Minimally Complex Sequences  


First page . . . Back to page 24 . . . Forward to page 26 . . . Last page (page 30)


4, 5, 6, 13, 16, 19, 34, 41, 48, 79, 94, 109, 172, 203, 234, 361, 424, 487, 742, 869, 996, 1507, 1762, 2017, 3040, 3551, 4062, 6109, 7132, 8155, 12250, 14297, 16344, 24535, 28630, 32725, 49108, ...

MCS12716598 : A0 = 1; A1 = 1; A2 = 1; AK+1 = 2 AK-2 + K (score: 5)

4, 5, 7, 6, 7, 7, 10, 11, 13, 12, 13, 13, 16, 17, 19, 18, 19, 19, 22, 23, 25, 24, 25, 25, 28, 29, 31, 30, 31, 31, 34, 35, 37, 36, 37, 37, 40, 41, 43, 42, 43, 43, 46, 47, 49, 48, 49, 49, 52, 53, ...

MCS398385 : A0 = 0; A1 = 1; A2 = 1; AK+1 = - AK-2 + 2 K (score: 5)

4, 5, 9, 11, 16, 19, 25, 29, 36, 41, 49, 55, 64, 71, 81, 89, 100, 109, 121, 131, 144, 155, 169, 181, 196, 209, 225, 239, 256, 271, 289, 305, 324, 341, 361, 379, 400, 419, 441, 461, 484, 505, 529, ...

MCS856581 (alias MCS1755393, MCS6984198) : A0 = 0; A1 = -1; AK+1 = AK-1 + K (score: 4)

Interleaves N2 (A0290) with N2-N+1 (A28387)

4, 5, 9, 14, 20, 30, 42, 59, 82, 112, 153, 207, 279, 375, 502, 671, 895, 1192, 1586, 2108, 2800, 3717, 4932, 6542, 8675, 11501, 15245, 20205, 26776, 35481, 47013, 62290, 82528, 109338, 144854, ...

MCS25461814 : A0 = 1; A1 = 1; A2 = 1; AK+1 = AK-1 + AK-2 + K (score: 5)

4, 5, 9, 14, 23, 37, 60, 97, 157, 254, 411, 665, 1076, 1741, 2817, 4558, 7375, 11933, 19308, 31241, 50549, 81790, 132339, 214129, 346468, 560597, 907065, 1467662, 2374727, 3842389, 6217116, ...

MCS1721354 : A0 = 1; A1 = 4; AN = AN-1 + AN-2 (score: 5)

Horadam sequence Wn(1, 4; 1, 1)

4, 5, -1, -4, -5, 1, 4, 5, -1, -4, -5, 1, 4, 5, -1, -4, -5, 1, 4, 5, -1, -4, -5, 1, 4, 5, -1, -4, -5, 1, 4, 5, -1, -4, -5, 1, 4, 5, -1, -4, -5, 1, 4, 5, -1, -4, -5, 1, 4, 5, -1, -4, -5, 1, 4, 5, ...

MCS787210 : A0 = 1; A1 = 4; A2 = 5; AN = - AN-3 (score: 5)

4, 5, -4, -5, 4, 5, -4, -5, 4, 5, -4, -5, 4, 5, -4, -5, 4, 5, -4, -5, 4, 5, -4, -5, 4, 5, -4, -5, 4, 5, -4, -5, 4, 5, -4, -5, 4, 5, -4, -5, 4, 5, -4, -5, 4, 5, -4, -5, 4, 5, -4, -5, 4, 5, -4, -5, ...

MCS855051 : A0 = 4; A1 = 5; AN = - AN-2 (score: 5)

Horadam sequence Wn(4, 5; -1, 0)

4, 5, -6, -17, -20, 1, 22, 27, -16, -59, -70, 15, 100, 121, -50, -221, -264, 77, 418, 503, -180, -863, -1034, 331, 1696, 2037, -694, -3425, -4108, 1353, 6814, 8179, -2744, -13667, -16398, 5447, ...

MCS798897 : A0 = 0; A1 = 1; A2 = 1; AK+1 = - 2 AK-2 - K (score: 5)

4, 5, 11, 14, 22, 27, 37, 44, 56, 65, 79, 90, 106, 119, 137, 152, 172, 189, 211, 230, 254, 275, 301, 324, 352, 377, 407, 434, 466, 495, 529, 560, 596, 629, 667, 702, 742, 779, 821, 860, 904, 945, ...

MCS62225 : A0 = -1; AK+1 = - AK + K2 (score: 4)

4, 5, 12, 15, 30, 37, 68, 83, 146, 177, 304, 367, 622, 749, 1260, 1515, 2538, 3049, 5096, 6119, 10214, 12261, 20452, 24547, 40930, 49121, 81888, 98271, 163806, 196573, 327644, 393179, 655322, ...

MCS3346 (alias MCS6956294) : A0 = 0; A1 = 1; AK+1 = 2 AK-1 + K (score: 4)

4, 5, 15, 19, 50, 63, 157, 197, 480, 601, 1451, 1815, 4366, 5459, 13113, 16393, 39356, 49197, 118087, 147611, 354282, 442855, 1062869, 1328589, 3188632, 3985793, 9565923, 11957407, 28697798, ...

MCS1713926 : A0 = 1; A1 = 1; AK+1 = 3 AK-1 + K (score: 5)

4, 5, 21, 31, 148, 249, 1333, 2491, 14664, 29893, 190633, 418503, 2859496, 6696049, 48611433, 120528883, 923617228, 2410577661, 19395961789, 53032708543, 446107121148, ...

MCS217097 : A0 = 0; A1 = 0; AK+1 = K AK-1 + 1 (score: 4)

4, 5, 21, 31, 148, 249, 1333, 2491, 14664, 29893, 190633, 418503, 2859496, 6696049, 48611433, 120528883, 923617228, 2410577661, 19395961789, 53032708543, 446107121148, ...

