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Trajectory of 1 under the morphism 1->{2,1,1,2}, 2->{3}, 3->{4,3,3,4}, 4->{1}.
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%I #10 Oct 02 2016 10:17:04

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

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

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

%N Trajectory of 1 under the morphism 1->{2,1,1,2}, 2->{3}, 3->{4,3,3,4}, 4->{1}.

%C Double silver dragon 4-symbol substitution; characteristic polynomial x^4-4x^3+4x^2-4.

%C The existence of the two polynomials silver: x^4-2*x^3+x^2-4 and double silver: x^4-4x^3+4x^2-4 suggests that a Kenyon-like polynomial of a general form: x^4-p*x^3+q*x^2-r might exist with substitutions associated to it.

%H <a href="/index/Fi#FIXEDPOINTS">Index entries for sequences that are fixed points of mappings</a>

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

%K nonn

%O 0,1

%A _Roger L. Bagula_, May 06 2005