Munafo's Classical Sequences

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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, ...

MCS250689 (alias MCS1005186) : A₀ = -1; A_K+1 = - A_K + K + 1 (score: 4)

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

Powers of 2 alternating with zeros (A077957)

Horadam sequence W_n(0, 1; 2, 0) ; Horadam sequence W_n(0, 2; 2, 0) ; Horadam sequence W_n(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; A_K+1 = K A_K-1 (score: 4)

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; A_K+1 = - A_K + K² + 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; A_N = 3 A_N-2 (score: 5)

Horadam sequence W_n(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; A_K+1 = K A_K-1 + A_K-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; A_K+1 = - A_K-1 + K³ (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 (alias MCS3416214) : A₀ = 0; A₁ = 1; A_K+1 = K A_K-1 (score: 3)

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

2, 0, 12, 0, 120, 0, 1680, 0, 30240, 0, 665280, 0, 17297280, 0, 518918400, 0, 17643225600, 0, 670442572800, 0, ...

MCS1704278 : A₀ = 1; A₁ = 0; A_K+1 = 2 K A_K-1 (score: 5)

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

MCS3409 (alias MCS12568, MCS436416, MCS6982678)

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

1 + cos(Nπ/2) (A007877)

2, 1, 0, 1, 4, 7, 8, 7, 6, 7, 10, 13, 14, 13, 12, 13, 16, 19, 20, 19, 18, 19, 22, 25, 26, 25, 24, 25, 28, 31, 32, 31, 30, 31, 34, 37, 38, 37, 36, 37, 40, 43, 44, 43, 42, 43, 46, 49, 50, 49, 48, ...

MCS3515584 : A₀ = 1; A₁ = 2; A_K+1 = A_K - A_K-1 + K - 1 (score: 5)

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

MCS786966 (alias MCS6295702) : A₀ = 0; A₁ = 2; A₂ = 1; A_N = A_N-3 (score: 5)

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, 20, 22, 24, 23, 22, 24, 26, 25, 24, 26, 28, ...

MCS107104 : A₀ = 0; A₁ = 2; A_K+1 = - A_K-1 + K (score: 4)

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, 16, 15, 14, 17, 16, 15, 18, 17, 16, 19, 18, 17, 20, 19, ...

MCS3461893 : A₀ = 0; A₁ = -1; A_K+1 = - A_K - A_K-1 + K (score: 5)

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

MCS413745 (alias MCS3309958) : A₀ = 0; A₁ = 1; A₂ = 1; A_N = - A_N-3 + 2 (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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...

MCS500322 (alias MCS500546) : A₀ = 2; A_K+1 = - K A_K + K + 1 (score: 5)

2, 1, 1, 1, 2, 3, 5, 7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82, 91, 101, 111, 122, 133, 145, 157, 170, 183, 197, 211, 226, 241, 257, 273, 290, 307, 325, 343, 362, 381, 401, 421, 442, ...

MCS223944794 : A₀ = 2; A₁ = 1; A_K+1 = A_K-1 + K - 2 (score: 7)

Quarter-squares plus 1: floor(N²/4)+1 (A033638)

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

MCS26177 (alias MCS6358572) : A₀ = 0; A₁ = 1; A₂ = 2; A_K+1 = - A_K-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, 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, 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, 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, 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, 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, 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, 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, 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, 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 (A000034)

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

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, 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, 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, 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 (A008611)

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, 16384, 8192, 16384, ...

MCS3148332 : A₀ = 1; A₁ = 2; A₂ = 1; A_N = 2 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, 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, 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, ...

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

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, 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)

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

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

A₀ = -1; A_K+1 = - A_K + K (score: 3)

Add 2, Subtract 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, 25730, 34085, 45153, 59815, ...

MCS3088 (alias MCS6325292) : A₀ = 0; A₁ = 1; A₂ = 2; A_N = A_N-2 + A_N-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; A_K+1 = A_K-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; A_K+1 = K A_K-1 - A_K-1 + 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, 3010349, 4870847, ...

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

Lucas numbers starting with 2 (A000032)

Horadam sequence W_n(2, 1; 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; A_N = 2 A_N-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; A_K+1 = A_K-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; A_K+1 = K A_K - A_K + A_K-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; A_K+1 = - A_K-1 + K² + 1 (score: 5)

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

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

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

MCS250018 : A₀ = 2; A_K+1 = 2 K A_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; A_K+1 = K A_K-1 + A_K-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; A_N = 2 A_N-2 (score: 5)

Horadam sequence W_n(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, ...

