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A105500 Trajectory of 1 under the morphism 1->{1,2}, 2->{3,2}, 3->{3,4}, 4->{1,4}. 3
1, 2, 3, 2, 3, 4, 3, 2, 3, 4, 1, 4, 3, 4, 3, 2, 3, 4, 1, 4, 1, 2, 1, 4, 3, 4, 1, 4, 3, 4, 3, 2, 3, 4, 1, 4, 1, 2, 1, 4, 1, 2, 3, 2, 1, 2, 1, 4, 3, 4, 1, 4, 1, 2, 1, 4, 3, 4, 1, 4, 3, 4, 3, 2, 3, 4, 1, 4, 1, 2, 1, 4, 1, 2, 3, 2, 1, 2, 1, 4, 1, 2, 3, 2, 3, 4, 3, 2, 1, 2, 3, 2, 1, 2, 1, 4, 3, 4, 1, 4, 1, 2, 1, 4, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Heighways's dragon : characteristic polynomial x^4-4*x^3+6*x^2-4*x=0.

LINKS

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

F. M. Dekking, Recurrent sets, Advances in Mathematics, vol. 44, no. 1 (1982), 78-104; page 89, section 4.5.

Index entries for sequences that are fixed points of mappings

MATHEMATICA

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

CROSSREFS

Sequence in context: A106383 A175794 A324389 * A288569 A088748 A323235

Adjacent sequences:  A105497 A105498 A105499 * A105501 A105502 A105503

KEYWORD

nonn

AUTHOR

Roger L. Bagula, May 02 2005

STATUS

approved

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Last modified July 23 00:43 EDT 2019. Contains 325228 sequences. (Running on oeis4.)