MCS54304 : A0 = 0; A1 = 1; AK+1 = K AK-1 + AK-1 + 1 (score: 5)

4, 5, -14, -17, 20, 25, -50, -61, 88, 109, -190, -233, 364, 449, -746, -917, 1472, 1813, -2966, -3649, 5908, 7273, -11842, -14573, 23656, 29117, -47342, -58265, 94652, 116497, -189338, -233029, ...

MCS14052102 : A0 = 1; A1 = 1; AK+1 = - 2 AK-1 - K - 1 (score: 5)

4, 5, -18, -28, 152, 261, -1510, -2860, 18132, 37193, -253834, -557880, 4061360, 9483977, -73104462, -180195544, 1462089260, 3784106445, -32165963698, -87034448212, 771983128776, ...

MCS26753 : A0 = 0; A1 = 1; AK+1 = - K AK-1 + K (score: 4)

4, 6, 0, -5, 36, 84, -224, -675, 2340, 7546, -27936, -97929, 391300, 1469160, -6260544, -24975431, 112690116, 474533550, -2253801920, -9965204109, 49583642724, 229199695036, ...

MCS213133 : A0 = 0; A1 = 0; AK+1 = - K AK-1 + K2 (score: 5)

4, 6, 6, 5, 5, 7, 10, 12, 12, 11, 11, 13, 16, 18, 18, 17, 17, 19, 22, 24, 24, 23, 23, 25, 28, 30, 30, 29, 29, 31, 34, 36, 36, 35, 35, 37, 40, 42, 42, 41, 41, 43, 46, 48, 48, 47, 47, 49, 52, 54, ...

MCS6891021 : A0 = -1; A1 = -1; AK+1 = AK - AK-1 + K (score: 5)

4, 6, 6, 13, 17, 19, 28, 34, 38, 49, 57, 63, 76, 86, 94, 109, 121, 131, 148, 162, 174, 193, 209, 223, 244, 262, 278, 301, 321, 339, 364, 386, 406, 433, 457, 479, 508, 534, 558, 589, 617, 643, 676, ...

MCS3460230 : A0 = 1; A1 = 1; AK+1 = - AK - AK-1 + K2 (score: 5)

4, 6, 7, 6, 6, 7, 10, 12, 13, 12, 12, 13, 16, 18, 19, 18, 18, 19, 22, 24, 25, 24, 24, 25, 28, 30, 31, 30, 30, 31, 34, 36, 37, 36, 36, 37, 40, 42, 43, 42, 42, 43, 46, 48, 49, 48, 48, 49, 52, 54, ...

MCS796769 : A0 = 0; A1 = 0; A2 = 1; AK+1 = - AK-2 + 2 K (score: 5)

4, 6, 7, 7, 6, 4, 1, -3, -8, -14, -21, -29, -38, -48, -59, -71, -84, -98, -113, -129, -146, -164, -183, -203, -224, -246, -269, -293, -318, -344, -371, -399, -428, -458, -489, -521, -554, -588, ...

MCS253232 : A0 = 1; AK+1 = AK - K + 3 (score: 5)

4, 6, 8, 6, 6, 6, 10, 12, 14, 12, 12, 12, 16, 18, 20, 18, 18, 18, 22, 24, 26, 24, 24, 24, 28, 30, 32, 30, 30, 30, 34, 36, 38, 36, 36, 36, 40, 42, 44, 42, 42, 42, 46, 48, 50, 48, 48, 48, 52, 54, ...

MCS3187085 : A0 = 0; A1 = 0; A2 = 0; AK+1 = - AK-2 + 2 K (score: 5)

4, 6, 8, 14, 18, 22, 30, 36, 42, 52, 60, 68, 80, 90, 100, 114, 126, 138, 154, 168, 182, 200, 216, 232, 252, 270, 288, 310, 330, 350, 374, 396, 418, 444, 468, 492, 520, 546, 572, 602, 630, 658, ...

MCS3186957 : A0 = 0; A1 = 0; A2 = 0; AK+1 = AK-2 + 2 K (score: 5)

4, 6, 9, 14, 18, 23, 30, 36, 43, 52, 60, 69, 80, 90, 101, 114, 126, 139, 154, 168, 183, 200, 216, 233, 252, 270, 289, 310, 330, 351, 374, 396, 419, 444, 468, 493, 520, 546, 573, 602, 630, 659, ...

MCS796737 : A0 = 0; A1 = 0; A2 = 1; AK+1 = AK-2 + 2 K (score: 5)

4, 6, 11, 15, 22, 28, 37, 45, 56, 66, 79, 91, 106, 120, 137, 153, 172, 190, 211, 231, 254, 276, 301, 325, 352, 378, 407, 435, 466, 496, 529, 561, 596, 630, 667, 703, 742, 780, 821, 861, 904, 946, ...

MCS7832 (alias MCS6858, MCS6957574) : A0 = 0; AK+1 = - AK + K2 + 1 (score: 4)

4, 6, 14, 17, 33, 33, 64, 50, 114, 57, 201, 25, 372, -122, 750, -583, 1657, -1879, 3936, -5374, 9794, -14639, 25009, -39023, 64708, -103002, 168494, -270655, 440049, -709743, 1150816, -1859470, ...

MCS3459206 : A0 = 1; A1 = 1; AK+1 = - AK + AK-1 + K2 (score: 5)

4, 6, 14, 20, 38, 52, 90, 120, 198, 260, 418, 544, 862, 1116, 1754, 2264, 3542, 4564, 7122, 9168, 14286, 18380, 28618, 36808, 57286, 73668, 114626, 147392, 229310, 294844, 458682, 589752, 917430, ...

MCS3429638 : A0 = 1; A1 = 1; AK+1 = 2 AK-1 + 2 K (score: 5)

4, 6, 15, 21, 34, 44, 61, 75, 96, 114, 139, 161, 190, 216, 249, 279, 316, 350, 391, 429, 474, 516, 565, 611, 664, 714, 771, 825, 886, 944, 1009, 1071, 1140, 1206, 1279, 1349, 1426, 1500, 1581, ...

