# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a104231 Showing 1-1 of 1 %I A104231 #5 Mar 12 2014 16:36:46 %S A104231 1,1,2,1,2,2,3,1,2,2,3,2,3,3,3,3,5,4,1,2,2,3,2,3,3,3,3,5,4,2,3,3,3,3, %T A104231 5,4,3,3,3,5,4,3,3,5,4,3,3,5,4,3,3,5,4,6,5,1,2,2,3,2,3,3,3,3,5,4,2,3, %U A104231 3,3,3,5,4,3,3,3,5,4,3,3,5,4,3,3,5,4,3,3,5,4,6,5,2,3,3,3,3,5,4,3,3,3,5,4,3 %N A104231 Triangle read by rows, based on the morphism f: 1->2, 2->3, 3->{3,3,5,4}, 4->5, 5->6, 6->{6,6,2,1}. 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 A104231 This substitution was suggested by looking at output of the symbols of an actual Kenyon border tiling program. %H A104231 Richard Kenyon, The Construction of Self-Similar Tilings %t A104231 s[n_] := n /. {1 -> 2, 2 -> 3, 3 -> {3, 3, 5, 4}, 4 -> 5, 5 -> 6, 6 -> {6, 6, 2, 1}}; t[a_] := Join[a, Flatten[s /@ a]]; Flatten[ NestList[t, {1}, 5]] %Y A104231 Cf. A073058, A103748. %K A104231 nonn,tabf %O A104231 0,3 %A A104231 _Roger L. Bagula_, Apr 02 2005 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE