Munafo's Classical Sequences

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3, 3, 4, 8, 9, 11, 16, 18, 21, 27, 30, 34, 41, 45, 50, 58, 63, 69, 78, 84, 91, 101, 108, 116, 127, 135, 144, 156, 165, 175, 188, 198, 209, 223, 234, 246, 261, 273, 286, 302, 315, 329, 346, 360, ...

MCS25432278 : A₀ = 1; A₁ = 0; A₂ = 0; A_K+1 = A_K-2 + K (score: 5)

3, 3, 4, 8, 17, 33, 58, 94, 143, 207, 288, 388, 509, 653, 822, 1018, 1243, 1499, 1788, 2112, 2473, 2873, 3314, 3798, 4327, 4903, 5528, 6204, 6933, 7717, 8558, 9458, 10419, 11443, 12532, 13688, ...

MCS123939 : A₀ = 3; A_K+1 = A_K + K² (score: 5)

3, 3, 5, 5, 7, 7, 9, 9, 11, 11, 13, 13, 15, 15, 17, 17, 19, 19, 21, 21, 23, 23, 25, 25, 27, 27, 29, 29, 31, 31, 33, 33, 35, 35, 37, 37, 39, 39, 41, 41, 43, 43, 45, 45, 47, 47, 49, 49, 51, 51, 53, ...

MCS124577 (alias MCS502608, MCS1745412, MCS1745414, MCS3490829)

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

3, 3, 5, 7, 9, 13, 17, 23, 31, 41, 55, 73, 97, 129, 171, 227, 301, 399, 529, 701, 929, 1231, 1631, 2161, 2863, 3793, 5025, 6657, 8819, 11683, 15477, 20503, 27161, 35981, 47665, 63143, 83647, ...

MCS26248246 : A₀ = 1; A₁ = 1; A₂ = 1; A_N = A_N-2 + A_N-3 + 1 (score: 5)

3, 3, 5, 7, 11, 17, 27, 43, 69, 111, 179, 289, 467, 755, 1221, 1975, 3195, 5169, 8363, 13531, 21893, 35423, 57315, 92737, 150051, 242787, 392837, 635623, 1028459, 1664081, 2692539, 4356619, ...

MCS3514884 : A₀ = 1; A₁ = 3; A_N = A_N-1 + A_N-2 - 1 (score: 5)

3, 3, 5, 8, 9, 12, 16, 18, 22, 27, 30, 35, 41, 45, 51, 58, 63, 70, 78, 84, 92, 101, 108, 117, 127, 135, 145, 156, 165, 176, 188, 198, 210, 223, 234, 247, 261, 273, 287, 302, 315, 330, 346, 360, ...

MCS6358038 : A₀ = 1; A₁ = 0; A₂ = 1; A_K+1 = A_K-2 + K (score: 5)

3, 3, 5, 9, 11, 19, 29, 41, 67, 99, 149, 233, 347, 531, 813, 1225, 1875, 2851, 4325, 6601, 10027, 15251, 23229, 35305, 53731, 81763, 124341, 189225, 287867, 437907, 666317, 1013641, 1542131, ...

MCS395345 (alias MCS12651062) : A₀ = 0; A₁ = 1; A₂ = 1; A_N = A_N-2 + 2 A_N-3 (score: 5)

3, 3, 5, 9, 15, 23, 33, 45, 59, 75, 93, 113, 135, 159, 185, 213, 243, 275, 309, 345, 383, 423, 465, 509, 555, 603, 653, 705, 759, 815, 873, 933, 995, 1059, 1125, 1193, 1263, 1335, 1409, 1485, ...

MCS248131 : A₀ = 3; A_K+1 = A_K + 2 K (score: 5)

3, 3, 6, 6, 9, 9, 12, 12, 15, 15, 18, 18, 21, 21, 24, 24, 27, 27, 30, 30, 33, 33, 36, 36, 39, 39, 42, 42, 45, 45, 48, 48, 51, 51, 54, 54, 57, 57, 60, 60, 63, 63, 66, 66, 69, 69, 72, 72, 75, 75, ...

