Minimally Complex Sequences  


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Main Table

2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...

MCS30786 (alias MCS30818, MCS61602, MCS61666, MCS123234, MCS124304, MCS246754, MCS248408)

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

A trivial sequence (A0038)

2, 0, 0, 1, -1, -1, 0, -2, -2, -1, -3, -3, -2, -4, -4, -3, -5, -5, -4, -6, -6, -5, -7, -7, -6, -8, -8, -7, -9, -9, -8, -10, -10, -9, -11, -11, -10, -12, -12, -11, -13, -13, -12, -14, -14, -13, ...

MCS1671430 : A0 = 1; A1 = 1; A2 = 2; AN = AN-3 - 1 (score: 4)

2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, ...

MCS393481 (alias MCS1748161) : A0 = 0; A1 = 0; A2 = 2; AN = AN-3 (score: 4)

2, 0, 0, 2, 5, 4, 0, -1, 5, 11, 7, -4, -5, 11, 24, 10, -18, -16, 27, 54, 10, -59, -41, 73, 125, -6, -171, -91, 206, 292, -84, -466, -175, 584, 676, -373, -1223, -265, 1635, 1528, -1329, -3121, ...

MCS6369670 : A0 = 1; A1 = 1; A2 = 2; AK+1 = - AK-1 - AK-2 + K (score: 5)

2, 0, 0, 3, 1, -2, 3, 4, -4, 0, 9, -3, -8, 13, 6, -20, 8, 27, -27, -18, 55, -8, -72, 64, 65, -135, 0, 201, -134, -200, 336, 67, -535, 270, 603, -804, -332, 1408, -471, -1739, 1880, 1269, -3618, ...

MCS12824 (alias MCS820769, MCS1641537, MCS6566157)

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

2, 0, 0, 3, 4, 2, 2, 5, 6, 4, 4, 7, 8, 6, 6, 9, 10, 8, 8, 11, 12, 10, 10, 13, 14, 12, 12, 15, 16, 14, 14, 17, 18, 16, 16, 19, 20, 18, 18, 21, 22, 20, 20, 23, 24, 22, 22, 25, 26, 24, 24, 27, 28, ...

MCS214208 : A0 = 1; A1 = 2; AK+1 = - AK-1 + K (score: 3)

A staggering increasing sequence

2, 0, 0, 4, 0, 0, 8, 0, 0, 16, 0, 0, 32, 0, 0, 64, 0, 0, 128, 0, 0, 256, 0, 0, 512, 0, 0, 1024, 0, 0, 2048, 0, 0, 4096, 0, 0, 8192, 0, 0, 16384, 0, 0, 32768, 0, 0, 65536, 0, 0, 131072, 0, 0, ...

MCS196769 (alias MCS393541, MCS787081, MCS12593366)

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

2, 0, 0, 6, 8, -2, -4, 18, 24, -18, -28, 58, 80, -90, -132, 210, 296, -386, -556, 810, 1152, -1578, -2260, 3202, 4568, -6354, -9084, 12762, 18224, -25466, -36388, 50994, 72840, -101922, -145612, ...

MCS1714880 : A0 = 1; A1 = 2; AK+1 = - 2 AK-1 + 2 K (score: 5)

2, 0, 0, 9, 16, -20, -60, 189, 544, -1620, -5340, 17941, 64224, -233064, -898940, 3496185, 14383296, -59434856, -258899004, 1129262625, 5177980480, -23714514684, -113915570076, 545433838261, ...

MCS213132 : A0 = 1; A1 = 2; AK+1 = - K AK-1 + K2 (score: 5)

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

MCS1638790 (alias MCS6555181) : A0 = 1; A1 = 1; A2 = 2; AN = - AN-3 + 1 (score: 4)

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

MCS393609 : A0 = 0; A1 = 0; A2 = 2; AN = - AN-3 (score: 4)

2, 0, 0, -2, -5, -8, -14, -21, -31, -45, -63, -88, -121, -165, -224, -302, -406, -544, -727, -970, -1292, -1719, -2285, -3035, -4029, -5346, -7091, -9403, -12466, -16524, -21900, -29022, -38457, ...

MCS6398214 : A0 = 1; A1 = 1; A2 = 2; AK+1 = AK-1 + AK-2 - K (score: 5)

2, 0, 0, -3, -1, -4, 1, -4, 4, -6, 7, -11, 12, -19, 22, -32, 40, -55, 71, -96, 125, -168, 220, -294, 387, -515, 680, -903, 1194, -1584, 2096, -2779, 3679, -4876, 6457, -8556, 11332, -15014, 19887, ...

MCS26145 : A0 = 0; A1 = 1; A2 = 2; AN = AN-2 - AN-3 - 1 (score: 5)

2, 0, 0, -3, -4, -8, -10, -15, -18, -24, -28, -35, -40, -48, -54, -63, -70, -80, -88, -99, -108, -120, -130, -143, -154, -168, -180, -195, -208, -224, -238, -255, -270, -288, -304, -323, -340, ...

