Munafo's Classical Sequences

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2, 11, 26, 47, 74, 107, 146, 191, 242, 299, 362, 431, 506, 587, 674, 767, 866, 971, 1082, 1199, 1322, 1451, 1586, 1727, 1874, 2027, 2186, 2351, 2522, 2699, 2882, 3071, 3266, 3467, 3674, 3887, ...

MCS7091 : A_K = 3 K² - 1 (score: 5)

2, 12, 36, 80, 150, 252, 392, 576, 810, 1100, 1452, 1872, 2366, 2940, 3600, 4352, 5202, 6156, 7220, 8400, 9702, 11132, 12696, 14400, 16250, 18252, 20412, 22736, 25230, 27900, 30752, 33792, 37026, ...

MCS3524 : A_K = K³ + K² (score: 5)

2, 12, 42, 110, 240, 462, 812, 1332, 2070, 3080, 4422, 6162, 8372, 11130, 14520, 18632, 23562, 29412, 36290, 44310, 53592, 64262, 76452, 90300, 105950, 123552, 143262, 165242, 189660, 216690, ...

MCS15504 : A₀ = 0; A_K+1 = A_K + K³ + K (score: 5)

2, 12, 42, 116, 282, 636, 1370, 2868, 5898, 11996, 24234, 48756, 97850, 196092, 392634, 785780, 1572138, 3144924, 6290570, 12581940, 25164762, 50330492, 100662042, 201325236, 402651722, 805304796, ...

MCS15522 : A₀ = 0; A_K+1 = 2 A_K + 2 K² (score: 5)

2, 12, 54, 248, 1290, 7812, 54782, 438384, 3945618, 39456380, 434020422, 5208245352, 67707189914, 947900659188, ...

MCS7698 (alias MCS61588) : A₀ = 0; A_K+1 = K A_K + 2 K² (score: 5)

2, 12, 60, 320, 1950, 13692, 109592, 986400, 9864090, 108505100, 1302061332, 16926797472, 236975164790, ...

MCS7732 (alias MCS123720) : A₀ = 0; A_K+1 = K A_K + K² - K (score: 5)

2, 12, 78, 632, 6330, 75972, 1063622, 17017968, 306323442, 6126468860, 134782314942, ...

MCS7722 (alias MCS123560) : A₀ = 0; A_K+1 = 2 K A_K + 2 K (score: 5)

2, 14, 40, 88, 162, 270, 416, 608, 850, 1150, 1512, 1944, 2450, 3038, 3712, 4480, 5346, 6318, 7400, 8600, 9922, 11374, 12960, 14688, 16562, 18590, 20776, 23128, 25650, 28350, 31232, 34304, 37570, ...

MCS15554 : A₀ = 0; A_K+1 = - A_K + 2 K³ (score: 5)

2, 16, 54, 128, 250, 432, 686, 1024, 1458, 2000, 2662, 3456, 4394, 5488, 6750, 8192, 9826, 11664, 13718, 16000, 18522, 21296, 24334, 27648, 31250, 35152, 39366, 43904, 48778, 54000, 59582, 65536, ...

MCS3522 : A_K = 2 K³ (score: 4)

2, 18, 72, 200, 450, 882, 1568, 2592, 4050, 6050, 8712, 12168, 16562, 22050, 28800, 36992, 46818, 58482, 72200, 88200, 106722, 128018, 152352, 180000, 211250, 246402, 285768, 329672, 378450, ...

MCS15490 : A₀ = 0; A_K+1 = A_K + 2 K³ (score: 5)

3, 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, 0, ...

MCS30787 (alias MCS30819, MCS61603, MCS123235)

A₀ = 3; A_K+1 = K A_K (score: 4)

3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, ...