MCS249108 : A0 = 1; AK+1 = - AK + 2 K2 + K (score: 5)

4, 6, 20, 35, 126, 252, 1016, 2277, 10170, 25058, 122052, 325767, 1708742, 4886520, 27339888, 83070857, 492118002, 1578346302, 9842360060, 33145272363, 216531921342, 762341264372, ...

MCS13376 : A0 = 0; A1 = 1; AK+1 = K AK-1 + K (score: 4)

4, 6, -22, -38, 152, 302, -1370, -3022, 15068, 36262, -195886, -507670, 2938288, 8122718, -49950898, -146208926, 949067060, 2924178518, -19930408262, -64331927398, 458399390024, ...

MCS874509 : A0 = 0; A1 = 0; AK+1 = - K AK-1 - 2 (score: 5)

4, 7, 8, 11, 20, 27, 24, 27, 52, 67, 40, 35, 116, 155, 24, -21, 276, 403, -152, -365, 788, 1259, -1000, -1893, 2676, 4515, -4568, -8189, 10036, 17339, -19048, -33589, 39252, 68403, -77208, ...

MCS854817 : A0 = 0; A1 = 0; AK+1 = - 2 AK-1 + K2 (score: 5)

4, 7, 9, 14, 19, 23, 30, 37, 43, 52, 61, 69, 80, 91, 101, 114, 127, 139, 154, 169, 183, 200, 217, 233, 252, 271, 289, 310, 331, 351, 374, 397, 419, 444, 469, 493, 520, 547, 573, 602, 631, 659, ...

MCS398369 : A0 = 0; A1 = 1; A2 = 1; AK+1 = AK-2 + 2 K (score: 5)

4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 46, 49, 52, 55, 58, 61, 64, 67, 70, 73, 76, 79, 82, 85, 88, 91, 94, 97, 100, 103, 106, 109, 112, 115, 118, 121, 124, 127, 130, 133, 136, 139, ...

MCS3539 (alias MCS14171, MCS63296) : AK = 3 K + 1 (score: 4)

4, 7, 12, 17, 24, 31, 40, 49, 60, 71, 84, 97, 112, 127, 144, 161, 180, 199, 220, 241, 264, 287, 312, 337, 364, 391, 420, 449, 480, 511, 544, 577, 612, 647, 684, 721, 760, 799, 840, 881, 924, 967, ...

MCS31596 (alias MCS857345) : A0 = 0; AK+1 = - AK + K2 - K - 1 (score: 5)

4, 7, 13, 19, 28, 37, 49, 61, 76, 91, 109, 127, 148, 169, 193, 217, 244, 271, 301, 331, 364, 397, 433, 469, 508, 547, 589, 631, 676, 721, 769, 817, 868, 919, 973, 1027, 1084, 1141, 1201, 1261, ...

MCS1718790 : A0 = 1; A1 = 1; AK+1 = AK-1 + 3 K (score: 5)

4, 7, 13, 22, 37, 61, 100, 163, 265, 430, 697, 1129, 1828, 2959, 4789, 7750, 12541, 20293, 32836, 53131, 85969, 139102, 225073, 364177, 589252, 953431, 1542685, 2496118, 4038805, 6534925, ...

MCS6988294 : A0 = 1; A1 = 1; AN = AN-1 + AN-2 + 2 (score: 5)

4, 7, 14, 21, 36, 51, 82, 113, 176, 239, 366, 493, 748, 1003, 1514, 2025, 3048, 4071, 6118, 8165, 12260, 16355, 24546, 32737, 49120, 65503, 98270, 131037, 196572, 262107, 393178, 524249, 786392, ...

MCS3426829 : A0 = -1; A1 = -1; AK+1 = 2 AK-1 + K (score: 5)

4, 7, 16, 31, 64, 127, 256, 511, 1024, 2047, 4096, 8191, 16384, 32767, 65536, 131071, 262144, 524287, 1048576, 2097151, 4194304, 8388607, 16777216, 33554431, 67108864, 134217727, 268435456, ...

MCS6964486 : A0 = 1; A1 = 1; AN = AN-1 + 2 AN-2 + 1 (score: 5)

4, 7, 19, 40, 97, 217, 508, 1159, 2683, 6160, 14209, 32689, 75316, 173383, 399331, 919480, 2117473, 4875913, 11228332, 25856071, 59541067, 137109280, 315732481, 727060321, 1674257764, 3855438727, ...

MCS3363 (alias MCS1722118) : A0 = 0; A1 = 1; AN = AN-1 + 3 AN-2 (score: 5)

A6130

Horadam sequence Wn(0, 1; 3, 1), Lucas sequence Un(1, -3) ; Horadam sequence Wn(1, 1; 3, 1)

4, 8, 5, -7, -20, -18, 9, 47, 56, 0, -103, -159, -56, 206, 421, 271, -356, -1048, -963, 441, 2452, 2974, 81, -5345, -8400, -3136, 10609, 22145, 14672, -18082, -54899, -51489, 21492, 127880, ...

MCS804401 (alias MCS1608801) : A0 = 0; A1 = 1; A2 = 1; AN = AN-1 - AN-2 - AN-3 (score: 5)

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, ...

MCS3531 (alias MCS1966) : AK = 4 K (score: 4)

4, 8, 12, 17, 24, 32, 40, 49, 60, 72, 84, 97, 112, 128, 144, 161, 180, 200, 220, 241, 264, 288, 312, 337, 364, 392, 420, 449, 480, 512, 544, 577, 612, 648, 684, 721, 760, 800, 840, 881, 924, 968, ...

