Minimally Complex Sequences  


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

2, 2, 2, 4, 5, 4, 6, 9, 7, 7, 13, 12, 7, 15, 20, 8, 12, 30, 15, 2, 36, 35, -11, 25, 71, -10, -19, 109, 38, -98, 102, 168, -167, -32, 370, -99, -365, 507, 305, -832, 243, 1179, -1032, -892, 2256, ...

MCS6369542 : A0 = 1; A1 = 1; A2 = 2; AK+1 = - AK-1 + AK-2 + K (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; AK+1 = AK-2 + K - 1 (score: 5)

2, 2, 2, 4, 6, 4, 2, 8, 14, 4, -6, 16, 38, -4, -46, 40, 126, -44, -214, 128, 470, -212, -894, 472, 1838, -892, -3622, 1840, 7302, -3620, -14542, 7304, 29150, -14540, -58230, 29152, 116534, -58228, ...

MCS13397 : A0 = 0; A1 = 1; AK+1 = - 2 AK-1 + 2 K (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; AK+1 = - AK-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; AN = AN-1 + AN-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; AK+1 = K AK-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; AK+1 = AK + 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; AK+1 = K AK - AK-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; AK+1 = AK-2 + K (score: 5)

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

MCS13110381 (alias MCS26220762) : A0 = -1; A1 = -1; A2 = -1; AN = - AN-3 + 1 (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, ...

MCS6297818 : A0 = 2; A1 = 2; A2 = 2; AN = - AN-3 (score: 4)

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

MCS26745050 : A0 = 2; A1 = 2; A2 = 2; AN = - AN-3 - 1 (score: 5)

2, 2, 2, -4, 2, -4, 8, -10, 14, -22, 32, -46, 68, -100, 146, -214, 314, -460, 674, -988, 1448, -2122, 3110, -4558, 6680, -9790, 14348, -21028, 30818, -45166, 66194, -97012, 142178, -208372, ...

MCS25958618 : A0 = 2; A1 = 2; A2 = 2; AN = - AN-1 - AN-3 (score: 5)

2, 2, 2, -4, -4, 2, 8, 2, -10, -10, 8, 20, 2, -28, -22, 26, 50, -4, -76, -46, 80, 122, -34, -202, -88, 236, 290, -148, -526, -142, 674, 668, -532, -1342, -136, 1874, 1478, -1738, -3352, 260, 5090, ...

MCS25368794 : A0 = 2; A1 = 2; A2 = 2; AN = - AN-2 - AN-3 (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, ...

MCS12594285 (alias MCS25188570) : A0 = -1; A1 = -1; A2 = -1; AN = - 2 AN-3 (score: 5)

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

MCS25565402 : A0 = 2; A1 = 2; A2 = 2; AK+1 = - AK-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; AK+1 = - AK-2 + K (score: 5)

2, 2, 3, 0, 1, -3, 1, -4, 4, -5, 8, -9, 13, -17, 22, -30, 39, -52, 69, -91, 121, -160, 212, -281, 372, -493, 653, -865, 1146, -1518, 2011, -2664, 3529, -4675, 6193, -8204, 10868, -14397, 19072, ...

MCS6325786 : A0 = 2; A1 = 2; A2 = 3; AN = AN-2 - AN-3 (score: 5)

2, 2, 3, 0, -1, 3, 1, -4, 2, 5, -6, -3, 11, -3, -14, 14, 11, -28, 3, 39, -31, -36, 70, 5, -106, 65, 111, -171, -46, 282, -125, -328, 407, 203, -735, 204, 938, -939, -734, 1877, -205, -2611, 2082, ...

MCS6341658 : A0 = 2; A1 = 2; A2 = 3; AN = - AN-2 + AN-3 (score: 5)

2, 2, 3, 0, -1, -1, -5, -7, -8, -13, -16, -18, -24, -28, -31, -38, -43, -47, -55, -61, -66, -75, -82, -88, -98, -106, -113, -124, -133, -141, -153, -163, -172, -185, -196, -206, -220, -232, -243, ...

MCS6390810 : A0 = 2; A1 = 2; A2 = 3; AK+1 = AK-2 - K (score: 5)

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

MCS6685722 : A0 = 2; A1 = 2; A2 = 3; AN = AN-3 - 1 (score: 5)

2, 2, 3, 1, -1, -4, -5, -4, 0, 5, 9, 9, 4, -5, -14, -18, -13, 1, 19, 32, 31, 12, -20, -51, -63, -43, 8, 71, 114, 106, 35, -79, -185, -220, -141, 44, 264, 405, 361, 97, -308, -669, -766, -458, 211, ...

MCS6424090 : A0 = 2; A1 = 2; A2 = 3; AN = AN-1 - AN-3 (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; AN = AN-3 (score: 4)

2, 2, 3, 2, 3, 0, 1, -6, -5, -20, -19, -50, -49, -112, -111, -238, -237, -492, -491, -1002, -1001, -2024, -2023, -4070, -4069, -8164, -8163, -16354, -16353, -32736, -32735, -65502, -65501, ...

