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Search: id:A105111
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| A105111 |
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Triangle read by rows, based on the morphism f: 1->2, 2->3, 3->{3,5,4}, 4->5, 5->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),... |
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+0
4
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| 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 3, 5, 4, 1, 2, 2, 3, 2, 3, 3, 3, 5, 4, 2, 3, 3, 3, 5, 4, 3, 3, 5, 4, 3, 5, 4, 3, 5, 4, 6, 5, 1, 2, 2, 3, 2, 3, 3, 3, 5, 4, 2, 3, 3, 3, 5, 4, 3, 3, 5, 4, 3, 5, 4, 3, 5, 4, 6, 5, 2, 3, 3, 3, 5, 4, 3, 3, 5, 4, 3, 5, 4, 3, 5, 4, 6, 5, 3, 3, 5, 4, 3, 5, 4, 3, 5, 4, 6, 5, 3, 5
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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6-symbol substitution based on the second type Rauzy substitution that gives a tile in the Kenyon boundary method.
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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 -> {3, 5, 4}, 4 -> 5, 5 -> 6, 6 -> {6, 2, 1}}; t[a_] := Join[a, Flatten[s /@ a]]; Flatten[ NestList[t, {1}, 5]]
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CROSSREFS
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Cf. A073058, A103684.
Sequence in context: A072086 A103748 A104231 this_sequence A105112 A105113 A105056
Adjacent sequences: A105108 A105109 A105110 this_sequence A105112 A105113 A105114
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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 07 2005
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