792932, -32071101049, 481066515734, ...

MCS504930 : A0 = 2; AK+1 = - K AK + AK - 1 (score: 5)

2, 1, -1, 1, 2, -2, -1, 4, -1, -5, 5, 4, -10, 1, 14, -11, -13, 25, 2, -38, 23, 40, -61, -17, 101, -44, -118, 145, 74, -263, 71, 337, -334, -266, 671, -68, -937, 739, 869, -1676, -130, 2545, -1546, ...

MCS6341676 : A0 = 1; A1 = 2; A2 = 1; AN = - AN-2 + AN-3 (score: 5)

2, 1, -1, 1, 4, 3, 1, 3, 6, 5, 3, 5, 8, 7, 5, 7, 10, 9, 7, 9, 12, 11, 9, 11, 14, 13, 11, 13, 16, 15, 13, 15, 18, 17, 15, 17, 20, 19, 17, 19, 22, 21, 19, 21, 24, 23, 21, 23, 26, 25, 23, 25, 28, 27, ...

MCS13709402 : A0 = 2; A1 = 1; AK+1 = - AK-1 + K (score: 5)

2, 1, -1, 1, 9, 1, -47, 1, 385, 1, -3839, 1, 46081, 1, -645119, 1, 10321921, 1, -185794559, 1, 3715891201, 1, -81749606399, 1, ...

MCS869388 : A0 = 1; A1 = 2; AK+1 = - K AK-1 + K + 1 (score: 5)

2, 1, -1, 1, -5, 17, -89, 529, -3709, 29665, -266993, 2669921, -29369141, 352429681, -4581585865, 64142202097, -962133031469, ...

MCS500578 : A0 = 2; AK+1 = - K AK - K + 1 (score: 5)

2, 1, -1, 5, -29, 233, -2329, 27949, -391285, 6260561, -112690097, 2253801941, -49583642701, ...

MCS500066 : A0 = 2; AK+1 = - 2 K AK + 1 (score: 5)

2, 1, -1, -1, 4, 5, -19, -29, 134, 233, -1205, -2329, 13256, 27949, -172327, -391285, 2584906, 6260561, -43943401, -112690097, 834924620, 2253801941, -17533417019, -49583642701, 403268591438, ...

MCS868876 : A0 = 1; A1 = 2; AK+1 = - K AK-1 + AK-1 + 1 (score: 5)

2, 1, -1, -1, -3, -6, -7, -10, -14, -16, -20, -25, -28, -33, -39, -43, -49, -56, -61, -68, -76, -82, -90, -99, -106, -115, -125, -133, -143, -154, -163, -174, -186, -196, -208, -221, -232, -245, ...

MCS6390828 : A0 = 1; A1 = 2; A2 = 1; AK+1 = AK-2 - K (score: 5)

2, 1, -1, -2, -1, 1, 2, 1, -1, -2, -1, 1, 2, 1, -1, -2, -1, 1, 2, 1, -1, -2, -1, 1, 2, 1, -1, -2, -1, 1, 2, 1, -1, -2, -1, 1, 2, 1, -1, -2, -1, 1, 2, 1, -1, -2, -1, 1, 2, 1, -1, -2, -1, 1, 2, 1, ...

MCS215232 (alias MCS787209, MCS1574444, MCS1721865, MCS3148845, MCS6887469, MCS13774938)

A0 = 1; A1 = 2; AN = AN-1 - AN-2 (score: 3)

Periodic sequence 2,1,-1,-2,-1,1,... (A87204)

Horadam sequence Wn(1, 2; -1, 1) ; Horadam sequence Wn(-1, -2; -1, 1) ; Horadam sequence Wn(-1, 1; -1, 1) ; Horadam sequence Wn(2, 1; -1, 1), Lucas sequence Vn(1, 1)

2, 1, -1, -3, -1, 3, 7, 3, -5, -13, -5, 11, 27, 11, -21, -53, -21, 43, 107, 43, -85, -213, -85, 171, 427, 171, -341, -853, -341, 683, 1707, 683, -1365, -3413, -1365, 2731, 6827, 2731, -5461, ...

MCS25605 : A0 = 0; A1 = 1; A2 = 2; AN = - 2 AN-3 + 1 (score: 5)

2, 1, -1, -3, -7, -14, -24, -39, -62, -96, -146, -220, -329, -489, -724, -1069, -1575, -2317, -3405, -5000, -7338, -10765, -15788, -23150, -33940, -49754, -72931, -106899, -156682, -229643, ...

