%I A105061
%S A105061 1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,1,2,2,3,
%T A105061 2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,5,5,9,6,1,2,2,3,
%U A105061 2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,5,5,9,6,2,3,3,4
%N A105061 Triangle read by rows, based on the morphism f: 1->2, 2->3, 3->4, 4->
               5, 5->{5,5,9,6}, 6->7, 7->8, 8->9, 9->10, 10->{10,10,4,1}. 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 A105061 Level five bi-Kenyon substitution sequence.
%H A105061 Richard Kenyon, <a href="http://arXiv.org/abs/math.MG/9505210">The Construction 
               of Self-Similar Tilings</a>
%t A105061 s[n_] := n /. {1 -> 2, 2 -> 3, 3 -> 4, 4 -> 5, 5 -> {5, 5, 9, 6}, 6 -> 
               7, 7 -> 8, 8 -> 9, 9 -> 10, 10 -> {10, 10, 4, 1}}; t[a_] := Join[a, 
               Flatten[s /@ a]]; Flatten[ NestList[t, {1}, 6]]
%Y A105061 Cf. A000120, A073058.
%Y A105061 Sequence in context: A105112 A105113 A105056 this_sequence A105164 A000120 
               A105062
%Y A105061 Adjacent sequences: A105058 A105059 A105060 this_sequence A105062 A105063 
               A105064
%K A105061 nonn,tabf
%O A105061 1,3
%A A105061 Roger Bagula (rlbagulatftn(AT)yahoo.com), Apr 05 2005