MCS214656 : A0 = 1; A1 = 2; AK+1 = AK-1 - K (score: 3)

2, 0, 0, -4, 0, 0, 8, 0, 0, -16, 0, 0, 32, 0, 0, -64, 0, 0, 128, 0, 0, -256, 0, 0, 512, 0, 0, -1024, 0, 0, 2048, 0, 0, -4096, 0, 0, 8192, 0, 0, -16384, 0, 0, 32768, 0, 0, -65536, 0, 0, 131072, 0, ...

MCS1574277 (alias MCS1574281, MCS3148569, MCS6297133)

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

2, 0, 0, -6, -8, -22, -28, -58, -72, -134, -164, -290, -352, -606, -732, -1242, -1496, -2518, -3028, -5074, -6096, -10190, -12236, -20426, -24520, -40902, -49092, -81858, -98240, -163774, -196540, ...

MCS1715520 : A0 = 1; A1 = 2; AK+1 = 2 AK-1 - 2 K (score: 5)

2, 0, 0, -9, -16, -70, -132, -539, -1120, -4932, -11300, -54373, -135744, -707018, -1900612, -10605495, -30410048, -180293704, -547381188, -3425580737, -10947624160, -71937195918, -240847732004, ...

MCS213192 : A0 = 1; A1 = 2; AK+1 = K AK-1 - K2 (score: 5)

2, 0, 1, 0, 3, -8, 45, -264, 1855, -14832, 133497, -1334960, 14684571, -176214840, 2290792933, -32071101048, 481066515735, ...

MCS123490 : A0 = 2; AK+1 = - K AK + K (score: 4)

2, 0, 1, 0, 5, 4, 7, -2, 1, -4, 15, 10, 21, -16, -5, -26, 49, 28, 71, -78, -35, -120, 179, 94, 265, -332, -161, -502, 693, 352, 1035, -1354, -671, -2036, 2743, 1378, 4109, -5448, -2717, -8178, ...

MCS6358406 : A0 = 1; A1 = 1; A2 = 2; AK+1 = - 2 AK-2 + K (score: 5)

2, 0, 1, 1, 4, 4, 5, 3, 4, 4, 7, 7, 8, 6, 7, 7, 10, 10, 11, 9, 10, 10, 13, 13, 14, 12, 13, 13, 16, 16, 17, 15, 16, 16, 19, 19, 20, 18, 19, 19, 22, 22, 23, 21, 22, 22, 25, 25, 26, 24, 25, 25, 28, ...

MCS6701446 : A0 = 1; A1 = 1; A2 = 2; AK+1 = - AK-2 + K - 1 (score: 5)

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

MCS768 : A0 = 0; A1 = 1; A2 = 2; AN = AN-3 (score: 3)

N Modulo 3 (A10872)

2, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 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, ...

MCS123298 : A0 = 2; AK+1 = - K AK + K2 (score: 5)

2, 0, 1, 2, -1, 3, 0, 0, 4, -3, 4, 1, -3, 8, -6, 4, 5, -10, 15, -9, 0, 16, -24, 25, -8, -15, 41, -48, 34, 8, -55, 90, -81, 27, 64, -144, 172, -107, -36, 209, -315, 280, -70, -244, 525, -594, 351, ...

MCS825377 (alias MCS1650753, MCS6603021) : A0 = 0; A1 = 1; A2 = 1; AN = - AN-1 + AN-3 + 1 (score: 5)

2, 0, 1, 3, 1, 2, 4, 2, 3, 5, 3, 4, 6, 4, 5, 7, 5, 6, 8, 6, 7, 9, 7, 8, 10, 8, 9, 11, 9, 10, 12, 10, 11, 13, 11, 12, 14, 12, 13, 15, 13, 14, 16, 14, 15, 17, 15, 16, 18, 16, 17, 19, 17, 18, 20, 18, ...

MCS1730945 : A0 = -1; A1 = 0; AK+1 = - AK - AK-1 + K (score: 5)

2, 0, 1, 4, 15, 64, 325, 1956, 13699, 109600, 986409, 9864100, 108505111, 1302061344, 16926797485, 236975164804, ...

MCS123458 : A0 = 2; AK+1 = K AK + K (score: 4)

2, 0, 1, 5, 6, 4, 5, 9, 10, 8, 9, 13, 14, 12, 13, 17, 18, 16, 17, 21, 22, 20, 21, 25, 26, 24, 25, 29, 30, 28, 29, 33, 34, 32, 33, 37, 38, 36, 37, 41, 42, 40, 41, 45, 46, 44, 45, 49, 50, 48, 49, ...

MCS1755840 : A0 = 1; A1 = 2; AK+1 = - AK-1 + 2 K - 1 (score: 5)

2, 0, 1, 6, 27, 124, 645, 3906, 27391, 219192, 1972809, 19728190, 217010211, 2604122676, 33853594957, 473950329594, ...

MCS123170 : A0 = 2; AK+1 = K AK + K2 (score: 5)

2, 0, 1, 6, 39, 316, 3165, 37986, 531811, 8508984, 153161721, 3063234430, 67391157471, ...