MCS6447366 : A0 = 1; A1 = 1; A2 = 2; AK+1 = AK + AK-2 - K (score: 5)

2, 1, -1, -4, -6, -6, -3, 2, 7, 9, 6, -2, -12, -19, -18, -7, 11, 28, 34, 22, -7, -42, -65, -59, -18, 46, 104, 121, 74, -31, -153, -228, -198, -46, 181, 378, 423, 241, -138, -562, -804, -667, -106, ...

MCS26241 : A0 = 0; A1 = 1; A2 = 2; AN = AN-1 - AN-3 - 1 (score: 5)

2, 1, -1, -4, -8, -13, -19, -26, -34, -43, -53, -64, -76, -89, -103, -118, -134, -151, -169, -188, -208, -229, -251, -274, -298, -323, -349, -376, -404, -433, -463, -494, -526, -559, -593, -628, ...

MCS505026 : A0 = 2; AK+1 = AK - K - 1 (score: 4)

2, 1, -1, -6, -15, -31, -58, -103, -177, -298, -495, -815, -1334, -2175, -3537, -5742, -9311, -15087, -24434, -39559, -64033, -103634, -167711, -271391, -439150, -710591, -1149793, -1860438, ...

MCS3446400 : A0 = 1; A1 = 2; AK+1 = AK + AK-1 - 2 K (score: 5)

2, 1, -1, -6, -16, -33, -59, -96, -146, -211, -293, -394, -516, -661, -831, -1028, -1254, -1511, -1801, -2126, -2488, -2889, -3331, -3816, -4346, -4923, -5549, -6226, -6956, -7741, -8583, -9484, ...

MCS504882 : A0 = 2; AK+1 = AK - K2 - 1 (score: 5)

2, 1, -1, -7, -16, -31, -51, -79, -114, -159, -213, -279, -356, -447, -551, -671, -806, -959, -1129, -1319, -1528, -1759, -2011, -2287, -2586, -2911, -3261, -3639, -4044, -4479, -4943, -5439, ...

MCS868912 : A0 = 1; A1 = 2; AK+1 = AK-1 - K2 + 1 (score: 5)

2, 1, -2, 0, -1, 3, -3, 4, -7, 10, -14, 21, -31, 45, -66, 97, -142, 208, -305, 447, -655, 960, -1407, 2062, -3022, 4429, -6491, 9513, -13942, 20433, -29946, 43888, -64321, 94267, -138155, 202476, ...

MCS6489644 : A0 = 1; A1 = 2; A2 = 1; AN = - AN-1 - AN-3 (score: 5)

2, 1, -2, 0, 12, 5, -66, -28, 536, 261, -5350, -2860, 64212, 37193, -898954, -557880, 14383280, 9483977, -258899022, -180195544, 5177980460, 3784106445, -113915570098, -87034448212, ...

MCS107014 : A0 = 0; A1 = 2; AK+1 = - K AK-1 + K (score: 5)

2, 1, -2, 1, 8, 3, -10, 1, 28, 7, -46, -3, 104, 19, -194, -23, 404, 63, -790, -107, 1600, 235, -3178, -447, 6380, 919, -12734, -1811, 25496, 3651, -50962, -7271, 101956, 14575, -203878, -29115, ...

MCS428384 : A0 = 0; A1 = 2; AK+1 = - 2 AK-1 + K (score: 5)

2, 1, -2, 1, 16, 1, -104, 1, 946, 1, -10394, 1, 135136, 1, -2027024, 1, 34459426, 1, -654729074, 1, 13749310576, 1, -316234143224, 1, ...

MCS108673 : A0 = 0; A1 = 1; AK+1 = - K AK-1 + K + 1 (score: 5)

2, 1, -2, 1, 16, 1, -104, 1, 946, 1, -10394, 1, 135136, 1, -2027024, 1, 34459426, 1, -654729074, 1, 13749310576, 1, -316234143224, 1, ...

MCS856589 : A0 = 0; A1 = 0; AK+1 = - K AK-1 + AK-1 + K (score: 5)

2, 1, -2, -1, 2, 1, -2, -1, 2, 1, -2, -1, 2, 1, -2, -1, 2, 1, -2, -1, 2, 1, -2, -1, 2, 1, -2, -1, 2, 1, -2, -1, 2, 1, -2, -1, 2, 1, -2, -1, 2, 1, -2, -1, 2, 1, -2, -1, 2, 1, -2, -1, 2, 1, -2, -1, ...