MCS786965 : A₀ = 0; A₁ = 0; A₂ = 3; A_N = A_N-3 (score: 5)

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

MCS6923789 : A₀ = -1; A₁ = -1; A_K+1 = - A_K - A_K-1 + K (score: 5)

3, 0, 0, 9, 0, 0, 27, 0, 0, 81, 0, 0, 243, 0, 0, 729, 0, 0, 2187, 0, 0, 6561, 0, 0, 19683, 0, 0, 59049, 0, 0, 177147, 0, 0, 531441, 0, 0, 1594323, 0, 0, 4782969, 0, 0, 14348907, 0, 0, 43046721, 0, ...

MCS196833 : A₀ = 0; A₁ = 0; A₂ = 1; A_N = 3 A_N-3 (score: 5)

3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, ...

MCS24592 : A₀ = 0; A₁ = 1; A₂ = 3; A_N = A_N-3 (score: 4)

3, 0, 1, 4, 15, 64, 325, 1956, 13699, 109600, 986409, 9864100, 108505111, 1302061344, 16926797485, 236975164804, ...

MCS123459 : A₀ = 3; A_K+1 = K A_K + K (score: 5)

3, 0, 1, 9, 15, 16, 21, 33, 43, 48, 57, 73, 87, 96, 109, 129, 147, 160, 177, 201, 223, 240, 261, 289, 315, 336, 361, 393, 423, 448, 477, 513, 547, 576, 609, 649, 687, 720, 757, 801, 843, 880, 921, ...

MCS855172 : A₀ = 1; A₁ = 3; A_K+1 = - A_K-1 + K² (score: 5)

3, 0, 2, 6, 0, 4, 12, 0, 8, 24, 0, 16, 48, 0, 32, 96, 0, 64, 192, 0, 128, 384, 0, 256, 768, 0, 512, 1536, 0, 1024, 3072, 0, 2048, 6144, 0, 4096, 12288, 0, 8192, 24576, 0, 16384, 49152, 0, 32768, ...

MCS49192 : A₀ = 0; A₁ = 1; A₂ = 3; A_N = 2 A_N-3 (score: 5)

3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, ...

MCS989 (alias MCS106754) : A₀ = 0; A_N = - A_N-1 + 3 (score: 4)

Horadam sequence W_n(0, 3; 1, 0)

3, 0, 3, 0, 9, 0, 45, 0, 315, 0, 2835, 0, 31185, 0, 405405, 0, 6081075, 0, 103378275, 0, 1964187225, 0, 41247931725, 0, 948702429675, 0, ...

MCS855076 : A₀ = 1; A₁ = 3; A_K+1 = K A_K-1 - A_K-1 (score: 5)

3, 0, 4, 1, 5, 2, 6, 3, 7, 4, 8, 5, 9, 6, 10, 7, 11, 8, 12, 9, 13, 10, 14, 11, 15, 12, 16, 13, 17, 14, 18, 15, 19, 16, 20, 17, 21, 18, 22, 19, 23, 20, 24, 21, 25, 22, 26, 23, 27, 24, 28, 25, 29, ...

MCS502593 : A₀ = -1; A_K+1 = - A_K + K + 2 (score: 5)

3, 0, 6, 0, 12, 0, 24, 0, 48, 0, 96, 0, 192, 0, 384, 0, 768, 0, 1536, 0, 3072, 0, 6144, 0, 12288, 0, 24576, 0, 49152, 0, 98304, 0, 196608, 0, 393216, 0, 786432, 0, 1572864, 0, 3145728, 0, 6291456, ...

MCS213634 : A₀ = 0; A₁ = 3; A_N = 2 A_N-2 (score: 5)

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

3, 0, 6, 0, 24, 0, 144, 0, 1152, 0, 11520, 0, 138240, 0, 1935360, 0, 30965760, 0, 557383680, 0, 11147673600, 0, 245248819200, 0, ...

MCS106514 : A₀ = 0; A₁ = 3; A_K+1 = K A_K-1 (score: 5)

3, 0, 9, 0, 27, 0, 81, 0, 243, 0, 729, 0, 2187, 0, 6561, 0, 19683, 0, 59049, 0, 177147, 0, 531441, 0, 1594323, 0, 4782969, 0, 14348907, 0, 43046721, 0, 129140163, 0, 387420489, 0, 1162261467, 0, ...