MCS213793 : A0 = 0; A1 = 0; AK+1 = - AK-1 + K2 (score: 4)

4, 8, 13, 19, 26, 34, 43, 53, 64, 76, 89, 103, 118, 134, 151, 169, 188, 208, 229, 251, 274, 298, 323, 349, 376, 404, 433, 463, 494, 526, 559, 593, 628, 664, 701, 739, 778, 818, 859, 901, 944, 988, ...

MCS252481 (alias MCS253216, MCS502337, MCS503072)

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

4, 8, 13, 22, 36, 56, 86, 131, 197, 294, 437, 647, 955, 1407, 2070, 3042, 4467, 6556, 9618, 14106, 20684, 30325, 44455, 65164, 95515, 139997, 205189, 300733, 440760, 645980, 946745, 1387538, ...

MCS25756726 : A0 = 1; A1 = 1; A2 = 1; AK+1 = AK + AK-2 + K (score: 5)

4, 8, 15, 21, 28, 34, 43, 53, 66, 78, 91, 103, 118, 134, 153, 171, 190, 208, 229, 251, 276, 300, 325, 349, 376, 404, 435, 465, 496, 526, 559, 593, 630, 666, 703, 739, 778, 818, 861, 903, 946, 988, ...

MCS196913 : A0 = 0; A1 = 1; A2 = 1; AK+1 = - AK-2 + K2 (score: 5)

4, 8, 16, 29, 51, 87, 146, 242, 398, 651, 1061, 1725, 2800, 4540, 7356, 11913, 19287, 31219, 50526, 81766, 132314, 214103, 346441, 560569, 907036, 1467632, 2374696, 3842357, 6217083, 10059471, ...

MCS13931014 : A0 = 1; A1 = 1; AK+1 = AK + AK-1 + K + 1 (score: 5)

4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608, 16777216, 33554432, 67108864, 134217728, 268435456, ...

MCS248331 : A0 = 4; AN = 2 AN-1 (score: 5)

4, 8, 19, 29, 46, 62, 85, 107, 136, 164, 199, 233, 274, 314, 361, 407, 460, 512, 571, 629, 694, 758, 829, 899, 976, 1052, 1135, 1217, 1306, 1394, 1489, 1583, 1684, 1784, 1891, 1997, 2110, 2222, ...

MCS62236 : A0 = 1; AK+1 = - AK + 3 K2 (score: 5)

4, 8, 19, 32, 54, 80, 117, 160, 216, 280, 359, 448, 554, 672, 809, 960, 1132, 1320, 1531, 1760, 2014, 2288, 2589, 2912, 3264, 3640, 4047, 4480, 4946, 5440, 5969, 6528, 7124, 7752, 8419, 9120, ...

MCS13704 : A0 = 0; A1 = 1; AK+1 = AK-1 + K2 - 1 (score: 5)

4, 8, 19, 39, 82, 166, 337, 677, 1360, 2724, 5455, 10915, 21838, 43682, 87373, 174753, 349516, 699040, 1398091, 2796191, 5592394, 11184798, 22369609, 44739229, 89478472, 178956956, 357913927, ...

MCS6890758 : A0 = 1; A1 = 1; AK+1 = AK + 2 AK-1 + K (score: 5)

4, 8, 28, 76, 272, 880, 3328, 12128, 48736, 194272, 827840, 3547648, 15965248, 72727616, 344136832, 1653233920, 8191833728, 41256512128, 213285020416, ...

MCS3440790 : A0 = 1; A1 = 0; AK+1 = AK + K AK-1 (score: 5)

4, 8, 28, 76, 272, 880, 3328, 12128, 48736, 194272, 827840, 3547648, 15965248, 72727616, 344136832, 1653233920, 8191833728, 41256512128, 213285020416, ...

MCS53792 : A0 = 0; A1 = 1; AK+1 = AK + K AK-1 + AK-1 (score: 5)

4, 9, 12, 16, 24, 33, 40, 48, 60, 73, 84, 96, 112, 129, 144, 160, 180, 201, 220, 240, 264, 289, 312, 336, 364, 393, 420, 448, 480, 513, 544, 576, 612, 649, 684, 720, 760, 801, 840, 880, 924, 969, ...

MCS3420694 : A0 = 1; A1 = 0; AK+1 = - AK-1 + K2 (score: 5)

4, 9, 13, 17, 24, 33, 41, 49, 60, 73, 85, 97, 112, 129, 145, 161, 180, 201, 221, 241, 264, 289, 313, 337, 364, 393, 421, 449, 480, 513, 545, 577, 612, 649, 685, 721, 760, 801, 841, 881, 924, 969, ...

MCS3476614 : A0 = 1; A1 = 1; AK+1 = - AK-1 + K2 + 1 (score: 5)

4, 9, 15, 21, 27, 34, 43, 54, 66, 78, 90, 103, 118, 135, 153, 171, 189, 208, 229, 252, 276, 300, 324, 349, 376, 405, 435, 465, 495, 526, 559, 594, 630, 666, 702, 739, 778, 819, 861, 903, 945, 988, ...

MCS393825 : A0 = 0; A1 = 0; A2 = 1; AK+1 = - AK-2 + K2 (score: 5)

4, 9, 15, 22, 30, 39, 49, 60, 72, 85, 99, 114, 130, 147, 165, 184, 204, 225, 247, 270, 294, 319, 345, 372, 400, 429, 459, 490, 522, 555, 589, 624, 660, 697, 735, 774, 814, 855, 897, 940, 984, ...

MCS15860 : A0 = 0; AK+1 = AK + K - 3 (score: 5)

4, 9, 16, 21, 27, 33, 43, 54, 67, 78, 90, 102, 118, 135, 154, 171, 189, 207, 229, 252, 277, 300, 324, 348, 376, 405, 436, 465, 495, 525, 559, 594, 631, 666, 702, 738, 778, 819, 862, 903, 945, 987, ...

MCS1575309 : A0 = 0; A1 = 0; A2 = 0; AK+1 = - AK-2 + K2 (score: 5)

4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441, 484, 529, 576, 625, 676, 729, 784, 841, 900, 961, 1024, 1089, 1156, 1225, 1296, 1369, 1444, 1521, 1600, ...

