Munafo's Classical Sequences

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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)

2, 2, 4, 7, 8, 8, 10, 13, 14, 14, 16, 19, 20, 20, 22, 25, 26, 26, 28, 31, 32, 32, 34, 37, 38, 38, 40, 43, 44, 44, 46, 49, 50, 50, 52, 55, 56, 56, 58, 61, 62, 62, 64, 67, 68, 68, 70, 73, 74, 74, ...

MCS429760 : A₀ = 1; A₁ = 2; A_K+1 = - A_K-1 + 3 K (score: 5)

2, 2, 4, 7, 8, 11, 15, 17, 21, 26, 29, 34, 40, 44, 50, 57, 62, 69, 77, 83, 91, 100, 107, 116, 126, 134, 144, 155, 164, 175, 187, 197, 209, 222, 233, 246, 260, 272, 286, 301, 314, 329, 345, 359, ...

MCS1589509 : A₀ = 0; A₁ = -1; A₂ = 0; A_K+1 = A_K-2 + K (score: 5)

2, 2, 4, 7, 8, 13, 20, 23, 34, 49, 56, 79, 110, 125, 172, 235, 266, 361, 488, 551, 742, 997, 1124, 1507, 2018, 2273, 3040, 4063, 4574, 6109, 8156, 9179, 12250, 16345, 18392, 24535, 32726, 36821, ...

MCS3179148 : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = 2 A_K-2 + K (score: 5)

2, 2, 4, 7, 10, 15, 23, 34, 50, 74, 109, 160, 235, 345, 506, 742, 1088, 1595, 2338, 3427, 5023, 7362, 10790, 15814, 23177, 33968, 49783, 72961, 106930, 156714, 229676, 336607, 493322, 722999, ...

MCS6586636 : A₀ = 1; A₁ = 2; A₂ = 2; A_N = A_N-1 + A_N-3 + 1 (score: 5)

2, 2, 4, 7, 19, 49, 157, 493, 1741, 6169, 23569, 91417, 374233, 1562641, 6801889, 30241489, 139071697, 653176993, 3156467521, 15566830369, 78696180769, 405599618497, ...

MCS861704 : A₀ = 1; A₁ = 2; A_K+1 = A_K + K A_K-1 - K (score: 5)

2, 2, 4, 8, 12, 20, 36, 60, 100, 172, 292, 492, 836, 1420, 2404, 4076, 6916, 11724, 19876, 33708, 57156, 96908, 164324, 278636, 472452, 801100, 1358372, 2303276, 3905476, 6622220, 11228772, ...

MCS12546 (alias MCS3211916) : A₀ = 0; A₁ = 1; A₂ = 2; A_N = A_N-1 + 2 A_N-3 (score: 5)

2, 2, 4, 8, 14, 22, 32, 44, 58, 74, 92, 112, 134, 158, 184, 212, 242, 274, 308, 344, 382, 422, 464, 508, 554, 602, 652, 704, 758, 814, 872, 932, 994, 1058, 1124, 1192, 1262, 1334, 1408, 1484, ...

MCS248130 (alias MCS14166) : A₀ = 2; A_K+1 = A_K + 2 K (score: 4)

2, 2, 4, 8, 20, 52, 152, 464, 1528, 5240, 18992, 71392, 280304, 1137008, 4780960, 20699072, 92413472, 423598624, 1994627648, 9619402880, 47517328192, 239905385792, ...

MCS860936 (alias MCS3440794) : A₀ = 1; A₁ = 2; A_K+1 = A_K + K A_K-1 - A_K-1 (score: 5)

2, 2, 4, 8, 24, 64, 240, 768, 3360, 12288, 60480, 245760, 1330560, 5898240, 34594560, 165150720, 1037836800, 5284823040, 35286451200, 190253629440, ...

MCS1704282 : A₀ = 2; A₁ = 2; A_K+1 = 2 K A_K-1 (score: 5)

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, 14282, ...

MCS496162 : A₀ = 2; A_K+1 = A_K + K² + K (score: 5)

2, 2, 4, 10, 32, 130, 652, 3914, 27400, 219202, 1972820, 19728202, 217010224, 2604122690, 33853594972, 473950329610, ...

