

A105111


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),...


3



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
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OFFSET

0,3


COMMENTS

6symbol substitution based on the second type Rauzy substitution that gives a tile in the Kenyon boundary method.


LINKS

Table of n, a(n) for n=0..104.
Richard Kenyon, The Construction of SelfSimilar Tilings


MATHEMATICA

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]]


CROSSREFS

Cf. A073058, A103684.
Sequence in context: A180094 A103748 A104231 * A105112 A105113 A207328
Adjacent sequences: A105108 A105109 A105110 * A105112 A105113 A105114


KEYWORD

nonn,tabf


AUTHOR

Roger L. Bagula, Apr 07 2005


STATUS

approved



