Search: id:A105164
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%I A105164
%S A105164 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 A105164 2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,5,9,7,6,1,2,2,3,
%U A105164 2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,5,9,7,6,2,3,3,4
%N A105164 Triangle read by rows, based on the morphism f: 1->2, 2->3, 3->4, 4->
               5, 5->{5,9,7,6}, 6->7, 7->8, 8->9, 9->10, 10->{10,4,2,1}. 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 A105164 A ten-symbol substitution based on a bi-Kenyon-like sign symmetry substitution 
               for the Pisot-Vijayaraghavan constant: x^5-x^3-x-1=0.
%t A105164 s[n_] := n /. {1 -> 2, 2 -> 3, 3 -> 4, 4 -> 5, 5 -> {5, 9, 7, 6}, 6 -> 
               7, 7 -> 8, 8 -> 9, 9 -> 10, 10 -> {10, 4, 2, 1}}; t[a_] := Join[a, 
               Flatten[s /@ a]]; Flatten[ NestList[t, {1}, 6]]
%Y A105164 Cf. A105061, A000120, A073058.
%Y A105164 Sequence in context: A105113 A105056 A105061 this_sequence A000120 A105062 
               A106487
%Y A105164 Adjacent sequences: A105161 A105162 A105163 this_sequence A105165 A105166 
               A105167
%K A105164 nonn,tabf
%O A105164 0,3
%A A105164 Roger Bagula (rlbagulatftn(AT)yahoo.com), Apr 09 2005
%E A105164 Edited by N. J. A. Sloane (njas(AT)research.att.com), Jun 16 2007

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