MCS440 (alias MCS7826, MCS14154, MCS28310, MCS252496)

AK = K2 (score: 2)

Perfect squares : N×N (A0290)

4, 9, 16, 29, 45, 65, 93, 126, 165, 214, 270, 334, 410, 495, 590, 699, 819, 951, 1099, 1260, 1435, 1628, 1836, 2060, 2304, 2565, 2844, 3145, 3465, 3805, 4169, 4554, 4961, 5394, 5850, 6330, 6838, ...

MCS1575181 : A0 = 0; A1 = 0; A2 = 0; AK+1 = AK-2 + K2 (score: 5)

4, 9, 17, 29, 45, 66, 93, 126, 166, 214, 270, 335, 410, 495, 591, 699, 819, 952, 1099, 1260, 1436, 1628, 1836, 2061, 2304, 2565, 2845, 3145, 3465, 3806, 4169, 4554, 4962, 5394, 5850, 6331, 6838, ...

MCS393793 : A0 = 0; A1 = 0; A2 = 1; AK+1 = AK-2 + K2 (score: 5)

4, 9, 18, 33, 58, 99, 166, 275, 452, 739, 1204, 1957, 3176, 5149, 8342, 13509, 21870, 35399, 57290, 92711, 150024, 242759, 392808, 635593, 1028428, 1664049, 2692506, 4356585, 7049122, 11405739, ...

MCS3445253 : A0 = 0; A1 = -1; AK+1 = AK + AK-1 + K (score: 5)

4, 9, 18, 35, 68, 133, 262, 519, 1032, 2057, 4106, 8203, 16396, 32781, 65550, 131087, 262160, 524305, 1048594, 2097171, 4194324, 8388629, 16777238, 33554455, 67108888, 134217753, 268435482, ...

MCS502448 : A0 = 1; AK+1 = 2 AK - K + 2 (score: 5)

4, 9, 19, 33, 54, 81, 117, 161, 216, 281, 359, 449, 554, 673, 809, 961, 1132, 1321, 1531, 1761, 2014, 2289, 2589, 2913, 3264, 3641, 4047, 4481, 4946, 5441, 5969, 6529, 7124, 7753, 8419, 9121, ...

MCS3508358 : A0 = 1; A1 = 1; AK+1 = AK-1 + K2 - 1 (score: 5)

4, 9, 19, 36, 65, 113, 192, 321, 531, 872, 1425, 2321, 3772, 6121, 9923, 16076, 26033, 42145, 68216, 110401, 178659, 289104, 467809, 756961, 1224820, 1981833, 3206707, 5188596, 8395361, 13584017, ...

MCS6892038 : A0 = 1; A1 = 1; AK+1 = AK + AK-1 + 2 K (score: 5)

4, 9, 20, 34, 56, 83, 120, 164, 220, 285, 364, 454, 560, 679, 816, 968, 1140, 1329, 1540, 1770, 2024, 2299, 2600, 2924, 3276, 3653, 4060, 4494, 4960, 5455, 5984, 6544, 7140, 7769, 8436, 9138, ...

MCS427073 : A0 = -1; A1 = 0; AK+1 = AK-1 + K2 (score: 5)

4, 9, -18, -29, 24, 45, -62, -105, 108, 193, -234, -405, 448, 789, -918, -1601, 1812, 3177, -3650, -6381, 7272, 12733, -14574, -25497, 29116, 50961, -58266, -101957, 116496, 203877, -233030, ...

MCS3513025 : A0 = 0; A1 = 0; AK+1 = - 2 AK-1 - K - 1 (score: 5)

4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, 4, -1, ...

MCS126657 : A0 = -1; AN = - AN-1 + 3 (score: 5)

4, -1, -1, -4, 1, 1, 4, -1, -1, -4, 1, 1, 4, -1, -1, -4, 1, 1, 4, -1, -1, -4, 1, 1, 4, -1, -1, -4, 1, 1, 4, -1, -1, -4, 1, 1, 4, -1, -1, -4, 1, 1, 4, -1, -1, -4, 1, 1, 4, -1, -1, -4, 1, 1, 4, -1, ...

MCS3148886 : A0 = 1; A1 = 1; A2 = 4; AN = - AN-3 (score: 5)

4, -1, -4, 1, 4, -1, -4, 1, 4, -1, -4, 1, 4, -1, -4, 1, 4, -1, -4, 1, 4, -1, -4, 1, 4, -1, -4, 1, 4, -1, -4, 1, 4, -1, -4, 1, 4, -1, -4, 1, 4, -1, -4, 1, 4, -1, -4, 1, 4, -1, -4, 1, 4, -1, -4, 1, ...

MCS427530 : A0 = 1; A1 = 4; AN = - AN-2 (score: 4)

Horadam sequence Wn(1, 4; -1, 0)

4, -1, -8, 3, 32, -15, -192, 105, 1536, -945, -15360, 10395, 184320, -135135, -2580480, 2027025, 41287680, -34459425, -743178240, 654729075, 14863564800, -13749310575, -326998425600, 316234143225, ...

MCS426090 : A0 = 1; A1 = 4; AK+1 = - K AK-1 (score: 5)

4, -1, 13, -10, 42, -55, 147, -248, 552, -1037, 2153, -4214, 8534, -16947, 34031, -67908, 135988, -271785, 543781, -1087330, 2174914, -4349551, 8699403, -17398480, 34797312, -69594245, 139188897, ...

MCS13522 : A0 = 0; A1 = 1; AK+1 = - AK + 2 AK-1 + K (score: 5)

4, -1, 21, -21, 153, -293, 1525, -4153, 19413, -65085, 298053, -1144145, 5316901, -22479061, 107549493, -489693513, 2425584405, -11729761133, 60241449253, -306566433025, ...

