Munafo's Classical Sequences

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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)

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

MCS204833 (alias MCS27241, MCS409665, MCS865473, MCS1638662, MCS1638668, MCS1638669, MCS3277325, MCS3277337, MCS3519681, MCS6554678, MCS13109357, MCS26218714)

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

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, 41825, ...

MCS6693132 : A₀ = 1; A₁ = 2; A₂ = 2; A_N = A_N-2 + A_N-3 - 1 (score: 5)

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

MCS214209 (alias MCS6793, MCS877761, MCS1746112)

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

Three evens, one odd (A004524)

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, 395034, 578950, ...

MCS6717702 (alias MCS6717708) : A₀ = 1; A₁ = 1; A₂ = 2; A_N = A_N-1 + A_N-3 - 1 (score: 5)

2, 2, 2, 3, 4, 6, 8, 11, 14, 18, 22, 27, 32, 38, 44, 51, 58, 66, 74, 83, 92, 102, 112, 123, 134, 146, 158, 171, 184, 198, 212, 227, 242, 258, 274, 291, 308, 326, 344, 363, 382, 402, 422, 443, 464, ...

MCS14043162 : A₀ = 2; A₁ = 2; A_K+1 = A_K-1 + K - 1 (score: 5)

2, 2, 2, 3, 5, 7, 8, 8, 8, 9, 11, 13, 14, 14, 14, 15, 17, 19, 20, 20, 20, 21, 23, 25, 26, 26, 26, 27, 29, 31, 32, 32, 32, 33, 35, 37, 38, 38, 38, 39, 41, 43, 44, 44, 44, 45, 47, 49, 50, 50, 50, ...

MCS861376 : A₀ = 1; A₁ = 2; A_K+1 = A_K - A_K-1 + K (score: 4)

Alternates between level and rising

2, 2, 2, 4, 4, 4, 6, 6, 6, 8, 8, 8, 10, 10, 10, 12, 12, 12, 14, 14, 14, 16, 16, 16, 18, 18, 18, 20, 20, 20, 22, 22, 22, 24, 24, 24, 26, 26, 26, 28, 28, 28, 30, 30, 30, 32, 32, 32, 34, 34, 34, 36, ...

MCS1731265 (alias MCS3309837) : A₀ = 0; A₁ = 0; A_K+1 = - A_K - A_K-1 + 2 K (score: 5)

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

MCS787078 (alias MCS787084, MCS3148342, MCS12593370)

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

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, 63144, ...

MCS790662 (alias MCS25301210) : A₀ = 0; A₁ = 2; A₂ = 2; A_N = A_N-2 + A_N-3 (score: 5)

2, 2, 2, 4, 5, 6, 9, 11, 13, 17, 20, 23, 28, 32, 36, 42, 47, 52, 59, 65, 71, 79, 86, 93, 102, 110, 118, 128, 137, 146, 157, 167, 177, 189, 200, 211, 224, 236, 248, 262, 275, 288, 303, 317, 331, ...

MCS6701324 (alias MCS25432282) : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = A_K-2 + K - 1 (score: 5)

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

MCS214368 : A₀ = 0; A₁ = 2; A_K+1 = - A_K-1 + 2 K (score: 5)

2, 2, 2, 4, 6, 8, 12, 18, 26, 38, 56, 82, 120, 176, 258, 378, 554, 812, 1190, 1744, 2556, 3746, 5490, 8046, 11792, 17282, 25328, 37120, 54402, 79730, 116850, 171252, 250982, 367832, 539084, ...

MCS802950 (alias MCS1605897, MCS25694426) : A₀ = 0; A₁ = 2; A₂ = 2; A_N = A_N-1 + A_N-3 (score: 5)

2, 2, 2, 4, 6, 16, 30, 96, 210, 768, 1890, 7680, 20790, 92160, 270270, 1290240, 4054050, 20643840, 68918850, 371589120, 1309458150, 7431782400, 27498621150, 163499212800, 632468286450, ...

