A105789 Fixed point of the morphism 1 -> 12321, 2 -> 43234, 3 -> 21412, 4 -> 34143, starting from a(0) = 1.

1, 2, 3, 2, 1, 4, 3, 2, 3, 4, 2, 1, 4, 1, 2, 4, 3, 2, 3, 4, 1, 2, 3, 2, 1, 3, 4, 1, 4, 3, 2, 1, 4, 1, 2, 4, 3, 2, 3, 4, 2, 1, 4, 1, 2, 3, 4, 1, 4, 3, 4, 3, 2, 3, 4, 1, 2, 3, 2, 1, 3, 4, 1, 4, 3, 1, 2, 3, 2, 1, 4, 3, 2, 3, 4, 3, 4, 1, 4, 3, 2, 1, 4, 1, 2, 4, 3, 2, 3, 4, 2, 1, 4, 1, 2, 3, 4, 1, 4, 3, 1, 2, 3, 2, 1

Offset

0,2

Comments

Edgar-Peano substitution of 4 symbols taken 5 at a time, third type: characteristic polynomial: -x^5 + 5*x^3 + 3*x^2 - 15*x.

Links

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

F. M. Dekking, Recurrent Sets, Advances in Mathematics, vol. 44, no.1, April 1982, page 85, section 4.1.

G. A. Edgar, Jeffrey Golds, A fractal dimension estimate for a graph-directed IFS of non-similarities, arXiv:math/9806039 [math.CA], 1998.

Index entries for sequences that are fixed points of mappings

Formula

1->{1, 2, 3, 2, 1}, 2->{4, 3, 2, 3, 4}, 3->{2, 1, 4, 1, 2}, 4->{3, 4, 1, 4, 3}

Mathematica

Flatten[ Nest[ Flatten[ # /. {1 -> {1, 2, 3, 2, 1}, 2 -> {4, 3, 2, 3, 4}, 3 -> {2, 1, 4, 1, 2}, 4 -> {3, 4, 1, 4, 3}}] &, {1}, 3]] (* Robert G. Wilson v, Jan 24 2006 *)

Crossrefs

Sequence in context: A319247 A343180 A129773 * A259579 A076549 A210500

Adjacent sequences: A105786 A105787 A105788 * A105790 A105791 A105792

Keyword

nonn

Author

Roger L. Bagula, May 04 2005

Extensions

Edited by Robert G. Wilson v, Jan 24 2006

Status

approved