A245553 A Rauzy fractal sequence: trajectory of 1 under morphism 1 -> 2,3; 2 -> 3; 3 -> 1.

1, 2, 3, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 1, 2, 3, 2, 3, 3, 1, 3, 1, 1, 2, 3, 3, 1, 1, 2, 3, 1, 2, 3, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 1, 2, 3, 3, 1, 1, 2, 3, 1, 2, 3, 2, 3, 3, 1, 3, 1, 1, 2, 3, 1, 2, 3, 2, 3, 3, 1, 1, 2, 3, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 1, 2, 3

Offset: 1

Author

N. J. A. Sloane, Aug 03 2014

Keywords

• nonn

Links

• 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.
• Index entries for sequences that are fixed points of mappings

Crossrefs

Cf. A092782, A245554, A105083.

Programs

Mathematica

Nest[ Function[ l, {Flatten[(l /. {1 -> {2, 3}, 2 -> {3}, 3 -> {1}})] }], {1}, 15]