MCS835 (alias MCS1711126) : A₀ = 0; A₁ = 1; A_N = 3 A_N-2 (score: 4)

Horadam sequence W_n(0, 1; 3, 0) ; Horadam sequence W_n(1, 0; 3, 0)

3, 0, 15, 0, 105, 0, 945, 0, 10395, 0, 135135, 0, 2027025, 0, 34459425, 0, 654729075, 0, 13749310575, 0, 316234143225, 0, ...

MCS13344 (alias MCS13360, MCS852118, MCS855078)

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

Odd semifactorials

3, 0, 21, 0, 231, 0, 3465, 0, 65835, 0, 1514205, 0, 40883535, 0, 1267389585, 0, 44358635475, 0, ...

MCS53442 : A₀ = 0; A₁ = 1; A_K+1 = 2 K A_K-1 - A_K-1 (score: 5)

3, 1, 0, 3, 5, 3, 2, 5, 7, 5, 4, 7, 9, 7, 6, 9, 11, 9, 8, 11, 13, 11, 10, 13, 15, 13, 12, 15, 17, 15, 14, 17, 19, 17, 16, 19, 21, 19, 18, 21, 23, 21, 20, 23, 25, 23, 22, 25, 27, 25, 24, 27, 29, ...

MCS3478276 : A₀ = 1; A₁ = 3; A_K+1 = - A_K-1 + K + 1 (score: 5)

3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, ...

MCS1573926 : A₀ = 1; A₁ = 1; A₂ = 3; A_N = A_N-3 (score: 4)

3, 1, 1, 5, 7, 5, 5, 9, 11, 9, 9, 13, 15, 13, 13, 17, 19, 17, 17, 21, 23, 21, 21, 25, 27, 25, 25, 29, 31, 29, 29, 33, 35, 33, 33, 37, 39, 37, 37, 41, 43, 41, 41, 45, 47, 45, 45, 49, 51, 49, 49, ...

MCS1714948 : A₀ = 1; A₁ = 3; A_K+1 = - A_K-1 + 2 K (score: 5)

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

MCS6358566 : A₀ = 1; A₁ = 1; A₂ = 3; A_K+1 = - A_K-2 + K (score: 5)

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

MCS102416 : A₀ = 0; A₁ = 1; A₂ = 3; A_N = A_N-3 + 1 (score: 5)

3, 1, 2, 5, 16, 65, 326, 1957, 13700, 109601, 986410, 9864101, 108505112, 1302061345, 16926797486, 236975164805, ...

MCS124995 : A₀ = 3; A_K+1 = K A_K + 1 (score: 5)

3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, ...

MCS213508 (alias MCS251744) : A₀ = 1; A₁ = 3; A_N = A_N-2 (score: 3)

A simple periodic sequence (A010684)

Horadam sequence W_n(1, 3; 1, 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, 26, 29, ...

MCS3958 (alias MCS434434) : A₀ = 0; A_K+1 = - A_K + K + 3 (score: 5)

3, 1, 4, 3, 7, 7, 12, 13, 19, 21, 28, 31, 39, 43, 52, 57, 67, 73, 84, 91, 103, 111, 124, 133, 147, 157, 172, 183, 199, 211, 228, 241, 259, 273, 292, 307, 327, 343, 364, 381, 403, 421, 444, 463, ...

MCS3510788 : A₀ = 1; A₁ = 3; A_K+1 = A_K-1 + K - 1 (score: 5)

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, 25265, 33469, 44337, 58734, 77806, ...

MCS98832 : A₀ = 0; A₁ = 1; A₂ = 3; A_N = A_N-2 + A_N-3 (score: 5)

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, 4194305, ...

