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Minimally Complex Sequences    


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2, -1, -6, 11, 48, -81, -424, 819, 4674, -9817, -60750, 137451, 911264, -2199201, -15491472, 39585635, 294337986, -791712681, -6181097686, 17417679003, 142165246800, -418024296049, ...

MCS877581 : A0 = 0; A1 = 0; AK+1 = - K AK-1 + K - 1 (score: 5)

   2, -1, -6, 11, 48, -81, -424, 819, 4674, -9817, -60750, 137451, 911264, -2199201, -15491472, 39585635, 294337986, -791712681, -6181097686, 17417679003, 142165246800, -418024296049, ...

MCS856845 : A0 = 0; A1 = 0; AK+1 = - K AK-1 - AK-1 + K (score: 5)

   2, 1, 6, 17, 26, 33, 46, 65, 82, 97, 118, 145, 170, 193, 222, 257, 290, 321, 358, 401, 442, 481, 526, 577, 626, 673, 726, 785, 842, 897, 958, 1025, 1090, 1153, 1222, 1297, 1370, 1441, 1518, 1601, ...

MCS427600 : A0 = 1; A1 = 2; AK+1 = - AK-1 + 2 K2 (score: 5)

   2, -1, -6, -19, -38, -69, -110, -167, -238, -329, -438, -571, -726, -909, -1118, -1359, -1630, -1937, -2278, -2659, -3078, -3541, -4046, -4599, -5198, -5849, -6550, -7307, -8118, -8989, -9918, ...

MCS854192 : A0 = 1; A1 = 2; AK+1 = AK-1 - 2 K2 (score: 5)

   2, -1, 6, -21, 108, -645, 4518, -36141, 325272, -3252717, 35779890, -429358677, 5581662804, -78143279253, ...

MCS213384 : A0 = 1; A1 = 2; AK+1 = - K AK + K AK-1 (score: 5)

   2, 1, -6, -23, -54, -103, -174, -271, -398, -559, -758, -999, -1286, -1623, -2014, -2463, -2974, -3551, -4198, -4919, -5718, -6599, -7566, -8623, -9774, -11023, -12374, -13831, -15398, -17079, ...

MCS500780 : A0 = 1; AK+1 = AK - 2 K2 + 1 (score: 5)

   2, 1, -6, -25, -62, -123, -214, -341, -510, -727, -998, -1329, -1726, -2195, -2742, -3373, -4094, -4911, -5830, -6857, -7998, -9259, -10646, -12165, -13822, -15623, -17574, -19681, -21950, -24387, ...

MCS14161 : AK = - K3 + 2 (score: 5)

   2, 1, -6, -27, -78, -191, -430, -923, -1926, -3951, -8022, -16187, -32542, -65279, -130782, -261819, -523926, -1048175, -2096710, -4193819, -8388078, -16776639, -33553806, -67108187, -134216998, ...

MCS31313 : A0 = 0; AK+1 = 2 AK - K2 + 1 (score: 5)

   2, -1, -7, -4, 17, 29, -22, -109, -43, 284, 413, -439, -1678, -361, 4673, 5756, -8263, -25531, -742, 75851, 78077, -149476, -383707, 64721, 1215842, 1021679, -2625847, -5690884, 2186657, 19259309, ...

MCS1722304 : A0 = 1; A1 = 2; AN = AN-1 - 3 AN-2 (score: 5)

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

   2, 1, 7, 5, 36, 31, 253, 249, 2278, 2491, 25059, 29893, 325768, 418503, 4886521, 6696049, 83070858, 120528883, 1578346303, 2410577661, 33145272364, 53032708543, 762341264373, ...

MCS3473558 : A0 = 1; A1 = 0; AK+1 = K AK-1 + 1 (score: 5)

   2, 1, 7, 5, 55, 49, 659, 685, 10543, 12329, 210859, 271237, 5060615, 7052161, 141697219, 211564829, 4534311007, 7193204185, 163235196251, 273341759029, ...

MCS438292 : A0 = 1; A1 = 2; AK+1 = 2 K AK-1 - 1 (score: 5)

   2, -1, -7, 7, 57, -69, -683, 967, 10929, -17405, -218579, 382911, 5245897, -9955685, -146885115, 298670551, 4700323681, -10154798733, -169211652515, 385882351855, ...

MCS868396 : A0 = 1; A1 = 2; AK+1 = - 2 K AK-1 + 1 (score: 5)

   2, -1, -7, -8, 2, 13, 3, -30, -44, 7, 85, 60, -122, -255, -25, 470, 504, -453, -1479, -592, 2346, 3509, -1205, -8246, -5860, 10607, 22301, 1060, -43570, -45719, 41391, 132798, 49984, -215645, ...

