A105498 Trajectory of 1 under the morphism 1->{1,2}, 2->{1,4}, 3->{3,4}, 4->{3,4}.

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

Offset

0,2

Comments

Dekking's topological Markov sets: characteristic polynomial x*(x^3-3*x^2+x+2).

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 100, section 4.16.

Index entries for sequences that are fixed points of mappings

Mathematica

Flatten[ Nest[ Flatten[ # /. {1 -> {1, 2}, 2 -> {1, 4}, 3 -> {3, 4}, 4 -> {3, 4}} &], {1}, 7]]

Crossrefs

Sequence in context: A366450 A105584 A072064 * A179289 A083414 A334890

Adjacent sequences: A105495 A105496 A105497 * A105499 A105500 A105501

Keyword

nonn

Author

Roger L. Bagula, May 02 2005

Status

approved