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A106590 Trajectory of 1 under the morphism 1->{2}, 2->{3,3,3}, 3->{1,2,3}. 0
1, 2, 3, 1, 2, 3, 1, 2, 3, 2, 3, 3, 3, 1, 2, 3, 2, 3, 3, 3, 1, 2, 3, 2, 3, 3, 3, 1, 2, 3, 3, 3, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 2, 3, 3, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 2, 3, 3, 3, 1, 2, 3, 2, 3, 3, 3, 1, 2, 3, 2, 3, 3, 3, 1, 2, 3, 3, 3, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 2, 3, 3, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Three-symbol substitution based on Rauzy: adding two 3's to second substitution: characteristic polynomial x^3-x^2-3*x-2.

LINKS

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

Curtis McMullen, Prym varieties and Teichmuller curves, Duke Math. J., Volume 133, Number 3 (2006), 569-590. doi:10.1215/S0012-7094-06-13335-5.

Index entries for sequences that are fixed points of mappings

MATHEMATICA

s[1] = {2}; s[2] = {3, 3, 3}; s[3] = {1, 2, 3}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[6]

CROSSREFS

Sequence in context: A132677 A010882 A293207 * A194074 A175469 A239526

Adjacent sequences:  A106587 A106588 A106589 * A106591 A106592 A106593

KEYWORD

nonn

AUTHOR

Roger L. Bagula, May 10 2005

STATUS

approved

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Last modified August 25 15:34 EDT 2019. Contains 326324 sequences. (Running on oeis4.)