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 A105778 Trajectory of 1 under the morphism 1->{1,2,1,2,1}, 2->{4,3,4,3,4}, 3->{2,1,2,1,2}, 4->{3,4,3,4,3}. 0
 1, 2, 1, 2, 1, 4, 3, 4, 3, 4, 1, 2, 1, 2, 1, 4, 3, 4, 3, 4, 1, 2, 1, 2, 1, 3, 4, 3, 4, 3, 2, 1, 1, 1, 2, 3, 4, 3, 4, 3, 2, 1, 1, 1, 2, 3, 4, 3, 4, 3, 1, 2, 1, 2, 1, 4, 3, 4, 3, 4, 1, 2, 1, 2, 1, 4, 3, 4, 3, 4, 1, 2, 1, 2, 1, 3, 4, 3, 4, 3, 2, 1, 1, 1, 2, 3, 4, 3, 4, 3, 2, 1, 1, 1, 2, 3, 4, 3, 4, 3, 1, 2, 1, 2, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Edgar-Peano substitution of 4 symbols taken 5 at a time, second type: characteristic polynomial -x^5+5*x^3+5*x^2-25*x. LINKS 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 MATHEMATICA s[1] = {1, 2, 1, 2, 1}; s[2] = {4, 3, 4, 3, 4}; s[3] = {2, 1, 1, 1, 2}; s[4] = {3, 4, 3, 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: A090924 A247074 A160595 * A308213 A226279 A088931 Adjacent sequences:  A105775 A105776 A105777 * A105779 A105780 A105781 KEYWORD nonn AUTHOR Roger L. Bagula, May 04 2005 STATUS approved

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Last modified August 4 02:10 EDT 2020. Contains 336201 sequences. (Running on oeis4.)