MCS7852 (alias MCS250946) : A₀ = 0; A_K+1 = K A_K - A_K + 2 (score: 5)

2, 2, 4, 10, 34, 146, 764, 4730, 33874, 275722, 2515372, 25429442, 282239234, 3412300250, 44642142484, 628402295026, ...

MCS3417114 : A₀ = 2; A₁ = 2; A_K+1 = K A_K + A_K-1 (score: 5)

2, 2, 4, 11, 23, 37, 50, 62, 76, 95, 119, 145, 170, 194, 220, 251, 287, 325, 362, 398, 436, 479, 527, 577, 626, 674, 724, 779, 839, 901, 962, 1022, 1084, 1151, 1223, 1297, 1370, 1442, 1516, 1595, ...

MCS860960 : A₀ = 1; A₁ = 2; A_K+1 = A_K - A_K-1 + K² (score: 5)

2, 2, 4, 11, 44, 226, 1394, 9977, 81202, 740786, 7489052, 83120347, 1004933204, 13147251986, 185066460994, ...

MCS858688 : A₀ = 1; A₁ = 2; A_K+1 = K A_K + A_K-1 - K (score: 5)

2, 2, 4, 12, 30, 62, 112, 184, 282, 410, 572, 772, 1014, 1302, 1640, 2032, 2482, 2994, 3572, 4220, 4942, 5742, 6624, 7592, 8650, 9802, 11052, 12404, 13862, 15430, 17112, 18912, 20834, 22882, ...

MCS247890 : A₀ = 2; A_K+1 = A_K + 2 K² (score: 5)

2, 2, 4, 12, 48, 240, 1440, 10080, 80640, 725760, 7257600, 79833600, 958003200, 12454041600, 174356582400, ...

MCS123970 : A₀ = 2; A_K+1 = K A_K + A_K (score: 4)

2, 2, 4, 13, 52, 252, 1466, 10017, 78678, 698094, 6902272, 75226909, 895820648, 11570441528, 161090360758, ...

MCS856896 : A₀ = 1; A₁ = 2; A_K+1 = K A_K - A_K-1 + K (score: 5)

2, 2, 5, 5, 11, 11, 23, 23, 47, 47, 95, 95, 191, 191, 383, 383, 767, 767, 1535, 1535, 3071, 3071, 6143, 6143, 12287, 12287, 24575, 24575, 49151, 49151, 98303, 98303, 196607, 196607, 393215, ...

MCS6951962 : A₀ = 2; A₁ = 2; A_N = 2 A_N-2 + 1 (score: 5)

2, 2, 5, 5, 14, 14, 41, 41, 122, 122, 365, 365, 1094, 1094, 3281, 3281, 9842, 9842, 29525, 29525, 88574, 88574, 265721, 265721, 797162, 797162, 2391485, 2391485, 7174454, 7174454, 21523361, ...

MCS438720 (alias MCS1754886) : A₀ = 1; A₁ = 2; A_N = 3 A_N-2 - 1 (score: 5)

2, 2, 5, 6, 10, 12, 17, 20, 26, 30, 37, 42, 50, 56, 65, 72, 82, 90, 101, 110, 122, 132, 145, 156, 170, 182, 197, 210, 226, 240, 257, 272, 290, 306, 325, 342, 362, 380, 401, 420, 442, 462, 485, ...

MCS3428 (alias MCS434752, MCS3426326) : A₀ = 0; A₁ = 1; A_K+1 = A_K-1 + K - 1 (score: 4)

2, 2, 5, 6, 12, 17, 30, 46, 77, 122, 200, 321, 522, 842, 1365, 2206, 3572, 5777, 9350, 15126, 24477, 39602, 64080, 103681, 167762, 271442, 439205, 710646, 1149852, 1860497, 3010350, 4870846, ...

MCS6184 (alias MCS3166476) : A₀ = 0; A₁ = 1; A₂ = 2; A_N = 2 A_N-2 + A_N-3 (score: 5)

2, 2, 5, 6, 13, 16, 31, 38, 69, 84, 147, 178, 305, 368, 623, 750, 1261, 1516, 2539, 3050, 5097, 6120, 10215, 12262, 20453, 24548, 40931, 49122, 81889, 98272, 163807, 196574, 327645, 393180, ...

