Minimally Complex Sequences  


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2, 7, 18, 41, 88, 183, 374, 757, 1524, 3059, 6130, 12273, 24560, 49135, 98286, 196589, 393196, 786411, 1572842, 3145705, 6291432, 12582887, 25165798, 50331621, 100663268, 201326563, 402653154, ...

MCS7850 : A0 = 0; AK+1 = 2 AK + K + 2 (score: 5)

2, 7, 20, 49, 110, 235, 488, 997, 2018, 4063, 8156, 16345, 32726, 65491, 131024, 262093, 524234, 1048519, 2097092, 4194241, 8388542, 16777147, 33554360, 67108789, 134217650, 268435375, 536870828, ...

MCS124272 : A0 = 1; AK+1 = 2 AK + 3 K (score: 5)

2, 7, 20, 61, 182, 547, 1640, 4921, 14762, 44287, 132860, 398581, 1195742, 3587227, 10761680, 32285041, 96855122, 290565367, 871696100, 2615088301, 7845264902, 23535794707, 70607384120, ...

MCS6739 : A0 = 0; A1 = 1; AN = 2 AN-1 + 3 AN-2 (score: 6)

A15518

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

2, 7, 21, 44, 82, 135, 209, 304, 426, 575, 757, 972, 1226, 1519, 1857, 2240, 2674, 3159, 3701, 4300, 4962, 5687, 6481, 7344, 8282, 9295, 10389, 11564, 12826, 14175, 15617, 17152, 18786, 20519, ...

MCS125316 : A0 = 1; AK+1 = - AK + K3 + 1 (score: 5)

2, 7, 22, 59, 142, 319, 686, 1435, 2950, 5999, 12118, 24379, 48926, 98047, 196318, 392891, 786070, 1572463, 3145286, 6290971, 12582382, 25165247, 50331022, 100662619, 201325862, 402652399, ...

MCS252552 : A0 = 1; AK+1 = 2 AK + K2 - 1 (score: 5)

2, 7, 22, 67, 202, 607, 1822, 5467, 16402, 49207, 147622, 442867, 1328602, 3985807, 11957422, 35872267, 107616802, 322850407, 968551222, 2905653667, 8716961002, 26150883007, 78452649022, ...

MCS250754 : A0 = 2; AN = 3 AN-1 + 1 (score: 5)

2, 7, 23, 76, 251, 829, 2738, 9043, 29867, 98644, 325799, 1076041, 3553922, 11737807, 38767343, 128039836, 422886851, 1396700389, 4612988018, 15235664443, 50319981347, 166195608484, 548906806799, ...

MCS433280 : A0 = 1; A1 = 2; AN = 3 AN-1 + AN-2 (score: 5)

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

2, 7, 26, 115, 606, 3757, 26912, 219061, 1998470, 20203771, 224239962, 2711083327, 35468323226, 499267608505, ...

MCS6692 : A0 = 0; A1 = 1; AK+1 = K AK + AK-1 + K (score: 5)

2, 7, 29, 147, 889, 6252, 50163, 452356, 4529812, 49878095, 598989496, 7791393260, 109129383735, ...

MCS197153 : A0 = 0; A1 = 1; A2 = 1; AK+1 = K AK + AK-2 (score: 5)

2, 7, 30, 153, 922, 6459, 51678, 465109, 4651098, 51162087, 613945054, 7981285713, 111737999994, ...

MCS248464 : A0 = 1; AK+1 = K AK + 2 AK + K (score: 5)

2, 7, 30, 157, 972, 6961, 56660, 516901, 5225670, 57999271, 701216922, 9173819257, 129134686520, ...

MCS6756 : A0 = 0; A1 = 1; AK+1 = K AK - AK + AK-1 (score: 5)

2, 7, 30, 157, 972, 6961, 56660, 516901, 5225670, 57999271, 701216922, 9173819257, 129134686520, ...

MCS3417110 : A0 = 1; A1 = 0; AK+1 = K AK + AK-1 (score: 5)

2, 7, 30, 157, 972, 6961, 56660, 516901, 5225670, 57999271, 701216922, 9173819257, 129134686520, ...

MCS6724 : A0 = 0; A1 = 1; AK+1 = K AK + AK + AK-1 (score: 5)

2, 7, 33, 191, 1304, 10241, 90865, 898409, 9791634, 116601199, 1506023953, 20967734143, 313009988192, ...

MCS3443974 : A0 = 1; A1 = 1; AK+1 = K AK + AK - AK-1 (score: 5)

2, 7, 33, 191, 1304, 10241, 90865, 898409, 9791634, 116601199, 1506023953, 20967734143, 313009988192, ...

