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Search: id:A108015
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| A108015 |
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4-symbol substitution with characteristic polynomial: (x^2-x-1)*(x^2-x+1). |
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+0
1
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| 2, 3, 4, 3, 4, 4, 1, 2, 3, 4, 4, 1, 2, 4, 1, 2, 1, 2, 2, 3, 4, 3, 4, 4, 1, 2, 4, 1, 2, 1, 2, 2, 3, 4, 4, 1, 2, 1, 2, 2, 3, 4, 1, 2, 2, 3, 4, 2, 3, 4, 3, 4, 4, 1, 2, 3, 4, 4, 1, 2, 4, 1, 2, 1, 2, 2, 3, 4, 4, 1, 2, 1, 2, 2, 3, 4, 1, 2, 2, 3, 4, 2, 3, 4, 3, 4, 4, 1, 2, 4, 1, 2, 1, 2, 2, 3, 4, 1, 2, 2, 3, 4, 2, 3, 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 gives a new self-affine fractal when taken on the roots: {x -> -0.618034}, {x -> 0.5 - 0.866025*I}, {x -> 0.5 + 0.866025*I}, {x -> 1.61803}}
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FORMULA
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1->{4}, 2->{1, 2}, 3->{2}, 4->{3, 4}.
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MATHEMATICA
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s[1] = {4}; s[2] = {1, 2}; s[3] = {2}; s[4] = {3, 4}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[11]
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CROSSREFS
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Sequence in context: A165482 A099034 A165576 this_sequence A030398 A030384 A067349
Adjacent sequences: A108012 A108013 A108014 this_sequence A108016 A108017 A108018
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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 30 2005
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