Minimally Complex Sequences

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

MCS393478 (alias MCS1573932, MCS25183066) : A₀ = 1; A₁ = 1; A₂ = 2; A_N = A_N-3 (score: 3)

A simple period-3 sequence. (A100063)

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, ...

MCS25191258 : A₀ = 2; A₁ = 1; A₂ = 1; A_N = - A_N-3 (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; A_N = A_N-1 - A_N-2 (score: 3)

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

Horadam sequence W_n(1, 2; -1, 1) ; Horadam sequence W_n(-1, -2; -1, 1) ; Horadam sequence W_n(-1, 1; -1, 1) ; Horadam sequence W_n(2, 1; -1, 1), Lucas sequence V_n(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, 1, 2, -1, ...

MCS786953 (alias MCS1748160) : A₀ = -1; A₁ = 1; A₂ = 2; A_N = A_N-3 (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; A_N = - A_N-1 - A_N-2 (score: 4)

Horadam sequence W_n(-1, -1; -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, ...

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

2, 1, 1, 2, 2, 2, 3, 4, 5, 7, 10, 14, 20, 29, 42, 61, 89, 130, 190, 278, 407, 596, 873, 1279, 1874, 2746, 4024, 5897, 8642, 12665, 18561, 27202, 39866, 58426, 85627, 125492, 183917, 269543, ...

MCS13120 : A₀ = 0; A₁ = 1; A₂ = 2; A_N = A_N-1 + A_N-3 - 1 (score: 5)

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; A_N = - A_N-1 - A_N-3 + 1 (score: 5)

2, 1, 1, 2, 4, 7, 11, 16, 22, 29, 37, 46, 56, 67, 79, 92, 106, 121, 137, 154, 172, 191, 211, 232, 254, 277, 301, 326, 352, 379, 407, 436, 466, 497, 529, 562, 596, 631, 667, 704, 742, 781, 821, ...

MCS504962 : A₀ = 2; A_K+1 = A_K + K - 1 (score: 4)

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

MCS501314 : A₀ = 2; A_K+1 = K A_K - A_K + 1 (score: 5)

2, 1, 1, 2, 7, 34, 203, 1420, 11359, 102230, 1022299, 11245288, 134943455, 1754264914, 24559708795, 368395631924, ...

MCS504898 : A₀ = 2; A_K+1 = K A_K + A_K - 1 (score: 5)

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; A_N = - A_N-3 - 1 (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; A_K+1 = - A_K - A_K-1 + K (score: 5)

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; A_N = - A_N-2 + A_N-3 (score: 4)

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

MCS3342982 : A₀ = 1; A₁ = 1; A₂ = 2; A_N = 2 A_N-3 - 1 (score: 5)

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; A_N = - 2 A_N-3 + 1 (score: 5)

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

MCS1638665 (alias MCS3486913, MCS6554677, MCS13847574, MCS26218710)

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

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; A_K+1 = - A_K-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; A_N = - A_N-1 + A_N-3 (score: 5)

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

MCS869568 (alias MCS1713673, MCS7022093) : A₀ = 1; A₁ = 2; A_K+1 = - A_K-1 + K + 1 (score: 4)

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; A_K+1 = A_K + A_K-2 - K (score: 5)

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

MCS861024 : A₀ = 1; A₁ = 2; A_K+1 = - K A_K + A_K - A_K-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; A_K+1 = - A_K - K² + 1 (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; A_N = A_N-1 - A_N-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; A_K+1 = A_K - K - 1 (score: 4)

2, 1, 1, 4, 12, 27, 51, 86, 134, 197, 277, 376, 496, 639, 807, 1002, 1226, 1481, 1769, 2092, 2452, 2851, 3291, 3774, 4302, 4877, 5501, 6176, 6904, 7687, 8527, 9426, 10386, 11409, 12497, 13652, ...

MCS504866 : A₀ = 2; A_K+1 = A_K + K² - 1 (score: 5)

2, -1, -1, -5, -6, -11, -13, -19, -22, -29, -33, -41, -46, -55, -61, -71, -78, -89, -97, -109, -118, -131, -141, -155, -166, -181, -193, -209, -222, -239, -253, -271, -286, -305, -321, -341, -358, ...