MCS1754372 : A₀ = 1; A₁ = 3; A_N = 2 A_N-2 - 1 (score: 5)

3, 1, 5, 4, 9, 9, 15, 16, 23, 25, 33, 36, 45, 49, 59, 64, 75, 81, 93, 100, 113, 121, 135, 144, 159, 169, 185, 196, 213, 225, 243, 256, 275, 289, 309, 324, 345, 361, 383, 400, 423, 441, 465, 484, ...

MCS428290 : A₀ = 0; A₁ = 3; A_K+1 = A_K-1 + K (score: 5)

3, 1, 6, 3, 24, 15, 144, 105, 1152, 945, 11520, 10395, 138240, 135135, 1935360, 2027025, 30965760, 34459425, 557383680, 654729075, 11147673600, 13749310575, 245248819200, 316234143225, ...

MCS213028 : A₀ = 1; A₁ = 3; A_K+1 = K A_K-1 (score: 4)

3, 1, 7, 3, 15, 7, 31, 15, 63, 31, 127, 63, 255, 127, 511, 255, 1023, 511, 2047, 1023, 4095, 2047, 8191, 4095, 16383, 8191, 32767, 16383, 65535, 32767, 131071, 65535, 262143, 131071, 524287, ...

MCS6951958 : A₀ = 1; A₁ = 0; A_N = 2 A_N-2 + 1 (score: 5)

3, 1, 15, 9, 106, 87, 963, 976, 10680, 12675, 139816, 188130, 2109915, 3149896, 36056685, 58808043, 688226911, 1212217545, 14511573174, 27357012901, 334978400547, 671079882798, ...

MCS393505 : A₀ = 0; A₁ = 0; A₂ = 1; A_K+1 = K A_K-1 + A_K-2 (score: 5)

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

MCS3441 : A₀ = 0; A₁ = 1; A_N = - A_N-2 + 3 (score: 5)

3, 2, 1, 1, 3, 14, 81, 553, 4343, 38534, 380997, 4152433, 49448199, 638674154, 8891989957, 132741175201, ...

MCS855300 : A₀ = 1; A₁ = 3; A_K+1 = K A_K - A_K-1 (score: 5)

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

MCS6295732 : A₀ = 1; A₁ = 3; A₂ = 2; A_N = A_N-3 (score: 5)

3, 2, 1, 3, 5, 4, 3, 5, 7, 6, 5, 7, 9, 8, 7, 9, 11, 10, 9, 11, 13, 12, 11, 13, 15, 14, 13, 15, 17, 16, 15, 17, 19, 18, 17, 19, 21, 20, 19, 21, 23, 22, 21, 23, 25, 24, 23, 25, 27, 26, 25, 27, 29, ...

MCS856837 : A₀ = 0; A₁ = -1; A_K+1 = - A_K-1 + K (score: 4)

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

MCS99352 : A₀ = 0; A₁ = 1; A₂ = 3; A_K+1 = - A_K-2 + K (score: 5)

3, 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, ...

MCS504963 : A₀ = 3; A_K+1 = A_K + K - 1 (score: 5)

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, 19, 19, 21, ...

MCS6554662 : A₀ = 1; A₁ = 1; A₂ = 3; A_N = A_N-3 + 1 (score: 5)

3, 2, 2, 6, 4, 4, 12, 8, 8, 24, 16, 16, 48, 32, 32, 96, 64, 64, 192, 128, 128, 384, 256, 256, 768, 512, 512, 1536, 1024, 1024, 3072, 2048, 2048, 6144, 4096, 4096, 12288, 8192, 8192, 24576, 16384, ...

MCS3148326 : A₀ = 1; A₁ = 1; A₂ = 3; A_N = 2 A_N-3 (score: 5)

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

MCS3416155 : A₀ = 3; A₁ = 2; A_N = A_N-2 (score: 5)

Horadam sequence W_n(3, 2; 1, 0)

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, 27, 29, ...

