A245554 A Rauzy fractal sequence: trajectory of 1 under morphism 1 -> 1,2,1,3; 2 -> 3; 3 -> 1.

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

Offset

1,2

Links

Table of n, a(n) for n=1..92.

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

Mathematica

Nest[ Function[ l, {Flatten[(l /. {1 -> {1, 2, 1, 3}, 2 -> {3}, 3 -> {1}})] }], {1}, 9]

Crossrefs

Cf. A092782, A245553, A105083.

Sequence in context: A158440 A119803 A195916 * A110569 A140815 A365958

Adjacent sequences: A245551 A245552 A245553 * A245555 A245556 A245557

Keyword

nonn

Author

N. J. A. Sloane, Aug 03 2014

Status

approved