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 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),... 0
 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, 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, 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS 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. LINKS MATHEMATICA 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]] CROSSREFS Cf. A105061, A000120, A073058. Sequence in context: A207328 A105056 A105061 * A000120 A105062 A106487 Adjacent sequences:  A105161 A105162 A105163 * A105165 A105166 A105167 KEYWORD nonn,tabf AUTHOR Roger L. Bagula, Apr 09 2005 EXTENSIONS Edited by N. J. A. Sloane, Jun 16 2007 STATUS approved

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