MCS3420250 (alias MCS855061) : A0 = 2; A1 = 1; AN = - AN-2 (score: 4)

Horadam sequence Wn(2, 1; -1, 0) ; Horadam sequence Wn(-1, 2; -1, 0)

2, 1, -2, -1, -2, 1, -10, 43, -266, 1853, -14834, 133495, -1334962, 14684569, -176214842, 2290792931, -32071101050, 481066515733, ...

MCS248536 : A0 = 1; AK+1 = - K AK + 2 AK - K (score: 5)

2, 1, -2, -1, 10, 7, -58, -47, 466, 425, -4658, -4673, 55898, 60751, -782570, -911263, 12521122, 15491473, -225380194, -294337985, 4507603882, 6181097687, -99167285402, -142165246799, ...

MCS436236 : A0 = 1; A1 = 2; AK+1 = - K AK-1 + 2 (score: 5)

2, 1, -2, -2, 6, 8, -30, -48, 210, 384, -1890, -3840, 20790, 46080, -270270, -645120, 4054050, 10321920, -68918850, -185794560, 1309458150, 3715891200, -27498621150, -81749606400, 632468286450, ...

MCS3408730 : A0 = 2; A1 = 1; AK+1 = - K AK-1 (score: 5)

2, 1, -2, -3, 1, 5, 2, -6, -7, 4, 13, 3, -17, -16, 14, 33, 2, -47, -35, 45, 82, -10, -127, -72, 137, 199, -65, -336, -134, 401, 470, -267, -871, -203, 1138, 1074, -935, -2212, -139, 3147, 2351, ...

MCS3171085 (alias MCS6342166) : A0 = -1; A1 = -1; A2 = 0; AN = - AN-2 - AN-3 (score: 5)

2, 1, -2, -3, 2, 9, 6, -11, -22, 1, 46, 45, -46, -135, -42, 229, 314, -143, -770, -483, 1058, 2025, -90, -4139, -3958, 4321, 12238, 3597, -20878, -28071, 13686, 69829, 42458, -97199, -182114, ...

MCS27205 (alias MCS3482304, MCS3482305) : A0 = 0; A1 = 1; AN = AN-1 - 2 AN-2 + 1 (score: 5)

2, 1, -2, -3, -2, 1, 2, 1, -2, -3, -2, 1, 2, 1, -2, -3, -2, 1, 2, 1, -2, -3, -2, 1, 2, 1, -2, -3, -2, 1, 2, 1, -2, -3, -2, 1, 2, 1, -2, -3, -2, 1, 2, 1, -2, -3, -2, 1, 2, 1, -2, -3, -2, 1, 2, 1, ...

MCS6686252 : A0 = 1; A1 = 2; A2 = 1; AN = - AN-3 - 1 (score: 5)

2, 1, -2, -4, -2, 4, 8, 4, -8, -16, -8, 16, 32, 16, -32, -64, -32, 64, 128, 64, -128, -256, -128, 256, 512, 256, -512, -1024, -512, 1024, 2048, 1024, -2048, -4096, -2048, 4096, 8192, 4096, -8192, ...

MCS6297132 : A0 = 1; A1 = 2; A2 = 1; AN = - 2 AN-3 (score: 5)

2, 1, -2, -4, -3, 0, 2, 1, -2, -4, -3, 0, 2, 1, -2, -4, -3, 0, 2, 1, -2, -4, -3, 0, 2, 1, -2, -4, -3, 0, 2, 1, -2, -4, -3, 0, 2, 1, -2, -4, -3, 0, 2, 1, -2, -4, -3, 0, 2, 1, -2, -4, -3, 0, 2, 1, ...

MCS439392 : A0 = 0; A1 = 2; AN = AN-1 - AN-2 - 1 (score: 5)

2, 1, -2, -5, -4, 3, 12, 13, -2, -27, -38, -9, 56, 103, 56, -103, -262, -215, 150, 627, 692, -85, -1404, -2011, -522, 2893, 5426, 3055, -5264, -13745, -11536, 7473, 32754, 36817, -3410, -72981, ...