MCS1755456 (alias MCS6853658) : A₀ = 1; A₁ = 2; A_K+1 = 2 A_K-1 + K - 1 (score: 5)

2, 2, 5, 6, 23, 31, 155, 225, 1364, 2095, 14779, 23776, 190032, 318085, 2826704, 4899328, 47735883, 85361200, 902082449, 1659488117, 18858370229, 35606656125, 432083027150, 835701376771, ...

MCS6150 : A₀ = 0; A₁ = 1; A₂ = 2; A_K+1 = K A_K-1 - A_K-2 (score: 5)

2, 2, 5, 7, 11, 17, 24, 35, 49, 68, 94, 128, 174, 235, 316, 424, 567, 757, 1009, 1343, 1786, 2373, 3151, 4182, 5548, 7358, 9756, 12933, 17142, 22718, 30105, 39891, 52855, 70029, 92780, 122919, ...

MCS6365452 : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = A_K-1 + A_K-2 + K (score: 5)

2, 2, 5, 7, 12, 16, 23, 29, 38, 46, 57, 67, 80, 92, 107, 121, 138, 154, 173, 191, 212, 232, 255, 277, 302, 326, 353, 379, 408, 436, 467, 497, 530, 562, 597, 631, 668, 704, 743, 781, 822, 862, 905, ...

MCS1755776 : A₀ = 1; A₁ = 2; A_K+1 = A_K-1 + 2 K - 1 (score: 5)

2, 2, 5, 7, 21, 36, 127, 253, 1017, 2278, 10171, 25059, 122053, 325768, 1708743, 4886521, 27339889, 83070858, 492118003, 1578346303, 9842360061, 33145272364, 216531921343, 762341264373, ...

MCS217096 : A₀ = 1; A₁ = 2; A_K+1 = K A_K-1 + 1 (score: 4)

2, 2, 5, 8, 9, 16, 23, 26, 41, 56, 63, 94, 125, 140, 203, 266, 297, 424, 551, 614, 869, 1124, 1251, 1762, 2273, 2528, 3551, 4574, 5085, 7132, 9179, 10202, 14297, 18392, 20439, 28630, 36821, 40916, ...

MCS12418 : A₀ = 0; A₁ = 1; A₂ = 2; A_K+1 = 2 A_K-2 + K (score: 5)

2, 2, 5, 8, 10, 15, 20, 24, 31, 38, 44, 53, 62, 70, 81, 92, 102, 115, 128, 140, 155, 170, 184, 201, 218, 234, 253, 272, 290, 311, 332, 352, 375, 398, 420, 445, 470, 494, 521, 548, 574, 603, 632, ...

MCS3186956 : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = A_K-2 + 2 K (score: 5)

2, 2, 5, 8, 14, 23, 38, 62, 101, 164, 266, 431, 698, 1130, 1829, 2960, 4790, 7751, 12542, 20294, 32837, 53132, 85970, 139103, 225074, 364178, 589253, 953432, 1542686, 2496119, 4038806, 6534926, ...

MCS13928474 : A₀ = 2; A₁ = 2; A_N = A_N-1 + A_N-2 + 1 (score: 5)

2, 2, 5, 8, 22, 45, 140, 337, 1165, 3173, 11987, 36068, 147017, 480871, 2094306, 7360082, 33989767, 127215700, 619175888, 2451088067, 12510733460, 52092025295, 277687224187, ...

MCS1574028 : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = K A_K-1 + A_K-2 (score: 5)

2, 2, 5, 9, 16, 30, 55, 101, 186, 342, 629, 1157, 2128, 3914, 7199, 13241, 24354, 44794, 82389, 151537, 278720, 512646, 942903, 1734269, 3189818, 5866990, 10791077, 19847885, 36505952, 67144914, ...

MCS6430988 : A₀ = 1; A₁ = 2; A₂ = 2; A_N = A_N-1 + A_N-2 + A_N-3 (score: 5)

2, 2, 5, 9, 17, 30, 52, 88, 147, 243, 399, 652, 1062, 1726, 2801, 4541, 7357, 11914, 19288, 31220, 50527, 81767, 132315, 214104, 346442, 560570, 907037, 1467633, 2374697, 3842358, 6217084, ...

