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Trajectory of 1 under the morphism 1->{1,2}, 2->{1,4}, 3->{3,4}, 4->{3,4}.
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%I #10 Oct 01 2016 21:07:11

%S 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,

%T 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,

%U 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

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

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

%H F. M. Dekking, <a href="http://dx.doi.org/10.1016/0001-8708(82)90066-4">Recurrent Sets</a>, Advances in Mathematics, vol. 44, no.1, April 1982, page 100, section 4.16.

%H <a href="/index/Fi#FIXEDPOINTS">Index entries for sequences that are fixed points of mappings</a>

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

%K nonn

%O 0,2

%A _Roger L. Bagula_, May 02 2005