%I #13 Oct 01 2016 21:14:29
%S 1,2,3,2,1,4,3,2,3,4,2,1,4,1,2,4,3,2,3,4,1,2,3,2,1,3,4,1,4,3,2,1,4,1,
%T 2,4,3,2,3,4,2,1,4,1,2,3,4,1,4,3,4,3,2,3,4,1,2,3,2,1,3,4,1,4,3,1,2,3,
%U 2,1,4,3,2,3,4,3,4,1,4,3,2,1,4,1,2,4,3,2,3,4,2,1,4,1,2,3,4,1,4,3,1,2,3,2,1
%N Fixed point of the morphism 1 -> 12321, 2 -> 43234, 3 -> 21412, 4 -> 34143, starting from a(0) = 1.
%C Edgar-Peano substitution of 4 symbols taken 5 at a time, third type: characteristic polynomial: -x^5 + 5*x^3 + 3*x^2 - 15*x.
%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 85, section 4.1.
%H G. A. Edgar, Jeffrey Golds, <a href="http://arxiv.org/abs/math/9806039">A fractal dimension estimate for a graph-directed IFS of non-similarities</a>, arXiv:math/9806039 [math.CA], 1998.
%H <a href="/index/Fi#FIXEDPOINTS">Index entries for sequences that are fixed points of mappings</a>
%F 1->{1, 2, 3, 2, 1}, 2->{4, 3, 2, 3, 4}, 3->{2, 1, 4, 1, 2}, 4->{3, 4, 1, 4, 3}
%t Flatten[ Nest[ Flatten[ # /. {1 -> {1, 2, 3, 2, 1}, 2 -> {4, 3, 2, 3, 4}, 3 -> {2, 1, 4, 1, 2}, 4 -> {3, 4, 1, 4, 3}}] &, {1}, 3]] (* _Robert G. Wilson v_, Jan 24 2006 *)
%K nonn
%O 0,2
%A _Roger L. Bagula_, May 04 2005
%E Edited by _Robert G. Wilson v_, Jan 24 2006