MCS852122 : A₀ = 2; A₁ = 2; A_K+1 = K A_K-1 (score: 4)

2, 2, 2, 4, 10, 22, 42, 72, 114, 170, 242, 332, 442, 574, 730, 912, 1122, 1362, 1634, 1940, 2282, 2662, 3082, 3544, 4050, 4602, 5202, 5852, 6554, 7310, 8122, 8992, 9922, 10914, 11970, 13092, ...

MCS496418 : A₀ = 2; A_K+1 = A_K + K² - K (score: 5)

2, 2, 2, 4, 14, 66, 382, 2608, 20482, 181730, 1796818, 19583268, 233202398, 3012047906, 41935468286, 626019976384, ...

MCS106912 : A₀ = 0; A₁ = 2; A_K+1 = K A_K - A_K-1 (score: 5)

2, 2, 2, 5, 6, 7, 11, 13, 15, 20, 23, 26, 32, 36, 40, 47, 52, 57, 65, 71, 77, 86, 93, 100, 110, 118, 126, 137, 146, 155, 167, 177, 187, 200, 211, 222, 236, 248, 260, 275, 288, 301, 317, 331, 345, ...

MCS794758 : A₀ = 0; A₁ = 2; A₂ = 2; A_K+1 = A_K-2 + K (score: 5)

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

MCS6358554 : A₀ = 2; A₁ = 2; A₂ = 3; A_K+1 = - A_K-2 + K (score: 5)

2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, ...

MCS1573914 : A₀ = 2; A₁ = 2; A₂ = 3; A_N = A_N-3 (score: 4)

2, 2, 3, 2, 3, 3, 5, 5, 6, 5, 6, 6, 8, 8, 9, 8, 9, 9, 11, 11, 12, 11, 12, 12, 14, 14, 15, 14, 15, 15, 17, 17, 18, 17, 18, 18, 20, 20, 21, 20, 21, 21, 23, 23, 24, 23, 24, 24, 26, 26, 27, 26, 27, ...

MCS1589641 : A₀ = 0; A₁ = 0; A₂ = 2; A_K+1 = - A_K-2 + K (score: 5)

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

MCS6554650 : A₀ = 2; A₁ = 2; A₂ = 3; A_N = A_N-3 + 1 (score: 5)

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

MCS486 (alias MCS848, MCS1958, MCS198705, MCS217216, MCS217217, MCS251296, MCS252737, MCS253344, MCS434433, MCS803889, MCS868870, MCS1607777, MCS1675361, MCS1737741, MCS3475482, MCS6431110, MCS6431116, MCS6570374, MCS6894854)

A₀ = 0; A_K+1 = - A_K + K (score: 2)

Integers repeated (A004526)

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

MCS7017498 : A₀ = 2; A₁ = 2; A_N = 2 A_N-2 - 1 (score: 5)

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

MCS6464 (alias MCS827457, MCS3309836) : A₀ = 0; A₁ = 1; A₂ = 2; A_N = A_N-3 + 2 (score: 5)

2, 2, 3, 4, 4, 6, 8, 8, 12, 16, 16, 24, 32, 32, 48, 64, 64, 96, 128, 128, 192, 256, 256, 384, 512, 512, 768, 1024, 1024, 1536, 2048, 2048, 3072, 4096, 4096, 6144, 8192, 8192, 12288, 16384, 16384, ...

MCS3148314 : A₀ = 2; A₁ = 2; A₂ = 3; A_N = 2 A_N-3 (score: 5)

2, 2, 3, 4, 5, 7, 9, 11, 14, 17, 20, 24, 28, 32, 37, 42, 47, 53, 59, 65, 72, 79, 86, 94, 102, 110, 119, 128, 137, 147, 157, 167, 178, 189, 200, 212, 224, 236, 249, 262, 275, 289, 303, 317, 332, ...

MCS6358042 : A₀ = 2; A₁ = 2; A₂ = 3; A_K+1 = A_K-2 + K (score: 5)

2, 2, 3, 4, 5, 7, 9, 12, 16, 21, 28, 37, 49, 65, 86, 114, 151, 200, 265, 351, 465, 616, 816, 1081, 1432, 1897, 2513, 3329, 4410, 5842, 7739, 10252, 13581, 17991, 23833, 31572, 41824, 55405, 73396, ...

