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Search: id:A106655
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| A106655 |
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Four-symbol substitution, characteristic polynomial: x^4-x^3-1. |
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+0
1
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| 4, 3, 2, 1, 4, 3, 2, 1, 4, 2, 1, 4, 1, 4, 4, 3, 2, 1, 4, 3, 2, 1, 4, 2, 1, 4, 1, 4, 4, 3, 2, 1, 4, 2, 1, 4, 1, 4, 4, 3, 2, 1, 4, 1, 4, 4, 3, 2, 1, 4, 4, 3, 2, 1, 4, 3, 2, 1, 4, 2, 1, 4, 1, 4, 4, 3, 2, 1, 4, 3, 2, 1, 4, 2, 1, 4, 1, 4, 4, 3, 2, 1, 4, 2, 1, 4, 1, 4, 4, 3, 2, 1, 4, 1, 4, 4, 3, 2, 1, 4, 4, 3, 2, 1, 4
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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This substitution is associated with the Theta(1) Pisot number. Digraph matrix is: {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {1, 0, 0, 1}}
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FORMULA
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1->{2}, 2->{3}, 3->{4}, 5->{1, 4}
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MATHEMATICA
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s[1] = {2}; s[2] = {3}; s[3] = {4}; s[4] = {1, 2, 3}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[19]
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CROSSREFS
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Sequence in context: A110366 A090284 A093580 this_sequence A105313 A085064 A030587
Adjacent sequences: A106652 A106653 A106654 this_sequence A106656 A106657 A106658
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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 12 2005
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