MCS246946 : A0 = 2; AK+1 = 2 K AK + K (score: 5)

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

MCS219264 (alias MCS253360, MCS1005250) : A0 = 1; A1 = 2; AN = AN-2 - 1 (score: 3)

2, 0, 1, -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, ...

MCS1581446 : A0 = 1; A1 = 1; A2 = 2; AN = AN-2 - AN-3 (score: 4)

2, 0, 1, -2, -2, -6, -7, -12, -14, -20, -23, -30, -34, -42, -47, -56, -62, -72, -79, -90, -98, -110, -119, -132, -142, -156, -167, -182, -194, -210, -223, -240, -254, -272, -287, -306, -322, -342, ...

MCS435008 : A0 = 0; A1 = 2; AK+1 = AK-1 - K + 1 (score: 5)

2, 0, 1, -2, 15, -116, 1165, -13974, 195643, -3130280, 56345049, -1126900970, 24791821351, -595003712412, ...

MCS493922 : A0 = 2; AK+1 = - 2 K AK + K (score: 5)

2, 0, 1, -4, -3, -14, -13, -36, -35, -82, -81, -176, -175, -366, -365, -748, -747, -1514, -1513, -3048, -3047, -6118, -6117, -12260, -12259, -24546, -24545, -49120, -49119, -98270, -98269, ...

MCS1756480 : A0 = 1; A1 = 2; AK+1 = 2 AK-1 - K - 1 (score: 5)

2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, ...

MCS981 (alias MCS26688, MCS251266) : A0 = 0; AN = - AN-1 + 2 (score: 3)

Period 2 (A10673)

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

2, 0, 2, 0, 5, -1, 8, -5, 15, -13, 29, -32, 58, -73, 120, -162, 252, -354, 535, -767, 1142, -1655, 2445, -3563, 5243, -7662, 11252, -16467, 24158, -35380, 51878, -76004, 111417, -163261, 239300, ...

MCS25409 : A0 = 0; A1 = 1; A2 = 2; AK+1 = - AK - AK-2 + K (score: 5)

2, 0, 2, 0, 6, 0, 30, 0, 210, 0, 1890, 0, 20790, 0, 270270, 0, 4054050, 0, 68918850, 0, 1309458150, 0, 27498621150, 0, 632468286450, 0, ...

MCS213768 (alias MCS106884) : A0 = 1; A1 = 2; AK+1 = K AK-1 - AK-1 (score: 4)

2, 0, 2, 0, 6, -16, 90, -528, 3710, -29664, 266994, -2669920, 29369142, -352429680, 4581585866, -64142202096, 962133031470, ...

MCS247138 : A0 = 2; AK+1 = - K AK + 2 K (score: 5)

2, 0, 2, 1, 0, 3, -1, 2, 2, -2, 5, -2, 1, 5, -6, 8, -2, -3, 12, -13, 11, 2, -14, 26, -23, 10, 17, -39, 50, -32, -6, 57, -88, 83, -25, -62, 146, -170, 109, 38, -207, 317, -278, 72, 246, -523, 596, ...

MCS6603014 : A0 = 1; A1 = 1; A2 = 2; AN = - AN-1 + AN-3 + 1 (score: 5)

2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 3, 3, 4, 5, 6, 8, 10, 13, 17, 22, 29, 38, 50, 66, 87, 115, 152, 201, 266, 352, 466, 617, 817, 1082, 1433, 1898, 2514, 3330, 4411, 5843, 7740, 10253, 13582, 17992, ...

MCS13072 : A0 = 0; A1 = 1; A2 = 2; AN = AN-2 + AN-3 - 1 (score: 5)

2, 0, 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, ...

MCS3499136 : A0 = 1; A1 = 2; AK+1 = AK-1 + K - 2 (score: 5)

2, 0, 2, 2, 2, 4, 4, 6, 8, 10, 14, 18, 24, 32, 42, 56, 74, 98, 130, 172, 228, 302, 400, 530, 702, 930, 1232, 1632, 2162, 2864, 3794, 5026, 6658, 8820, 11684, 15478, 20504, 27162, 35982, 47666, ...

MCS1581321 : A0 = 0; A1 = 0; A2 = 2; AN = AN-2 + AN-3 (score: 5)

2, 0, 2, 2, -2, 6, -2, -2, 14, -18, 14, 14, -50, 78, -50, -50, 206, -306, 206, 206, -818, 1230, -818, -818, 3278, -4914, 3278, 3278, -13106, 19662, -13106, -13106, 52430, -78642, 52430, 52430, ...

MCS3244678 : A0 = 1; A1 = 1; A2 = 2; AN = - AN-1 + 2 AN-3 (score: 5)

2, 0, 2, 3, 1, 3, 4, 2, 4, 5, 3, 5, 6, 4, 6, 7, 5, 7, 8, 6, 8, 9, 7, 9, 10, 8, 10, 11, 9, 11, 12, 10, 12, 13, 11, 13, 14, 12, 14, 15, 13, 15, 16, 14, 16, 17, 15, 17, 18, 16, 18, 19, 17, 19, 20, ...