MCS13781018 : A₀ = 2; A₁ = 2; A_K+1 = A_K + A_K-1 + K (score: 5)

2, 2, 5, 10, 16, 26, 42, 65, 99, 150, 225, 335, 497, 735, 1084, 1596, 2347, 3448, 5062, 7428, 10896, 15979, 23429, 34348, 50351, 73805, 108179, 158557, 232390, 340598, 499185, 731606, 1072236, ...

MCS6439180 : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = A_K + A_K-2 + K (score: 5)

2, 2, 5, 10, 29, 78, 251, 796, 2803, 9966, 37995, 147620, 603559, 2522618, 10972443, 48811712, 224370799, 1054169902, 5092844283, 25122072420, 126978958079, 654542478898, ...

MCS878600 : A₀ = 1; A₁ = 2; A_K+1 = A_K + K A_K-1 - 1 (score: 5)

2, 2, 5, 11, 18, 30, 47, 67, 94, 128, 167, 215, 272, 336, 411, 497, 592, 700, 821, 953, 1100, 1262, 1437, 1629, 1838, 2062, 2305, 2567, 2846, 3146, 3467, 3807, 4170, 4556, 4963, 5395, 5852, 6332, ...

MCS1575180 : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = A_K-2 + K² (score: 5)

2, 2, 5, 11, 20, 32, 47, 65, 86, 110, 137, 167, 200, 236, 275, 317, 362, 410, 461, 515, 572, 632, 695, 761, 830, 902, 977, 1055, 1136, 1220, 1307, 1397, 1490, 1586, 1685, 1787, 1892, 2000, 2111, ...

MCS248258 : A₀ = 2; A_K+1 = A_K + 3 K (score: 5)

2, 2, 5, 12, 26, 57, 126, 278, 613, 1352, 2982, 6577, 14506, 31994, 70565, 155636, 343266, 757097, 1669830, 3682926, 8122949, 17915728, 39514382, 87151713, 192219154, 423952690, 935057093, ...

MCS3227916 : A₀ = 1; A₁ = 2; A₂ = 2; A_N = 2 A_N-1 + A_N-3 (score: 5)

2, 2, 5, 16, 68, 355, 2197, 15733, 128060, 1168272, 11810779, 131086840, 1584852858, 20734173993, 291863288759, ...

MCS877120 : A₀ = 1; A₁ = 2; A_K+1 = K A_K + A_K-1 - 1 (score: 5)

2, 2, 5, 17, 70, 355, 2147, 15099, 121147, 1092470, 10939799, 120458936, 1446599702, 18816735925, 263554761886, ...

MCS1577228 : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = K A_K + A_K-2 (score: 5)

2, 2, 5, 17, 71, 359, 2159, 15119, 120959, 1088639, 10886399, 119750399, 1437004799, 18681062399, 261534873599, ...

MCS496194 : A₀ = 2; A_K+1 = K A_K + A_K + K (score: 5)

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

MCS872769 : A₀ = 0; A₁ = 0; A_N = 2 A_N-2 + 2 (score: 5)

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

MCS1711130 : A₀ = 2; A₁ = 2; A_N = 3 A_N-2 (score: 5)

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

2, 2, 6, 7, 12, 14, 20, 23, 30, 34, 42, 47, 56, 62, 72, 79, 90, 98, 110, 119, 132, 142, 156, 167, 182, 194, 210, 223, 240, 254, 272, 287, 306, 322, 342, 359, 380, 398, 420, 439, 462, 482, 506, ...

MCS3478021 : A₀ = 0; A₁ = -1; A_K+1 = A_K-1 + K + 1 (score: 5)

2, 2, 6, 8, 14, 18, 26, 32, 42, 50, 62, 72, 86, 98, 114, 128, 146, 162, 182, 200, 222, 242, 266, 288, 314, 338, 366, 392, 422, 450, 482, 512, 546, 578, 614, 648, 686, 722, 762, 800, 842, 882, 926, ...

MCS214336 : A₀ = 0; A₁ = 2; A_K+1 = A_K-1 + 2 K (score: 5)

2, 2, 6, 8, 30, 48, 210, 384, 1890, 3840, 20790, 46080, 270270, 645120, 4054050, 10321920, 68918850, 185794560, 1309458150, 3715891200, 27498621150, 81749606400, 632468286450, ...

MCS213512 : A₀ = 1; A₁ = 2; A_K+1 = K A_K-1 + A_K-1 (score: 4)

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