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

%I #4 Oct 02 2016 10:16:42

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

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

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

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

%C 2-sided chain substitution sequence: characteristic polynomial x^3-4x^2+3*x.

%D M. Baake and R. V. Moody, "Self-Similar Measures for Quasicrystals", in Directions in Mathematical Quasicrystals (eds. M. Baake and R. V. Moody), CRM Monograph Series, vol. 13, AMS, Providence, RI (2000), pp. 1-42.

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

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

%Y Cf. A106035.

%K nonn

%O 0,2

%A _Roger L. Bagula_, May 05 2005