MCS3447488 : A0 = 1; A1 = 2; AK+1 = AK - 2 AK-1 - K (score: 5)

   2, 1, 7, 8, 16, 19, 29, 34, 46, 53, 67, 76, 92, 103, 121, 134, 154, 169, 191, 208, 232, 251, 277, 298, 326, 349, 379, 404, 436, 463, 497, 526, 562, 593, 631, 664, 704, 739, 781, 818, 862, 901, ...

MCS126344 : A0 = 1; AK+1 = - AK + K2 - 1 (score: 4)

   2, 1, 7, 10, 31, 61, 154, 337, 799, 1810, 4207, 9637, 22258, 51169, 117943, 271450, 625279, 1439629, 3315466, 7634353, 17580751, 40483810, 93226063, 214677493, 494355682, 1138388161, 2621455207, ...

MCS27553882 : A0 = 2; A1 = 1; AN = AN-1 + 3 AN-2 (score: 7)

Horadam sequence Wn(2, 1; 3, 1), Lucas sequence Vn(1, -3)

   2, -1, -7, -12, -13, -11, -10, -13, -19, -24, -25, -23, -22, -25, -31, -36, -37, -35, -34, -37, -43, -48, -49, -47, -46, -49, -55, -60, -61, -59, -58, -61, -67, -72, -73, -71, -70, -73, -79, -84, ...

MCS3446464 : A0 = 1; A1 = 2; AK+1 = AK - AK-1 - 2 K (score: 5)

   2, 1, 8, 7, 22, 21, 52, 51, 114, 113, 240, 239, 494, 493, 1004, 1003, 2026, 2025, 4072, 4071, 8166, 8165, 16356, 16355, 32738, 32737, 65504, 65503, 131038, 131037, 262108, 262107, 524250, 524249, ...

MCS856705 : A0 = -1; A1 = 0; AK+1 = 2 AK-1 + K (score: 5)

   2, -1, 8, -25, 134, -793, 5564, -44497, 400490, -4004881, 44053712, -528644521, 6872378798, -96213303145, ...

MCS15765 (alias MCS252248) : A0 = 0; AK+1 = - K AK + 2 K - 1 (score: 5)

   2, -1, 10, -5, 34, -33, 114, -165, 410, -721, 1562, -2981, 6130, -12065, 24354, -48453, 97194, -194065, 388490, -776581, 1553602, -3106721, 6213970, -12427365, 24855354, -49710033, 99420794, ...

MCS31576 : A0 = 0; AK+1 = - 2 AK + K2 - 1 (score: 5)

   2, -1, -12, -7, 14, 3, -40, -19, 66, 23, -148, -63, 278, 107, -576, -235, 1130, 447, -2284, -919, 4542, 1811, -9112, -3651, 18194, 7271, -36420, -14575, 72806, 29115, -145648, -58267, 291258, ...

MCS3435269 : A0 = 0; A1 = -1; AK+1 = - 2 AK-1 - K (score: 5)

   2, -1, -16, -1, 104, -1, -946, -1, 10394, -1, -135136, -1, 2027024, -1, -34459426, -1, 654729074, -1, -13749310576, -1, 316234143224, -1, ...

MCS858637 : A0 = 0; A1 = 0; AK+1 = - K AK-1 + AK-1 - K (score: 5)

   2, 2, 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, ...

MCS62104 (alias MCS124002) : A0 = 1; AK+1 = - K AK + 2 AK (score: 4)

   2, -2, 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, ...

MCS124482 (alias MCS248609) : A0 = 2; AK+1 = K AK - AK (score: 4)

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

MCS6701452 : A0 = 1; A1 = 2; A2 = 2; AK+1 = - AK-2 + K - 1 (score: 5)

   2, 2, 0, 0, -1, -4, -5, -7, -11, -13, -16, -21, -24, -28, -34, -38, -43, -50, -55, -61, -69, -75, -82, -91, -98, -106, -116, -124, -133, -144, -153, -163, -175, -185, -196, -209, -220, -232, -246, ...

MCS6578444 : A0 = 1; A1 = 2; A2 = 2; AK+1 = AK-2 - K + 1 (score: 5)

   2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, ...

MCS436417 (alias MCS218208, MCS6982682) : A0 = 0; A1 = 0; AN = - AN-2 + 2 (score: 4)

   2, 2, 0, 0, -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, ...

MCS13994010 : A0 = 2; A1 = 2; AN = AN-2 - 2 (score: 5)

   2, 2, 0, 0, 10, 12, -56, -80, 522, 820, -5720, -9816, 74386, 137452, -1115760, -2199200, 18967954, 39585636, -360391088, -791712680, 7568212890, 17417679004, -174068896424, -418024296048, ...

MCS53569 : A0 = 0; A1 = 1; AK+1 = - K AK-1 + 2 K (score: 5)

   2, 2, 0, 1, 0, -5, -4, -7, -18, -17, -24, -47, -46, -61, -108, -107, -138, -233, -232, -295, -486, -485, -612, -995, -994, -1249, -2016, -2015, -2526, -4061, -4060, -5083, -8154, -8153, -10200, ...

