A105499 Trajectory of 1 under the morphism 1->{2,1,2}, 2->{1,3,1}, 3->{3,2,3}.

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

Offset

0,1

Comments

Permutation of terdragon, characteristic polynomial -x^3+3*x^2+3*x-9=0.

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 94, section 4.10.

Index entries for sequences that are fixed points of mappings

Mathematica

Flatten[ Nest[ Flatten[ # /. {1 -> {2, 1, 2}, 2 -> {1, 3, 1}, 3 -> {3, 2, 3}} &], {1}, 5]]

Crossrefs

Sequence in context: A173964 A358134 A205710 * A005812 A362257 A136625

Adjacent sequences: A105496 A105497 A105498 * A105500 A105501 A105502

Keyword

nonn

Author

Roger L. Bagula, May 02 2005

Status

approved