MCS1670 : A0 = 0; A1 = 1; AK+1 = K AK - AK-1 (score: 4)

2, 7, 34, 202, 1407, 11222, 100796, 1006553, 11060861, 132629536, 1723177415, 24113422949, 361568714699, ...

MCS6309430 : A0 = 1; A1 = 1; A2 = 1; AK+1 = K AK - AK-2 (score: 5)

2, 7, 34, 203, 1420, 11359, 102230, 1022299, 11245288, 134943455, 1754264914, 24559708795, 368395631924, ...

MCS252560 : A0 = 1; AK+1 = K AK + 2 AK - 1 (score: 5)

2, 7, 36, 253, 2278, 25059, 325768, 4886521, 83070858, 1578346303, 33145272364, 762341264373, ...

MCS15666 : A0 = 0; AK+1 = 2 K AK - AK + 1 (score: 5)

2, 7, 36, 253, 2278, 25059, 325768, 4886521, 83070858, 1578346303, 33145272364, 762341264373, ...

MCS250408 : A0 = 1; AK+1 = 2 K AK + AK + 1 (score: 5)

2, 7, 40, 313, 3090, 36767, 511648, 8149601, 146181170, 2915473799, 63994242408, ...

MCS6682 : A0 = 0; A1 = 1; AK+1 = 2 K AK - AK-1 (score: 5)

2, 7, 40, 317, 3166, 37987, 531812, 8508985, 153161722, 3063234431, 67391157472, ...

MCS15642 (alias MCS250280) : A0 = 0; AK+1 = 2 K AK - K + 1 (score: 5)

2, 7, -10, -47, 82, 425, -818, -4673, 9818, 60751, -137450, -911263, 2199202, 15491473, -39585634, -294337985, 791712682, 6181097687, -17417679002, -142165246799, 418024296050, ...

MCS1744950 : A0 = 1; A1 = 1; AK+1 = - K AK-1 + 2 (score: 5)

2, 7, -16, -49, 104, 383, -946, -3841, 10394, 46079, -135136, -645121, 2027024, 10321919, -34459426, -185794561, 654729074, 3715891199, -13749310576, -81749606401, 316234143224, ...

MCS878093 : A0 = 0; A1 = 0; AK+1 = - K AK-1 - K - 1 (score: 5)

2, 8, 13, 16, 22, 32, 41, 48, 58, 72, 85, 96, 110, 128, 145, 160, 178, 200, 221, 240, 262, 288, 313, 336, 362, 392, 421, 448, 478, 512, 545, 576, 610, 648, 685, 720, 758, 800, 841, 880, 922, 968, ...

MCS13708 : A0 = 0; A1 = 1; AK+1 = - AK-1 + K2 - 1 (score: 5)

2, 8, 16, 24, 34, 48, 64, 80, 98, 120, 144, 168, 194, 224, 256, 288, 322, 360, 400, 440, 482, 528, 576, 624, 674, 728, 784, 840, 898, 960, 1024, 1088, 1154, 1224, 1296, 1368, 1442, 1520, 1600, ...

MCS427601 : A0 = 0; A1 = 0; AK+1 = - AK-1 + 2 K2 (score: 5)

2, 8, 17, 29, 44, 62, 83, 107, 134, 164, 197, 233, 272, 314, 359, 407, 458, 512, 569, 629, 692, 758, 827, 899, 974, 1052, 1133, 1217, 1304, 1394, 1487, 1583, 1682, 1784, 1889, 1997, 2108, 2222, ...

MCS124129 : A0 = -1; AK+1 = AK + 3 K (score: 5)

2, 8, 18, 32, 50, 72, 98, 128, 162, 200, 242, 288, 338, 392, 450, 512, 578, 648, 722, 800, 882, 968, 1058, 1152, 1250, 1352, 1458, 1568, 1682, 1800, 1922, 2048, 2178, 2312, 2450, 2592, 2738, 2888, ...

MCS1762 : AK = 2 K2 (score: 3)

2 N2; number of electrons per ''shell'' (A1105)

2, 8, 20, 40, 70, 112, 168, 240, 330, 440, 572, 728, 910, 1120, 1360, 1632, 1938, 2280, 2660, 3080, 3542, 4048, 4600, 5200, 5850, 6552, 7308, 8120, 8990, 9920, 10912, 11968, 13090, 14280, 15540, ...

MCS7752 (alias MCS7756, MCS427089) : A0 = 0; AK+1 = AK + K2 + K (score: 4)

2, 8, 22, 46, 84, 138, 212, 308, 430, 580, 762, 978, 1232, 1526, 1864, 2248, 2682, 3168, 3710, 4310, 4972, 5698, 6492, 7356, 8294, 9308, 10402, 11578, 12840, 14190, 15632, 17168, 18802, 20536, ...

