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A106148 A 9 symbol three state three level neural net feedback substitution using Levels Terdragon -Rauzy -Terdragon. 0

%I #9 Jun 17 2015 04:07:27

%S 4,5,4,8,9,8,2,3,2,3,1,3,2,3,2,5,6,5,6,4,6,5,6,5,6,4,6,4,5,4,6,4,6,5,

%T 6,5,6,4,6,5,6,5,9,7,8,9,9,7,8,9,8,7,8,9,9,7,8,9,9,7,8,9,8,7,8,9,8,9,

%U 8,7,8,9,8,7,8,9,9,7,8,9,9,7,8,9,8,7,8,9,9,7,8,9,9,3,1,3,1,2,1,2,3,2,3,1,3

%N A 9 symbol three state three level neural net feedback substitution using Levels Terdragon -Rauzy -Terdragon.

%C The three levels are:{1,2,3},{4,5,6},{7,8,9} They give triangular states as: {1} :as 0th state {4, 5, 4}, {8, 9, 8}, {2, 3, 2, 3, 1, 3, 2, 3, 2}, {5, 6, 5, 6, 4, 6, 5, 6, 5, 6, 4, 6, 4, 5, 4, 6, 4, 6, 5, 6, 5, 6, 4, 6, 5, 6,5}, {9, 7, 8, 9, 9, 7, 8, 9, 8, 7, 8, 9, 9, 7, 8, 9, 9, 7, 8, 9, 8, 7, 8, 9, 8, 9, 8, 7, 8, 9, 8, 7, 8, 9, 9, 7, 8, 9, 9, 7, 8, 9, 8, 7, 8, 9, 9, 7, 8, 9, 9},

%H F. M. Dekking, <a href="http://dx.doi.org/10.1016/0001-8708(82)90066-4">Recurrent Sets</a>, Advances in Mathematics, vol. 44, no.1, April 1982, page 96, section 4.11.

%F 1->{4, 5, 6}, 2->{5, 6, 5}, 3->{6, 4, 6}, 4->{8}, 5->{9}, 6->{7, 8, 9}, 7->{1, 2, 1}, 8->{2, 3, 2}, 9->{3, 1, 3}

%t s[1] = {4, 5, 4}; s[2] = {5, 6, 5}; s[3] = {6, 4, 6}; s[4] = {8}; s[5] = {9}; s[6] = {7, 8, 9}; s[7] = {1, 2, 1}; s[8] = {2, 3, 2}; s[9] = {3, 1, 3}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = Table[p[i], {i, 1, 6}] Flatten[aa]

%K nonn,uned

%O 0,1

%A _Roger L. Bagula_, May 07 2005

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