MCS868868 : A₀ = 1; A₁ = 3; A_N = A_N-2 + 1 (score: 4)

3, 2, 4, 5, 6, 9, 11, 15, 20, 26, 35, 46, 61, 81, 107, 142, 188, 249, 330, 437, 579, 767, 1016, 1346, 1783, 2362, 3129, 4145, 5491, 7274, 9636, 12765, 16910, 22401, 29675, 39311, 52076, 68986, ...

MCS6325286 : A₀ = 1; A₁ = 1; A₂ = 3; A_N = A_N-2 + A_N-3 (score: 5)

3, 2, 4, 7, 7, 10, 14, 15, 19, 24, 26, 31, 37, 40, 46, 53, 57, 64, 72, 77, 85, 94, 100, 109, 119, 126, 136, 147, 155, 166, 178, 187, 199, 212, 222, 235, 249, 260, 274, 289, 301, 316, 332, 345, ...

MCS99344 : A₀ = 0; A₁ = 1; A₂ = 3; A_K+1 = A_K-2 + K (score: 5)

3, 2, 5, 4, 7, 6, 9, 8, 11, 10, 13, 12, 15, 14, 17, 16, 19, 18, 21, 20, 23, 22, 25, 24, 27, 26, 29, 28, 31, 30, 33, 32, 35, 34, 37, 36, 39, 38, 41, 40, 43, 42, 45, 44, 47, 46, 49, 48, 51, 50, 53, ...

MCS250704 (alias MCS6981654) : A₀ = 1; A_K+1 = - A_K + 2 K + 1 (score: 4)

3, 2, 5, 5, 9, 10, 15, 17, 23, 26, 33, 37, 45, 50, 59, 65, 75, 82, 93, 101, 113, 122, 135, 145, 159, 170, 185, 197, 213, 226, 243, 257, 275, 290, 309, 325, 345, 362, 383, 401, 423, 442, 465, 485, ...

MCS856580 : A₀ = 1; A₁ = 3; A_K+1 = A_K-1 + K (score: 4)

3, 2, 6, 4, 12, 8, 24, 16, 48, 32, 96, 64, 192, 128, 384, 256, 768, 512, 1536, 1024, 3072, 2048, 6144, 4096, 12288, 8192, 24576, 16384, 49152, 32768, 98304, 65536, 196608, 131072, 393216, 262144, ...

MCS427268 : A₀ = 1; A₁ = 3; A_N = 2 A_N-2 (score: 4)

Horadam sequence W_n(1, 3; 2, 0)

3, 2, 7, 7, 29, 36, 175, 253, 1401, 2278, 14011, 25059, 168133, 325768, 2353863, 4886521, 37661809, 83070858, 677912563, 1578346303, 13558251261, 33145272364, 298281527743, 762341264373, ...

MCS868388 : A₀ = 1; A₁ = 3; A_K+1 = K A_K-1 + 1 (score: 5)

3, 2, 7, 11, 23, 36, 59, 85, 123, 166, 223, 287, 367, 456, 563, 681, 819, 970, 1143, 1331, 1543, 1772, 2027, 2301, 2603, 2926, 3279, 3655, 4063, 4496, 4963, 5457, 5987, 6546, 7143, 7771, 8439, ...

MCS854148 : A₀ = 1; A₁ = 3; A_K+1 = A_K-1 + K² (score: 5)

3, 2, 8, 9, 36, 50, 222, 357, 1784, 3222, 17850, 35453, 214212, 460902, 2998982, 6913545, 47983728, 117530282, 863707122, 2233075377, 17274142460, 46894582938, 380031134142, ...

MCS856100 : A₀ = 1; A₁ = 3; A_K+1 = K A_K-1 + K (score: 5)

3, 2, 9, 8, 23, 22, 53, 52, 115, 114, 241, 240, 495, 494, 1005, 1004, 2027, 2026, 4073, 4072, 8167, 8166, 16357, 16356, 32739, 32738, 65505, 65504, 131039, 131038, 262109, 262108, 524251, 524250, ...

