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A105105 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),... 0
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; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Six-symbol substitution of the bi-Kenyon type.

LINKS

Table of n, a(n) for n=0..104.

Richard Kenyon, The Construction of Self-Similar Tilings

EXAMPLE

Triangle begins:

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,

...

MATHEMATICA

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]]

NestList[ Flatten[ Join[ #, # /. {1 -> {2}, 2 ->{3}, 3 ->{6, 5, 4}, 4 ->{5}, 5-> {6}, 6-> {3, 2, 1}} ]] &, {1}, 5] // Flatten (* Robert G. Wilson v, Jun 05 2014 *)

CROSSREFS

Cf. A103684.

Sequence in context: A105062 A106487 A105102 * A178677 A243924 A335474

Adjacent sequences:  A105102 A105103 A105104 * A105106 A105107 A105108

KEYWORD

nonn,tabf

AUTHOR

Roger L. Bagula, Apr 07 2005

STATUS

approved

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Last modified September 16 12:35 EDT 2021. Contains 347472 sequences. (Running on oeis4.)