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Four-symbol substitution, characteristic polynomial: x^4-x^3-1.
0

%I #4 Mar 30 2012 17:34:15

%S 4,3,2,1,4,3,2,1,4,2,1,4,1,4,4,3,2,1,4,3,2,1,4,2,1,4,1,4,4,3,2,1,4,2,

%T 1,4,1,4,4,3,2,1,4,1,4,4,3,2,1,4,4,3,2,1,4,3,2,1,4,2,1,4,1,4,4,3,2,1,

%U 4,3,2,1,4,2,1,4,1,4,4,3,2,1,4,2,1,4,1,4,4,3,2,1,4,1,4,4,3,2,1,4,4,3,2,1,4

%N Four-symbol substitution, characteristic polynomial: x^4-x^3-1.

%C This substitution is associated with the Theta(1) Pisot number. Digraph matrix is: {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {1, 0, 0, 1}}

%F 1->{2}, 2->{3}, 3->{4}, 5->{1, 4}

%t s[1] = {2}; s[2] = {3}; s[3] = {4}; s[4] = {1, 2, 3}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[19]

%K nonn,uned

%O 0,1

%A _Roger L. Bagula_, May 12 2005