MCS54080 : A0 = 0; A1 = 1; AK+1 = - AK + K AK-1 + K (score: 5)

4, -2, -5, 1, 4, -2, -5, 1, 4, -2, -5, 1, 4, -2, -5, 1, 4, -2, -5, 1, 4, -2, -5, 1, 4, -2, -5, 1, 4, -2, -5, 1, 4, -2, -5, 1, 4, -2, -5, 1, 4, -2, -5, 1, 4, -2, -5, 1, 4, -2, -5, 1, 4, -2, -5, 1, ...

MCS1754634 : A0 = 1; A1 = 4; AN = - AN-2 - 1 (score: 5)

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

MCS1717770 : A0 = 1; A1 = 4; AK+1 = - AK-1 - K (score: 5)

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

MCS1709578 : A0 = 1; A1 = 4; AN = - 2 AN-2 (score: 5)

Horadam sequence Wn(1, 4; -2, 0)

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, ...

MCS501259 : A0 = 4; AN = - AN-1 + 1 (score: 5)

4, -3, 7, -10, 17, -27, 44, -71, 115, -186, 301, -487, 788, -1275, 2063, -3338, 5401, -8739, 14140, -22879, 37019, -59898, 96917, -156815, 253732, -410547, 664279, -1074826, 1739105, -2813931, ...

MCS1729546 : A0 = 1; A1 = 4; AN = - AN-1 + AN-2 (score: 5)

Horadam sequence Wn(1, 4; 1, -1)

4, -3, -6, 11, 0, -23, 22, 23, -68, 21, 114, -157, -72, 385, -242, -529, 1012, 45, -2070, 1979, 2160, -6119, 1798, 10439, -14036, -6843, 34914, -21229, -48600, 91057, 6142, -188257, 175972, ...

MCS27493 (alias MCS3519169) : A0 = 0; A1 = 1; AN = - AN-1 - 2 AN-2 - 1 (score: 5)

4, -3, 16, -15, 56, -75, 200, -335, 752, -1403, 2928, -5711, 11592, -22987, 46200, -92143, 184576, -368827, 738016, -1475631, 2951704, -5902923, 11806376, -23612175, 47224976, -94449275, ...

MCS501128 : A0 = 1; AK+1 = - 2 AK + K2 + 1 (score: 5)

4, -3, 21, -17, 148, -135, 1333, -1349, 14664, -16187, 190633, -226617, 2859496, -3625871, 48611433, -65265677, 923617228, -1305313539, 19395961789, -28716897857, 446107121148, -689205548567, ...

MCS868389 : A0 = 0; A1 = -1; AK+1 = K AK-1 + 1 (score: 5)

4, -3, 24, -41, 210, -537, 2428, -7797, 34506, -128069, 576648, -2369613, 11019334, -48933141, 236261820, -1117058357, 5606032938, -27947200077, 145673891776, -760512293469, ...

MCS871433 : A0 = 0; A1 = 0; AK+1 = - AK + K AK-1 + 1 (score: 5)

4, -3, -14, -1, 20, -7, -50, 3, 88, -19, -190, 23, 364, -63, -746, 107, 1472, -235, -2966, 447, 5908, -919, -11842, 1811, 23656, -3651, -47342, 7271, 94652, -14575, -189338, 29115, 378640, -58267, ...

MCS6709 : A0 = 0; A1 = 1; AK+1 = - 2 AK-1 - K (score: 4)

4, -3, -16, 15, 96, -105, -768, 945, 7680, -10395, -92160, 135135, 1290240, -2027025, -20643840, 34459425, 371589120, -654729075, -7431782400, 13749310575, 163499212800, -316234143225, ...

MCS1704365 : A0 = -1; A1 = -2; AK+1 = - K AK-1 (score: 5)

4, -3, -16, 35, 78, -357, -344, 3915, -130, -46849, 48540, 607347, -1335446, -8382105, 31084688, 119793203, -710402274, -1685461785, 16603909540, 20476249731, -402366169150, -89063824393, ...

MCS3485750 : A0 = 1; A1 = 1; AK+1 = - AK - K AK-1 + 1 (score: 5)

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

MCS498443 : A0 = 4; AK+1 = - AK - K (score: 5)

4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, ...

MCS124427 : A0 = 4; AN = - AN-1 (score: 4)

4, -4, 5, -3, 6, -2, 7, -1, 8, 0, 9, 1, 10, 2, 11, 3, 12, 4, 13, 5, 14, 6, 15, 7, 16, 8, 17, 9, 18, 10, 19, 11, 20, 12, 21, 13, 22, 14, 23, 15, 24, 16, 25, 17, 26, 18, 27, 19, 28, 20, 29, 21, 30, ...

MCS498187 : A0 = 4; AK+1 = - AK + K (score: 5)

4, -4, -7, 12, 10, -31, -8, 72, -15, -152, 102, 289, -356, -476, 1001, 596, -2478, -191, 5552, -2096, -11295, 9744, 20494, -30783, -31244, 82060, 31705, -195364, 18650, 422433, -232664, -826216, ...

MCS1584193 : A0 = 0; A1 = 0; A2 = 1; AN = - 2 AN-2 + AN-3 (score: 5)

4, -4, 17, -32, 88, -200, 497, -1184, 2876, -6924, 16737, -40384, 97520, -235408, 568353, -1372096, 3312564, -7997204, 19306993, -46611168, 112529352, -271669848, 655869073, -1583407968, ...

MCS3454081 : A0 = 0; A1 = 0; AK+1 = - 2 AK + AK-1 + K (score: 5)

4, -5, 1, 4, -5, 1, 4, -5, 1, 4, -5, 1, 4, -5, 1, 4, -5, 1, 4, -5, 1, 4, -5, 1, 4, -5, 1, 4, -5, 1, 4, -5, 1, 4, -5, 1, 4, -5, 1, 4, -5, 1, 4, -5, 1, 4, -5, 1, 4, -5, 1, 4, -5, 1, 4, -5, 1, 4, -5, ...

