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Search: id:A105105
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| A105105 |
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Triangle read by rows, based on the morphism f: 1-> 2->3 3->{6,5,4} 4->5 5->6 6->{3,2,1}. 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, 6, 5, 4, 1, 2, 2, 3, 2, 3, 3, 6, 5, 4, 2, 3, 3, 6, 5, 4, 3, 6, 5, 4, 6, 5, 4, 3, 2, 1, 6, 5, 1, 2, 2, 3, 2, 3, 3, 6, 5, 4, 2, 3, 3, 6, 5, 4, 3, 6, 5, 4, 6, 5, 4, 3, 2, 1, 6, 5, 2, 3, 3, 6, 5, 4, 3, 6, 5, 4, 6, 5, 4, 3, 2, 1, 6, 5, 3, 6, 5, 4, 6, 5, 4, 3, 2, 1, 6, 5, 6, 5
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Six-symbol substitution of the bi-Kenyon type.
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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 -> {6, 5, 4}, 4 -> 5, 5 -> 6, 6 -> {3, 2, 1}}; t[a_] := Join[a, Flatten[s /@ a]]; Flatten[ NestList[t, {1}, 5]]
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CROSSREFS
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Cf. A103684.
Sequence in context: A105062 A106487 A105102 this_sequence A054717 A086421 A109400
Adjacent sequences: A105102 A105103 A105104 this_sequence A105106 A105107 A105108
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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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