MCS27497 : A0 = 0; A1 = 1; AK+1 = - AK - AK-1 + K - 1 (score: 5)

2, 0, 2, 4, 0, 4, 8, 0, 8, 16, 0, 16, 32, 0, 32, 64, 0, 64, 128, 0, 128, 256, 0, 256, 512, 0, 512, 1024, 0, 1024, 2048, 0, 2048, 4096, 0, 4096, 8192, 0, 8192, 16384, 0, 16384, 32768, 0, 32768, ...

MCS3074 (alias MCS3148310) : A0 = 0; A1 = 1; A2 = 2; AN = 2 AN-3 (score: 4)

2, 0, 2, 8, 30, 128, 650, 3912, 27398, 219200, 1972818, 19728200, 217010222, 2604122688, 33853594970, 473950329608, ...

MCS247106 : A0 = 2; AK+1 = K AK + 2 K (score: 5)

2, 0, 2, 9, 14, 16, 22, 33, 42, 48, 58, 73, 86, 96, 110, 129, 146, 160, 178, 201, 222, 240, 262, 289, 314, 336, 362, 393, 422, 448, 478, 513, 546, 576, 610, 649, 686, 720, 758, 801, 842, 880, 922, ...

MCS213792 : A0 = 1; A1 = 2; AK+1 = - AK-1 + K2 (score: 4)

2, 0, 2, -2, 2, -4, 4, -6, 8, -10, 14, -18, 24, -32, 42, -56, 74, -98, 130, -172, 228, -302, 400, -530, 702, -930, 1232, -1632, 2162, -2864, 3794, -5026, 6658, -8820, 11684, -15478, 20504, -27162, ...

MCS1581449 : A0 = 0; A1 = 0; A2 = 2; AN = AN-2 - AN-3 (score: 5)

2, 0, 2, -2, 2, -6, 2, -14, 2, -30, 2, -62, 2, -126, 2, -254, 2, -510, 2, -1022, 2, -2046, 2, -4094, 2, -8190, 2, -16382, 2, -32766, 2, -65534, 2, -131070, 2, -262142, 2, -524286, 2, -1048574, 2, ...

MCS1749312 : A0 = 1; A1 = 2; AN = 2 AN-2 - 2 (score: 5)

2, 0, 2, -3, 4, -20, 18, -147, 136, -1332, 1350, -14663, 16188, -190632, 226618, -2859495, 3625872, -48611432, 65265678, -923617227, 1305313540, -19395961788, 28716897858, -446107121147, ...

MCS214536 : A0 = 1; A1 = 2; AK+1 = K AK-1 - K (score: 4)

2, 0, 2, -4, 18, -88, 530, -3708, 29666, -266992, 2669922, -29369140, 352429682, -4581585864, 64142202098, -962133031468, ...

MCS3921 (alias MCS62744, MCS125489) : A0 = 0; AK+1 = - K AK + 2 (score: 4)

2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 7, 0, 8, 0, 9, 0, 10, 0, 11, 0, 12, 0, 13, 0, 14, 0, 15, 0, 16, 0, 17, 0, 18, 0, 19, 0, 20, 0, 21, 0, 22, 0, 23, 0, 24, 0, 25, 0, 26, 0, 27, 0, 28, 0, 29, 0, 30, 0, ...

MCS3454145 : A0 = 0; A1 = 0; AK+1 = - 2 AK - AK-1 + K (score: 5)

2, 0, 3, 1, 4, 2, 5, 3, 6, 4, 7, 5, 8, 6, 9, 7, 10, 8, 11, 9, 12, 10, 13, 11, 14, 12, 15, 13, 16, 14, 17, 15, 18, 16, 19, 17, 20, 18, 21, 19, 22, 20, 23, 21, 24, 22, 25, 23, 26, 24, 27, 25, 28, ...

MCS31136 (alias MCS7862, MCS250689, MCS1005186)

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

2, 0, 3, 2, 6, 6, 11, 12, 18, 20, 27, 30, 38, 42, 51, 56, 66, 72, 83, 90, 102, 110, 123, 132, 146, 156, 171, 182, 198, 210, 227, 240, 258, 272, 291, 306, 326, 342, 363, 380, 402, 420, 443, 462, ...

MCS438848 : A0 = 0; A1 = 2; AK+1 = AK-1 + K - 1 (score: 5)

2, 0, 3, 6, 0, 9, 18, 0, 27, 54, 0, 81, 162, 0, 243, 486, 0, 729, 1458, 0, 2187, 4374, 0, 6561, 13122, 0, 19683, 39366, 0, 59049, 118098, 0, 177147, 354294, 0, 531441, 1062882, 0, 1594323, ...

MCS3075 : A0 = 0; A1 = 1; A2 = 2; AN = 3 AN-3 (score: 5)

2, 0, 3, -1, 4, -2, 5, -3, 6, -4, 7, -5, 8, -6, 9, -7, 10, -8, 11, -9, 12, -10, 13, -11, 14, -12, 15, -13, 16, -14, 17, -15, 18, -16, 19, -17, 20, -18, 21, -19, 22, -20, 23, -21, 24, -22, 25, -23, ...

