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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

6-symbol 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 Self-Similar 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

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Last modified February 21 03:02 EST 2020. Contains 332086 sequences. (Running on oeis4.)