MCS15568 : A0 = 0; AK+1 = - AK + K3 + K (score: 5)

2, 8, 22, 52, 114, 240, 494, 1004, 2026, 4072, 8166, 16356, 32738, 65504, 131038, 262108, 524250, 1048536, 2097110, 4194260, 8388562, 16777168, 33554382, 67108812, 134217674, 268435400, 536870854, ...

MCS3882 : A0 = 0; AK+1 = 2 AK + 2 K (score: 4)

2, 8, 23, 51, 96, 162, 253, 373, 526, 716, 947, 1223, 1548, 1926, 2361, 2857, 3418, 4048, 4751, 5531, 6392, 7338, 8373, 9501, 10726, 12052, 13483, 15023, 16676, 18446, 20337, 22353, 24498, 26776, ...

MCS248212 : A0 = 1; AK+1 = AK + 2 K2 - K (score: 5)

2, 8, 24, 80, 256, 832, 2688, 8704, 28160, 91136, 294912, 954368, 3088384, 9994240, 32342016, 104660992, 338690048, 1096024064, 3546808320, 11477712896, 37142659072, 120196169728, 388962975744, ...

MCS26955 : A0 = 0; A1 = 1; AN = 2 AN-1 + 4 AN-2 (score: 7)

Horadam sequence Wn(0, 1; 4, 2), Lucas sequence Un(2, -4)

2, 8, 26, 80, 242, 728, 2186, 6560, 19682, 59048, 177146, 531440, 1594322, 4782968, 14348906, 43046720, 129140162, 387420488, 1162261466, 3486784400, 10460353202, 31381059608, 94143178826, ...

MCS1963 : A0 = 0; AN = 3 AN-1 + 2 (score: 5)

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

MCS1930 (alias MCS61776, MCS123553) : A0 = 0; AK+1 = K AK + 2 K (score: 4)

2, 8, 32, 128, 512, 2048, 8192, 32768, 131072, 524288, 2097152, 8388608, 33554432, 134217728, 536870912, 2147483648, 8589934592, 34359738368, 137438953472, 549755813888, ...

MCS248706 : A0 = 2; AN = 4 AN-1 (score: 5)

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

MCS124200 : A0 = 1; AK+1 = 2 K AK + 2 AK (score: 5)

Even semifactorials (A0165)

2, 8, 53, 473, 5198, 67568, 1013513, 17229713, 327364538, 6874655288, 158117071613, ...

MCS248232 : A0 = 1; AK+1 = 2 K AK + AK - K (score: 5)

2, 9, 8, -20, -12, 189, 160, -1620, -1500, 17941, 18144, -233064, -253820, 3496185, 4061376, -59434856, -73104444, 1129262625, 1462089280, -23714514684, -32165963676, 545433838261, 771983128800, ...

MCS852534 : A0 = 1; A1 = 1; AK+1 = - K AK-1 + K2 (score: 5)

2, 9, 13, 15, 22, 33, 41, 47, 58, 73, 85, 95, 110, 129, 145, 159, 178, 201, 221, 239, 262, 289, 313, 335, 362, 393, 421, 447, 478, 513, 545, 575, 610, 649, 685, 719, 758, 801, 841, 879, 922, 969, ...

MCS3509382 : A0 = 1; A1 = 1; AK+1 = - AK-1 + K2 - 1 (score: 5)

2, 9, 20, 35, 54, 77, 104, 135, 170, 209, 252, 299, 350, 405, 464, 527, 594, 665, 740, 819, 902, 989, 1080, 1175, 1274, 1377, 1484, 1595, 1710, 1829, 1952, 2079, 2210, 2345, 2484, 2627, 2774, ...

MCS28370 : AK = 2 K2 + K - 1 (score: 5)

2, 9, 20, 41, 70, 113, 168, 241, 330, 441, 572, 729, 910, 1121, 1360, 1633, 1938, 2281, 2660, 3081, 3542, 4049, 4600, 5201, 5850, 6553, 7308, 8121, 8990, 9921, 10912, 11969, 13090, 14281, 15540, ...

MCS13346 : A0 = 0; A1 = 1; AK+1 = AK-1 + 2 K2 (score: 5)

2, 9, 20, 95, 246, 1337, 3944, 24075, 78890, 529661, 1893372, 13771199, 53014430, 413135985, 1696461776, 14046623507, 61072623954, 533771693285, ...