MCS3195532 : A0 = 1; A1 = 2; A2 = 2; AK+1 = 2 AK-2 - K (score: 5)

   2, 2, 0, -1, 0, 5, 8, 7, -2, -7, -4, 15, 26, 21, -16, -37, -26, 49, 92, 71, -78, -163, -120, 179, 350, 265, -332, -673, -502, 693, 1376, 1035, -1354, -2719, -2036, 2743, 5474, 4109, -5448, -10909, ...

MCS6358412 : A0 = 1; A1 = 2; A2 = 2; AK+1 = - 2 AK-2 + K (score: 5)

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

MCS1671436 : A0 = 1; A1 = 2; A2 = 2; AN = AN-3 - 1 (score: 4)

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

MCS1638796 (alias MCS6555189) : A0 = 1; A1 = 2; A2 = 2; AN = - AN-3 + 1 (score: 4)

   2, 2, 0, 1, 3, 0, -1, 4, 2, -4, 3, 7, -6, -3, 14, -2, -16, 17, 15, -32, 3, 48, -34, -44, 83, 11, -126, 73, 138, -198, -64, 337, -133, -400, 471, 268, -870, 204, 1139, -1073, -934, 2213, -138, ...

MCS6566156 : A0 = 1; A1 = 2; A2 = 2; AN = - AN-2 + AN-3 + 1 (score: 5)

   2, 2, 0, -1, -3, -2, -3, 0, -2, 2, -3, 3, -6, 5, -10, 10, -16, 19, -27, 34, -47, 60, -82, 106, -143, 187, -250, 329, -438, 578, -768, 1015, -1347, 1782, -2363, 3128, -4146, 5490, -7275, 9635, ...

MCS6693260 : A0 = 1; A1 = 2; A2 = 2; AN = AN-2 - AN-3 - 1 (score: 5)

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

MCS13913114 : A0 = 2; A1 = 2; AK+1 = - AK-1 + K + 1 (score: 5)

   2, 2, 0, -1, -4, -6, -10, -13, -18, -22, -28, -33, -40, -46, -54, -61, -70, -78, -88, -97, -108, -118, -130, -141, -154, -166, -180, -193, -208, -222, -238, -253, -270, -286, -304, -321, -340, ...

MCS14051354 : A0 = 2; A1 = 2; AK+1 = AK-1 - K - 1 (score: 5)

   2, 2, 0, -2, 0, 6, 0, -30, 0, 210, 0, -1890, 0, 20790, 0, -270270, 0, 4054050, 0, -68918850, 0, 1309458150, 0, -27498621150, 0, 632468286450, 0, ...

MCS3416282 : A0 = 2; A1 = 2; AK+1 = - K AK-1 + AK-1 (score: 5)

   2, 2, 0, 2, 0, 6, 0, 30, 0, 210, 0, 1890, 0, 20790, 0, 270270, 0, 4054050, 0, 68918850, 0, 1309458150, 0, 27498621150, 0, 632468286450, 0, ...

MCS3420314 : A0 = 2; A1 = 2; AK+1 = K AK-1 - AK-1 (score: 5)

   2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, ...

MCS196742 : A0 = 0; A1 = 2; A2 = 2; AN = AN-3 (score: 4)

   2, 2, 0, -2, -2, 0, 2, 2, 0, -2, -2, 0, 2, 2, 0, -2, -2, 0, 2, 2, 0, -2, -2, 0, 2, 2, 0, -2, -2, 0, 2, 2, 0, -2, -2, 0, 2, 2, 0, -2, -2, 0, 2, 2, 0, -2, -2, 0, 2, 2, 0, -2, -2, 0, 2, 2, 0, -2, -2, ...

MCS107616 (alias MCS196806, MCS3443738) : 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, 0, 2, -2, 0, 2, -2, 0, 2, -2, 0, 2, -2, 0, 2, -2, 0, 2, -2, 0, 2, -2, 0, 2, -2, 0, 2, -2, 0, 2, -2, 0, 2, -2, 0, 2, -2, 0, 2, -2, 0, 2, -2, 0, 2, -2, 0, 2, -2, 0, 2, -2, 0, 2, -2, 0, 2, -2, ...

MCS108128 : A0 = 0; A1 = 2; AN = - AN-1 - AN-2 (score: 4)

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

   2, 2, 0, 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, ...

MCS3459098 : A0 = 2; A1 = 2; AN = - AN-1 + AN-2 (score: 4)

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

   2, 2, 0, -2, -4, -2, 0, 6, 4, 6, -8, -2, -20, 14, -16, 54, -44, 86, -152, 174, -324, 478, -672, 1126, -1628, 2470, -3880, 5726, -8820, 13486, -20272, 31126, -47244, 71670, -109496, 166158, ...

