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A108121
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A three-symbol substitution sequence with characteristic polynomial: x^3-x^2-2*x-1.
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0
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3, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 1, 2, 2, 3, 2, 3, 3, 1, 2, 2, 3, 3, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 1, 2, 2, 3, 2, 3, 3, 1, 2, 2, 3, 3, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 1, 2, 2, 3, 2, 3, 3, 1, 2, 2, 3, 3, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 1, 2
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| This substitution is unique in that it gives a two part tile that only tiles aperiodically.
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FORMULA
| 1->{2}, 2->{3}, 3->{1, 2, 2, 3}
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MATHEMATICA
| s[1] = {2}; s[2] = {3}; s[3] = {1, 2, 2, 3}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[8]
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CROSSREFS
| Sequence in context: A144148 A085247 A003016 * A161916 A072548 A079399
Adjacent sequences: A108118 A108119 A108120 * A108122 A108123 A108124
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KEYWORD
| nonn,uned
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jun 04 2005
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