MCS1740096 (alias MCS6870042) : A0 = 1; A1 = 2; AK+1 = 2 AK-1 - K + 1 (score: 5)

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

2, 2, 3, 2, 4, 1, 6, -2, 11, -10, 24, -31, 58, -86, 147, -230, 380, -607, 990, -1594, 2587, -4178, 6768, -10943, 17714, -28654, 46371, -75022, 121396, -196415, 317814, -514226, 832043, -1346266, ...

MCS12369 (alias MCS3166604) : A0 = 0; A1 = 1; A2 = 2; AN = 2 AN-2 - AN-3 (score: 5)

2, 2, 3, 2, 4, 2, 6, 1, 9, -2, 15, -9, 27, -25, 52, -60, 105, -136, 218, -300, 460, -653, 979, -1412, 2093, -3043, 4485, -6547, 9622, -14074, 20655, -30242, 44352, -64970, 95250, -139563, 204573, ...

MCS813105 : A0 = 0; A1 = 1; A2 = 1; AK+1 = - AK - AK-2 + K (score: 5)

2, 2, 3, 3, 3, 2, 0, -4, -11, -23, -43, -76, -130, -218, -361, -593, -969, -1578, -2564, -4160, -6743, -10923, -17687, -28632, -46342, -74998, -121365, -196389, -317781, -514198, -832008, ...

MCS13789210 : A0 = 2; A1 = 2; AK+1 = AK + AK-1 - 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; AN = AN-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, MCS1006401, MCS1607777, MCS1675361, MCS1737741, MCS3475482, MCS6431110, MCS6431116, MCS6570374, MCS6894854)

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

Integers repeated (A4526)

2, 2, 3, 3, 5, 5, 8, 7, 11, 8, 14, 8, 18, 7, 24, 4, 33, -3, 47, -17, 70, -43, 109, -90, 176, -174, 292, -323, 494, -586, 847, -1049, 1465, -1863, 2548, -3293, 4447, -5804, 7778, -10212, 13622, ...

MCS6365580 : A0 = 1; A1 = 2; A2 = 2; AK+1 = AK-1 - AK-2 + K (score: 5)

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

2, 2, 3, 4, 4, 6, 6, 7, 9, 8, 11, 11, 11, 15, 12, 16, 17, 14, 22, 16, 20, 25, 15, 30, 21, 21, 37, 13, 38, 30, 15, 56, 8, 42, 50, -5, 85, 4, 31, 95, -49, 123, 16, -20, 189, -126, 154, 84, -160, ...

MCS26018870 : A0 = 1; A1 = 1; A2 = 1; AK+1 = - AK + AK-2 + K (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; AN = 2 AN-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; AK+1 = AK-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; AN = AN-2 + AN-3 (score: 4)

Padovan numbers (A0931)

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

2, 2, 3, 4, 6, 8, 10, 11, 11, 10, 9, 9, 11, 15, 20, 24, 25, 22, 16, 10, 8, 13, 25, 40, 51, 51, 37, 13, -10, -18, -1, 40, 90, 124, 118, 63, -25, -106, -131, -67, 79, 251, 360, 324, 117, -198, -476, ...

MCS6439308 : A0 = 1; A1 = 2; A2 = 2; AK+1 = AK - AK-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; AK+1 = AK-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; AN = AN-1 + AN-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; AK+1 = K AK-1 - AK-2 (score: 5)

2, 2, 3, 5, 5, 5, 8, 9, 7, 10, 14, 10, 10, 19, 16, 8, 21, 27, 7, 15, 42, 15, -3, 52, 44, -28, 36, 101, -34, -34, 167, 33, -167, 169, 236, -299, -29, 574, -230, -562, 846, 375, -1364, 516, 1785, ...

MCS1592385 : A0 = 0; A1 = 0; A2 = 1; AK+1 = - AK-1 + AK-2 + K (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; AN = 2 AN-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; AK+1 = - AK-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; AK+1 = AK-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; AN = AN-1 + AN-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; AK+1 = AK + K (score: 3)

Triangle numbers Plus Two (A22856)

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; AK+1 = K AK-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; AN = 3 AN-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; AK+1 = AK-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; AK+1 = AK-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; AK+1 = K AK-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; AK+1 = AK-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; AK+1 = - AK-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; AK+1 = AK + K2 (score: 4)

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

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

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

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

2, 2, 3, -1, 3, 0, -1, 4, -4, 3, 1, -5, 8, -7, 2, 6, -13, 15, -9, -4, 19, -28, 24, -5, -23, 47, -52, 29, 18, -70, 99, -81, 11, 88, -169, 180, -92, -77, 257, -349, 272, -15, -334, 606, -621, 287, ...

MCS6489114 : A0 = 2; A1 = 2; A2 = 3; AN = - AN-1 + AN-3 (score: 5)

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

MCS6555162 : A0 = 2; A1 = 2; A2 = 3; AN = - AN-3 + 1 (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, ...