MCS6325644 : A0 = 1; A1 = 2; A2 = 2; AN = AN-2 - 2 AN-3 (score: 5)

   2, 2, 0, 2, 4, -2, 0, 10, -4, -10, 24, 2, -44, 46, 48, -134, 44, 230, -312, -142, 772, -482, -1056, 2026, 92, -4138, 3960, 4322, -12236, 3598, 20880, -28070, -13684, 69830, -42456, -97198, 182116, ...

MCS3170956 : A0 = 1; A1 = 2; A2 = 2; AN = - AN-2 + 2 AN-3 (score: 5)

   2, 2, 0, 2, -4, 18, -88, 530, -3708, 29666, -266992, 2669922, -29369140, 352429682, -4581585864, 64142202098, -962133031468, ...

MCS15697 (alias MCS250978) : A0 = 0; AK+1 = - K AK + AK + 2 (score: 5)

   2, -2, 0, -2, 4, -18, 88, -530, 3708, -29666, 266992, -2669922, 29369140, -352429682, 4581585864, -64142202098, 962133031468, ...

MCS502882 : A0 = 2; AK+1 = - K AK - 2 (score: 5)

   2, 2, 0, 2, 6, 6, 4, 6, 10, 10, 8, 10, 14, 14, 12, 14, 18, 18, 16, 18, 22, 22, 20, 22, 26, 26, 24, 26, 30, 30, 28, 30, 34, 34, 32, 34, 38, 38, 36, 38, 42, 42, 40, 42, 46, 46, 44, 46, 50, 50, 48, ...

MCS6859802 : A0 = 2; A1 = 2; AK+1 = - AK-1 + 2 K (score: 5)

   2, 2, 0, -2, -6, -10, -16, -22, -30, -38, -48, -58, -70, -82, -96, -110, -126, -142, -160, -178, -198, -218, -240, -262, -286, -310, -336, -362, -390, -418, -448, -478, -510, -542, -576, -610, ...

MCS13723674 : A0 = 2; A1 = 2; AK+1 = AK-1 - 2 K (score: 5)

   2, 2, 0, -2, -6, -22, -104, -602, -4110, -32278, -286392, -2831642, -30861670, -367508398, -4746747504, -66086956658, -986557602366, ...

MCS3421210 : A0 = 2; A1 = 2; AK+1 = K AK - AK-1 (score: 5)

   2, 2, 0, 2, -6, 26, -136, 842, -6030, 49082, -447768, 4526762, -50242150, 607432562, -7946865456, 111863548946, ...

MCS3417626 : A0 = 2; A1 = 2; AK+1 = - K AK + AK-1 (score: 5)

   2, 2, 0, 3, 0, 1, 3, -2, 4, 0, -1, 6, -5, 5, 2, -6, 12, -9, 4, 9, -17, 22, -12, -4, 27, -38, 35, -7, -30, 66, -72, 43, 24, -95, 139, -114, 20, 120, -233, 254, -133, -99, 354, -486, 388, -33, -452, ...

MCS6603020 : A0 = 1; A1 = 2; A2 = 2; AN = - AN-1 + AN-3 + 1 (score: 5)

   2, 2, 0, -3, 1, 21, 21, -119, -279, 801, 3601, -5199, -48399, 19201, 696801, 408801, -10739999, -17689599, 175630401, 511732801, -3000875199, -13747263999, 52271990401, 368459062401, ...

MCS861196 : A0 = 1; A1 = 2; AK+1 = AK - K AK-1 + K (score: 5)

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

MCS3461894 : A0 = 1; A1 = 1; AK+1 = - AK - AK-1 + K (score: 4)

   2, 2, 0, -3, -6, -7, -5, 0, 6, 10, 9, 2, -9, -19, -22, -14, 4, 25, 38, 33, 7, -32, -66, -74, -43, 22, 95, 137, 114, 18, -120, -235, -254, -135, 99, 352, 486, 386, 33, -454, -841, -875, -422, 418, ...

MCS6717836 : A0 = 1; A1 = 2; A2 = 2; AN = AN-1 - AN-3 - 1 (score: 5)

   2, 2, 0, 4, 0, 0, 8, -8, 8, 8, -24, 40, -24, -24, 104, -152, 104, 104, -408, 616, -408, -408, 1640, -2456, 1640, 1640, -6552, 9832, -6552, -6552, 26216, -39320, 26216, 26216, -104856, 157288, ...

MCS3244684 : A0 = 1; A1 = 2; A2 = 2; AN = - AN-1 + 2 AN-3 (score: 5)

   2, -2, 0, -4, -2, -6, -4, -8, -6, -10, -8, -12, -10, -14, -12, -16, -14, -18, -16, -20, -18, -22, -20, -24, -22, -26, -24, -28, -26, -30, -28, -32, -30, -34, -32, -36, -34, -38, -36, -40, -38, ...