MCS6496518 : A0 = 1; A1 = 1; A2 = 2; AN = - AN-1 + AN-2 + AN-3 (score: 5)

2, 0, 3, -1, 11, -6, 65, -43, 519, -388, 5189, -4269, 62267, -55498, 871737, -832471, 13947791, -14152008, 251060237, -268888153, 5021204739, -5646651214, 110466504257, -129872977923, ...

MCS219144 : A0 = 1; A1 = 2; AK+1 = K AK-1 - 1 (score: 4)

2, 0, 3, -2, 6, -7, 14, -20, 35, -54, 90, -143, 234, -376, 611, -986, 1598, -2583, 4182, -6764, 10947, -17710, 28658, -46367, 75026, -121392, 196419, -317810, 514230, -832039, 1346270, -2178308, ...

MCS871552 : A0 = 1; A1 = 2; AN = - AN-1 + AN-2 + 1 (score: 4)

2, 0, 3, -8, 36, -187, 1159, -8299, 67552, -616266, 6230213, -69148608, 836013510, -10937324237, 153958552829, ...

MCS868960 : A0 = 1; A1 = 2; AK+1 = - K AK + AK-1 + 1 (score: 5)

2, 0, 4, 0, 8, 0, 16, 0, 32, 0, 64, 0, 128, 0, 256, 0, 512, 0, 1024, 0, 2048, 0, 4096, 0, 8192, 0, 16384, 0, 32768, 0, 65536, 0, 131072, 0, 262144, 0, 524288, 0, 1048576, 0, 2097152, 0, 4194304, ...

MCS834 (alias MCS53408, MCS1709078) : A0 = 0; A1 = 1; AN = 2 AN-2 (score: 3)

Powers of 2 alternating with zeros (A77957)

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

2, 0, 4, 0, 16, 0, 96, 0, 768, 0, 7680, 0, 92160, 0, 1290240, 0, 20643840, 0, 371589120, 0, 7431782400, 0, 163499212800, 0, ...

MCS26628 : A0 = 0; A1 = 2; AK+1 = K AK-1 (score: 4)

2, 0, 4, 2, 3, 7, 2, 9, 7, 5, 15, 4, 14, 15, 4, 26, 6, 16, 29, -3, 40, 11, 9, 55, -19, 54, 28, -19, 102, -44, 56, 78, -89, 179, -66, 13, 203, -231, 283, -40, -150, 475, -472, 366, 154, -580, 993, ...

MCS12704 : A0 = 0; A1 = 1; A2 = 2; AK+1 = - AK + AK-2 + K (score: 5)

2, 0, 4, 2, 6, 4, 8, 6, 10, 8, 12, 10, 14, 12, 16, 14, 18, 16, 20, 18, 22, 20, 24, 22, 26, 24, 28, 26, 30, 28, 32, 30, 34, 32, 36, 34, 38, 36, 40, 38, 42, 40, 44, 42, 46, 44, 48, 46, 50, 48, 52, ...

MCS31450 : A0 = 0; AK+1 = - AK + 2 K - 2 (score: 5)

2, 0, 4, -1, 9, -5, 20, -18, 46, -55, 111, -155, 278, -420, 712, -1117, 1845, -2945, 4808, -7734, 12562, -20275, 32859, -53111, 85994, -139080, 225100, -364153, 589281, -953405, 1542716, -2496090, ...

MCS865408 : A0 = 1; A1 = 2; AK+1 = - AK + AK-1 + K (score: 4)

2, 0, 4, -2, 8, -8, 18, -24, 44, -66, 112, -176, 290, -464, 756, -1218, 1976, -3192, 5170, -8360, 13532, -21890, 35424, -57312, 92738, -150048, 242788, -392834, 635624, -1028456, 1664082, ...

MCS1748097 : A0 = 0; A1 = 0; AN = - AN-1 + AN-2 + 2 (score: 5)

2, 0, 4, -4, 12, -20, 44, -84, 172, -340, 684, -1364, 2732, -5460, 10924, -21844, 43692, -87380, 174764, -349524, 699052, -1398100, 2796204, -5592404, 11184812, -22369620, 44739244, -89478484, ...

MCS432448 : A0 = 1; A1 = 2; AN = - AN-1 + 2 AN-2 (score: 4)

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

2, 0, 4, -9, 44, -224, 1394, -9975, 81202, -740784, 7489052, -83120345, 1004933204, -13147251984, 185066460994, ...

MCS856672 : A0 = 1; A1 = 2; AK+1 = - K AK + AK-1 + K (score: 5)

2, 0, 4, -12, 56, -304, 1936, -14160, 117152, -1082688, 11061184, -123838400, 1508183168, -19854057984, 280973178112, ...

MCS427360 : A0 = 1; A1 = 2; AK+1 = - K AK + 2 AK-1 (score: 5)

2, 0, 5, 5, 12, 14, 23, 27, 38, 44, 57, 65, 80, 90, 107, 119, 138, 152, 173, 189, 212, 230, 255, 275, 302, 324, 353, 377, 408, 434, 467, 495, 530, 560, 597, 629, 668, 702, 743, 779, 822, 860, 905, ...