MCS13714 (alias MCS6853654) : A₀ = 0; A₁ = 1; A_K+1 = 2 A_K-1 + K - 1 (score: 5)

3, 2, 9, 8, 45, 48, 315, 384, 2835, 3840, 31185, 46080, 405405, 645120, 6081075, 10321920, 103378275, 185794560, 1964187225, 3715891200, 41247931725, 81749606400, 948702429675, ...

MCS854052 : A₀ = 1; A₁ = 3; A_K+1 = K A_K-1 + A_K-1 (score: 5)

3, 2, 12, 12, 96, 120, 1152, 1680, 18432, 30240, 368640, 665280, 8847360, 17297280, 247726080, 518918400, 7927234560, 17643225600, 285380444160, 670442572800, ...

MCS426068 : A₀ = 1; A₁ = 3; A_K+1 = 2 K A_K-1 (score: 5)

3, 2, 15, 14, 95, 104, 767, 944, 7679, 10394, 92159, 135134, 1290239, 2027024, 20643839, 34459424, 371589119, 654729074, 7431782399, 13749310574, 163499212799, 316234143224, ...

MCS54848 : A₀ = 0; A₁ = 1; A_K+1 = K A_K-1 + K - 1 (score: 5)

3, 2, 19, 32, 183, 470, 2299, 7468, 35055, 132138, 622907, 2604976, 12571487, 56856078, 283142843, 1363408324, 7026265183, 35657839986, 190235674011, ...

MCS54912 : A₀ = 0; A₁ = 1; A_K+1 = A_K + K A_K-1 - 1 (score: 5)

3, 3, 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, ...

MCS124003 : A₀ = 3; A_K+1 = - K A_K + A_K (score: 5)

3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, ...

MCS440513 : A₀ = 0; A₁ = 0; A_N = - A_N-2 + 3 (score: 5)

3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, ...

MCS786970 : A₀ = 0; A₁ = 3; A₂ = 3; A_N = A_N-3 (score: 5)

3, 3, 0, 9, 9, 0, 27, 27, 0, 81, 81, 0, 243, 243, 0, 729, 729, 0, 2187, 2187, 0, 6561, 6561, 0, 19683, 19683, 0, 59049, 59049, 0, 177147, 177147, 0, 531441, 531441, 0, 1594323, 1594323, 0, ...

MCS98417 : A₀ = 0; A₁ = 1; A₂ = 1; A_N = 3 A_N-3 (score: 5)

3, 3, 1, 0, 1, 4, 6, 6, 4, 3, 4, 7, 9, 9, 7, 6, 7, 10, 12, 12, 10, 9, 10, 13, 15, 15, 13, 12, 13, 16, 18, 18, 16, 15, 16, 19, 21, 21, 19, 18, 19, 22, 24, 24, 22, 21, 22, 25, 27, 27, 25, 24, 25, ...

MCS6358580 : A₀ = 1; A₁ = 3; A₂ = 3; A_K+1 = - A_K-2 + K (score: 5)

3, 3, 1, 2, 5, 5, 3, 4, 7, 7, 5, 6, 9, 9, 7, 8, 11, 11, 9, 10, 13, 13, 11, 12, 15, 15, 13, 14, 17, 17, 15, 16, 19, 19, 17, 18, 21, 21, 19, 20, 23, 23, 21, 22, 25, 25, 23, 24, 27, 27, 25, 26, 29, ...

MCS1739137 : A₀ = -1; A₁ = 0; A_K+1 = - A_K-1 + K + 1 (score: 5)

3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, ...

MCS1573940 : A₀ = 1; A₁ = 3; A₂ = 3; A_N = A_N-3 (score: 4)

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

MCS3445508 : A₀ = 1; A₁ = 3; A_K+1 = A_K - A_K-1 + K (score: 5)

3, 3, 2, 3, 5, 5, 4, 5, 7, 7, 6, 7, 9, 9, 8, 9, 11, 11, 10, 11, 13, 13, 12, 13, 15, 15, 14, 15, 17, 17, 16, 17, 19, 19, 18, 19, 21, 21, 20, 21, 23, 23, 22, 23, 25, 25, 24, 25, 27, 27, 26, 27, 29, ...

