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A108133 Trajectory of 1 under the morphism 1->{2}, 2->{3}, 3->{1, 2, 2, 3, 3, 3}. 0

%I

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

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

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

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

%C Three symbol Pisot substitution with characteristic polynomial x^3-3*x^2-2*x-1.

%C Roots of polynomial are {{x -> -0.313683 - 0.421053 *I}, {x -> -0.313683 + 0.421053 *I}, {x -> 3.62737}}

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

%t s[1] = {2}; s[2] = {3}; s[3] = {1, 2, 2, 3, 3, 3}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[6]

%K nonn

%O 0,2

%A _Roger L. Bagula_, Jun 04 2005

%E Edited by _N. J. A. Sloane_, Jun 12 2007

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Last modified October 16 09:02 EDT 2021. Contains 348041 sequences. (Running on oeis4.)