MCS197665 (alias MCS395329, MCS790661, MCS1581318, MCS1581324, MCS6325270, MCS6325274, MCS6325302, MCS25301206)

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

Padovan numbers (A000931)

2, 2, 3, 4, 6, 7, 8, 8, 9, 10, 12, 13, 14, 14, 15, 16, 18, 19, 20, 20, 21, 22, 24, 25, 26, 26, 27, 28, 30, 31, 32, 32, 33, 34, 36, 37, 38, 38, 39, 40, 42, 43, 44, 44, 45, 46, 48, 49, 50, 50, 51, ...

MCS3187084 : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = - A_K-2 + 2 K (score: 5)

2, 2, 3, 4, 6, 8, 11, 14, 18, 22, 27, 32, 38, 44, 51, 58, 66, 74, 83, 92, 102, 112, 123, 134, 146, 158, 171, 184, 198, 212, 227, 242, 258, 274, 291, 308, 326, 344, 363, 382, 402, 422, 443, 464, ...

MCS3426330 : A₀ = 2; A₁ = 2; A_K+1 = A_K-1 + K (score: 4)

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, ...

MCS878720 (alias MCS3228044, MCS14059546) : A₀ = 1; A₁ = 2; A_N = A_N-1 + A_N-2 - 1 (score: 4)

2, 2, 3, 4, 10, 17, 56, 109, 431, 925, 4201, 9744, 49487, 122471, 683074, 1787578, 10806713, 29705752, 192733256, 553602575, 3824959368, 11432920819, 83595503521, 259132219469, ...

MCS1574540 : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = K A_K-1 - A_K-2 (score: 5)

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

MCS3277452 : A₀ = 1; A₁ = 2; A₂ = 2; A_N = 2 A_N-3 + 1 (score: 5)

2, 2, 3, 5, 6, 6, 7, 9, 10, 10, 11, 13, 14, 14, 15, 17, 18, 18, 19, 21, 22, 22, 23, 25, 26, 26, 27, 29, 30, 30, 31, 33, 34, 34, 35, 37, 38, 38, 39, 41, 42, 42, 43, 45, 46, 46, 47, 49, 50, 50, 51, ...

MCS1739456 : A₀ = 1; A₁ = 2; A_K+1 = - A_K-1 + 2 K + 1 (score: 5)

2, 2, 3, 5, 6, 8, 11, 13, 16, 20, 23, 27, 32, 36, 41, 47, 52, 58, 65, 71, 78, 86, 93, 101, 110, 118, 127, 137, 146, 156, 167, 177, 188, 200, 211, 223, 236, 248, 261, 275, 288, 302, 317, 331, 346, ...

MCS1589516 (alias MCS6701318) : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = A_K-2 + K (score: 4)

2, 2, 3, 5, 7, 10, 15, 22, 32, 47, 69, 101, 148, 217, 318, 466, 683, 1001, 1467, 2150, 3151, 4618, 6768, 9919, 14537, 21305, 31224, 45761, 67066, 98290, 144051, 211117, 309407, 453458, 664575, ...

MCS3136 (alias MCS1605900, MCS6423574, MCS6423578, MCS25694390)

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

2, 2, 3, 5, 8, 12, 17, 23, 30, 38, 47, 57, 68, 80, 93, 107, 122, 138, 155, 173, 192, 212, 233, 255, 278, 302, 327, 353, 380, 408, 437, 467, 498, 530, 563, 597, 632, 668, 705, 743, 782, 822, 863, ...

MCS124034 : A₀ = 2; A_K+1 = A_K + K (score: 3)

Triangle numbers Plus Two (A022856)

2, 2, 3, 5, 10, 21, 51, 127, 358, 1017, 3223, 10171, 35454, 122053, 460903, 1708743, 6913546, 27339889, 117530283, 492118003, 2233075378, 9842360061, 46894582939, 216531921343, ...