MCS250641 : A0 = -1; AK+1 = - AK + K2 + 1 (score: 5)

2, 0, 5, -1, 11, -6, 24, -22, 55, -67, 133, -188, 334, -508, 857, -1349, 2223, -3554, 5796, -9330, 15147, -24455, 39625, -64056, 103706, -167736, 271469, -439177, 710675, -1149822, 1860528, ...

MCS13846550 (alias MCS14078470) : A0 = 1; A1 = 0; AK+1 = - AK + AK-1 + K (score: 5)

2, 0, 5, -4, 25, -44, 195, -502, 2063, -6580, 27211, -99590, 426123, -1720792, 7686515, -33498394, 156482635, -725955332, 3542642763, -17335794070, 88188649331, -452240324800, ...

MCS871432 : A0 = 1; A1 = 2; AK+1 = - AK + K AK-1 + 1 (score: 5)

2, 0, 6, 0, 18, 0, 54, 0, 162, 0, 486, 0, 1458, 0, 4374, 0, 13122, 0, 39366, 0, 118098, 0, 354294, 0, 1062882, 0, 3188646, 0, 9565938, 0, 28697814, 0, 86093442, 0, 258280326, 0, 774840978, 0, ...

MCS53472 : A0 = 0; A1 = 2; AN = 3 AN-2 (score: 5)

Horadam sequence Wn(0, 2; 3, 0)

2, 0, 6, 0, 30, 0, 210, 0, 1890, 0, 20790, 0, 270270, 0, 4054050, 0, 68918850, 0, 1309458150, 0, 27498621150, 0, 632468286450, 0, ...

MCS106756 : A0 = 0; A1 = 2; AK+1 = K AK-1 + AK-1 (score: 5)

2, 0, 6, 3, 19, 9, 46, 12, 98, -5, 203, -87, 434, -352, 982, -1109, 2347, -3167, 5838, -8644, 14882, -23085, 38451, -61007, 100034, -160416, 261126, -420813, 682723, -1102695, 1786318, -2888052, ...

MCS864800 : A0 = 1; A1 = 2; AK+1 = - AK + AK-1 + K2 (score: 5)

2, 0, 6, -3, 31, -41, 233, -513, 2385, -6993, 30853, -107765, 478013, -1878945, 8571141, -36755301, 173893573, -798733673, 3928818005, -19104757773, 97681117893, -498881031105, ...

MCS865288 : A0 = 1; A1 = 2; AK+1 = - AK + K AK-1 + K (score: 5)

2, 0, 6, -4, 18, -24, 62, -108, 234, -448, 918, -1812, 3650, -7272, 14574, -29116, 58266, -116496, 233030, -466020, 932082, -1864120, 3728286, -7456524, 14913098, -29826144, 59652342, -119304628, ...

MCS7770 : A0 = 0; AK+1 = - 2 AK + 2 K (score: 4)

2, 0, 6, -6, 36, -72, 324, -900, 3816, -12816, 54792, -208584, 920880, -3841056, 17654256, -79111152, 379233504, -1803234240, 9008670816, -45073355616, 234255442752, ...

MCS864776 : A0 = 1; A1 = 2; AK+1 = - AK + K AK-1 + AK-1 (score: 5)

2, 0, 6, 27, 58, 98, 158, 245, 354, 484, 646, 847, 1082, 1350, 1662, 2025, 2434, 2888, 3398, 3971, 4602, 5290, 6046, 6877, 7778, 8748, 9798, 10935, 12154, 13454, 14846, 16337, 17922, 19600, 21382, ...

MCS213776 : A0 = 1; A1 = 2; AK+1 = - AK-1 + K3 (score: 5)

2, 0, 6, -16, 90, -528, 3710, -29664, 266994, -2669920, 29369142, -352429680, 4581585866, -64142202096, 962133031470, ...

MCS3861 (alias MCS61784, MCS123569) : A0 = 0; AK+1 = - K AK + 2 K (score: 4)

2, 0, 7, 7, 16, 18, 29, 33, 46, 52, 67, 75, 92, 102, 121, 133, 154, 168, 191, 207, 232, 250, 277, 297, 326, 348, 379, 403, 436, 462, 497, 525, 562, 592, 631, 663, 704, 738, 781, 817, 862, 900, ...

MCS503176 : A0 = 1; AK+1 = - AK + K2 - 2 (score: 5)

2, 0, 8, 0, 48, 0, 384, 0, 3840, 0, 46080, 0, 645120, 0, 10321920, 0, 185794560, 0, 3715891200, 0, 81749606400, 0, ...

MCS3328 : A0 = 0; A1 = 1; AK+1 = K AK-1 (score: 3)

Even semifactorials

2, 0, 8, 0, 48, 0, 384, 0, 3840, 0, 46080, 0, 645120, 0, 10321920, 0, 185794560, 0, 3715891200, 0, 81749606400, 0, ...