MCS1574426 : A0 = 2; A1 = 2; A2 = 3; AN = - AN-3 (score: 4)

2, 2, 3, -3, -3, -4, 2, 2, 3, -3, -3, -4, 2, 2, 3, -3, -3, -4, 2, 2, 3, -3, -3, -4, 2, 2, 3, -3, -3, -4, 2, 2, 3, -3, -3, -4, 2, 2, 3, -3, -3, -4, 2, 2, 3, -3, -3, -4, 2, 2, 3, -3, -3, -4, 2, 2, ...

MCS6686234 : A0 = 2; A1 = 2; A2 = 3; AN = - AN-3 - 1 (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, ...

MCS6297114 : A0 = 2; A1 = 2; A2 = 3; AN = - 2 AN-3 (score: 5)

2, 2, 3, -4, -5, 1, 9, 4, -10, -13, 6, 23, 7, -29, -30, 22, 59, 8, -81, -67, 73, 148, -6, -221, -142, 227, 363, -85, -590, -278, 675, 868, -397, -1543, -471, 1940, 2014, -1469, -3954, -545, 5423, ...

MCS6342170 : A0 = 2; A1 = 2; A2 = 3; AN = - AN-2 - AN-3 (score: 5)

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

MCS6391322 : A0 = 2; A1 = 2; A2 = 3; AK+1 = - AK-2 - K (score: 5)

2, 2, 3, -5, 3, -6, 11, -14, 20, -31, 45, -65, 96, -141, 206, -302, 443, -649, 951, -1394, 2043, -2994, 4388, -6431, 9425, -13813, 20244, -29669, 43482, -63726, 93395, -136877, 200603, -293998, ...

MCS6489626 : A0 = 2; A1 = 2; A2 = 3; AN = - AN-1 - AN-3 (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; AK+1 = AK + 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; AN = AN-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; AK+1 = - AK-2 + K (score: 5)

2, 2, 4, 3, 7, 3, 12, 0, 22, -11, 45, -43, 102, -130, 248, -361, 627, -969, 1616, -2564, 4202, -6743, 10969, -17687, 28682, -46342, 75052, -121365, 196447, -317781, 514260, -832008, 1346302, ...

MCS3461638 (alias MCS13947398) : A0 = 1; A1 = 1; AK+1 = - AK + AK-1 + K (score: 4)

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; AK+1 = 3 AK-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; AK+1 = - AK + 2 K (score: 3)

Even numbers repeated (A52928)

2, 2, 4, 4, 7, 6, 10, 7, 13, 7, 17, 6, 23, 3, 32, -4, 46, -18, 69, -44, 108, -91, 175, -175, 291, -324, 493, -587, 846, -1050, 1464, -1864, 2547, -3294, 4446, -5805, 7777, -10213, 13621, -17950, ...

MCS6365574 : A0 = 1; A1 = 1; A2 = 2; AK+1 = AK-1 - AK-2 + K (score: 5)

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; AN = 2 AN-2 (score: 3)

Powers of two repeated (A16116)

Horadam sequence Wn(1, 1; 2, 0) ; Horadam sequence Wn(1, 2; 2, 0) ; Horadam sequence Wn(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; AN = AN-2 + AN-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; AK+1 = AK-1 + K (score: 3)

Interleaves N2+1 (A2522) with N2+N+2 (A14206)

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; AK+1 = AK-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; AN = AN-2 + 2 AN-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; AK+1 = AK-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; AN = AN-1 + AN-2 (score: 4)

Horadam sequence Wn(0, 2; 1, 1) ; Horadam sequence Wn(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; AK+1 = K AK-1 + AK-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; AK+1 = - AK-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; AK+1 = AK-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; AK+1 = 2 AK-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; AN = AN-1 + AN-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; AK+1 = AK + K AK-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; AN = AN-1 + 2 AN-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; AK+1 = AK + 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, ...

MCS3440794 : A0 = 2; A1 = 2; AK+1 = AK + K AK-1 (score: 5)

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

MCS860936 : A0 = 1; A1 = 2; AK+1 = AK + K AK-1 - AK-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; AK+1 = 2 K AK-1 (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, ...

MCS6297754 : A0 = 2; A1 = 2; A2 = 4; AN = - AN-3 (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; AK+1 = AK + K2 + K (score: 5)

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

MCS7852 : A0 = 0; AK+1 = K AK - AK + 2 (score: 5)

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

MCS250946 : A0 = 2; AK+1 = K AK + 2 (score: 5)

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

MCS3417114 : A0 = 2; A1 = 2; AK+1 = K AK + AK-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; AK+1 = AK - AK-1 + K2 (score: 5)

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

MCS858688 : A0 = 1; A1 = 2; AK+1 = K AK + AK-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; AK+1 = AK + 2 K2 (score: 5)

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

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

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

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

2, 2, 5, 3, 12, 0, 31, -23, 94, -130, 329, -577, 1248, -2388, 4899, -9659, 19474, -38774, 77741, -155269, 310772, -621288, 1242855, -2485407, 4971142, -9941930, 19884241, -39768073, 79536584, ...

MCS6923526 : A0 = 1; A1 = 1; AK+1 = - AK + 2 AK-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; AN = 2 AN-2 + 1 (score: 5)


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