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A105062 Triangle read by rows, based on the morphism f: 1->2, 2->3, 3->4, 4->5, 5->6, 6->{6,6,10,7}, 7->8, 8->9, 9->10, 10->11, 11->12, 12->{12,12,5,1}. 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, 4, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

11's and 12's do not show up until the 8th iteration, below that it resembles the lower bi-Kenyons

Level 6 bi-Kenyon substitution sequence.

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 -> 4, 4 -> 5, 5 -> 6, 6 -> {6, 6, 10, 7}, 7 -> 8, 8 -> 9, 9 -> 10, 10 -> 11, 11 -> 12, 12 -> {12, 12, 5, 1}}; t[a_] := Join[a, Flatten[s /@ a]]; Flatten[ NestList[t, {1}, 6]]

CROSSREFS

Cf. A000120, A073058.

Sequence in context: A105061 A105164 A000120 * A106487 A105102 A105105

Adjacent sequences:  A105059 A105060 A105061 * A105063 A105064 A105065

KEYWORD

nonn,tabf

AUTHOR

Roger L. Bagula, Apr 05 2005

STATUS

approved

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Last modified June 21 23:16 EDT 2018. Contains 305646 sequences. (Running on oeis4.)