MCS501409 (alias MCS1745413) : A₀ = -1; A_K+1 = - A_K + 2 K + 1 (score: 5)

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

Interleaves (2N-1)!! (A001147) with 2*(2N!!) (A066318)

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; A_K+1 = A_K-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; A_N = 2 A_N-2 + A_N-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; A_N = A_N-2 + 2 A_N-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; A_K+1 = K A_K-1 - A_K-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; A_K+1 = A_K-1 + K² - K (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; A_K+1 = - A_K-1 + K² + K (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; A_N = 2 A_N-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; A_K+1 = K A_K-1 + A_K-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; A_K+1 = K A_K-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; A_K+1 = K A_K-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; A_K+1 = - A_K + K² + 2 (score: 5)

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; A_K+1 = A_K-1 + K² - 1 (score: 5)

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

2, 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, ...

MCS62104 (alias MCS124002) : A₀ = 1; A_K+1 = - K A_K + 2 A_K (score: 4)

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

MCS6701452 : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = - A_K-2 + K - 1 (score: 5)

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

MCS436417 (alias MCS218208, MCS6982682) : A₀ = 0; A₁ = 0; A_N = - A_N-2 + 2 (score: 4)

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

MCS13913114 : A₀ = 2; A₁ = 2; A_K+1 = - A_K-1 + K + 1 (score: 5)

2, 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, ...

MCS3420314 : A₀ = 2; A₁ = 2; A_K+1 = K A_K-1 - A_K-1 (score: 5)

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

MCS196742 : A₀ = 0; A₁ = 2; A₂ = 2; A_N = A_N-3 (score: 4)

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

MCS6859802 : A₀ = 2; A₁ = 2; A_K+1 = - A_K-1 + 2 K (score: 5)

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

MCS98385 (alias MCS393542, MCS12593334) : A₀ = 0; A₁ = 1; A₂ = 1; A_N = 2 A_N-3 (score: 4)

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

MCS6801 (alias MCS12929, MCS827489, MCS870592, MCS870593, MCS3309964, MCS13929494, MCS13929498)

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

1+sqrt(4/3)sin(Nπ/3) (A021823)

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

MCS496226 : A₀ = 2; A_K+1 = - K A_K + A_K + K (score: 5)

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

MCS440512 (alias MCS1762054, MCS6435078, MCS6435084)

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

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

MCS1589644 : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = - A_K-2 + K (score: 4)

2, 2, 1, 1, 3, 6, 8, 8, 7, 7, 9, 12, 14, 14, 13, 13, 15, 18, 20, 20, 19, 19, 21, 24, 26, 26, 25, 25, 27, 30, 32, 32, 31, 31, 33, 36, 38, 38, 37, 37, 39, 42, 44, 44, 43, 43, 45, 48, 50, 50, 49, 49, ...

MCS13782042 : A₀ = 2; A₁ = 2; A_K+1 = A_K - A_K-1 + K (score: 5)

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, 1, 2, ...

MCS393484 (alias MCS25182938) : A₀ = 1; A₁ = 2; A₂ = 2; A_N = A_N-3 (score: 3)

A simple period-3 sequence. (A130196)

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

MCS428417 (alias MCS434784, MCS3511045) : A₀ = -1; A₁ = 0; A_K+1 = - A_K-1 + K (score: 4)

2, 2, 1, 3, 2, 11, 9, 65, 62, 519, 557, 5189, 6126, 62267, 79637, 871737, 1194554, 13947791, 20307417, 251060237, 385840922, 5021204739, 8102659361, 110466504257, 186361165302, ...

MCS3506330 : A₀ = 2; A₁ = 2; A_K+1 = K A_K-1 - 1 (score: 5)

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

MCS3342988 : A₀ = 1; A₁ = 2; A₂ = 2; A_N = 2 A_N-3 - 1 (score: 5)

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, 15, 15, 14, 16, 16, 15, 17, 17, 16, 18, 18, 17, 19, 19, 18, 20, ...

MCS819334 (alias MCS6554669, MCS13947654, MCS26218678)

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

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

MCS3309965 : A₀ = 0; A₁ = 0; A₂ = 0; A_N = - A_N-3 + 2 (score: 5)

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

MCS25434330 : A₀ = 2; A₁ = 2; A₂ = 2; A_K+1 = - A_K-2 + K (score: 5)

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

MCS794822 : A₀ = 0; A₁ = 2; A₂ = 2; A_K+1 = - A_K-2 + K (score: 5)

2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, ...

MCS442 (alias MCS15509, MCS30978, MCS248152, MCS854042, MCS1006210, MCS6295770, MCS6900762, MCS6919194)

A_N = 2 (score: 2)

Constant sequence (A007395)

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

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

MCS6209 (alias MCS6570380) : A₀ = 0; A₁ = 1; A₂ = 2; A_K+1 = - A_K-2 + K (score: 4)

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