MCS878208 : A₀ = 1; A₁ = 2; A_K+1 = A_K-1 - K - 1 (score: 4)

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

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

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

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

2, -1, -1, -6, -8, -15, -19, -28, -34, -45, -53, -66, -76, -91, -103, -120, -134, -153, -169, -190, -208, -231, -251, -276, -298, -325, -349, -378, -404, -435, -463, -496, -526, -561, -593, -630, ...

MCS31409 : A₀ = 0; A_K+1 = - A_K - K² + 2 (score: 5)

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; A_K+1 = A_K + A_K-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; A_K+1 = A_K - K² - 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; A_K+1 = K A_K-1 - K - 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; A_K+1 = A_K-1 - K² + 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; A_K+1 = - A_K-1 + K² - 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; A_N = - A_N-1 + A_N-3 (score: 4)

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; A_N = - A_N-1 - A_N-3 (score: 5)

2, 1, 2, 0, 2, -1, 3, -2, 5, -4, 8, -8, 13, -15, 22, -27, 38, -48, 66, -85, 115, -150, 201, -264, 352, -464, 617, -815, 1082, -1431, 1898, -2512, 3330, -4409, 5843, -7738, 10253, -13580, 17992, ...

MCS820273 (alias MCS1640545, MCS6562182, MCS6562189)

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

2, -1, -2, 0, 4, 3, -3, -6, 1, 10, 6, -10, -15, 5, 26, 11, -30, -36, 20, 67, 17, -86, -83, 70, 170, 14, -239, -183, 226, 423, -42, -648, -380, 691, 1029, -310, -1719, -718, 2030, 2438, -1311, ...

MCS6566278 : A₀ = 1; A₁ = 1; A₂ = 2; A_N = - A_N-2 - A_N-3 + 1 (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; A_K+1 = - K A_K-1 + K (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; A_K+1 = 2 A_K-1 - K (score: 4)

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

MCS53376 (alias MCS63328, MCS253314, MCS3416154)

A₀ = 1; A₁ = 2; A_N = A_N-2 (score: 2)

A simple periodic sequence (A0034)

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

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; A_N = - A_N-2 (score: 4)

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

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; A_N = - A_N-1 + 1 (score: 3)

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

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, ...

MCS53440 (alias MCS1710125) : A₀ = 1; A₁ = 2; A_N = - A_N-2 (score: 2)

Horadam sequence W_n(1, 2; -1, 0) ; Horadam sequence W_n(-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; A_K+1 = - K A_K + 2 A_K - K (score: 5)

2, 1, 2, 1, 4, 3, 6, 1, 4, -1, 10, 5, 16, -5, 6, -15, 28, 7, 50, -35, 8, -77, 94, 9, 180, -161, 10, -331, 352, 11, 694, -671, 12, -1353, 1378, 13, 2744, -2717, 14, -5447, 5476, 15, 10938, -10907, ...

MCS794801 : A₀ = 0; A₁ = 1; A₂ = 1; A_K+1 = - 2 A_K-2 + 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; A_K+1 = - 2 A_K-1 + 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; A_K+1 = - K A_K-1 + 2 (score: 5)

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

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

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

MCS31305 : A₀ = 0; A_K+1 = - K A_K + A_K + 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; A_K+1 = - K A_K + K + 2 (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; A_K+1 = - K A_K-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; A_K+1 = - K A_K-1 + A_K-1 + K (score: 5)

2, -1, -2, 2, 0, -5, 1, 4, -7, -4, 10, -4, -15, 13, 10, -29, 2, 38, -32, -37, 69, 4, -107, 64, 110, -172, -47, 281, -126, -329, 406, 202, -736, 203, 937, -940, -735, 1876, -206, -2612, 2081, 2405, ...

MCS6697222 : A₀ = 1; A₁ = 1; A₂ = 2; A_N = - A_N-2 + A_N-3 - 1 (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, 2, 2, 1, 2, 2, 1, 2, 2, ...

MCS6295642 : A₀ = 2; A₁ = 1; A₂ = 2; A_N = A_N-3 (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; A_N = - A_N-3 (score: 5)

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, 23834, 31573, ...

