A105778 Trajectory of 1 under the morphism 1->{1,2,1,2,1}, 2->{4,3,4,3,4}, 3->{2,1,1,1,2}, 4->{3,4,3,4,3}.

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

Offset

0,2

Comments

Incorrect attempt to recreate something similar to Example (4.1) from the Dekking reference. - Joerg Arndt, May 16 2021

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 and Jeffery Golds, A Fractal Dimension Estimate for a Graph-Directed IFS of Non-Similarities, arXiv:math/9806039 [math.CA], 1991.

Index entries for sequences that are fixed points of mappings

Mathematica

n:=5; SubstitutionSystem[{1->{1, 2, 1, 2, 1}, 2->{4, 3, 4, 3, 4}, 3->{2, 1, 1, 1, 2}, 4 ->{3, 4, 3, 4, 3}}, {1}, n][[n]] (* Georg Fischer, May 14 2021 *)

Crossrefs

Cf. A105777, A105791.

Sequence in context: A090924 A247074 A160595 * A344245 A308213 A226279

Adjacent sequences: A105775 A105776 A105777 * A105779 A105780 A105781

Keyword

nonn,easy,less

Author

Roger L. Bagula, May 04 2005

Extensions

Definition corrected by Georg Fischer, May 14 2021

Status

approved