MCS1730058 : A0 = 1; A1 = 4; AN = - AN-1 - AN-2 (score: 5)

Horadam sequence Wn(1, 4; -1, -1)

4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, 4, -5, ...

MCS505355 : A0 = 4; AN = - AN-1 - 1 (score: 5)

4, -5, 7, -8, 10, -11, 13, -14, 16, -17, 19, -20, 22, -23, 25, -26, 28, -29, 31, -32, 34, -35, 37, -38, 40, -41, 43, -44, 46, -47, 49, -50, 52, -53, 55, -56, 58, -59, 61, -62, 64, -65, 67, -68, ...

MCS13939462 : A0 = 1; A1 = 1; AN = - 2 AN-1 - AN-2 + 1 (score: 5)

4, -5, 7, -11, 16, -23, 34, -50, 73, -107, 157, -230, 337, -494, 724, -1061, 1555, -2279, 3340, -4895, 7174, -10514, 15409, -22583, 33097, -48506, 71089, -104186, 152692, -223781, 327967, -480659, ...

MCS6489654 : A0 = 1; A1 = 1; A2 = 1; AN = - AN-1 - AN-3 (score: 4)

4, -5, -2, 13, -8, -17, 34, 1, -68, 67, 70, -203, 64, 343, -470, -215, 1156, -725, -1586, 3037, 136, -6209, 5938, 6481, -18356, 5395, 31318, -42107, -20528, 104743, -63686, -145799, 273172, 18427, ...

MCS13945606 : A0 = 1; A1 = 1; AN = - AN-1 - 2 AN-2 + 1 (score: 5)

4, -5, 14, -23, 52, -97, 202, -395, 800, -1589, 3190, -6367, 12748, -25481, 50978, -101939, 203896, -407773, 815566, -1631111, 3262244, -6524465, 13048954, -26097883, 52195792, -104391557, ...

MCS501152 : A0 = 1; AK+1 = - 2 AK + K + 1 (score: 4)

4, -5, -30, 28, 232, -261, -2330, 2860, 27948, -37193, -391286, 557880, 6260560, -9483977, -112690098, 180195544, 2253801940, -3784106445, -49583642702, 87034448212, ...

MCS214541 : A0 = 0; A1 = 0; AK+1 = - K AK-1 - K (score: 4)

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, ...

MCS27481 : A0 = 0; A1 = 1; AN = - 2 AN-1 - AN-2 - 1 (score: 5)

4, -6, 8, -13, 18, -27, 39, -58, 84, -124, 181, -266, 389, -571, 836, -1226, 1796, -2633, 3858, -5655, 8287, -12146, 17800, -26088, 38233, -56034, 82121, -120355, 176388, -258510, 378864, -555253, ...

MCS1683553 : A0 = 0; A1 = 0; A2 = 1; AN = - AN-1 - AN-3 - 1 (score: 5)

4, -6, 14, -26, 54, -106, 214, -426, 854, -1706, 3414, -6826, 13654, -27306, 54614, -109226, 218454, -436906, 873814, -1747626, 3495254, -6990506, 13981014, -27962026, 55924054, -111848106, ...

MCS502465 : A0 = -1; AN = - 2 AN-1 + 2 (score: 5)

4, -6, 16, -68, 376, -2496, 19216, -167952, 1641088, -17716064, 209310592, -2685605568, 37179856768, -552326640384, ...

MCS3419526 : A0 = 1; A1 = 1; AK+1 = - K AK - 2 AK-1 (score: 5)

4, -6, 18, -24, 68, -106, 254, -452, 976, -1862, 3834, -7536, 15228, -30274, 60758, -121276, 242824, -485342, 971026, -1941672, 3883764, -7767066, 15534638, -31068724, 62138048, -124275446, ...

MCS497352 : A0 = 1; AK+1 = - 2 AK + K2 - K (score: 5)

4, -6, -20, -2, 24, -14, -68, 6, 112, -38, -252, 46, 472, -126, -980, 214, 1920, -470, -3884, 894, 7720, -1838, -15492, 3622, 30928, -7302, -61916, 14542, 123768, -29150, -247604, 58230, 495136, ...

MCS26805 : A0 = 0; A1 = 1; AK+1 = - 2 AK-1 - 2 K (score: 5)

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, ...

MCS6918189 : A0 = -1; A1 = -2; AN = - AN-1 + AN-2 (score: 5)

Horadam sequence Wn(-1, -2; 1, -1)

4, -7, 12, -20, 33, -54, 88, -143, 232, -376, 609, -986, 1596, -2583, 4180, -6764, 10945, -17710, 28656, -46367, 75024, -121392, 196417, -317810, 514228, -832039, 1346268, -2178308, 3524577, ...

MCS1617985 : A0 = 0; A1 = 0; A2 = 1; AN = - 2 AN-1 + AN-3 (score: 5)

4, -7, 13, -24, 44, -81, 149, -274, 504, -927, 1705, -3136, 5768, -10609, 19513, -35890, 66012, -121415, 223317, -410744, 755476, -1389537, 2555757, -4700770, 8646064, -15902591, 29249425, ...

MCS812081 : A0 = 0; A1 = 1; A2 = 1; AN = - AN-1 + AN-2 - AN-3 (score: 5)

4, -7, 19, -40, 97, -217, 508, -1159, 2683, -6160, 14209, -32689, 75316, -173383, 399331, -919480, 2117473, -4875913, 11228332, -25856071, 59541067, -137109280, 315732481, -727060321, 1674257764, ...

MCS3379 : A0 = 0; A1 = 1; AN = - AN-1 + 3 AN-2 (score: 5)

A182228

Horadam sequence Wn(0, 1; 3, -1), Lucas sequence Un(-1, -3)

4, -7, -18, 3, 24, -19, -62, 23, 108, -63, -234, 107, 448, -235, -918, 447, 1812, -919, -3650, 1811, 7272, -3651, -14574, 7271, 29116, -14575, -58266, 29115, 116496, -58267, -233030, 116495, ...