MCS428053 : A0 = 0; A1 = 0; AK+1 = 2 K AK-1 + K (score: 5)

2, 9, 28, 65, 126, 217, 344, 513, 730, 1001, 1332, 1729, 2198, 2745, 3376, 4097, 4914, 5833, 6860, 8001, 9262, 10649, 12168, 13825, 15626, 17577, 19684, 21953, 24390, 27001, 29792, 32769, 35938, ...

MCS3536 : AK = K3 + 1 (score: 4)

2, 9, 29, 73, 154, 289, 497, 801, 1226, 1801, 2557, 3529, 4754, 6273, 8129, 10369, 13042, 16201, 19901, 24201, 29162, 34849, 41329, 48673, 56954, 66249, 76637, 88201, 101026, 115201, 130817, ...

MCS854086 : A0 = 1; A1 = 1; AK+1 = AK-1 + K3 (score: 5)

2, 9, 56, 457, 4626, 55969, 788192, 12667041, 228794930, 4588565641, 101177239032, ...

MCS6674 : A0 = 0; A1 = 1; AK+1 = 2 K AK + AK-1 (score: 5)

2, -1, 0, 1, -2, -1, 0, -3, -2, -1, -4, -3, -2, -5, -4, -3, -6, -5, -4, -7, -6, -5, -8, -7, -6, -9, -8, -7, -10, -9, -8, -11, -10, -9, -12, -11, -10, -13, -12, -11, -14, -13, -12, -15, -14, -13, ...

MCS3264 : A0 = 0; A1 = 1; A2 = 2; AN = AN-3 - 1 (score: 4)

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

MCS435808 (alias MCS786961, MCS1743233) : A0 = 0; A1 = 2; AN = - AN-1 - AN-2 + 1 (score: 5)

2, -1, 0, 2, -3, 3, -1, -2, 5, -6, 4, 1, -7, 11, -10, 3, 8, -18, 21, -13, -5, 26, -39, 34, -8, -31, 65, -73, 42, 23, -96, 138, -115, 19, 119, -234, 253, -134, -100, 353, -487, 387, -34, -453, 840, ...

MCS202785 : A0 = 0; A1 = 1; A2 = 1; AN = - AN-1 + AN-3 (score: 4)

2, -1, 0, 5, -2, -5, 12, 1, -22, 23, 24, -67, 22, 115, -156, -71, 386, -241, -528, 1013, 46, -2069, 1980, 2161, -6118, 1799, 10440, -14035, -6842, 34915, -21228, -48599, 91058, 6143, -188256, ...

MCS12386 : A0 = 0; A1 = 1; A2 = 2; AN = - AN-2 + 2 AN-3 (score: 5)

2, -1, 0, 7, 12, 13, 18, 29, 38, 43, 52, 67, 80, 89, 102, 121, 138, 151, 168, 191, 212, 229, 250, 277, 302, 323, 348, 379, 408, 433, 462, 497, 530, 559, 592, 631, 668, 701, 738, 781, 822, 859, ...

MCS858912 : A0 = 1; A1 = 2; AK+1 = - AK-1 + K2 - K (score: 5)

2, -1, 0, -1, 0, -3, 0, -15, 0, -105, 0, -945, 0, -10395, 0, -135135, 0, -2027025, 0, -34459425, 0, -654729075, 0, -13749310575, 0, -316234143225, 0, ...

MCS854792 : A0 = 1; A1 = 2; AK+1 = K AK-1 - 2 AK-1 (score: 5)

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

MCS126050 : A0 = 2; AK+1 = - K AK - 1 (score: 4)

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

MCS6297750 : A0 = 1; A1 = 0; A2 = 2; AN = - AN-3 (score: 5)

2, -1, 0, -3, -2, -5, -4, -7, -6, -9, -8, -11, -10, -13, -12, -15, -14, -17, -16, -19, -18, -21, -20, -23, -22, -25, -24, -27, -26, -29, -28, -31, -30, -33, -32, -35, -34, -37, -36, -39, -38, -41, ...

MCS874624 (alias MCS2005698) : A0 = 1; A1 = 2; AN = AN-2 - 2 (score: 4)

2, -1, 0, -3, -6, -9, -16, -23, -34, -49, -68, -95, -130, -177, -240, -323, -434, -581, -776, -1035, -1378, -1833, -2436, -3235, -4294, -5697, -7556, -10019, -13282, -17605, -23332, -30919, ...

MCS12496 : A0 = 0; A1 = 1; A2 = 2; AK+1 = AK-1 + AK-2 - K (score: 5)

2, -1, 0, -4, 0, -5, 3, -6, 7, -10, 12, -18, 21, -31, 38, -53, 68, -92, 120, -161, 211, -282, 371, -494, 652, -866, 1145, -1519, 2010, -2665, 3528, -4676, 6192, -8205, 10867, -14398, 19071, ...

