A104232 - OEIS

%I #5 Mar 12 2014 16:36:46

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

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

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

%N Triangle read by rows, based on the morphism f: 1->2, 2->3, 3->{2,1}. First row is 1. If current row is a,b,c,..., then the next row is a,b,c,...,f(a),f(b),f(c),...

%C This substitution was suggested by looking at the Kenyon border tiling substitutions.

%H Richard Kenyon, <a href="http://arXiv.org/abs/math.MG/9505210">The Construction of Self-Similar Tilings</a>

%t s[n_] := n /. {1 -> 2, 2 -> 3, 3 -> {2, 1}}; t[a_] := Join[a, Flatten[s /@ a]]; Flatten[ NestList[t, {1}, 6]]

%Y Cf. A073058.

%K nonn,tabf

%O 0,3

%A _Roger L. Bagula_, Apr 02 2005