MCS3473562 : A₀ = 2; A₁ = 2; A_K+1 = K A_K-1 + 1 (score: 5)

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

MCS787340 : A₀ = 1; A₁ = 2; A₂ = 2; A_N = 3 A_N-3 (score: 5)

2, 2, 3, 6, 7, 9, 13, 15, 18, 23, 26, 30, 36, 40, 45, 52, 57, 63, 71, 77, 84, 93, 100, 108, 118, 126, 135, 146, 155, 165, 177, 187, 198, 211, 222, 234, 248, 260, 273, 288, 301, 315, 331, 345, 360, ...

MCS1589513 : A₀ = 0; A₁ = 0; A₂ = 2; A_K+1 = A_K-2 + K (score: 5)

2, 2, 3, 6, 12, 22, 37, 58, 86, 122, 167, 222, 288, 366, 457, 562, 682, 818, 971, 1142, 1332, 1542, 1773, 2026, 2302, 2602, 2927, 3278, 3656, 4062, 4497, 4962, 5458, 5986, 6547, 7142, 7772, 8438, ...

MCS3416602 : A₀ = 2; A₁ = 2; A_K+1 = A_K-1 + K² (score: 5)

2, 2, 3, 6, 12, 28, 65, 174, 462, 1400, 4167, 14010, 45848, 168132, 596037, 2353862, 8940570, 37661808, 151989707, 677912562, 2887804452, 13558251260, 60643893513, 298281527742, ...

MCS3424410 : A₀ = 2; A₁ = 2; A_K+1 = K A_K-1 + K (score: 5)

2, 2, 3, 7, 8, 10, 15, 17, 20, 26, 29, 33, 40, 44, 49, 57, 62, 68, 77, 83, 90, 100, 107, 115, 126, 134, 143, 155, 164, 174, 187, 197, 208, 222, 233, 245, 260, 272, 285, 301, 314, 328, 345, 359, ...

MCS6358069 : A₀ = 0; A₁ = -1; A₂ = -1; A_K+1 = A_K-2 + K (score: 5)

2, 2, 3, 7, 14, 22, 29, 35, 42, 52, 65, 79, 92, 104, 117, 133, 152, 172, 191, 209, 228, 250, 275, 301, 326, 350, 375, 403, 434, 466, 497, 527, 558, 592, 629, 667, 704, 740, 777, 817, 860, 904, ...

MCS1575308 : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = - A_K-2 + K² (score: 5)

2, 2, 3, 7, 16, 32, 57, 93, 142, 206, 287, 387, 508, 652, 821, 1017, 1242, 1498, 1787, 2111, 2472, 2872, 3313, 3797, 4326, 4902, 5527, 6203, 6932, 7716, 8557, 9457, 10418, 11442, 12531, 13687, ...

MCS123938 : A₀ = 2; A_K+1 = A_K + K² (score: 4)

2, 2, 3, 7, 25, 121, 721, 5041, 40321, 362881, 3628801, 39916801, 479001601, 6227020801, 87178291201, ...

MCS496450 : A₀ = 2; A_K+1 = K A_K + A_K - K (score: 5)

2, 2, 3, 7, 26, 127, 755, 5259, 41945, 376750, 3762241, 41342706, 495735722, 6440802145, 90129887324, ...

MCS1577356 : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = K A_K - A_K-2 (score: 5)

2, 2, 3, 8, 30, 143, 829, 5661, 44460, 394480, 3900341, 42509272, 506210924, 6538232741, 91029047451, ...

MCS869184 : A₀ = 1; A₁ = 2; A_K+1 = K A_K - A_K-1 + 1 (score: 5)

2, 2, 3, 11, 38, 102, 227, 443, 786, 1298, 2027, 3027, 4358, 6086, 8283, 11027, 14402, 18498, 23411, 29243, 36102, 44102, 53363, 64011, 76178, 90002, 105627, 123203, 142886, 164838, 189227, ...

MCS123922 : A₀ = 2; A_K+1 = A_K + K³ (score: 5)

2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, 2, 4, 2, ...

MCS6295706 : A₀ = 2; A₁ = 2; A₂ = 4; A_N = A_N-3 (score: 5)

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

MCS794821 : A₀ = 0; A₁ = 1; A₂ = 0; A_K+1 = - A_K-2 + K (score: 5)

2, 2, 4, 3, 8, 4, 18, 5, 46, 6, 128, 7, 372, 8, 1102, 9, 3290, 10, 9852, 11, 29536, 12, 88586, 13, 265734, 14, 797176, 15, 2391500, 16, 7174470, 17, 21523378, 18, 64570100, 19, 193710264, 20, ...