MCS858817 (alias MCS3480257) : A0 = 0; A1 = 0; AK+1 = - 2 AK-1 - K (score: 4)

4, -8, 16, -32, 64, -128, 256, -512, 1024, -2048, 4096, -8192, 16384, -32768, 65536, -131072, 262144, -524288, 1048576, -2097152, 4194304, -8388608, 16777216, -33554432, 67108864, -134217728, ...

MCS31072 (alias MCS497163) : A0 = 1; AN = - 2 AN-1 (score: 2)

4, -8, 21, -49, 120, -288, 697, -1681, 4060, -9800, 23661, -57121, 137904, -332928, 803761, -1940449, 4684660, -11309768, 27304197, -65918161, 159140520, -384199200, 927538921, -2239277041, ...

MCS13612 (alias MCS3484801) : A0 = 0; A1 = 1; AN = - 2 AN-1 + AN-2 + 1 (score: 5)

4, -8, 28, -76, 272, -880, 3328, -12128, 48736, -194272, 827840, -3547648, 15965248, -72727616, 344136832, -1653233920, 8191833728, -41256512128, 213285020416, ...

MCS3457174 : A0 = 1; A1 = 0; AK+1 = - AK + K AK-1 (score: 5)

4, -8, 28, -76, 272, -880, 3328, -12128, 48736, -194272, 827840, -3547648, 15965248, -72727616, 344136832, -1653233920, 8191833728, -41256512128, 213285020416, ...

MCS54048 : A0 = 0; A1 = 1; AK+1 = - AK + K AK-1 + AK-1 (score: 5)

4, -8, 38, -182, 1102, -7702, 61630, -554654, 5546558, -61012118, 732145438, -9517890670, 133250469406, ...

MCS249176 : A0 = 1; AK+1 = - K AK - AK + 2 K (score: 5)

4, -9, 12, -22, 33, -56, 88, -145, 232, -378, 609, -988, 1596, -2585, 4180, -6766, 10945, -17712, 28656, -46369, 75024, -121394, 196417, -317812, 514228, -832041, 1346268, -2178310, 3524577, ...

MCS879745 (alias MCS1759489, MCS3518981, MCS14075926)

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

4, -9, 20, -44, 97, -214, 472, -1041, 2296, -5064, 11169, -24634, 54332, -119833, 264300, -582932, 1285697, -2835694, 6254320, -13794337, 30424368, -67103056, 148000449, -326425266, 719953588, ...

MCS1618017 : A0 = 0; A1 = 0; A2 = 1; AN = - 2 AN-1 - AN-3 (score: 5)

4, 10, 17, 29, 46, 66, 93, 127, 166, 214, 271, 335, 410, 496, 591, 699, 820, 952, 1099, 1261, 1436, 1628, 1837, 2061, 2304, 2566, 2845, 3145, 3466, 3806, 4169, 4555, 4962, 5394, 5851, 6331, 6838, ...

MCS196897 : A0 = 0; A1 = 1; A2 = 1; AK+1 = AK-2 + K2 (score: 5)

4, 10, 18, 28, 40, 54, 70, 88, 108, 130, 154, 180, 208, 238, 270, 304, 340, 378, 418, 460, 504, 550, 598, 648, 700, 754, 810, 868, 928, 990, 1054, 1120, 1188, 1258, 1330, 1404, 1480, 1558, 1638, ...

MCS3534 (alias MCS14142, MCS28340, MCS28342, MCS31442)

AK = K2 + 3 K (score: 5)

4, 10, 19, 31, 46, 64, 85, 109, 136, 166, 199, 235, 274, 316, 361, 409, 460, 514, 571, 631, 694, 760, 829, 901, 976, 1054, 1135, 1219, 1306, 1396, 1489, 1585, 1684, 1786, 1891, 1999, 2110, 2224, ...

MCS62064 : A0 = 1; AK+1 = AK + 3 K (score: 4)

4, 10, 20, 35, 56, 84, 120, 165, 220, 286, 364, 455, 560, 680, 816, 969, 1140, 1330, 1540, 1771, 2024, 2300, 2600, 2925, 3276, 3654, 4060, 4495, 4960, 5456, 5984, 6545, 7140, 7770, 8436, 9139, ...

MCS213537 (alias MCS1725633) : A0 = 0; A1 = 0; AK+1 = AK-1 + K2 (score: 4)

Tetrahedral numbers (A0292)


First page . . . Back to page 24 . . . Forward to page 26 . . . Last page (page 30)



Quick Index:
    Sequences Beginning 2,0,...
    Sequences Beginning 2,1,...
    Sequences Beginning 2,2,0,... ; 2,2,1,... ; etc.
    Sequences Beginning 2,2,4,... ; 2,2,5,... ; etc.
    Sequences Beginning 2,3,0,... ; 2,3,1,... ; etc.
    Sequences Beginning 2,3,4,... ; 2,3,5,... ; etc.
    Sequences Beginning 2,4,...
    Sequences Beginning 2,5,... ; 2,6,... and 2,7,...
    Sequences Beginning 2,8,... ; 2,9,... ; etc.
    Sequences Beginning 3,0,... ; 3,1,... ; etc.
    Sequences Beginning 3,4,... ; 3,5,... ; etc.
    Sequences Beginning 3,8,... ; 3,9,... ; etc.
    Sequences Beginning 4,0,... ; 4,1,... ; etc.
    Sequences Beginning 4,6,... ; 4,7,... ; etc.
    Sequences Beginning 5,...
    Sequences Beginning 6,... ; 7,... ; etc.



Robert Munafo's home pages on HostMDS   © 1996-2017 Robert P. Munafo.
aboutcontact    mrob    mrob27    @mrob_27    mrob27
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. Details here.
s.11