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# Minimally Complex Sequences

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

MCS393478 (alias MCS1573932, MCS25183066) : A0 = 1; A1 = 1; A2 = 2; AN = AN-3 (score: 3)

A simple period-3 sequence. (A100063)

MCS25191258 : A0 = 2; A1 = 1; A2 = 1; AN = - AN-3 (score: 5)

MCS215232 (alias MCS787209, MCS1574444, MCS1721865, MCS3148845, MCS6887469, MCS13774938)

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

Periodic sequence 2,1,-1,-2,-1,1,... (A87204)

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

MCS786953 (alias MCS1748160) : A0 = -1; A1 = 1; A2 = 2; AN = AN-3 (score: 5)

MCS1730061 : A0 = -1; A1 = -1; AN = - AN-1 - AN-2 (score: 4)

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

MCS393606 (alias MCS12595565) : A0 = 1; A1 = 1; A2 = 2; AN = - AN-3 (score: 3)

MCS13120 : A0 = 0; A1 = 1; A2 = 2; AN = AN-1 + AN-3 - 1 (score: 5)

MCS25793 : A0 = 0; A1 = 1; A2 = 2; AN = - AN-1 - AN-3 + 1 (score: 5)

MCS504962 : A0 = 2; AK+1 = AK + K - 1 (score: 4)

MCS501314 : A0 = 2; AK+1 = K AK - AK + 1 (score: 5)

MCS504898 : A0 = 2; AK+1 = K AK + AK - 1 (score: 5)

MCS1671561 : A0 = 0; A1 = 0; A2 = 2; AN = - AN-3 - 1 (score: 5)

MCS432736 : A0 = 0; A1 = 2; AK+1 = - AK - AK-1 + K (score: 5)

MCS3096 : A0 = 0; A1 = 1; A2 = 2; AN = - AN-2 + AN-3 (score: 4)

MCS3342982 : A0 = 1; A1 = 1; A2 = 2; AN = 2 AN-3 - 1 (score: 5)

MCS25605 : A0 = 0; A1 = 1; A2 = 2; AN = - 2 AN-3 + 1 (score: 5)

MCS1638665 (alias MCS3486913, MCS6554677, MCS13847574, MCS26218710)

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

MCS877320 : A0 = 1; A1 = 2; AK+1 = K AK-1 - AK-1 - 1 (score: 5)

MCS13058 : A0 = 0; A1 = 1; A2 = 2; AN = 2 AN-3 - 1 (score: 5)

MCS6555014 : A0 = 1; A1 = 1; A2 = 2; AN = - 2 AN-3 + 1 (score: 5)

MCS877760 : A0 = 1; A1 = 2; AK+1 = - AK-1 + K - 1 (score: 4)

MCS811137 (alias MCS1622277, MCS3244569, MCS6489133)

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

MCS869568 (alias MCS1713673, MCS7022093) : A0 = 1; A1 = 2; AK+1 = - AK-1 + K + 1 (score: 4)

MCS6447366 : A0 = 1; A1 = 1; A2 = 2; AK+1 = AK + AK-2 - K (score: 5)

MCS861024 : A0 = 1; A1 = 2; AK+1 = - K AK + AK - AK-1 (score: 5)

MCS501298 : A0 = 2; AK+1 = - AK - K2 + 1 (score: 5)

MCS26241 : A0 = 0; A1 = 1; A2 = 2; AN = AN-1 - AN-3 - 1 (score: 5)

MCS505026 : A0 = 2; AK+1 = AK - K - 1 (score: 4)

MCS504866 : A0 = 2; AK+1 = AK + K2 - 1 (score: 5)

MCS878208 : A0 = 1; A1 = 2; AK+1 = AK-1 - K - 1 (score: 4)

MCS500066 : A0 = 2; AK+1 = - 2 K AK + 1 (score: 5)

MCS504162 : A0 = 2; AK+1 = - 2 K AK - 1 (score: 5)

MCS31409 : A0 = 0; AK+1 = - AK - K2 + 2 (score: 5)

MCS3446400 : A0 = 1; A1 = 2; AK+1 = AK + AK-1 - 2 K (score: 5)

MCS504882 : A0 = 2; AK+1 = AK - K2 - 1 (score: 5)

MCS878088 : A0 = 1; A1 = 2; AK+1 = K AK-1 - K - 1 (score: 5)

MCS868912 : A0 = 1; A1 = 2; AK+1 = AK-1 - K2 + 1 (score: 5)