MCS498370 (alias MCS31413, MCS437312) : A0 = 2; AK+1 = - AK - 2 K (score: 4)

   2, 2, 0, -4, -4, 0, 8, 8, 0, -16, -16, 0, 32, 32, 0, -64, -64, 0, 128, 128, 0, -256, -256, 0, 512, 512, 0, -1024, -1024, 0, 2048, 2048, 0, -4096, -4096, 0, 8192, 8192, 0, -16384, -16384, 0, 32768, ...

MCS787142 (alias MCS3148557, MCS6297141) : A0 = 0; A1 = 2; A2 = 2; AN = - 2 AN-3 (score: 5)

   2, 2, 0, 4, 4, 0, 8, 8, 0, 16, 16, 0, 32, 32, 0, 64, 64, 0, 128, 128, 0, 256, 256, 0, 512, 512, 0, 1024, 1024, 0, 2048, 2048, 0, 4096, 4096, 0, 8192, 8192, 0, 16384, 16384, 0, 32768, 32768, 0, ...

MCS98385 (alias MCS393542, MCS12593334) : A0 = 0; A1 = 1; A2 = 1; AN = 2 AN-3 (score: 4)

   2, -2, 0, 4, -4, -12, 32, 40, -264, -56, 2432, -1872, -24880, 47344, 276096, -938912, -3202528, 18225120, 36217856, -364270016, -323869248, 7609269568, -808015360, -166595915136, 185180268416, ...

MCS864780 : A0 = 1; A1 = 2; AK+1 = - AK - K AK-1 + AK-1 (score: 5)

   2, 2, 0, -4, -4, 12, 32, -40, -264, 56, 2432, 1872, -24880, -47344, 276096, 938912, -3202528, -18225120, 36217856, 364270016, -323869248, -7609269568, -808015360, 166595915136, 185180268416, ...

MCS3440858 : A0 = 2; A1 = 2; AK+1 = AK - K AK-1 (score: 5)

   2, 2, 0, -4, -4, 12, 32, -40, -264, 56, 2432, 1872, -24880, -47344, 276096, 938912, -3202528, -18225120, 36217856, 364270016, -323869248, -7609269568, -808015360, 166595915136, 185180268416, ...

MCS860684 : A0 = 1; A1 = 2; AK+1 = AK - K AK-1 + AK-1 (score: 5)

   2, 2, 0, 4, -4, 20, -40, 160, -440, 1720, -5680, 22880, -85360, 359920, -1469600, 6508480, -28552480, 132688160, -618080320, 3006467200, -14749993280, 74879337280, -384629196160, ...

MCS3457178 : A0 = 2; A1 = 2; AK+1 = - AK + K AK-1 (score: 5)

   2, 2, 0, -4, -8, -8, 0, 16, 32, 32, 0, -64, -128, -128, 0, 256, 512, 512, 0, -1024, -2048, -2048, 0, 4096, 8192, 8192, 0, -16384, -32768, -32768, 0, 65536, 131072, 131072, 0, -262144, -524288, ...

MCS13477 (alias MCS25093, MCS1725120, MCS6423948, MCS27601946)

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

E.g.f. sin(x)*exp(x) (A9545)

Horadam sequence Wn(0, 1; -2, 2), Lucas sequence Un(2, 2) ; Horadam sequence Wn(1, 2; -2, 2) ; Horadam sequence Wn(2, 2; -2, 2), Lucas sequence Vn(2, 2)

   2, -2, 0, -4, 8, -8, 16, -32, 48, -80, 144, -240, 400, -688, 1168, -1968, 3344, -5680, 9616, -16304, 27664, -46896, 79504, -134832, 228624, -387632, 657296, -1114544, 1889808, -3204400, 5433488, ...

MCS25349 : A0 = 0; A1 = 1; A2 = 2; AN = - AN-1 - 2 AN-3 (score: 5)

   2, 2, 0, -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, ...

MCS496322 (alias MCS7069, MCS28329, MCS31397)

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

   2, 2, 0, -5, -14, -28, -48, -75, -110, -154, -208, -273, -350, -440, -544, -663, -798, -950, -1120, -1309, -1518, -1748, -2000, -2275, -2574, -2898, -3248, -3625, -4030, -4464, -4928, -5423, ...

MCS1726144 : A0 = 1; A1 = 2; AK+1 = 2 AK - AK-1 - K (score: 5)

   2, -2, 0, -6, -6, -14, -16, -26, -30, -42, -48, -62, -70, -86, -96, -114, -126, -146, -160, -182, -198, -222, -240, -266, -286, -314, -336, -366, -390, -422, -448, -482, -510, -546, -576, -614, ...