MCS25137 : A0 = 0; A1 = 1; A2 = 2; AN = AN-1 - AN-2 - AN-3 (score: 5)

2, 1, -2, -5, -6, -5, -4, -5, -8, -11, -12, -11, -10, -11, -14, -17, -18, -17, -16, -17, -20, -23, -24, -23, -22, -23, -26, -29, -30, -29, -28, -29, -32, -35, -36, -35, -34, -35, -38, -41, -42, ...

MCS3483328 : A0 = 1; A1 = 2; AK+1 = AK - AK-1 - K + 1 (score: 5)

2, 1, -2, -7, -14, -23, -34, -47, -62, -79, -98, -119, -142, -167, -194, -223, -254, -287, -322, -359, -398, -439, -482, -527, -574, -623, -674, -727, -782, -839, -898, -959, -1022, -1087, -1154, ...

MCS7081 (alias MCS28309, MCS500912, MCS2020034)

AK = - K2 + 2 (score: 4)

2, 1, -2, -9, -28, -95, -402, -2149, -13976, -106443, -924670, -9000497, -96909924, -1142822551, -14642776778, -202499313405, ...

MCS213260 : A0 = 1; A1 = 2; AK+1 = K AK - K AK-1 (score: 5)

2, 1, -3, 2, 1, -3, 2, 1, -3, 2, 1, -3, 2, 1, -3, 2, 1, -3, 2, 1, -3, 2, 1, -3, 2, 1, -3, 2, 1, -3, 2, 1, -3, 2, 1, -3, 2, 1, -3, 2, 1, -3, 2, 1, -3, 2, 1, -3, 2, 1, -3, 2, 1, -3, 2, 1, -3, 2, 1, ...

MCS13840474 : A0 = 2; A1 = 1; AN = - AN-1 - AN-2 (score: 5)

Horadam sequence Wn(2, 1; -1, -1)

2, 1, -3, -1, 7, 3, -13, -5, 27, 11, -53, -21, 107, 43, -213, -85, 427, 171, -853, -341, 1707, 683, -3413, -1365, 6827, 2731, -13653, -5461, 27307, 10923, -54613, -21845, 109227, 43691, -218453, ...

MCS434528 : A0 = 0; A1 = 2; AN = - 2 AN-2 + 1 (score: 5)

2, 1, -3, -2, 2, 1, -3, -2, 2, 1, -3, -2, 2, 1, -3, -2, 2, 1, -3, -2, 2, 1, -3, -2, 2, 1, -3, -2, 2, 1, -3, -2, 2, 1, -3, -2, 2, 1, -3, -2, 2, 1, -3, -2, 2, 1, -3, -2, 2, 1, -3, -2, 2, 1, -3, -2, ...

MCS14037082 : A0 = 2; A1 = 1; AN = - AN-2 - 1 (score: 5)

2, 1, -3, -2, 13, 11, -77, -76, 617, 685, -6169, -7534, 74029, 97943, -1036405, -1469144, 16582481, 24975449, -298484657, -474533530, 5969693141, 9965204131, -131333249101, -229199695012, ...

MCS108550 : A0 = 0; A1 = 2; AK+1 = - K AK-1 + 1 (score: 5)

2, 1, -3, -3, 0, -1, -5, -5, -2, -3, -7, -7, -4, -5, -9, -9, -6, -7, -11, -11, -8, -9, -13, -13, -10, -11, -15, -15, -12, -13, -17, -17, -14, -15, -19, -19, -16, -17, -21, -21, -18, -19, -23, -23, ...

MCS13742170 : A0 = 2; A1 = 1; AK+1 = - AK-1 - K (score: 5)

2, 1, -3, -3, 2, 6, 1, -8, -7, 7, 15, 0, -22, -15, 22, 37, -7, -59, -30, 66, 89, -36, -155, -53, 191, 208, -138, -399, -70, 537, 469, -467, -1006, -2, 1473, 1008, -1471, -2481, 463, 3952, 2018, ...

MCS6342188 : A0 = 1; A1 = 2; A2 = 1; AN = - AN-2 - AN-3 (score: 5)

2, 1, -3, -5, 1, 11, 9, -13, -31, -5, 57, 67, -47, -181, -87, 275, 449, -101, -999, -797, 1201, 2795, 393, -5197, -5983, 4411, 16377, 7555, -25199, -40309, 10089, 90707, 70529, -110885, -251943, ...