MCS6693254 : A0 = 1; A1 = 1; A2 = 2; AN = AN-2 - AN-3 - 1 (score: 5)

2, -1, 0, -4, -4, -9, -10, -16, -18, -25, -28, -36, -40, -49, -54, -64, -70, -81, -88, -100, -108, -121, -130, -144, -154, -169, -180, -196, -208, -225, -238, -256, -270, -289, -304, -324, -340, ...

MCS107328 : A0 = 0; A1 = 2; AK+1 = AK-1 - K (score: 4)

2, -1, 0, -5, 2, -5, 12, -9, 22, -33, 40, -77, 106, -157, 260, -369, 574, -889, 1312, -2037, 3090, -4661, 7164, -10841, 16486, -25169, 38168, -58141, 88506, -134477, 204788, -311489, 473742, ...

MCS6325638 : A0 = 1; A1 = 1; A2 = 2; AN = AN-2 - 2 AN-3 (score: 5)

2, -1, 0, -5, -4, -25, -26, -157, -190, -1265, -1720, -12661, -18932, -151945, -246130, -2127245, -3691966, -34035937, -62763440, -612646885, -1192505380, -12252937721, -25042613002, ...

MCS858888 : A0 = 1; A1 = 2; AK+1 = K AK-1 - AK-1 - K (score: 5)

2, -1, 0, -9, -8, -55, -60, -399, -496, -3609, -4980, -39721, -59784, -516399, -837004, -7746015, -13392096, -131682289, -241057764, -2501963529, -4821155320, -52541234151, -106065417084, ...

MCS857608 : A0 = 1; A1 = 2; AK+1 = K AK-1 - 2 K (score: 5)

2, -1, 0, 11, 16, 3, 4, 43, 56, -5, -12, 131, 168, -93, -140, 411, 536, -533, -748, 1427, 1896, -2413, -3308, 5355, 7192, -10085, -13708, 20899, 28200, -40957, -55500, 82875, 112024, -164661, ...

MCS854816 : A0 = 1; A1 = 2; AK+1 = - 2 AK-1 + K2 (score: 5)

2, -1, 1, 2, 5, 16, 65, 326, 1957, 13700, 109601, 986410, 9864101, 108505112, 1302061345, 16926797486, 236975164805, ...

MCS501314 : A0 = 2; AK+1 = K AK - AK + 1 (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, 1, 2, -1, ...

MCS786953 (alias MCS1748160) : A0 = -1; A1 = 1; A2 = 2; AN = AN-3 (score: 5)

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

MCS432736 : A0 = 0; A1 = 2; AK+1 = - AK - AK-1 + K (score: 5)

2, -1, 1, 3, -3, 1, 5, -7, 1, 9, -15, 1, 17, -31, 1, 33, -63, 1, 65, -127, 1, 129, -255, 1, 257, -511, 1, 513, -1023, 1, 1025, -2047, 1, 2049, -4095, 1, 4097, -8191, 1, 8193, -16383, 1, 16385, ...

MCS13058 : A0 = 0; A1 = 1; A2 = 2; AN = 2 AN-3 - 1 (score: 5)

2, -1, 1, 9, 14, 15, 21, 33, 42, 47, 57, 73, 86, 95, 109, 129, 146, 159, 177, 201, 222, 239, 261, 289, 314, 335, 361, 393, 422, 447, 477, 513, 546, 575, 609, 649, 686, 719, 757, 801, 842, 879, ...

MCS877344 : A0 = 1; A1 = 2; AK+1 = - AK-1 + K2 - 1 (score: 5)

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

MCS504418 : A0 = 2; AK+1 = - K AK + K - 1 (score: 5)

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

MCS7853 (alias MCS109632, MCS501442) : A0 = 0; AK+1 = - AK - K + 2 (score: 4)

2, -1, 1, -2, 4, -4, 7, -10, 15, -21, 32, -46, 68, -99, 146, -213, 313, -458, 672, -984, 1443, -2114, 3099, -4541, 6656, -9754, 14296, -20951, 30706, -45001, 65953, -96658, 141660, -207612, ...

MCS25793 : A0 = 0; A1 = 1; A2 = 2; AN = - AN-1 - AN-3 + 1 (score: 5)

2, -1, 1, -3, 2, -13, 9, -79, 62, -633, 557, -6331, 6126, -75973, 79637, -1063623, 1194554, -17017969, 20307417, -306323443, 385840922, -6126468861, 8102659361, -134782314943, 186361165302, ...

