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A106559
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Peano-like substitution of four symbols that gives a narrow strip with a hole in it: characteristic polynomial:x^4-x^3-4x^2-x-15.
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0
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2, 3, 2, 1, 4, 1, 2, 3, 2, 4, 2, 4, 2, 3, 2, 4, 2, 4, 2, 3, 2, 1, 4, 1, 2, 3, 2, 4, 2, 4, 2, 3, 2, 4, 2, 4, 1, 4, 1, 3, 1, 3, 1, 4, 1, 4, 2, 4, 2, 3, 2, 4, 2, 4, 2, 3, 2, 1, 4, 1, 2, 3, 2, 4, 2, 4, 2, 3, 2, 4, 2, 4, 2, 3, 2, 1, 4, 1, 2, 3, 2, 3, 1, 3, 4, 2, 4, 3, 1, 3, 2, 3, 2, 1, 4, 1, 2, 3, 2, 3, 1, 3, 4, 2, 4
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| The digraph of this substitution has an asymmetrical sink in it.
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REFERENCES
| F. M. Dekking, "Recurrent Sets", Advances in Mathematics, vol. 44, no.1, 1982, page 85, section 4.1
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FORMULA
| 1->{2, 3, 2}, 2->{3, 1, 3}, 3->{4, 2, 4}, 4->{1, 4, 1}
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MATHEMATICA
| s[1] = {2, 3, 2}; s[2] = {3, 1, 3}; s[3] = {4, 2, 4}; s[4] = {1, 4, 1}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[5]
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CROSSREFS
| Sequence in context: A026105 A060475 A168069 * A106377 A118457 A129773
Adjacent sequences: A106556 A106557 A106558 * A106560 A106561 A106562
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KEYWORD
| nonn,uned
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 09 2005
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