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Search: id:A105061
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| A105061 |
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Triangle read by rows, based on the morphism f: 1->2, 2->3, 3->4, 4->5, 5->{5,5,9,6}, 6->7, 7->8, 8->9, 9->10, 10->{10,10,4,1}. 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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2
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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, 5, 9, 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, 5, 9, 6, 2, 3, 3, 4
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Level five bi-Kenyon substitution sequence.
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LINKS
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Richard Kenyon, The Construction of Self-Similar Tilings
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MATHEMATICA
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s[n_] := n /. {1 -> 2, 2 -> 3, 3 -> 4, 4 -> 5, 5 -> {5, 5, 9, 6}, 6 -> 7, 7 -> 8, 8 -> 9, 9 -> 10, 10 -> {10, 10, 4, 1}}; t[a_] := Join[a, Flatten[s /@ a]]; Flatten[ NestList[t, {1}, 6]]
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CROSSREFS
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Cf. A000120, A073058.
Sequence in context: A105112 A105113 A105056 this_sequence A105164 A000120 A105062
Adjacent sequences: A105058 A105059 A105060 this_sequence A105062 A105063 A105064
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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 05 2005
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