MCS877344 : A0 = 1; A1 = 2; AK+1 = - AK-1 + K2 - 1 (score: 5)

MCS1622278 : A0 = 1; A1 = 1; A2 = 2; AN = - AN-1 + AN-3 (score: 4)

MCS6489644 : A0 = 1; A1 = 2; A2 = 1; AN = - AN-1 - AN-3 (score: 5)

MCS820273 (alias MCS1640545, MCS6562182, MCS6562189)

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

MCS6566278 : A0 = 1; A1 = 1; A2 = 2; AN = - AN-2 - AN-3 + 1 (score: 5)

MCS107014 : A0 = 0; A1 = 2; AK+1 = - K AK-1 + K (score: 5)

MCS429376 (alias MCS6960390) : A0 = 1; A1 = 2; AK+1 = 2 AK-1 - K (score: 4)

MCS53376 (alias MCS63328, MCS253314, MCS3416154)

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

A simple periodic sequence (A0034)

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

MCS3420250 (alias MCS855061) : A0 = 2; A1 = 1; AN = - AN-2 (score: 4)

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

MCS62657 (alias MCS125314, MCS854037) : A0 = -1; AN = - AN-1 + 1 (score: 3)

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

MCS53440 (alias MCS1710125) : A0 = 1; A1 = 2; AN = - AN-2 (score: 2)

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

MCS248536 : A0 = 1; AK+1 = - K AK + 2 AK - K (score: 5)

MCS794801 : A0 = 0; A1 = 1; A2 = 1; AK+1 = - 2 AK-2 + K (score: 5)

MCS428384 : A0 = 0; A1 = 2; AK+1 = - 2 AK-1 + K (score: 5)

MCS436236 : A0 = 1; A1 = 2; AK+1 = - K AK-1 + 2 (score: 5)

MCS15529 : A0 = 0; AK+1 = - K AK + 2 AK + K (score: 5)

MCS31305 : A0 = 0; AK+1 = - K AK + AK + K + 1 (score: 5)

MCS15689 (alias MCS251032) : A0 = 0; AK+1 = - K AK + K + 2 (score: 5)

MCS108673 : A0 = 0; A1 = 1; AK+1 = - K AK-1 + K + 1 (score: 5)

MCS856589 : A0 = 0; A1 = 0; AK+1 = - K AK-1 + AK-1 + K (score: 5)

MCS6697222 : A0 = 1; A1 = 1; A2 = 2; AN = - AN-2 + AN-3 - 1 (score: 5)

MCS6295642 : A0 = 2; A1 = 1; A2 = 2; AN = AN-3 (score: 5)

MCS6297690 : A0 = 2; A1 = 1; A2 = 2; AN = - AN-3 (score: 5)

MCS6693126 : A0 = 1; A1 = 1; A2 = 2; AN = AN-2 + AN-3 - 1 (score: 5)

MCS439360 : A0 = 0; A1 = 2; AN = AN-1 + AN-2 - 1 (score: 5)

MCS1589638 : A0 = 1; A1 = 1; A2 = 2; AK+1 = - AK-2 + K (score: 4)

MCS1597702 : A0 = 1; A1 = 1; A2 = 2; AK+1 = AK-2 - K (score: 4)

MCS3408730 : A0 = 2; A1 = 1; AK+1 = - K AK-1 (score: 5)

MCS3408474 : A0 = 2; A1 = 1; AK+1 = K AK-1 (score: 5)

MCS6529 : A0 = 0; A1 = 1; A2 = 2; AN = - AN-3 - 1 (score: 4)

MCS3486912 : A0 = 1; A1 = 2; AK+1 = - AK - AK-1 + K + 1 (score: 5)

MCS198177 (alias MCS6341654) : A0 = 0; A1 = 1; A2 = 1; AN = - AN-2 + AN-3 (score: 4)

MCS3171085 (alias MCS6342166) : A0 = -1; A1 = -1; A2 = 0; AN = - AN-2 - AN-3 (score: 5)

MCS6686252 : A0 = 1; A1 = 2; A2 = 1; AN = - AN-3 - 1 (score: 5)

MCS3200 (alias MCS6761, MCS819329, MCS819333, MCS1638661, MCS6554646, MCS6554668)

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

Two Steps Forward, One Step Back (A8611)

MCS27205 (alias MCS3482304, MCS3482305) : A0 = 0; A1 = 1; AN = AN-1 - 2 AN-2 + 1 (score: 5)