MCS1947 (alias MCS440449) : A₀ = 0; A_K+1 = - A_K + 3 K (score: 4)

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

MCS1709083 : A₀ = 3; A₁ = 3; A_N = 2 A_N-2 (score: 5)

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

3, 3, 6, 7, 11, 13, 18, 21, 27, 31, 38, 43, 51, 57, 66, 73, 83, 91, 102, 111, 123, 133, 146, 157, 171, 183, 198, 211, 227, 241, 258, 273, 291, 307, 326, 343, 363, 381, 402, 421, 443, 463, 486, ...

MCS3478020 : A₀ = 1; A₁ = 3; A_K+1 = A_K-1 + K + 1 (score: 5)

3, 3, 6, 9, 15, 24, 39, 63, 102, 165, 267, 432, 699, 1131, 1830, 2961, 4791, 7752, 12543, 20295, 32838, 53133, 85971, 139104, 225075, 364179, 589254, 953433, 1542687, 2496120, 4038807, 6534927, ...

MCS430338 (alias MCS3442715) : A₀ = 0; A₁ = 3; A_N = A_N-1 + A_N-2 (score: 5)

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

3, 3, 6, 18, 72, 360, 2160, 15120, 120960, 1088640, 10886400, 119750400, 1437004800, 18681062400, 261534873600, ...

MCS123971 : A₀ = 3; A_K+1 = K A_K + A_K (score: 5)

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

MCS3394 (alias MCS434497, MCS1737988, MCS1737990)

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

3, 3, 7, 8, 13, 15, 21, 24, 31, 35, 43, 48, 57, 63, 73, 80, 91, 99, 111, 120, 133, 143, 157, 168, 183, 195, 211, 224, 241, 255, 273, 288, 307, 323, 343, 360, 381, 399, 421, 440, 463, 483, 507, ...

MCS1713161 (alias MCS13912086) : A₀ = -1; A₁ = 1; A_K+1 = A_K-1 + K (score: 5)

3, 3, 7, 9, 15, 19, 27, 33, 43, 51, 63, 73, 87, 99, 115, 129, 147, 163, 183, 201, 223, 243, 267, 289, 315, 339, 367, 393, 423, 451, 483, 513, 547, 579, 615, 649, 687, 723, 763, 801, 843, 883, 927, ...

MCS1714692 : A₀ = 1; A₁ = 3; A_K+1 = A_K-1 + 2 K (score: 5)

3, 3, 7, 9, 17, 25, 43, 67, 111, 177, 289, 465, 755, 1219, 1975, 3193, 5169, 8361, 13531, 21891, 35423, 57313, 92737, 150049, 242787, 392835, 635623, 1028457, 1664081, 2692537, 4356619, 7049155, ...

MCS12665910 : A₀ = 1; A₁ = 1; A₂ = 1; A_N = 2 A_N-2 + A_N-3 (score: 5)

3, 3, 8, 9, 20, 23, 46, 53, 100, 115, 210, 241, 432, 495, 878, 1005, 1772, 2027, 3562, 4073, 7144, 8167, 14310, 16357, 28644, 32739, 57314, 65505, 114656, 131039, 229342, 262109, 458716, 524251, ...

MCS1713412 : A₀ = 1; A₁ = 3; A_K+1 = 2 A_K-1 + K (score: 5)

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

MCS427782 (alias MCS427780) : A₀ = 1; A₁ = 1; A_N = 3 A_N-2 (score: 4)

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

3, 4, 0, 3, 4, 0, 3, 4, 0, 3, 4, 0, 3, 4, 0, 3, 4, 0, 3, 4, 0, 3, 4, 0, 3, 4, 0, 3, 4, 0, 3, 4, 0, 3, 4, 0, 3, 4, 0, 3, 4, 0, 3, 4, 0, 3, 4, 0, 3, 4, 0, 3, 4, 0, 3, 4, 0, 3, 4, 0, 3, 4, 0, 3, ...

MCS196738 : A₀ = 0; A₁ = 3; A₂ = 4; A_N = A_N-3 (score: 5)

3, 4, 1, 0, 0, 4, 6, 7, 4, 3, 3, 7, 9, 10, 7, 6, 6, 10, 12, 13, 10, 9, 9, 13, 15, 16, 13, 12, 12, 16, 18, 19, 16, 15, 15, 19, 21, 22, 19, 18, 18, 22, 24, 25, 22, 21, 21, 25, 27, 28, 25, 24, 24, ...