MCS877320 : A0 = 1; A1 = 2; AK+1 = K AK-1 - AK-1 - 1 (score: 5)

2, -1, 1, -4, -4, -11, -13, -22, -26, -37, -43, -56, -64, -79, -89, -106, -118, -137, -151, -172, -188, -211, -229, -254, -274, -301, -323, -352, -376, -407, -433, -466, -494, -529, -559, -596, ...

MCS501298 : A0 = 2; AK+1 = - AK - K2 + 1 (score: 5)

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

MCS504162 : A0 = 2; AK+1 = - 2 K AK - 1 (score: 5)

2, -1, 1, -7, -1, -41, -13, -295, -113, -2665, -1141, -29327, -13705, -381265, -191885, -5718991, -3070177, -97222865, -55263205, -1847234455, -1105264121, -38791923577, -24315810685, ...

MCS878088 : A0 = 1; A1 = 2; AK+1 = K AK-1 - K - 1 (score: 5)

2, -1, 2, 0, -1, 3, -3, 2, 1, -4, 6, -5, 1, 5, -10, 11, -6, -4, 15, -21, 17, -2, -19, 36, -38, 19, 17, -55, 74, -57, 2, 72, -129, 131, -59, -70, 201, -260, 190, 11, -271, 461, -450, 179, 282, ...

MCS1622278 : A0 = 1; A1 = 1; A2 = 2; AN = - AN-1 + AN-3 (score: 4)

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

MCS3486912 : A0 = 1; A1 = 2; AK+1 = - AK - AK-1 + K + 1 (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, ...

MCS62657 (alias MCS125314, MCS854037) : A0 = -1; AN = - AN-1 + 1 (score: 3)

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

2, -1, 2, -4, 5, -7, 11, -16, 23, -34, 50, -73, 107, -157, 230, -337, 494, -724, 1061, -1555, 2279, -3340, 4895, -7174, 10514, -15409, 22583, -33097, 48506, -71089, 104186, -152692, 223781, ...

MCS12979309 : A0 = -1; A1 = -1; A2 = -1; AN = - AN-1 - AN-3 (score: 5)

2, -1, 2, -5, 0, -15, -6, -37, -20, -83, -50, -177, -112, -367, -238, -749, -492, -1515, -1002, -3049, -2024, -6119, -4070, -12261, -8164, -24547, -16354, -49121, -32736, -98271, -65502, -196573, ...

MCS214688 : A0 = 0; A1 = 2; AK+1 = 2 AK-1 - K (score: 5)

2, -1, 2, -5, 4, -13, 12, -31, 36, -75, 102, -187, 278, -477, 742, -1233, 1960, -3209, 5152, -8379, 13512, -21911, 35402, -57335, 92714, -150073, 242762, -392861, 635596, -1028485, 1664052, ...

MCS3487360 : A0 = 1; A1 = 2; AK+1 = - AK + AK-1 - K + 1 (score: 5)

2, -1, 2, -5, 6, -27, 34, -191, 270, -1721, 2698, -18933, 32374, -246131, 453234, -3691967, 7251742, -62763441, 130531354, -1192505381, 2610627078, -25042613003, 57433795714, -575980099071, ...

MCS874504 : A0 = 1; A1 = 2; AK+1 = K AK-1 - 2 (score: 5)

2, -1, 2, -5, 8, -15, 28, -51, 94, -173, 318, -585, 1076, -1979, 3640, -6695, 12314, -22649, 41658, -76621, 140928, -259207, 476756, -876891, 1612854, -2966501, 5456246, -10035601, 18458348, ...

MCS25377 : A0 = 0; A1 = 1; A2 = 2; AN = - AN-1 + AN-2 - AN-3 (score: 5)

2, -1, 2, -6, 4, -35, 18, -252, 136, -2277, 1350, -25058, 16188, -325767, 226618, -4886520, 3625872, -83070857, 65265678, -1578346302, 1305313540, -33145272363, 28716897858, -762341264372, ...

MCS107268 : A0 = 0; A1 = 2; AK+1 = K AK-1 - K (score: 5)

2, -1, 2, -7, 26, -133, 794, -5563, 44498, -400489, 4004882, -44053711, 528644522, -6872378797, 96213303146, ...

MCS15693 (alias MCS251096) : A0 = 0; AK+1 = - K AK - K + 2 (score: 5)

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, 175, ...

MCS12896 : A0 = 0; A1 = 1; A2 = 2; AN = - AN-1 + AN-3 + 1 (score: 5)

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

MCS126368 (alias MCS15862, MCS501378) : A0 = 1; AK+1 = - AK + K - 1 (score: 3)

2, -1, 3, 2, 8, 9, 17, 20, 30, 35, 47, 54, 68, 77, 93, 104, 122, 135, 155, 170, 192, 209, 233, 252, 278, 299, 327, 350, 380, 405, 437, 464, 498, 527, 563, 594, 632, 665, 705, 740, 782, 819, 863, ...

