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%I #11 Oct 02 2016 10:13:15
%S 1,1,2,1,2,2,1,3,1,2,2,1,3,2,1,3,1,3,2,1,1,2,2,1,3,2,1,3,1,3,2,1,2,1,
%T 3,1,3,2,1,1,3,2,1,2,1,1,3,2,1,2,2,1,3,2,1,3,1,3,2,1,2,1,3,1,3,2,1,1,
%U 3,2,1,2,1,1,3,2,2,1,3,1,3,2,1,1,3,2,1,2,1,1,3,2,1,3,2,1,2,1,1,3,2,2,1,1,3
%N Triangle of trajectory of 1 under the morphism 1->2, 2->13, 3->1.
%H <a href="/index/Fi#FIXEDPOINTS">Index entries for sequences that are fixed points of mappings</a>
%e The first steps are:
%e {1}
%e {1, 2}
%e {1, 2, 2, 1, 3}
%e {1, 2, 2, 1, 3, 2, 1, 3, 1, 3, 2, 1}
%t s[1] = {2}; s[2] = {1, 3}; s[3] = {1}; t[a_] := Join[a, Flatten[s /@ a]]; p[0] = {1}; p[1] = t[{1}]; p[n_] := t[p[n - 1]] aa = Flatten[Table[p[n], {n, 0, 6}]]
%o (PARI) {a(n)=local(m, v, w); v=w=[1]; while(length(w)<n, m=length(v); for(k=1, m, v=concat(v, [[2],[1,3],[1]][v[k]])); w=concat(w, v)); w[n]}
%Y Cf. A073058, A105111.
%K nonn,tabf
%O 0,3
%A _Roger L. Bagula_, Apr 14 2005
%E Edited by the Associate Editors of the OEIS, Apr 07 2009
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