MCS1589636 : A₀ = 1; A₁ = 3; A₂ = 4; A_K+1 = - A_K-2 + K (score: 5)

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

MCS6956557 : A₀ = -1; A₁ = -1; A_K+1 = - A_K-1 + K + 1 (score: 5)

3, 4, 1, 3, 4, 1, 3, 4, 1, 3, 4, 1, 3, 4, 1, 3, 4, 1, 3, 4, 1, 3, 4, 1, 3, 4, 1, 3, 4, 1, 3, 4, 1, 3, 4, 1, 3, 4, 1, 3, 4, 1, 3, 4, 1, 3, 4, 1, 3, 4, 1, 3, 4, 1, 3, 4, 1, 3, 4, 1, 3, 4, 1, 3, ...

MCS393476 : A₀ = 1; A₁ = 3; A₂ = 4; A_N = A_N-3 (score: 4)

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

MCS1746113 : A₀ = 0; A₁ = 0; A_K+1 = - A_K-1 + K + 2 (score: 5)

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

MCS1638660 : A₀ = 1; A₁ = 3; A₂ = 4; A_N = A_N-3 + 1 (score: 5)

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

MCS787076 : A₀ = 1; A₁ = 3; A₂ = 4; A_N = 2 A_N-3 (score: 5)

3, 4, 3, 1, 0, 1, 3, 4, 3, 1, 0, 1, 3, 4, 3, 1, 0, 1, 3, 4, 3, 1, 0, 1, 3, 4, 3, 1, 0, 1, 3, 4, 3, 1, 0, 1, 3, 4, 3, 1, 0, 1, 3, 4, 3, 1, 0, 1, 3, 4, 3, 1, 0, 1, 3, 4, 3, 1, 0, 1, 3, 4, 3, 1, ...

MCS13649 : A₀ = 0; A₁ = 1; A_N = A_N-1 - A_N-2 + 2 (score: 5)

2(1+sin((1+2N)π/6)) (A131027)

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

MCS213507 : A₀ = 3; A₁ = 4; A_N = A_N-2 (score: 4)

Horadam sequence W_n(3, 4; 1, 0)

3, 4, 3, 4, 7, 8, 7, 8, 11, 12, 11, 12, 15, 16, 15, 16, 19, 20, 19, 20, 23, 24, 23, 24, 27, 28, 27, 28, 31, 32, 31, 32, 35, 36, 35, 36, 39, 40, 39, 40, 43, 44, 43, 44, 47, 48, 47, 48, 51, 52, 51, ...

MCS857473 : A₀ = -1; A₁ = 0; A_K+1 = - A_K-1 + 2 K (score: 5)

3, 4, 3, 6, 8, 8, 12, 15, 16, 21, 25, 27, 33, 38, 41, 48, 54, 58, 66, 73, 78, 87, 95, 101, 111, 120, 127, 138, 148, 156, 168, 179, 188, 201, 213, 223, 237, 250, 261, 276, 290, 302, 318, 333, 346, ...

MCS1589508 : A₀ = 1; A₁ = 3; A₂ = 4; A_K+1 = A_K-2 + K (score: 5)

3, 4, 3, 8, 9, 32, 45, 192, 315, 1536, 2835, 15360, 31185, 184320, 405405, 2580480, 6081075, 41287680, 103378275, 743178240, 1964187225, 14863564800, 41247931725, 326998425600, 948702429675, ...

MCS213027 : A₀ = 3; A₁ = 4; A_K+1 = K A_K-1 (score: 5)

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

MCS3179277 : A₀ = -1; A₁ = -1; A₂ = 0; A_K+1 = - A_K-2 + K (score: 5)

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

MCS1642593 (alias MCS25434326) : A₀ = 0; A₁ = 0; A₂ = 1; A_K+1 = - A_K-2 + K + 1 (score: 5)

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

MCS1573939 : A₀ = 3; A₁ = 4; A₂ = 4; A_N = A_N-3 (score: 5)

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, 29, ...

MCS868867 : A₀ = 3; A₁ = 4; A_N = A_N-2 + 1 (score: 5)

3, 4, 4, 5, 7, 8, 8, 9, 11, 12, 12, 13, 15, 16, 16, 17, 19, 20, 20, 21, 23, 24, 24, 25, 27, 28, 28, 29, 31, 32, 32, 33, 35, 36, 36, 37, 39, 40, 40, 41, 43, 44, 44, 45, 47, 48, 48, 49, 51, 52, 52, ...