MCS429504 : A₀ = 1; A₁ = 2; A_K+1 = 3 A_K-1 - K (score: 5)

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

MCS1946 (alias MCS15706, MCS218176, MCS436353, MCS6981658)

A₀ = 0; A_K+1 = - A_K + 2 K (score: 3)

Even numbers repeated (A052928)

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

MCS106816 (alias MCS427270, MCS1709082) : A₀ = 1; A₁ = 2; A_N = 2 A_N-2 (score: 3)

Powers of two repeated (A016116)

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

2, 2, 4, 5, 7, 10, 13, 18, 24, 32, 43, 57, 76, 101, 134, 178, 236, 313, 415, 550, 729, 966, 1280, 1696, 2247, 2977, 3944, 5225, 6922, 9170, 12148, 16093, 21319, 28242, 37413, 49562, 65656, 86976, ...

MCS12816 (alias MCS6562060) : A₀ = 0; A₁ = 1; A₂ = 2; A_N = A_N-2 + A_N-3 + 1 (score: 5)

2, 2, 4, 5, 8, 10, 14, 17, 22, 26, 32, 37, 44, 50, 58, 65, 74, 82, 92, 101, 112, 122, 134, 145, 158, 170, 184, 197, 212, 226, 242, 257, 274, 290, 308, 325, 344, 362, 382, 401, 422, 442, 464, 485, ...

MCS214144 (alias MCS13912090) : A₀ = 1; A₁ = 2; A_K+1 = A_K-1 + K (score: 3)

Interleaves N²+1 (A002522) with N²+N+2 (A014206)

2, 2, 4, 6, 7, 10, 13, 15, 19, 23, 26, 31, 36, 40, 46, 52, 57, 64, 71, 77, 85, 93, 100, 109, 118, 126, 136, 146, 155, 166, 177, 187, 199, 211, 222, 235, 248, 260, 274, 288, 301, 316, 331, 345, ...

MCS3104 (alias MCS6570252) : A₀ = 0; A₁ = 1; A₂ = 2; A_K+1 = A_K-2 + K (score: 4)

2, 2, 4, 6, 8, 14, 20, 30, 48, 70, 108, 166, 248, 382, 580, 878, 1344, 2038, 3100, 4726, 7176, 10926, 16628, 25278, 38480, 58534, 89036, 135494, 206104, 313566, 477092, 725774, 1104224, 1679958, ...

MCS3162764 : A₀ = 1; A₁ = 2; A₂ = 2; A_N = A_N-2 + 2 A_N-3 (score: 5)

2, 2, 4, 6, 10, 14, 20, 26, 34, 42, 52, 62, 74, 86, 100, 114, 130, 146, 164, 182, 202, 222, 244, 266, 290, 314, 340, 366, 394, 422, 452, 482, 514, 546, 580, 614, 650, 686, 724, 762, 802, 842, 884, ...

MCS6858778 : A₀ = 2; A₁ = 2; A_K+1 = A_K-1 + 2 K (score: 5)

2, 2, 4, 6, 10, 16, 26, 42, 68, 110, 178, 288, 466, 754, 1220, 1974, 3194, 5168, 8362, 13530, 21892, 35422, 57314, 92736, 150050, 242786, 392836, 635622, 1028458, 1664080, 2692538, 4356618, ...

MCS107584 (alias MCS3442714) : A₀ = 0; A₁ = 2; A_N = A_N-1 + A_N-2 (score: 4)

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

2, 2, 4, 6, 16, 30, 96, 210, 768, 1890, 7680, 20790, 92160, 270270, 1290240, 4054050, 20643840, 68918850, 371589120, 1309458150, 7431782400, 27498621150, 163499212800, 632468286450, ...

MCS3416218 : A₀ = 2; A₁ = 2; A_K+1 = K A_K-1 + A_K-1 (score: 5)

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