MCS498482 : A0 = 2; AK+1 = - AK - K2 - K (score: 5)

   2, 2, 0, -6, -18, -38, -68, -110, -166, -238, -328, -438, -570, -726, -908, -1118, -1358, -1630, -1936, -2278, -2658, -3078, -3540, -4046, -4598, -5198, -5848, -6550, -7306, -8118, -8988, -9918, ...

MCS496434 : A0 = 2; AK+1 = AK - K2 - K (score: 5)

   2, 2, 0, -6, -20, -50, -112, -238, -492, -1002, -2024, -4070, -8164, -16354, -32736, -65502, -131036, -262106, -524248, -1048534, -2097108, -4194258, -8388560, -16777166, -33554380, -67108810, ...

MCS248496 : A0 = 1; AK+1 = 2 AK - 2 K (score: 4)

   2, 2, 0, -7, -23, -55, -114, -218, -396, -695, -1191, -2007, -3342, -5518, -9056, -14799, -24111, -39199, -63634, -103194, -167228, -270863, -438575, -709967, -1149118, -1859710, -3009504, ...

MCS860720 : A0 = 1; A1 = 2; AK+1 = AK + AK-1 - K2 (score: 5)

   2, -2, 0, -8, -10, -22, -28, -44, -54, -74, -88, -112, -130, -158, -180, -212, -238, -274, -304, -344, -378, -422, -460, -508, -550, -602, -648, -704, -754, -814, -868, -932, -990, -1058, -1120, ...

MCS497842 : A0 = 2; AK+1 = - AK - 2 K2 (score: 5)

   2, 2, 0, -8, -26, -58, -108, -180, -278, -406, -568, -768, -1010, -1298, -1636, -2028, -2478, -2990, -3568, -4216, -4938, -5738, -6620, -7588, -8646, -9798, -11048, -12400, -13858, -15426, -17108, ...

MCS495794 : A0 = 2; AK+1 = AK - 2 K2 (score: 5)

   2, -2, 0, 9, -5, -35, 71, 181, -741, -879, 8299, 1381, -100957, 83017, 1330395, -2575635, -18710669, 62496481, 274295579, -1461728699, -4024182861, 34720485561, 53811537403, -852382705283, ...

MCS865292 : A0 = 1; A1 = 2; AK+1 = - AK - K AK-1 + K (score: 5)

   2, -2, 0, -11, -5, -31, -10, -70, -4, -147, 43, -311, 210, -690, 704, -1619, 2067, -3975, 5718, -10054, 15372, -25867, 40755, -67151, 107330, -175106, 281760, -457595, 738571, -1197007, 1934678, ...

MCS864816 : A0 = 1; A1 = 2; AK+1 = - AK + AK-1 - K2 (score: 5)

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

MCS6801 (alias MCS12929, MCS827489, MCS870592, MCS870593, MCS3309964, MCS13929494, MCS13929498)

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

1+sqrt(4/3)sin(Nπ/3) (A21823)

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

MCS6652172 : A0 = 1; A1 = 2; A2 = 2; AN = AN-3 - 2 (score: 5)

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

MCS1581452 : A0 = 1; A1 = 2; A2 = 2; AN = AN-2 - AN-3 (score: 4)

   2, 2, 1, 0, 1, 4, 7, 6, 1, -4, -1, 10, 21, 16, -5, -26, -15, 28, 71, 50, -35, -120, -77, 94, 265, 180, -161, -502, -331, 352, 1035, 694, -671, -2036, -1353, 1378, 4109, 2744, -2717, -8178, -5447, ...

MCS24837 : A0 = 0; A1 = 1; A2 = 2; AK+1 = - 2 AK-2 + K (score: 5)

   2, 2, 1, 0, -2, -4, -7, -10, -14, -18, -23, -28, -34, -40, -47, -54, -62, -70, -79, -88, -98, -108, -119, -130, -142, -154, -167, -180, -194, -208, -223, -238, -254, -270, -287, -304, -322, -340, ...

MCS3434522 : A0 = 2; A1 = 2; AK+1 = AK-1 - K (score: 4)

   2, 2, 1, 0, -2, -6, -12, -21, -35, -56, -87, -133, -201, -301, -448, -664, -981, -1446, -2128, -3128, -4594, -6743, -9893, -14510, -21277, -31195, -45731, -67035, -98258, -144018, -211083, ...

MCS6447372 : A0 = 1; A1 = 2; A2 = 2; AK+1 = AK + AK-2 - K (score: 5)

   2, 2, -1, 0, 3, -1, -3, 4, 2, -7, 2, 9, -9, -7, 18, -2, -25, 20, 23, -45, -3, 68, -42, -71, 110, 29, -181, 81, 210, -262, -129, 472, -133, -601, 605, 468, -1206, 137, 1674, -1343, -1537, 3017, ...