MCS501282 : A0 = 2; AK+1 = - AK + K2 + 1 (score: 5)

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

MCS1731264 : A0 = 1; A1 = 2; AK+1 = - AK - AK-1 + 2 K (score: 5)

2, -1, 3, -1, 7, -4, 12, -11, 24, -26, 48, -60, 99, -133, 208, -291, 441, -631, 941, -1362, 2014, -2933, 4318, -6308, 9266, -13558, 19893, -29131, 42718, -62581, 91743, -134429, 197043, -288752, ...

MCS6504838 : A0 = 1; A1 = 1; A2 = 2; AK+1 = - AK - AK-2 + K (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, ...

MCS812065 : A0 = 0; A1 = 1; A2 = 1; AN = - AN-1 + AN-2 + AN-3 (score: 5)

2, -1, 3, -3, 5, -7, 9, -15, 17, -31, 33, -63, 65, -127, 129, -255, 257, -511, 513, -1023, 1025, -2047, 2049, -4095, 4097, -8191, 8193, -16383, 16385, -32767, 32769, -65535, 65537, -131071, ...

MCS219296 : A0 = 0; A1 = 2; AN = 2 AN-2 - 1 (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, ...

MCS216192 : A0 = 1; A1 = 2; AN = - AN-1 + AN-2 (score: 3)

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

2, -1, 3, -4, 11, -21, 65, -148, 519, -1333, 5189, -14664, 62267, -190633, 871737, -2859496, 13947791, -48611433, 251060237, -923617228, 5021204739, -19395961789, 110466504257, -446107121148, ...

MCS109572 : A0 = 0; A1 = 2; AK+1 = K AK-1 - 1 (score: 5)

2, -1, 3, -8, 10, -31, 45, -114, 196, -433, 815, -1692, 3310, -6707, 13313, -26742, 53352, -106853, 213539, -427264, 854322, -1708871, 3417493, -6835258, 13670220, -27340761, 54681175, -109362724, ...

MCS1731904 : A0 = 1; A1 = 2; AK+1 = - AK + 2 AK-1 - K (score: 5)

2, -1, 3, -8, 33, -164, 985, -6894, 55153, -496376, 4963761, -54601370, 655216441, -8517813732, 119249392249, ...

MCS501346 : A0 = 2; AK+1 = - K AK - AK + 1 (score: 5)

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

MCS1002818 : A0 = 2; AK+1 = - AK + 2 K + 1 (score: 5)

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, ...

MCS12688 : A0 = 0; A1 = 1; A2 = 2; AN = - AN-1 + AN-2 + AN-3 (score: 5)

2, -1, 4, -3, 10, -9, 24, -27, 58, -77, 144, -211, 366, -565, 944, -1495, 2454, -3933, 6404, -10319, 16742, -27041, 43804, -70823, 114650, -185449, 300124, -485547, 785698, -1271217, 2056944, ...

MCS3519616 : A0 = 1; A1 = 2; AK+1 = - AK + AK-1 + K - 1 (score: 5)

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, ...

MCS3404 (alias MCS435776, MCS791649, MCS871553, MCS1743105, MCS13944854)

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

2, -1, 4, -7, 14, -29, 56, -115, 226, -457, 908, -1823, 3638, -7285, 14560, -29131, 58250, -116513, 233012, -466039, 932062, -1864141, 3728264, -7456547, 14913074, -29826169, 59652316, -119304655, ...

MCS1759552 : A0 = 1; A1 = 2; AN = - AN-1 + 2 AN-2 - 1 (score: 5)

2, -1, 4, -13, 56, -293, 1814, -12991, 105742, -964669, 9752432, -108241421, 1308649484, -17120684713, 240998235466, ...

MCS213600 : A0 = 1; A1 = 2; AK+1 = - K AK + AK-1 (score: 4)

2, -1, 4, -19, 134, -1205, 13256, -172327, 2584906, -43943401, 834924620, -17533417019, 403268591438, ...

MCS500824 : A0 = 1; AK+1 = - 2 K AK + AK + 1 (score: 5)

2, -1, 5, -3, 12, -10, 28, -31, 67, -89, 166, -244, 422, -653, 1089, -1727, 2832, -4542, 7392, -11915, 19327, -31221, 50570, -81768, 132362, -214105, 346493, -560571, 907092, -1467634, 2374756, ...