MCS25301174 : A0 = 1; A1 = 1; A2 = 0; AN = AN-2 + AN-3 (score: 5)

MCS6297132 : A0 = 1; A1 = 2; A2 = 1; AN = - 2 AN-3 (score: 5)

MCS3148332 : A0 = 1; A1 = 2; A2 = 1; AN = 2 AN-3 (score: 5)

MCS439392 : A0 = 0; A1 = 2; AN = AN-1 - AN-2 - 1 (score: 5)

MCS12979309 : A0 = -1; A1 = -1; A2 = -1; AN = - AN-1 - AN-3 (score: 5)

MCS6423596 : A0 = 1; A1 = 2; A2 = 1; AN = AN-1 + AN-3 (score: 5)

MCS214688 : A0 = 0; A1 = 2; AK+1 = 2 AK-1 - K (score: 5)

MCS12440 : A0 = 0; A1 = 1; A2 = 2; AK+1 = - AK-1 + AK-2 + K (score: 5)

MCS25137 : A0 = 0; A1 = 1; A2 = 2; AN = AN-1 - AN-2 - AN-3 (score: 5)

MCS3487360 : A0 = 1; A1 = 2; AK+1 = - AK + AK-1 - K + 1 (score: 5)

MCS3483328 : A0 = 1; A1 = 2; AK+1 = AK - AK-1 - K + 1 (score: 5)

MCS428736 : A0 = 1; A1 = 2; AK+1 = - AK-1 + 2 K (score: 4)

MCS874504 : A0 = 1; A1 = 2; AK+1 = K AK-1 - 2 (score: 5)

MCS856768 : A0 = 1; A1 = 2; AK+1 = - 2 AK-1 + K (score: 4)

MCS25377 : A0 = 0; A1 = 1; A2 = 2; AN = - AN-1 + AN-2 - AN-3 (score: 5)

MCS1009986 : A0 = 2; AK+1 = AK + 2 K - 1 (score: 5)

MCS126018 : A0 = 2; AK+1 = K AK - 1 (score: 4)

MCS505232 : A0 = 1; AK+1 = K AK - 2 AK - 1 (score: 5)

MCS124994 (alias MCS250657) : A0 = 2; AK+1 = K AK + 1 (score: 4)

MCS501136 : A0 = 1; AK+1 = K AK - 2 AK + 1 (score: 5)

MCS107268 : A0 = 0; A1 = 2; AK+1 = K AK-1 - K (score: 5)

MCS24993 : A0 = 0; A1 = 1; A2 = 2; AK+1 = AK-1 - AK-2 - K (score: 5)

MCS857728 : A0 = 1; A1 = 2; AK+1 = AK-1 - 2 K (score: 4)

MCS7081 (alias MCS28309, MCS500912, MCS2020034)

AK = - K2 + 2 (score: 4)

MCS15693 (alias MCS251096) : A0 = 0; AK+1 = - K AK - K + 2 (score: 5)

MCS106896 : A0 = 0; A1 = 2; AK+1 = - AK-1 + K2 (score: 5)

MCS213260 : A0 = 1; A1 = 2; AK+1 = K AK - K AK-1 (score: 5)

MCS106776 : A0 = 0; A1 = 2; AK+1 = AK-1 - K2 (score: 5)

MCS12896 : A0 = 0; A1 = 1; A2 = 2; AN = - AN-1 + AN-3 + 1 (score: 5)

MCS109664 : A0 = 0; A1 = 2; AN = - AN-2 - 1 (score: 4)

MCS126368 (alias MCS15862, MCS501378) : A0 = 1; AK+1 = - AK + K - 1 (score: 3)

MCS6504845 : A0 = 0; A1 = 0; A2 = 0; AK+1 = - AK - AK-2 + K (score: 5)

MCS6828 (alias MCS395825, MCS1748096, MCS3166598, MCS6992390)

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

MCS870080 : A0 = 1; A1 = 2; AK+1 = - AK-1 - K + 1 (score: 4)

MCS6193 : A0 = 0; A1 = 1; A2 = 2; AN = - AN-2 - AN-3 (score: 4)

MCS1718022 : A0 = 1; A1 = 1; AK+1 = 3 AK-1 - K (score: 5)

MCS1626209 : A0 = 0; A1 = 0; A2 = 1; AK+1 = - AK - AK-2 + K (score: 5)

MCS438592 : A0 = 1; A1 = 2; AN = 2 AN-2 - 1 (score: 4)

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