MCS1585420 : A0 = 1; A1 = 2; A2 = 2; AN = - AN-2 + AN-3 (score: 4)

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

MCS12992 : A0 = 0; A1 = 1; A2 = 2; AN = AN-3 - 2 (score: 5)

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

MCS3427354 : A0 = 2; A1 = 2; AK+1 = - AK-1 + K (score: 4)

   2, -2, -1, 0, -9, -8, -7, -26, -25, -24, -63, -62, -61, -140, -139, -138, -297, -296, -295, -614, -613, -612, -1251, -1250, -1249, -2528, -2527, -2526, -5085, -5084, -5083, -10202, -10201, -10200, ...

MCS12482 : A0 = 0; A1 = 1; A2 = 2; AK+1 = 2 AK-2 - K (score: 5)

   2, 2, 1, 1, 0, 0, -1, -1, -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, ...

MCS3508250 : A0 = 2; A1 = 2; AN = AN-2 - 1 (score: 4)

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

MCS819398 (alias MCS3277581) : A0 = 0; A1 = 2; A2 = 2; AN = - AN-3 + 1 (score: 5)

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

MCS496226 : A0 = 2; AK+1 = - K AK + AK + K (score: 5)

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

MCS496482 : A0 = 2; AK+1 = - K AK + AK - K (score: 5)

   2, 2, -1, 1, 1, -2, 0, 0, -3, -1, -1, -4, -2, -2, -5, -3, -3, -6, -4, -4, -7, -5, -5, -8, -6, -6, -9, -7, -7, -10, -8, -8, -11, -9, -9, -12, -10, -10, -13, -11, -11, -14, -12, -12, -15, -13, -13, ...

MCS835718 : A0 = 0; A1 = 2; A2 = 2; AN = AN-3 - 1 (score: 5)

   2, 2, 1, 1, -1, -3, -6, -11, -17, -26, -38, -54, -76, -105, -144, -196, -265, -357, -479, -641, -856, -1141, -1519, -2020, -2684, -3564, -4730, -6275, -8322, -11034, -14627, -19387, -25693, ...

MCS6398220 : A0 = 1; A1 = 2; A2 = 2; AK+1 = AK-1 + AK-2 - K (score: 5)

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

MCS440512 (alias MCS1762054, MCS6435078, MCS6435084)

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

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

MCS1738253 (alias MCS3476506) : A0 = -1; A1 = -1; AN = - AN-2 + 1 (score: 4)

   2, 2, 1, 1, 2, 4, 5, 5, 4, 4, 5, 7, 8, 8, 7, 7, 8, 10, 11, 11, 10, 10, 11, 13, 14, 14, 13, 13, 14, 16, 17, 17, 16, 16, 17, 19, 20, 20, 19, 19, 20, 22, 23, 23, 22, 22, 23, 25, 26, 26, 25, 25, 26, ...

MCS1589644 : A0 = 1; A1 = 2; A2 = 2; AK+1 = - AK-2 + K (score: 4)

   2, 2, -1, -1, -2, -6, -7, -9, -14, -16, -19, -25, -28, -32, -39, -43, -48, -56, -61, -67, -76, -82, -89, -99, -106, -114, -125, -133, -142, -154, -163, -173, -186, -196, -207, -221, -232, -244, ...

MCS1597708 : A0 = 1; A1 = 2; A2 = 2; AK+1 = AK-2 - K (score: 4)

   2, -2, 1, 1, -3, 4, -3, 0, 4, -7, 7, -3, -4, 11, -14, 10, 1, -15, 25, -24, 9, 16, -40, 49, -33, -7, 56, -89, 82, -26, -63, 145, -171, 108, 37, -208, 316, -279, 71, 245, -524, 595, -350, -174, 769, ...

MCS405569 (alias MCS811141, MCS6489110, MCS25956566)

A0 = 0; A1 = 0; A2 = 1; AN = - AN-1 + AN-3 (score: 4)

   2, 2, 1, -1, -3, -4, -3, 0, 4, 7, 7, 3, -4, -11, -14, -10, 1, 15, 25, 24, 9, -16, -40, -49, -33, 7, 56, 89, 82, 26, -63, -145, -171, -108, 37, 208, 316, 279, 71, -245, -524, -595, -350, 174, 769, ...

MCS6273 (alias MCS803009, MCS803013, MCS1606028, MCS3212045, MCS6424086, MCS6424109, MCS6424117, MCS12848237, MCS25696470)

A0 = 0; A1 = 1; A2 = 2; AN = AN-1 - AN-3 (score: 4)

   2, 2, 1, 1, 3, 5, 4, 1, 1, 6, 10, 6, -2, -1, 12, 20, 7, -13, -7, 27, 42, 3, -45, -20, 68, 92, -20, -131, -42, 182, 205, -107, -353, -63, 496, 453, -395, -910, -18, 1346, 970, -1285, -2272, 360, ...