MCS432704 : A0 = 0; A1 = 2; AK+1 = - AK + AK-1 + K (score: 5)

2, -1, 5, -8, 28, -68, 236, -712, 2600, -9008, 35008, -134096, 554192, -2297440, 10056128, -44517728, 205415776, -962217152, 4659701120, -22941827008, 116135849408, -597914216576, ...

MCS216072 : A0 = 1; A1 = 2; AK+1 = - AK + K AK-1 (score: 4)

2, -1, 6, -3, 14, -11, 32, -35, 76, -101, 188, -277, 478, -741, 1234, -1959, 3210, -5151, 8380, -13511, 21912, -35401, 57336, -92713, 150074, -242761, 392862, -635595, 1028486, -1664051, 2692568, ...

MCS3461637 : A0 = 0; A1 = -1; AK+1 = - AK + AK-1 + K (score: 5)

2, -1, 6, -7, 20, -33, 74, -139, 288, -565, 1142, -2271, 4556, -9097, 18210, -36403, 72824, -145629, 291278, -582535, 1165092, -2330161, 4660346, -9320667, 18641360, -37282693, 74565414, ...

MCS15702 : A0 = 0; AK+1 = - 2 AK + K + 2 (score: 5)

2, -1, 6, -21, 108, -645, 4518, -36141, 325272, -3252717, 35779890, -429358677, 5581662804, -78143279253, ...

MCS213384 : A0 = 1; A1 = 2; AK+1 = - K AK + K AK-1 (score: 5)

2, -1, 8, -25, 134, -793, 5564, -44497, 400490, -4004881, 44053712, -528644521, 6872378798, -96213303145, ...

MCS15765 (alias MCS252248) : A0 = 0; AK+1 = - K AK + 2 K - 1 (score: 5)

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

MCS6652166 : A0 = 1; A1 = 1; A2 = 2; AN = AN-3 - 2 (score: 5)

2, -1, -1, 1, -2, -2, 0, -3, -3, -1, -4, -4, -2, -5, -5, -3, -6, -6, -4, -7, -7, -5, -8, -8, -6, -9, -9, -7, -10, -10, -8, -11, -11, -9, -12, -12, -10, -13, -13, -11, -14, -14, -12, -15, -15, -13, ...

MCS1671433 : A0 = 0; A1 = 0; A2 = 2; AN = AN-3 - 1 (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, ...

MCS1730061 : A0 = -1; A1 = -1; AN = - AN-1 - AN-2 (score: 4)

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

2, -1, -1, 3, 0, -4, 3, 4, -7, -1, 11, -6, -12, 17, 6, -29, 11, 35, -40, -24, 75, -16, -99, 91, 83, -190, 8, 273, -198, -265, 471, 67, -736, 404, 803, -1140, -399, 1943, -741, -2342, 2684, 1601, ...

MCS3096 : A0 = 0; A1 = 1; A2 = 2; AN = - AN-2 + AN-3 (score: 4)

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

MCS877760 : A0 = 1; A1 = 2; AK+1 = - AK-1 + K - 1 (score: 4)

2, -1, -1, 3, -4, 3, 0, -4, 7, -7, 3, 4, -11, 14, -10, -1, 15, -25, 24, -9, -16, 40, -49, 33, 7, -56, 89, -82, 26, 63, -145, 171, -108, -37, 208, -316, 279, -71, -245, 524, -595, 350, 174, -769, ...

MCS811137 (alias MCS1622277, MCS3244569, MCS6489133)

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

2, -1, -1, 3, -8, 29, -137, 793, -5414, 42519, -377257, 3730051, -40653304, 484109597, -6252771457, 87054690801, ...

MCS861024 : A0 = 1; A1 = 2; AK+1 = - K AK + AK - AK-1 (score: 5)

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

MCS504386 (alias MCS504674) : A0 = 2; AK+1 = K AK + K - 1 (score: 5)

2, -1, -1, -1, -5, -6, -7, -12, -14, -16, -22, -25, -28, -35, -39, -43, -51, -56, -61, -70, -76, -82, -92, -99, -106, -117, -125, -133, -145, -154, -163, -176, -186, -196, -210, -221, -232, -247, ...

MCS12848 : A0 = 0; A1 = 1; A2 = 2; AK+1 = AK-2 - K + 1 (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, ...

MCS393606 (alias MCS12595565) : A0 = 1; A1 = 1; A2 = 2; AN = - AN-3 (score: 3)

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

MCS1671561 : A0 = 0; A1 = 0; A2 = 2; AN = - AN-3 - 1 (score: 5)

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

MCS6555014 : A0 = 1; A1 = 1; A2 = 2; AN = - 2 AN-3 + 1 (score: 5)


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Quick Index:
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