MCS856838 (alias MCS13641, MCS13913110) : A₀ = 1; A₁ = 1; A_K+1 = - A_K-1 + K (score: 3)

A staggering increasing sequence

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, 20, 19, ...

MCS6554676 : A₀ = 1; A₁ = 3; A₂ = 3; A_N = A_N-3 + 1 (score: 5)

3, 3, 2, 5, 5, 4, 7, 7, 6, 9, 9, 8, 11, 11, 10, 13, 13, 12, 15, 15, 14, 17, 17, 16, 19, 19, 18, 21, 21, 20, 23, 23, 22, 25, 25, 24, 27, 27, 26, 29, 29, 28, 31, 31, 30, 33, 33, 32, 35, 35, 34, 37, ...

MCS6925062 : A₀ = 1; A₁ = 1; A_K+1 = - A_K - A_K-1 + 2 K (score: 5)

3, 3, 2, 6, 6, 4, 12, 12, 8, 24, 24, 16, 48, 48, 32, 96, 96, 64, 192, 192, 128, 384, 384, 256, 768, 768, 512, 1536, 1536, 1024, 3072, 3072, 2048, 6144, 6144, 4096, 12288, 12288, 8192, 24576, ...

MCS3148340 : A₀ = 1; A₁ = 3; A₂ = 3; A_N = 2 A_N-3 (score: 5)

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

MCS794817 : A₀ = -1; A₁ = 0; A₂ = 1; A_K+1 = - A_K-2 + K (score: 5)

3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, ...

MCS443 (alias MCS30979, MCS854043, MCS6295771)

A_N = 3 (score: 3)

Constant sequence (A010701)

Horadam sequence W_n(3, 3; 0, 1) ; Horadam sequence W_n(3, 3; 1, 0)

3, 3, 3, 5, 5, 5, 7, 7, 7, 9, 9, 9, 11, 11, 11, 13, 13, 13, 15, 15, 15, 17, 17, 17, 19, 19, 19, 21, 21, 21, 23, 23, 23, 25, 25, 25, 27, 27, 27, 29, 29, 29, 31, 31, 31, 33, 33, 33, 35, 35, 35, 37, ...

MCS13239350 : A₀ = 1; A₁ = 1; A₂ = 1; A_N = A_N-3 + 2 (score: 5)

3, 3, 3, 6, 7, 8, 12, 14, 16, 21, 24, 27, 33, 37, 41, 48, 53, 58, 66, 72, 78, 87, 94, 101, 111, 119, 127, 138, 147, 156, 168, 178, 188, 201, 212, 223, 237, 249, 261, 276, 289, 302, 318, 332, 346, ...

MCS6358068 : A₀ = 1; A₁ = 3; A₂ = 3; A_K+1 = A_K-2 + K (score: 5)

3, 3, 3, 6, 9, 24, 45, 144, 315, 1152, 2835, 11520, 31185, 138240, 405405, 1935360, 6081075, 30965760, 103378275, 557383680, 1964187225, 11147673600, 41247931725, 245248819200, 948702429675, ...

MCS852123 : A₀ = 3; A₁ = 3; A_K+1 = K A_K-1 (score: 5)

3, 3, 3, 7, 7, 7, 15, 15, 15, 31, 31, 31, 63, 63, 63, 127, 127, 127, 255, 255, 255, 511, 511, 511, 1023, 1023, 1023, 2047, 2047, 2047, 4095, 4095, 4095, 8191, 8191, 8191, 16383, 16383, 16383, ...

MCS409681 (alias MCS819361, MCS3277453, MCS13109814)

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

3, 3, 3, 7, 27, 127, 715, 4759, 36651, 320351, 3130219, 33791719, 399240203, 5122539215, 70917068619, ...

