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Search: id:A105698
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| A105698 |
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Four-symbol substitution that gives gasket-like fractal: Characteristic polynomial: x^4-8*x^3+20*x^2-16*x. |
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+0
1
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| 1, 4, 2, 1, 4, 1, 3, 4, 2, 1, 3, 2, 1, 4, 2, 1, 4, 1, 3, 4, 1, 4, 2, 1, 3, 2, 4, 3, 4, 1, 3, 4, 2, 1, 3, 2, 1, 4, 2, 1, 3, 2, 4, 3, 2, 1, 3, 2, 1, 4, 2, 1, 4, 1, 3, 4, 2, 1, 3, 2, 1, 4, 2, 1, 4, 1, 3, 4, 1, 4, 2, 1, 3, 2, 4, 3, 4, 1, 3, 4, 1, 4, 2, 1, 4, 1, 3, 4, 2, 1, 3, 2, 1, 4, 2, 1, 3, 2, 4, 3, 2, 1, 3, 2, 4
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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One symbol per substitution added symmetrically to Dekking's Peano set
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REFERENCES
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F. M. Dekking, "Recurrent Sets", Advances in Mathematics, vol. 44, no.1, April 1982, page 85, section 4.1
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FORMULA
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1->{1, 4, 2, 1}, 2->{2, 1, 3, 2}, 3->{3, 2, 4, 3}, 4->{4, 1, 3, 4}
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MATHEMATICA
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s[1] = {1, 4, 2, 1}; s[2] = {2, 1, 3, 2}; s[3] = {3, 2, 4, 3}; s[4] = {4, 1, 3, 4}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[4]
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CROSSREFS
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Sequence in context: A071406 A010311 A023528 this_sequence A105699 A023526 A082901
Adjacent sequences: A105695 A105696 A105697 this_sequence A105699 A105700 A105701
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KEYWORD
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nonn,uned
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 04 2005
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