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 A105056 Triangle read by rows, based on the morphism f: 1->2, 2->3, 3->4, 4->{4,4,7,5}, 5->6, 6->7, 7->8, 8->{8,8,3,1}. 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),... 1
 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, 4, 4, 7, 5, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 4, 4, 7, 5, 2, 3, 3, 4, 3, 4, 4, 4, 4, 7, 5, 3, 4, 4, 4, 4, 7, 5, 4, 4, 4, 7, 5, 4, 4, 7, 5, 4, 4, 7, 5, 4, 4, 7, 5, 8, 6, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS This sequence is the next level of substitution suggested in section 6 of the Kenyon paper. A tile exists at this level as well. LINKS Richard Kenyon, The Construction of Self-Similar Tilings MATHEMATICA s[n_] := n /. {1 -> 2, 2 -> 3, 3 -> 4, 4 -> {4, 4, 7, 5}, 5 -> 6, 6 -> 7, 7 -> 8, 8 -> {8, 8, 3, 1}}; t[a_] := Join[a, Flatten[s /@ a]]; Flatten[ NestList[t, {1}, 6]] CROSSREFS Cf. A000120, A073058. Sequence in context: A105112 A105113 A207328 * A105061 A105164 A000120 Adjacent sequences:  A105053 A105054 A105055 * A105057 A105058 A105059 KEYWORD nonn,tabf AUTHOR Roger L. Bagula, Apr 04 2005 STATUS approved

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Last modified February 26 21:58 EST 2020. Contains 332295 sequences. (Running on oeis4.)