MCS6693126 : A₀ = 1; A₁ = 1; A₂ = 2; A_N = A_N-2 + A_N-3 - 1 (score: 5)

2, 1, 2, 2, 3, 4, 6, 9, 14, 22, 35, 56, 90, 145, 234, 378, 611, 988, 1598, 2585, 4182, 6766, 10947, 17712, 28658, 46369, 75026, 121394, 196419, 317812, 514230, 832041, 1346270, 2178310, 3524579, ...

MCS439360 : A₀ = 0; A₁ = 2; A_N = A_N-1 + A_N-2 - 1 (score: 5)

2, 1, 2, 2, 4, 4, 5, 4, 5, 5, 7, 7, 8, 7, 8, 8, 10, 10, 11, 10, 11, 11, 13, 13, 14, 13, 14, 14, 16, 16, 17, 16, 17, 17, 19, 19, 20, 19, 20, 20, 22, 22, 23, 22, 23, 23, 25, 25, 26, 25, 26, 26, 28, ...

MCS1589638 : A₀ = 1; A₁ = 1; A₂ = 2; A_K+1 = - A_K-2 + K (score: 4)

2, -1, -2, -2, -6, -8, -9, -14, -17, -19, -25, -29, -32, -39, -44, -48, -56, -62, -67, -76, -83, -89, -99, -107, -114, -125, -134, -142, -154, -164, -173, -186, -197, -207, -221, -233, -244, -259, ...

MCS1597702 : A₀ = 1; A₁ = 1; A₂ = 2; A_K+1 = A_K-2 - K (score: 4)

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; A_K+1 = - K A_K-1 (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, ...

MCS3408474 : A₀ = 2; A₁ = 1; A_K+1 = K A_K-1 (score: 5)

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

MCS6529 : A₀ = 0; A₁ = 1; A₂ = 2; A_N = - A_N-3 - 1 (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; A_K+1 = - A_K - A_K-1 + K + 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, ...

MCS198177 (alias MCS6341654) : A₀ = 0; A₁ = 1; A₂ = 1; A_N = - A_N-2 + A_N-3 (score: 4)

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; A_N = - A_N-2 - A_N-3 (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; A_N = - A_N-3 - 1 (score: 5)

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

MCS3200 (alias MCS6761, MCS819329, MCS819333, MCS1638661, MCS6554646, MCS6554668)

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

Two Steps Forward, One Step Back (A8611)

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; A_N = A_N-1 - 2 A_N-2 + 1 (score: 5)

2, 1, 2, 3, 3, 5, 6, 8, 11, 14, 19, 25, 33, 44, 58, 77, 102, 135, 179, 237, 314, 416, 551, 730, 967, 1281, 1697, 2248, 2978, 3945, 5226, 6923, 9171, 12149, 16094, 21320, 28243, 37414, 49563, ...

MCS25301174 : A₀ = 1; A₁ = 1; A₂ = 0; A_N = A_N-2 + A_N-3 (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; A_N = - 2 A_N-3 (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, 16384, 8192, 16384, ...

MCS3148332 : A₀ = 1; A₁ = 2; A₂ = 1; A_N = 2 A_N-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; A_N = A_N-1 - A_N-2 - 1 (score: 5)

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; A_N = - A_N-1 - A_N-3 (score: 5)

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, 327967, 480659, ...

MCS6423596 : A₀ = 1; A₁ = 2; A₂ = 1; A_N = A_N-1 + A_N-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; A_K+1 = 2 A_K-1 - K (score: 5)

2, 1, 2, 5, 4, 3, 8, 9, 4, 9, 16, 7, 6, 23, 16, -1, 24, 35, -6, 9, 62, 7, -30, 79, 62, -83, 44, 173, -98, -99, 302, 33, -368, 303, 436, -635, -96, 1109, -500, -1165, 1650, 707, -2772, 987, 3524, ...

MCS12440 : A₀ = 0; A₁ = 1; A₂ = 2; A_K+1 = - A_K-1 + A_K-2 + K (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; A_N = A_N-1 - A_N-2 - A_N-3 (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; A_K+1 = - A_K + A_K-1 - K + 1 (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; A_K+1 = A_K - A_K-1 - K + 1 (score: 5)

2, 1, 2, 5, 6, 5, 6, 9, 10, 9, 10, 13, 14, 13, 14, 17, 18, 17, 18, 21, 22, 21, 22, 25, 26, 25, 26, 29, 30, 29, 30, 33, 34, 33, 34, 37, 38, 37, 38, 41, 42, 41, 42, 45, 46, 45, 46, 49, 50, 49, 50, ...

