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A105083 A Rauzy fractal sequence: trajectory of 1 under the Sirvent-Wang morphism 1->{1, 2}, 2->3, 3->1. 5
1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 2, 3, 1, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 2, 3, 1, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 2, 3, 1, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 2, 3, 1, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..98.

P. Arnoux and E. Harriss, What is a Rauzy Fractal?, Notices Amer. Math. Soc., 61 (No. 7, 2014), 768-770, also p. 704 and front cover.

Marcy Barge and Jaroslaw Kwapisz, Geometric theory of unimodular Pisot substitutions, Amer. J. Math. 128 (2006), no. 5, 1219--1282. MR2262174 (2007m:37039). See Fig. 18.1. - N. J. A. Sloane, Aug 06 2014

Victor F. Sirvent and Yang Wang, Self-Affine Tiling via Substitution Dynamical Systems and Rauzy Fractals, Pac. J. Math., 206 (2002), 465-485. See example 2.2, page 10.

Index entries for sequences that are fixed points of mappings

MATHEMATICA

Nest[ Function[ l, {Flatten[(l /. {1 -> {1, 2}, 2 -> {3}, 3 -> {1}})] }], {1}, 12]

CROSSREFS

Cf. A073058, A092782, A245553, A245554.

Sequence in context: A139434 A113925 A180466 * A191770 A120966 A189041

Adjacent sequences:  A105080 A105081 A105082 * A105084 A105085 A105086

KEYWORD

nonn

AUTHOR

Roger L. Bagula, Apr 06 2005

EXTENSIONS

Edited by N. J. A. Sloane, Oct 10 2007 and Aug 03 2014

STATUS

approved

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Last modified October 18 10:28 EDT 2017. Contains 293507 sequences.