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Search: id:A105778
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| A105778 |
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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}. |
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1
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| 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; listen)
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OFFSET
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0,2
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COMMENT
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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.
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REFERENCES
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G. A. Edgar and Jeffery Golds, "A Fractal Dimension Estimate for a Graph-Directed IFS of Non-Similarities", 1991
F. M. Dekking, Recurrent Sets, Advances in Mathematics, vol. 44, no.1, 1982, page 85, section 4.1
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MATHEMATICA
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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]
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CROSSREFS
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Adjacent sequences: A105775 A105776 A105777 this_sequence A105779 A105780 A105781
Sequence in context: A138567 A103530 A090924 this_sequence A088931 A088980 A002852
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KEYWORD
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nonn
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 04 2005
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