MCS428736 : A₀ = 1; A₁ = 2; A_K+1 = - A_K-1 + 2 K (score: 4)

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; A_K+1 = K A_K-1 - 2 (score: 5)

2, -1, -2, 5, 8, -5, -10, 17, 28, -25, -46, 61, 104, -109, -194, 233, 404, -449, -790, 917, 1600, -1813, -3178, 3649, 6380, -7273, -12734, 14573, 25496, -29117, -50962, 58265, 101956, -116497, ...

MCS856768 : A₀ = 1; A₁ = 2; A_K+1 = - 2 A_K-1 + K (score: 4)

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; A_N = - A_N-1 + A_N-2 - A_N-3 (score: 5)

2, 1, 2, 5, 10, 17, 26, 37, 50, 65, 82, 101, 122, 145, 170, 197, 226, 257, 290, 325, 362, 401, 442, 485, 530, 577, 626, 677, 730, 785, 842, 901, 962, 1025, 1090, 1157, 1226, 1297, 1370, 1445, ...

MCS1009986 : A₀ = 2; A_K+1 = A_K + 2 K - 1 (score: 5)

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

MCS126018 : A₀ = 2; A_K+1 = K A_K - 1 (score: 4)

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

MCS505232 : A₀ = 1; A_K+1 = K A_K - 2 A_K - 1 (score: 5)

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

MCS124994 (alias MCS250657) : A₀ = 2; A_K+1 = K A_K + 1 (score: 4)

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

MCS501136 : A₀ = 1; A_K+1 = K A_K - 2 A_K + 1 (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; A_K+1 = K A_K-1 - K (score: 5)

2, -1, -2, -7, -6, -11, -6, -13, -4, -17, -2, -25, 2, -37, 12, -55, 32, -85, 68, -137, 132, -227, 246, -383, 448, -655, 804, -1131, 1430, -1965, 2530, -3427, 4462, -5991, 7854, -10489, 13808, ...

MCS24993 : A₀ = 0; A₁ = 1; A₂ = 2; A_K+1 = A_K-1 - A_K-2 - K (score: 5)

2, -1, -2, -7, -10, -17, -22, -31, -38, -49, -58, -71, -82, -97, -110, -127, -142, -161, -178, -199, -218, -241, -262, -287, -310, -337, -362, -391, -418, -449, -478, -511, -542, -577, -610, -647, ...

MCS857728 : A₀ = 1; A₁ = 2; A_K+1 = A_K-1 - 2 K (score: 4)

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)

A_K = - K² + 2 (score: 4)

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

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

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; A_K+1 = - A_K-1 + K² (score: 5)

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

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

2, -1, -2, -10, -18, -35, -54, -84, -118, -165, -218, -286, -362, -455, -558, -680, -814, -969, -1138, -1330, -1538, -1771, -2022, -2300, -2598, -2925, -3274, -3654, -4058, -4495, -4958, -5456, ...

MCS106776 : A₀ = 0; A₁ = 2; A_K+1 = A_K-1 - K² (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; A_N = - A_N-1 + A_N-3 + 1 (score: 5)

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

MCS109664 : A₀ = 0; A₁ = 2; A_N = - A_N-2 - 1 (score: 4)

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; A_K+1 = - A_K + K - 1 (score: 3)

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; A_K+1 = - A_K - A_K-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; A_N = - A_N-1 + A_N-2 + 2 (score: 5)

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

MCS870080 : A₀ = 1; A₁ = 2; A_K+1 = - A_K-1 - K + 1 (score: 4)

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, -796, ...

MCS6193 : A₀ = 0; A₁ = 1; A₂ = 2; A_N = - A_N-2 - A_N-3 (score: 4)

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; A_K+1 = 3 A_K-1 - K (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; A_K+1 = - A_K - A_K-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; A_N = 2 A_N-2 - 1 (score: 4)

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