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Search: id:A105164
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| A105164 |
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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),... |
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+0
1
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| 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; listen)
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OFFSET
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0,3
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COMMENT
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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.
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MATHEMATICA
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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]]
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CROSSREFS
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Cf. A105061, A000120, A073058.
Adjacent sequences: A105161 A105162 A105163 this_sequence A105165 A105166 A105167
Sequence in context: A105113 A105056 A105061 this_sequence A000120 A105062 A106487
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KEYWORD
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nonn,tabf
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AUTHOR
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Roger Bagula (rlbagulatftn(AT)yahoo.com), Apr 09 2005
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Jun 16 2007
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