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A106154
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Terdragon matrix symmetry extended to 6 symbols: characteristic polynomial: x^6-6*x^5+15*x^4-20*x^3+15*x^2-6*x-63.
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0
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6, 5, 6, 5, 4, 5, 6, 5, 6, 5, 4, 5, 4, 3, 4, 5, 4, 5, 6, 5, 6, 5, 4, 5, 6, 5, 6, 5, 4, 5, 4, 3, 4, 5, 4, 5, 4, 3, 4, 3, 2, 3, 4, 3, 4, 5, 4, 5, 4, 3, 4, 5, 4, 5, 6, 5, 6, 5, 4, 5, 6, 5, 6, 5, 4, 5, 4, 3, 4, 5, 4, 5, 6, 5, 6, 5, 4, 5, 6, 5, 6, 5, 4, 5, 4, 3, 4, 5, 4, 5, 4, 3, 4, 3, 2, 3, 4, 3, 4, 5, 4, 5, 4, 3, 4
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| This sequence gives a segment of a 120 degree hexagonal border for a tile.
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REFERENCES
| F. M. Dekking, "Recurrent Sets", Advances in Mathematics, vol. 44, no.1, April 1982, page 96, section 4.11
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FORMULA
| 1->{2, 1, 2}, 2->{3, 2, 3}, 3->{4, 3, 4}, 4->{5, 4, 5}, 5->{6, 5, 6}, 6->{1, 6, 1}
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MATHEMATICA
| s[1] = {2, 1, 2}; s[2] = {3, 2, 3}; s[3] = {4, 3, 4}; s[4] = {5, 4, 5}; s[5] = {6, 5, 6}; s[6] = {1, 6, 1}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[5]
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CROSSREFS
| Cf. A105969.
Sequence in context: A198829 A064844 A111718 * A023408 A133616 A019621
Adjacent sequences: A106151 A106152 A106153 * A106155 A106156 A106157
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KEYWORD
| nonn,uned
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 07 2005
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