MCS55095386 : A0 = 2; A1 = 1; AN = AN-1 - 2 AN-2 (score: 6)

An unusually oscillating sequence (A2249)

Horadam sequence Wn(2, 1; -2, 1), Lucas sequence Vn(1, 2)

2, 1, -3, -5, -5, -2, -1, -2, -6, -8, -8, -5, -4, -5, -9, -11, -11, -8, -7, -8, -12, -14, -14, -11, -10, -11, -15, -17, -17, -14, -13, -14, -18, -20, -20, -17, -16, -17, -21, -23, -23, -20, -19, ...

MCS6391340 : A0 = 1; A1 = 2; A2 = 1; AK+1 = - AK-2 - K (score: 5)

2, 1, -3, -6, 6, 36, 0, -252, -252, 2016, 4536, -17640, -72072, 157248, 1166256, -1192464, -19852560, 419328, 357765408, 349798176, -6805509984, -14151271680, 135569947968, 461049196608, ...

MCS215052 : A0 = 1; A1 = 2; AK+1 = AK - K AK-1 (score: 4)

2, 1, -3, -7, -8, -6, -4, -5, -9, -13, -14, -12, -10, -11, -15, -19, -20, -18, -16, -17, -21, -25, -26, -24, -22, -23, -27, -31, -32, -30, -28, -29, -33, -37, -38, -36, -34, -35, -39, -43, -44, ...

MCS430944 : A0 = 0; A1 = 2; AK+1 = AK - AK-1 - K (score: 5)

2, 1, -4, 3, 6, -11, 0, 23, -22, -23, 68, -21, -114, 157, 72, -385, 242, 529, -1012, -45, 2070, -1979, -2160, 6119, -1798, -10439, 14036, 6843, -34914, 21229, 48600, -91057, -6142, 188257, ...

MCS27237 (alias MCS792737, MCS3486401) : A0 = 0; A1 = 1; AN = - AN-1 - 2 AN-2 + 1 (score: 5)

2, 1, -4, -2, 8, 4, -16, -8, 32, 16, -64, -32, 128, 64, -256, -128, 512, 256, -1024, -512, 2048, 1024, -4096, -2048, 8192, 4096, -16384, -8192, 32768, 16384, -65536, -32768, 131072, 65536, ...

MCS13676634 : A0 = 2; A1 = 1; AN = - 2 AN-2 (score: 5)

Horadam sequence Wn(2, 1; -2, 0)

2, 1, -4, -7, 14, 57, -40, -495, -134, 4817, 6292, -51511, -133306, 587849, 2587440, -6818143, -50804622, 71921953, 1037209772, -401229287, -22182634498, -13355590183, 496845003272, 817379167665, ...

MCS108801 : A0 = 0; A1 = 1; AK+1 = AK - K AK-1 + 1 (score: 5)

2, 1, -4, -11, -10, 13, 56, 73, -22, -263, -460, -131, 1118, 2629, 1904, -4079, -13870, -15503, 10604, 67717, 103622, 4093, -302680, -617639, -327238, 1198441, 3378596, 3161869, -3812050, ...

MCS26959 : A0 = 0; A1 = 1; AN = 2 AN-1 - 3 AN-2 (score: 6)

An unusually oscillating sequence (A88137)

Horadam sequence Wn(0, 1; -3, 2), Lucas sequence Un(2, 3)


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Quick Index:
    Sequences Beginning 2,0,...
    Sequences Beginning 2,1,...
    Sequences Beginning 2,2,0,... ; 2,2,1,... ; etc.
    Sequences Beginning 2,2,4,... ; 2,2,5,... ; etc.
    Sequences Beginning 2,3,0,... ; 2,3,1,... ; etc.
    Sequences Beginning 2,3,4,... ; 2,3,5,... ; etc.
    Sequences Beginning 2,4,...
    Sequences Beginning 2,5,... ; 2,6,... and 2,7,...
    Sequences Beginning 2,8,... ; 2,9,... ; etc.
    Sequences Beginning 3,0,... ; 3,1,... ; etc.
    Sequences Beginning 3,4,... ; 3,5,... ; etc.
    Sequences Beginning 3,8,... ; 3,9,... ; etc.
    Sequences Beginning 4,0,... ; 4,1,... ; etc.
    Sequences Beginning 4,6,... ; 4,7,... ; etc.
    Sequences Beginning 5,...
    Sequences Beginning 6,... ; 7,... ; etc.



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