MCS13589 (alias MCS1755841) : A₀ = 0; A₁ = 1; A_K+1 = - A_K-1 + 2 K + 1 (score: 5)

3, 4, 4, 6, 7, 10, 12, 16, 19, 24, 28, 34, 39, 46, 52, 60, 67, 76, 84, 94, 103, 114, 124, 136, 147, 160, 172, 186, 199, 214, 228, 244, 259, 276, 292, 310, 327, 346, 364, 384, 403, 424, 444, 466, ...

MCS856579 : A₀ = 3; A₁ = 4; A_K+1 = A_K-1 + K (score: 5)

3, 4, 4, 7, 8, 11, 15, 19, 26, 34, 45, 60, 79, 105, 139, 184, 244, 323, 428, 567, 751, 995, 1318, 1746, 2313, 3064, 4059, 5377, 7123, 9436, 12500, 16559, 21936, 29059, 38495, 50995, 67554, 89490, ...

MCS1581316 : A₀ = 1; A₁ = 3; A₂ = 4; A_N = A_N-2 + A_N-3 (score: 5)

3, 4, 4, 8, 10, 11, 16, 19, 21, 27, 31, 34, 41, 46, 50, 58, 64, 69, 78, 85, 91, 101, 109, 116, 127, 136, 144, 156, 166, 175, 188, 199, 209, 223, 235, 246, 261, 274, 286, 302, 316, 329, 346, 361, ...

MCS25432246 : A₀ = 1; A₁ = 1; A₂ = 0; A_K+1 = A_K-2 + K (score: 5)

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

MCS12717165 : A₀ = -1; A₁ = -1; A₂ = -1; A_K+1 = - A_K-2 + K (score: 5)

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

MCS6570381 : A₀ = 0; A₁ = 0; A₂ = 0; A_K+1 = - A_K-2 + K + 1 (score: 5)

3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, ...

MCS393475 : A₀ = 3; A₁ = 4; A₂ = 5; A_N = A_N-3 (score: 5)

3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, ...

MCS1774 (alias MCS125187) : A_K = K + 3 (score: 4)

3, 4, 5, 8, 10, 12, 16, 19, 22, 27, 31, 35, 41, 46, 51, 58, 64, 70, 78, 85, 92, 101, 109, 117, 127, 136, 145, 156, 166, 176, 188, 199, 210, 223, 235, 247, 261, 274, 287, 302, 316, 330, 346, 361, ...

MCS6358070 (alias MCS837665) : A₀ = 1; A₁ = 1; A₂ = 1; A_K+1 = A_K-2 + K (score: 4)

3, 4, 5, 8, 12, 17, 25, 37, 54, 79, 116, 170, 249, 365, 535, 784, 1149, 1684, 2468, 3617, 5301, 7769, 11386, 16687, 24456, 35842, 52529, 76985, 112827, 165356, 242341, 355168, 520524, 762865, ...

MCS1605892 (alias MCS6423590) : A₀ = 1; A₁ = 3; A₂ = 4; A_N = A_N-1 + A_N-3 (score: 5)

3, 4, 5, 9, 11, 13, 18, 21, 24, 30, 34, 38, 45, 50, 55, 63, 69, 75, 84, 91, 98, 108, 116, 124, 135, 144, 153, 165, 175, 185, 198, 209, 220, 234, 246, 258, 273, 286, 299, 315, 329, 343, 360, 375, ...

MCS6570253 : A₀ = 0; A₁ = 0; A₂ = 0; A_K+1 = A_K-2 + K + 1 (score: 5)

3, 4, 6, 7, 9, 10, 12, 13, 15, 16, 18, 19, 21, 22, 24, 25, 27, 28, 30, 31, 33, 34, 36, 37, 39, 40, 42, 43, 45, 46, 48, 49, 51, 52, 54, 55, 57, 58, 60, 61, 63, 64, 66, 67, 69, 70, 72, 73, 75, 76, ...