MCS3416214 : A0 = 1; A1 = 0; AK+1 = K AK-1 + AK-1 (score: 5)

Even semifactorials

2, 0, 8, 0, 64, 0, 768, 0, 12288, 0, 245760, 0, 5898240, 0, 165150720, 0, 5284823040, 0, 190253629440, 0, ...

MCS53258 : A0 = 0; A1 = 2; AK+1 = 2 K AK-1 (score: 5)

2, 0, 8, -8, 72, -152, 1016, -3144, 19400, -75992, 463992, -2135816, 13271624, -68802840, 440408312, -2504493512, 16597559496, -101750338904, 699262480760, ...

MCS432148 : A0 = 1; A1 = 2; AK+1 = - AK + 2 K AK-1 (score: 5)

2, 0, -1, 0, -3, 8, -45, 264, -1855, 14832, -133497, 1334960, -14684571, 176214840, -2290792933, 32071101048, -481066515735, ...

MCS500952 : A0 = 1; AK+1 = - K AK + AK - K + 1 (score: 5)

2, 0, -1, 0, -3, 8, -45, 264, -1855, 14832, -133497, 1334960, -14684571, 176214840, -2290792933, 32071101048, -481066515735, ...

MCS123746 : A0 = 2; AK+1 = - K AK - K (score: 4)

2, 0, -1, 0, -5, -8, -7, -18, -25, -24, -47, -62, -61, -108, -139, -138, -233, -296, -295, -486, -613, -612, -995, -1250, -1249, -2016, -2527, -2526, -4061, -5084, -5083, -8154, -10201, -10200, ...

MCS3195526 : A0 = 1; A1 = 1; A2 = 2; AK+1 = 2 AK-2 - K (score: 5)

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

MCS217280 (alias MCS869125, MCS1738249) : A0 = 1; A1 = 2; AN = - AN-2 + 1 (score: 3)

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

MCS3486469 : A0 = 0; A1 = -1; AN = - AN-1 - AN-2 + 1 (score: 5)

2, 0, -1, 2, 1, -3, 1, 4, -4, -3, 8, -1, -11, 9, 10, -20, -1, 30, -19, -31, 49, 12, -80, 37, 92, -117, -55, 209, -62, -264, 271, 202, -535, 69, 737, -604, -668, 1341, 64, -2009, 1277, 2073, -3286, ...

MCS1585414 : A0 = 1; A1 = 1; A2 = 2; AN = - AN-2 + AN-3 (score: 4)

2, 0, -1, 2, 4, 2, 1, 4, 6, 4, 3, 6, 8, 6, 5, 8, 10, 8, 7, 10, 12, 10, 9, 12, 14, 12, 11, 14, 16, 14, 13, 16, 18, 16, 15, 18, 20, 18, 17, 20, 22, 20, 19, 22, 24, 22, 21, 24, 26, 24, 23, 26, 28, ...

MCS438880 : A0 = 0; A1 = 2; AK+1 = - AK-1 + K - 1 (score: 5)

2, 0, -1, 2, -15, 116, -1165, 13974, -195643, 3130280, -56345049, 1126900970, -24791821351, 595003712412, ...

MCS494946 : A0 = 2; AK+1 = - 2 K AK - K (score: 5)

2, 0, -1, 4, 7, -2, -7, 12, 23, -14, -35, 40, 83, -66, -151, 148, 319, -278, -619, 576, 1259, -1130, -2495, 2284, 5015, -4542, -10003, 9112, 20035, -18194, -40039, 36420, 80111, -72806, -160187, ...

MCS3478208 : A0 = 1; A1 = 2; AK+1 = - 2 AK-1 + K + 1 (score: 5)

2, 0, -1, -1, 0, 2, 5, 9, 14, 20, 27, 35, 44, 54, 65, 77, 90, 104, 119, 135, 152, 170, 189, 209, 230, 252, 275, 299, 324, 350, 377, 405, 434, 464, 495, 527, 560, 594, 629, 665, 702, 740, 779, 819, ...

MCS2012290 : A0 = 2; AK+1 = AK + K - 2 (score: 5)

2, 0, -1, -1, -4, -6, -7, -11, -14, -16, -21, -25, -28, -34, -39, -43, -50, -56, -61, -69, -76, -82, -91, -99, -106, -116, -125, -133, -144, -154, -163, -175, -186, -196, -209, -221, -232, -246, ...

MCS6578438 : A0 = 1; A1 = 1; A2 = 2; AK+1 = AK-2 - K + 1 (score: 5)

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

MCS1537 (alias MCS6297781) : A0 = 0; A1 = 1; A2 = 2; AN = - AN-3 (score: 3)

2, 0, -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12, -13, -14, -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, ...

MCS123314 : A0 = 2; AK+1 = - K AK - K2 (score: 5)

2, 0, -1, -4, -15, -64, -325, -1956, -13699, -109600, -986409, -9864100, -108505111, -1302061344, -16926797485, -236975164804, ...

MCS123714 : A0 = 2; AK+1 = K AK - K (score: 4)

2, 0, -1, -5, -8, -14, -19, -27, -34, -44, -53, -65, -76, -90, -103, -119, -134, -152, -169, -189, -208, -230, -251, -275, -298, -324, -349, -377, -404, -434, -463, -495, -526, -560, -593, -629, ...