MCS55651588 : A₀ = 1; A₁ = 3; A_K+1 = K A_K - 2 A_K-1 + K + 1 (score: 8)

Simplest continuation of 3, 7, 27, 127

3, 3, 3, 9, 9, 9, 27, 27, 27, 81, 81, 81, 243, 243, 243, 729, 729, 729, 2187, 2187, 2187, 6561, 6561, 6561, 19683, 19683, 19683, 59049, 59049, 59049, 177147, 177147, 177147, 531441, 531441, ...

MCS3149366 : A₀ = 1; A₁ = 1; A₂ = 1; A_N = 3 A_N-3 (score: 5)

3, 3, 3, 12, 39, 120, 372, 1155, 3585, 11127, 34536, 107193, 332706, 1032654, 3205155, 9948171, 30877167, 95836656, 297458139, 923251584, 2865591408, 8894232363, 27605948673, 85683437427, ...

MCS52170971 : A₀ = 3; A₁ = 3; A₂ = 3; A_N = 3 A_N-1 + A_N-3 (score: 8)

Not (3^N-3)/2 (see MCS1979)

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

MCS3179289 : A₀ = -1; A₁ = 0; A₂ = 0; A_K+1 = - A_K-2 + K (score: 5)

3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, 3, 4, 3, ...

MCS1573915 : A₀ = 3; A₁ = 3; A₂ = 4; A_N = A_N-3 (score: 5)

3, 3, 4, 3, 4, 4, 6, 6, 7, 6, 7, 7, 9, 9, 10, 9, 10, 10, 12, 12, 13, 12, 13, 13, 15, 15, 16, 15, 16, 16, 18, 18, 19, 18, 19, 19, 21, 21, 22, 21, 22, 22, 24, 24, 25, 24, 25, 25, 27, 27, 28, 27, 28, ...

MCS821297 (alias MCS6358550) : A₀ = 0; A₁ = 1; A₂ = 1; A_K+1 = - A_K-2 + K + 1 (score: 5)

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, 28, ...

MCS3475483 : A₀ = 3; A₁ = 3; A_N = A_N-2 + 1 (score: 5)

3, 3, 4, 5, 7, 9, 12, 15, 19, 23, 28, 33, 39, 45, 52, 59, 67, 75, 84, 93, 103, 113, 124, 135, 147, 159, 172, 185, 199, 213, 228, 243, 259, 275, 292, 309, 327, 345, 364, 383, 403, 423, 444, 465, ...

MCS3426331 : A₀ = 3; A₁ = 3; A_K+1 = A_K-1 + K (score: 5)

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, 79238, ...

MCS6325300 : A₀ = 1; A₁ = 3; A₂ = 3; A_N = A_N-2 + A_N-3 (score: 5)

3, 3, 4, 6, 9, 13, 18, 24, 31, 39, 48, 58, 69, 81, 94, 108, 123, 139, 156, 174, 193, 213, 234, 256, 279, 303, 328, 354, 381, 409, 438, 468, 499, 531, 564, 598, 633, 669, 706, 744, 783, 823, 864, ...

MCS124035 : A₀ = 3; A_K+1 = A_K + K (score: 4)

3, 3, 4, 7, 8, 10, 14, 16, 19, 24, 27, 31, 37, 41, 46, 53, 58, 64, 72, 78, 85, 94, 101, 109, 119, 127, 136, 147, 156, 166, 178, 188, 199, 212, 223, 235, 249, 261, 274, 289, 302, 316, 332, 346, ...

MCS6358054 : A₀ = 1; A₁ = 1; A₂ = 3; A_K+1 = A_K-2 + K (score: 5)

3, 3, 4, 7, 10, 14, 21, 31, 45, 66, 97, 142, 208, 305, 447, 655, 960, 1407, 2062, 3022, 4429, 6491, 9513, 13942, 20433, 29946, 43888, 64321, 94267, 138155, 202476, 296743, 434898, 637374, 934117, ...

MCS100368 (alias MCS6423604) : A₀ = 0; A₁ = 1; A₂ = 3; A_N = A_N-1 + A_N-3 (score: 5)

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