MCS1720 (alias MCS7835) : A₀ = 0; A₁ = 1; A_N = A_N-2 + 3 (score: 5)

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

MCS427267 : A₀ = 3; A₁ = 4; A_N = 2 A_N-2 (score: 5)

Horadam sequence W_n(3, 4; 2, 0)

3, 4, 6, 9, 11, 14, 18, 21, 25, 30, 34, 39, 45, 50, 56, 63, 69, 76, 84, 91, 99, 108, 116, 125, 135, 144, 154, 165, 175, 186, 198, 209, 221, 234, 246, 259, 273, 286, 300, 315, 329, 344, 360, 375, ...

MCS1642561 (alias MCS3179033) : A₀ = 0; A₁ = 0; A₂ = 1; A_K+1 = A_K-2 + K + 1 (score: 5)

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, 906, ...

MCS500867 : A₀ = 3; A_K+1 = A_K + K + 1 (score: 5)

3, 4, 7, 9, 13, 16, 21, 25, 31, 36, 43, 49, 57, 64, 73, 81, 91, 100, 111, 121, 133, 144, 157, 169, 183, 196, 211, 225, 241, 256, 273, 289, 307, 324, 343, 361, 381, 400, 421, 441, 463, 484, 507, ...

MCS836 (alias MCS3478022, MCS13996550, MCS14043158)

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

N²/4, rounded up (A004652)

3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843, 1364, 2207, 3571, 5778, 9349, 15127, 24476, 39603, 64079, 103682, 167761, 271443, 439204, 710647, 1149851, 1860498, 3010349, 4870847, 7881196, ...

MCS860676 (alias MCS860675) : A₀ = 1; A₁ = 3; A_N = A_N-1 + A_N-2 (score: 4)

Lucas numbers (A000204)

Horadam sequence W_n(1, 3; 1, 1) ; Horadam sequence W_n(3, 4; 1, 1)

3, 4, 7, 12, 19, 28, 39, 52, 67, 84, 103, 124, 147, 172, 199, 228, 259, 292, 327, 364, 403, 444, 487, 532, 579, 628, 679, 732, 787, 844, 903, 964, 1027, 1092, 1159, 1228, 1299, 1372, 1447, 1524, ...

MCS3548 : A_K = K² + 3 (score: 5)

3, 4, 8, 10, 15, 18, 24, 28, 35, 40, 48, 54, 63, 70, 80, 88, 99, 108, 120, 130, 143, 154, 168, 180, 195, 208, 224, 238, 255, 270, 288, 304, 323, 340, 360, 378, 399, 418, 440, 460, 483, 504, 528, ...

MCS1746049 (alias MCS6852653) : A₀ = 0; A₁ = 0; A_K+1 = A_K-1 + K + 2 (score: 5)

3, 4, 9, 12, 19, 24, 33, 40, 51, 60, 73, 84, 99, 112, 129, 144, 163, 180, 201, 220, 243, 264, 289, 312, 339, 364, 393, 420, 451, 480, 513, 544, 579, 612, 649, 684, 723, 760, 801, 840, 883, 924, ...

MCS31340 (alias MCS501384, MCS6858774) : A₀ = 0; A_K+1 = - A_K + K² - K + 1 (score: 5)

3, 4, 9, 12, 23, 30, 53, 68, 115, 146, 241, 304, 495, 622, 1005, 1260, 2027, 2538, 4073, 5096, 8167, 10214, 16357, 20452, 32739, 40930, 65505, 81888, 131039, 163806, 262109, 327644, 524251, ...

MCS1713414 : A₀ = 1; A₁ = 1; A_K+1 = 2 A_K-1 + K (score: 4)

3, 4, 10, 22, 62, 172, 544, 1748, 6100, 21832, 82832, 322984, 1316968, 5515760, 23953312, 106689712, 489942704, 2303667808, 11122636480, 54892324832, 277345054432, ...

MCS860196 : A₀ = 1; A₁ = 3; A_K+1 = A_K + K A_K-1 (score: 5)

3, 4, 11, 18, 57, 110, 401, 882, 3611, 8822, 39723, 105866, 516401, 1482126, 7746017, 23714018, 131682291, 426852326, 2501963531, 8537046522, 52541234153, 187815023486, ...

MCS1744934 : A₀ = 1; A₁ = 1; A_K+1 = K A_K-1 + 2 (score: 5)

3, 4, 11, 37, 159, 832, 5151, 36889, 300263, 2739256, 27692823, 307360309, 3716016531, 48615575212, 684334069499, ...

