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Search: id:A107469
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| A107469 |
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4-symbol substitution made from Cantor matrix by one level matrix self-similarity. |
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1
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| 1, 1, 2, 3, 4, 3, 2, 1, 1, 1, 1, 2, 3, 4, 3, 2, 1, 1, 2, 2, 2, 4, 4, 4, 2, 2, 2, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 3, 3, 2, 2, 2, 4, 4, 4, 2, 2, 2, 1, 1, 2, 3, 4, 3, 2, 1, 1, 1, 1, 2, 3, 4, 3, 2, 1, 1
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Matrix: M={{4, 2,2 1}, {0, 6, 0, 3}, {0, 0, 6, 3}, {0, 0, 0, 9}} Characteristic Polynomial: -x^4+25*x^3-228*x^2+900x-1296
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REFERENCES
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Cantor set from: F. M. Dekking, "Recurrent Sets", Advances in Mathematics, vol. 44, no.1, 1982, page 85, section 4.15
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FORMULA
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1->{1, 1, 2, 3, 4, 3, 2, 1, 1}, 2->{2, 2, 2, 4, 4, 4, 2, 2, 2}, 3->{3, 3, 3, 4, 4, 4, 3, 3, 3}, 4->{4, 4, 4, 4, 4, 4, 4, 4, 4}
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MATHEMATICA
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s[1] = {1, 1, 2, 3, 4, 3, 2, 1, 1}; s[2] = {2, 2, 2, 4, 4, 4, 2, 2, 2}; s[3] = {3, 3, 3, 4, 4, 4, 3, 3, 3}; s[4] = {4, 4, 4, 4, 4, 4, 4, 4, 4}; 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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Sequence in context: A017889 A017879 A017869 this_sequence A008287 A017859 A028356
Adjacent sequences: A107466 A107467 A107468 this_sequence A107470 A107471 A107472
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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 27 2005
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