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A105113 Triangle read by rows, based on the morphism f: 1->2, 2->3, 3->{3,5,5,5,4}, 4->5, 5->6, 6->{6,2,2,2,1}. 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),... 0
1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 3, 5, 5, 5, 4, 1, 2, 2, 3, 2, 3, 3, 3, 5, 5, 5, 4, 2, 3, 3, 3, 5, 5, 5, 4, 3, 3, 5, 5, 5, 4, 3, 5, 5, 5, 4, 3, 5, 5, 5, 4, 6, 6, 6, 5, 1, 2, 2, 3, 2, 3, 3, 3, 5, 5, 5, 4, 2, 3, 3, 3, 5, 5, 5, 4, 3, 3, 5, 5, 5, 4, 3, 5, 5, 5, 4, 3, 5, 5, 5, 4, 6, 6, 6, 5, 2, 3, 3, 3, 5, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

This substitution with the polynomial that goes with it gives a new tile, not predicted in the Kenyon paper.

q=3 version of bi-Kenyon 6-symbol substitution.

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, 5, 5, 4}, 4 -> 5, 5 -> 6, 6 -> {6, 2, 2, 2, 1}}; t[a_] := Join[a, Flatten[s /@ a]] p[0] = {1}; p[1] = t[{1}]; Flatten[ NestList[t, {1}, 5]]

CROSSREFS

Cf. A103684, A105112, A105111.

Sequence in context: A104231 A105111 A105112 * A207328 A105056 A105061

Adjacent sequences:  A105110 A105111 A105112 * A105114 A105115 A105116

KEYWORD

nonn,tabf

AUTHOR

Roger L. Bagula, Apr 07 2005

STATUS

approved

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Last modified April 6 11:38 EDT 2020. Contains 333273 sequences. (Running on oeis4.)