A105499 - OEIS

%I #10 Oct 01 2016 21:17:00

%S 2,1,2,3,2,3,2,1,2,1,3,1,2,1,2,1,3,1,2,1,2,3,2,3,2,1,2,3,2,3,1,3,1,3,

%T 2,3,2,1,2,3,2,3,2,1,2,3,2,3,1,3,1,3,2,3,2,1,2,3,2,3,2,1,2,1,3,1,2,1,

%U 2,1,3,1,2,1,2,3,2,3,2,1,2,1,3,1,2,1,2,1,3,1,3,2,3,1,3,1,3,2,3,1,3,1,2,1,2

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

%C Permutation of terdragon, characteristic polynomial -x^3+3*x^2+3*x-9=0.

%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 94, section 4.10.

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

%t Flatten[ Nest[ Flatten[ # /. {1 -> {2, 1, 2}, 2 -> {1, 3, 1}, 3 -> {3, 2, 3}} &], {1}, 5]]

%K nonn

%O 0,1

%A _Roger L. Bagula_, May 02 2005