MCS854276 : A₀ = 1; A₁ = 3; A_K+1 = K A_K + A_K-1 (score: 5)

3, 4, 13, 21, 79, 148, 633, 1333, 6331, 14664, 75973, 190633, 1063623, 2859496, 17017969, 48611433, 306323443, 923617228, 6126468861, 19395961789, 134782314943, 446107121148, ...

MCS13568 (alias MCS869129, MCS3475494) : A₀ = 0; A₁ = 1; A_K+1 = K A_K-1 + 1 (score: 4)

3, 4, 13, 23, 82, 174, 679, 1648, 6964, 18807, 85216, 251455, 1211831, 3857041, 19640751, 66781528, 357390559, 1288489783, 7214592708, 27415676002, 160009529359, 637775140754, ...

MCS6296118 : A₀ = 1; A₁ = 1; A₂ = 1; A_K+1 = K A_K-1 + A_K-2 (score: 5)

3, 4, 15, 24, 105, 192, 945, 1920, 10395, 23040, 135135, 322560, 2027025, 5160960, 34459425, 92897280, 654729075, 1857945600, 13749310575, 40874803200, 316234143225, 980995276800, ...

MCS1709094 : A₀ = 1; A₁ = 1; A_K+1 = K A_K-1 + 2 A_K-1 (score: 5)

3, 4, 20, 30, 147, 248, 1332, 2490, 14663, 29892, 190632, 418502, 2859495, 6696048, 48611432, 120528882, 923617227, 2410577660, 19395961788, 53032708542, 446107121147, ...

MCS1712205 : A₀ = -1; A₁ = -1; A_K+1 = K A_K-1 + K (score: 5)

3, 5, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3, 5, 1, 3, ...

MCS1573924 : A₀ = 1; A₁ = 3; A₂ = 5; A_N = A_N-3 (score: 5)

3, 5, 3, 3, 7, 9, 7, 7, 11, 13, 11, 11, 15, 17, 15, 15, 19, 21, 19, 19, 23, 25, 23, 23, 27, 29, 27, 27, 31, 33, 31, 31, 35, 37, 35, 35, 39, 41, 39, 39, 43, 45, 43, 43, 47, 49, 47, 47, 51, 53, 51, ...

MCS3429901 : A₀ = -1; A₁ = -1; A_K+1 = - A_K-1 + 2 K (score: 5)

3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, ...

MCS854035 : A₀ = 3; A₁ = 5; A_N = A_N-2 (score: 5)

Horadam sequence W_n(3, 5; 1, 0)

3, 5, 4, 4, 7, 9, 8, 8, 11, 13, 12, 12, 15, 17, 16, 16, 19, 21, 20, 20, 23, 25, 24, 24, 27, 29, 28, 28, 31, 33, 32, 32, 35, 37, 36, 36, 39, 41, 40, 40, 43, 45, 44, 44, 47, 49, 48, 48, 51, 53, 52, ...

MCS1739457 : A₀ = 0; A₁ = 0; A_K+1 = - A_K-1 + 2 K + 1 (score: 5)

3, 5, 5, 5, 7, 9, 9, 9, 11, 13, 13, 13, 15, 17, 17, 17, 19, 21, 21, 21, 23, 25, 25, 25, 27, 29, 29, 29, 31, 33, 33, 33, 35, 37, 37, 37, 39, 41, 41, 41, 43, 45, 45, 45, 47, 49, 49, 49, 51, 53, 53, ...

MCS1714950 : A₀ = 1; A₁ = 1; A_K+1 = - A_K-1 + 2 K (score: 4)

3, 5, 6, 6, 6, 7, 9, 11, 12, 12, 12, 13, 15, 17, 18, 18, 18, 19, 21, 23, 24, 24, 24, 25, 27, 29, 30, 30, 30, 31, 33, 35, 36, 36, 36, 37, 39, 41, 42, 42, 42, 43, 45, 47, 48, 48, 48, 49, 51, 53, 54, ...

MCS861377 (alias MCS27209, MCS3515585) : A₀ = 0; A₁ = 0; A_K+1 = A_K - A_K-1 + K (score: 4)

3, 5, 6, 7, 9, 11, 12, 13, 15, 17, 18, 19, 21, 23, 24, 25, 27, 29, 30, 31, 33, 35, 36, 37, 39, 41, 42, 43, 45, 47, 48, 49, 51, 53, 54, 55, 57, 59, 60, 61, 63, 65, 66, 67, 69, 71, 72, 73, 75, 77, ...

