A105646 Fixed point of the morphism 1 -> 121, 2 -> 343, 3 -> 434, 4 -> 212, starting from a(0) = 1.

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

Offset

0,2

Comments

Rectangular space-fill from Peano space-fill by row permutation of the digraph matrix: Characteristic polynomial: x^4-3*x^3-3*x+9.

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.

Index entries for sequences that are fixed points of mappings

Formula

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

Mathematica

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

Crossrefs

Sequence in context: A210793 A281715 A076632 * A059126 A059128 A356248

Adjacent sequences: A105643 A105644 A105645 * A105647 A105648 A105649

Keyword

nonn

Author

Roger L. Bagula, May 03 2005

Extensions

Edited by Robert G. Wilson v, Jan 24 2006

Status

approved