A105791 Trajectory of 1 under the morphism 1->{1, 2, 4, 2, 1}, 2->{4, 3, 1, 3, 4}, 3->{2, 1, 3, 1, 2}, 4->{3, 4, 2, 4, 3}.

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

Offset

0,2

Comments

Edgar-Peano substitution of 4 symbols taken 5 at a time, fourth type: characteristic polynomial = -x^5+5*x^3-3*x^2+15*x.

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

s[1] = {1, 2, 3, 2, 1}; s[2] = {4, 3, 2, 3, 4}; s[3] = {2, 1, 4, 1, 2}; s[4] = {3, 4, 1, 4, 3}; s[5] = {} t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]]; aa = p[3]

Crossrefs

Sequence in context: A368517 A355346 A364608 * A116515 A303118 A037178

Adjacent sequences: A105788 A105789 A105790 * A105792 A105793 A105794

Keyword

nonn

Author

Roger L. Bagula, May 04 2005

Extensions

Edited by N. J. A. Sloane, Aug 31 2006

Status

approved