MCS3357 : A₀ = 0; A₁ = 1; A_K+1 = - A_K-1 + 3 K (score: 5)

3, 5, 6, 9, 12, 14, 18, 22, 25, 30, 35, 39, 45, 51, 56, 63, 70, 76, 84, 92, 99, 108, 117, 125, 135, 145, 154, 165, 176, 186, 198, 210, 221, 234, 247, 259, 273, 287, 300, 315, 330, 344, 360, 376, ...

MCS794753 (alias MCS821281) : A₀ = -1; A₁ = 0; A₂ = 1; A_K+1 = A_K-2 + K (score: 5)

3, 5, 7, 7, 7, 7, 9, 11, 13, 13, 13, 13, 15, 17, 19, 19, 19, 19, 21, 23, 25, 25, 25, 25, 27, 29, 31, 31, 31, 31, 33, 35, 37, 37, 37, 37, 39, 41, 43, 43, 43, 43, 45, 47, 49, 49, 49, 49, 51, 53, 55, ...

MCS12748342 : A₀ = 1; A₁ = 1; A₂ = 1; A_K+1 = - A_K-2 + 2 K (score: 5)

3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, ...

MCS3538 (alias MCS3546, MCS7098, MCS62784, MCS125569, MCS251139, MCS1002160, MCS1725188)

A_K = 2 K + 1 (score: 3)

Odd numbers (A005408)

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

3, 5, 7, 11, 17, 25, 37, 55, 81, 119, 175, 257, 377, 553, 811, 1189, 1743, 2555, 3745, 5489, 8045, 11791, 17281, 25327, 37119, 54401, 79729, 116849, 171251, 250981, 367831, 539083, 790065, ...

MCS26346550 : A₀ = 1; A₁ = 1; A₂ = 1; A_N = A_N-1 + A_N-3 + 1 (score: 5)

3, 5, 7, 13, 23, 37, 63, 109, 183, 309, 527, 893, 1511, 2565, 4351, 7373, 12503, 21205, 35951, 60957, 103367, 175269, 297183, 503917, 854455, 1448821, 2456655, 4165565, 7063207, 11976517, ...

MCS401489 (alias MCS802977, MCS12847670) : A₀ = 0; A₁ = 1; A₂ = 1; A_N = A_N-1 + 2 A_N-3 (score: 5)

3, 5, 8, 11, 15, 19, 24, 29, 35, 41, 48, 55, 63, 71, 80, 89, 99, 109, 120, 131, 143, 155, 168, 181, 195, 209, 224, 239, 255, 271, 288, 305, 323, 341, 360, 379, 399, 419, 440, 461, 483, 505, 528, ...

MCS1713165 (alias MCS6820, MCS1739009) : A₀ = -1; A₁ = -1; A_K+1 = A_K-1 + K (score: 4)

3, 5, 8, 12, 16, 21, 27, 33, 40, 48, 56, 65, 75, 85, 96, 108, 120, 133, 147, 161, 176, 192, 208, 225, 243, 261, 280, 300, 320, 341, 363, 385, 408, 432, 456, 481, 507, 533, 560, 588, 616, 645, 675, ...

MCS865057 : A₀ = 0; A₁ = 0; A_K+1 = - A_K - A_K-1 + K² (score: 5)

3, 5, 8, 13, 19, 28, 40, 56, 78, 107, 146, 198, 267, 359, 481, 643, 858, 1143, 1521, 2022, 2686, 3566, 4732, 6277, 8324, 11036, 14629, 19389, 25695, 34049, 45116, 59777, 79199, 104928, 139012, ...

MCS795681 : A₀ = 0; A₁ = 1; A₂ = 1; A_K+1 = A_K-1 + A_K-2 + K (score: 5)

3, 5, 9, 13, 19, 25, 33, 41, 51, 61, 73, 85, 99, 113, 129, 145, 163, 181, 201, 221, 243, 265, 289, 313, 339, 365, 393, 421, 451, 481, 513, 545, 579, 613, 649, 685, 723, 761, 801, 841, 883, 925, ...