MCS1592417 : A0 = 0; A1 = 0; A2 = 1; AK+1 = - AK-1 - AK-2 + K (score: 5)

   2, 2, 1, 1, 3, 6, 8, 8, 7, 7, 9, 12, 14, 14, 13, 13, 15, 18, 20, 20, 19, 19, 21, 24, 26, 26, 25, 25, 27, 30, 32, 32, 31, 31, 33, 36, 38, 38, 37, 37, 39, 42, 44, 44, 43, 43, 45, 48, 50, 50, 49, 49, ...

MCS13782042 : A0 = 2; A1 = 2; AK+1 = AK - AK-1 + K (score: 5)

   2, 2, -1, -1, 3, 7, 4, -3, -3, 8, 16, 6, -12, -9, 20, 36, 5, -39, -23, 53, 82, -9, -113, -50, 146, 188, -70, -307, -90, 406, 427, -285, -801, -109, 1120, 945, -975, -2028, 68, 3042, 2000, -3069, ...

MCS6369676 : A0 = 1; A1 = 2; A2 = 2; AK+1 = - AK-1 - AK-2 + K (score: 5)

   2, 2, -1, 1, -4, 6, -11, 21, -38, 70, -129, 237, -436, 802, -1475, 2713, -4990, 9178, -16881, 31049, -57108, 105038, -193195, 355341, -653574, 1202110, -2211025, 4066709, -7479844, 13757578, ...

MCS6496652 : A0 = 1; A1 = 2; A2 = 2; AN = - AN-1 + AN-2 - AN-3 (score: 5)

   2, 2, 1, 1, 4, 8, 7, -1, -6, 6, 29, 29, -16, -60, -13, 123, 166, -62, -375, -231, 540, 1024, -33, -2057, -1966, 2174, 6133, 1813, -10424, -14020, 6859, 34931, 21246, -48582, -91039, 6161, 188276, ...

MCS26917 : A0 = 0; A1 = 1; AK+1 = AK - 2 AK-1 + K (score: 5)

   2, 2, 1, -1, -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, ...

MCS124098 (alias MCS125232, MCS502369, MCS1758400)

A0 = 2; AK+1 = AK - K (score: 3)

   2, 2, -1, 1, -5, 2, -12, 8, -27, 27, -63, 80, -154, 222, -389, 597, -1001, 1582, -2600, 4164, -6783, 10927, -17731, 28636, -46390, 75002, -121417, 196393, -317837, 514202, -832068, 1346240, ...

MCS13854746 : A0 = 2; A1 = 2; AK+1 = - AK + AK-1 - K (score: 5)

   2, 2, 1, 2, 0, 3, -2, 6, -7, 14, -20, 35, -54, 90, -143, 234, -376, 611, -986, 1598, -2583, 4182, -6764, 10947, -17710, 28658, -46367, 75026, -121392, 196419, -317810, 514230, -832039, 1346270, ...

MCS13944858 : A0 = 2; A1 = 2; AN = - AN-1 + AN-2 + 1 (score: 5)

   2, 2, 1, 2, 0, 4, -5, 18, -42, 136, -387, 1350, -4268, 16188, -55497, 226618, -832470, 3625872, -14152007, 65265678, -268888152, 1305313540, -5646651213, 28716897858, -129872977922, 689205548568, ...

MCS3432602 : A0 = 2; A1 = 2; AK+1 = K AK-1 - K (score: 5)

   2, 2, -1, 2, 0, 6, -2, 9, -7, 18, -17, 35, -41, 71, -92, 148, -203, 312, -442, 664, -956, 1419, -2061, 3040, -4435, 6521, -9535, 13997, -20490, 30054, -44021, 64542, -94564, 138618, -203126, ...

MCS6504844 : A0 = 1; A1 = 2; A2 = 2; AK+1 = - AK - AK-2 + K (score: 5)

   2, 2, 1, 2, -1, 10, -43, 266, -1853, 14834, -133495, 1334962, -14684569, 176214842, -2290792931, 32071101050, -481066515733, ...

MCS500888 : A0 = 1; AK+1 = - K AK + AK + K + 1 (score: 5)

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

MCS393484 (alias MCS25182938) : A0 = 1; A1 = 2; A2 = 2; AN = AN-3 (score: 3)

A simple period-3 sequence. (A130196)

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

MCS25191130 : A0 = 2; A1 = 2; A2 = 1; AN = - AN-3 (score: 5)

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

MCS393612 (alias MCS12595629) : A0 = 1; A1 = 2; A2 = 2; AN = - AN-3 (score: 3)

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

MCS871616 : A0 = 1; A1 = 2; AN = - AN-1 - AN-2 + 1 (score: 4)

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

MCS428417 (alias MCS434784, MCS3499201, MCS3511045)

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

  


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Quick Index:
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