MCS3479168 : A0 = 1; A1 = 2; AK+1 = AK-1 - 2 K + 1 (score: 5)

2, 0, -1, -6, -27, -124, -645, -3906, -27391, -219192, -1972809, -19728190, -217010211, -2604122676, -33853594957, -473950329594, ...

MCS123186 : A0 = 2; AK+1 = K AK - K2 (score: 5)

2, 0, -1, -6, -39, -316, -3165, -37986, -531811, -8508984, -153161721, -3063234430, -67391157471, ...

MCS247458 : A0 = 2; AK+1 = 2 K AK - K (score: 5)

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

MCS26720 : A0 = 0; A1 = 2; AN = - AN-2 (score: 3)

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

2, 0, -2, 0, 6, 0, -30, 0, 210, 0, -1890, 0, 20790, 0, -270270, 0, 4054050, 0, -68918850, 0, 1309458150, 0, -27498621150, 0, 632468286450, 0, ...

MCS213516 (alias MCS106758) : A0 = 1; A1 = 2; AK+1 = - K AK-1 + AK-1 (score: 4)

2, 0, -2, 0, -6, 16, -90, 528, -3710, 29664, -266994, 2669920, -29369142, 352429680, -4581585866, 64142202096, -962133031470, ...

MCS494434 : A0 = 2; AK+1 = - K AK - 2 K (score: 5)

2, 0, -2, 2, 2, -4, 0, 6, -4, -6, 10, 2, -16, 8, 18, -24, -10, 42, -14, -52, 56, 38, -108, 18, 146, -126, -128, 272, 2, -400, 270, 402, -670, -132, 1072, -538, -1204, 1610, 666, -2814, 944, 3480, ...

MCS1585417 : A0 = 0; A1 = 0; A2 = 2; AN = - AN-2 + AN-3 (score: 5)

2, 0, -2, 2, 6, -2, -10, 6, 22, -10, -42, 22, 86, -42, -170, 86, 342, -170, -682, 342, 1366, -682, -2730, 1366, 5462, -2730, -10922, 5462, 21846, -10922, -43690, 21846, 87382, -43690, -174762, ...

MCS13637 (alias MCS1745600) : A0 = 0; A1 = 1; AN = - 2 AN-2 + 2 (score: 5)

2, 0, -2, 3, 12, -10, -66, 77, 536, -684, -5350, 7535, 64212, -97942, -898954, 1469145, 14383280, -24975448, -258899022, 474533531, 5177980460, -9965204130, -113915570098, 229199695013, ...

MCS214028 : A0 = 1; A1 = 2; AK+1 = - K AK-1 + K (score: 4)

2, 0, -2, 5, 12, -8, -28, 33, 94, -88, -270, 277, 824, -816, -2456, 2465, 7386, -7376, -22138, 22149, 66436, -66424, -199284, 199297, 597878, -597864, -1793606, 1793621, 5380848, -5380832, ...

MCS1714113 : A0 = 0; A1 = 0; AK+1 = - 3 AK-1 + K (score: 5)

2, 0, -2, -1, 0, -2, -4, -3, -2, -4, -6, -5, -4, -6, -8, -7, -6, -8, -10, -9, -8, -10, -12, -11, -10, -12, -14, -13, -12, -14, -16, -15, -14, -16, -18, -17, -16, -18, -20, -19, -18, -20, -22, -21, ...

MCS1746624 : A0 = 1; A1 = 2; AK+1 = - AK-1 - K + 2 (score: 5)

2, 0, -2, -1, 3, 4, -1, -6, -2, 8, 9, -5, -16, -3, 22, 20, -18, -41, -1, 60, 43, -58, -102, 16, 161, 87, -176, -247, 90, 424, 158, -513, -581, 356, 1095, 226, -1450, -1320, 1225, 2771, 96, -3995, ...

MCS25649 : A0 = 0; A1 = 1; A2 = 2; AN = - AN-2 - AN-3 + 1 (score: 5)

2, 0, -2, -2, 2, 4, 0, -6, -4, 6, 10, -2, -16, -8, 18, 24, -10, -42, -14, 52, 56, -38, -108, -18, 146, 126, -128, -272, 2, 400, 270, -402, -670, 132, 1072, 538, -1204, -1610, 666, 2814, 944, ...

MCS1585545 : A0 = 0; A1 = 0; A2 = 2; AN = - AN-2 - AN-3 (score: 5)

2, 0, -2, -4, 0, 4, 8, 0, -8, -16, 0, 16, 32, 0, -32, -64, 0, 64, 128, 0, -128, -256, 0, 256, 512, 0, -512, -1024, 0, 1024, 2048, 0, -2048, -4096, 0, 4096, 8192, 0, -8192, -16384, 0, 16384, 32768, ...

MCS6149 (alias MCS787137) : A0 = 0; A1 = 1; A2 = 2; AN = - 2 AN-3 (score: 4)


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Quick Index:
    Sequences Beginning 2,0,...
    Sequences Beginning 2,1,...
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    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.
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