MCS1714694 : A₀ = 1; A₁ = 1; A_K+1 = A_K-1 + 2 K (score: 4)

3, 5, 9, 15, 25, 41, 67, 109, 177, 287, 465, 753, 1219, 1973, 3193, 5167, 8361, 13529, 21891, 35421, 57313, 92735, 150049, 242785, 392835, 635621, 1028457, 1664079, 2692537, 4356617, 7049155, ...

MCS3482118 (alias MCS3482116) : A₀ = 1; A₁ = 1; A_N = A_N-1 + A_N-2 + 1 (score: 4)

3, 5, 9, 17, 31, 57, 105, 193, 355, 653, 1201, 2209, 4063, 7473, 13745, 25281, 46499, 85525, 157305, 289329, 532159, 978793, 1800281, 3311233, 6090307, 11201821, 20603361, 37895489, 69700671, ...

MCS25723958 : A₀ = 1; A₁ = 1; A₂ = 1; A_N = A_N-1 + A_N-2 + A_N-3 (score: 5)

3, 5, 9, 17, 33, 65, 129, 257, 513, 1025, 2049, 4097, 8193, 16385, 32769, 65537, 131073, 262145, 524289, 1048577, 2097153, 4194305, 8388609, 16777217, 33554433, 67108865, 134217729, 268435457, ...

MCS252547 : A₀ = 3; A_N = 2 A_N-1 - 1 (score: 5)

3, 5, 10, 14, 21, 27, 36, 44, 55, 65, 78, 90, 105, 119, 136, 152, 171, 189, 210, 230, 253, 275, 300, 324, 351, 377, 406, 434, 465, 495, 528, 560, 595, 629, 666, 702, 741, 779, 820, 860, 903, 945, ...

MCS15572 (alias MCS252689, MCS1739393) : A₀ = 0; A_K+1 = - A_K + K² + 2 K (score: 5)

3, 5, 10, 18, 32, 55, 93, 155, 256, 420, 686, 1117, 1815, 2945, 4774, 7734, 12524, 20275, 32817, 53111, 85948, 139080, 225050, 364153, 589227, 953405, 1542658, 2496090, 4038776, 6534895, 10573701, ...

MCS3445252 : A₀ = 1; A₁ = 3; A_K+1 = A_K + A_K-1 + K (score: 5)

3, 5, 11, 21, 43, 85, 171, 341, 683, 1365, 2731, 5461, 10923, 21845, 43691, 87381, 174763, 349525, 699051, 1398101, 2796203, 5592405, 11184811, 22369621, 44739243, 89478485, 178956971, 357913941, ...

MCS3362 (alias MCS1721604, MCS1721606) : A₀ = 0; A₁ = 1; A_N = A_N-1 + 2 A_N-2 (score: 4)

Jacobsthal sequence (A001045)

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

3, 5, 13, 25, 71, 157, 505, 1265, 4555, 12661, 50117, 151945, 651535, 2127245, 9773041, 34035937, 166141715, 612646885, 3156692605, 12252937721, 66290544727, 269564629885, ...

MCS53552 (alias MCS3427366, MCS3477542) : A₀ = 0; A₁ = 1; A_K+1 = K A_K-1 - A_K-1 + K (score: 5)

3, 5, 15, 29, 95, 209, 767, 1889, 7679, 20789, 92159, 270269, 1290239, 4054049, 20643839, 68918849, 371589119, 1309458149, 7431782399, 27498621149, 163499212799, 632468286449, ...

MCS3426342 (alias MCS3510310) : A₀ = 1; A₁ = 1; A_K+1 = K A_K-1 + A_K-1 + K (score: 5)

3, 5, 19, 41, 191, 493, 2675, 7889, 48151, 157781, 1059323, 3786745, 27542399, 106028861, 826271971, 3392923553, 28093247015, 122145247909, ...

MCS1736790 : A₀ = 1; A₁ = 1; A_K+1 = 2 K A_K-1 + 1 (score: 5)

3, 5, 21, 45, 231, 585, 3465, 9945, 65835, 208845, 1514205, 5221125, 40883535, 151412625, 1267389585, 4996616625, 44358635475, 184874815125, ...

MCS1708118 (alias MCS1710166) : A₀ = 1; A₁ = 1; A_K+1 = 2 K A_K-1 + A_K-1 (score: 5)

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