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Search: id:A106036
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| A106036 |
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Trajectory of 1 under the morphism 1->{1,2}, 2->{1,2,3}, 3->{1,2,3,3}. |
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+0 2
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| 1, 2, 1, 2, 3, 1, 2, 1, 2, 3, 1, 2, 3, 3, 1, 2, 1, 2, 3, 1, 2, 1, 2, 3, 1, 2, 3, 3, 1, 2, 1, 2, 3, 1, 2, 3, 3, 1, 2, 3, 3, 1, 2, 1, 2, 3, 1, 2, 1, 2, 3, 1, 2, 3, 3, 1, 2, 1, 2, 3, 1, 2, 1, 2, 3, 1, 2, 3, 3, 1, 2, 1, 2, 3, 1, 2, 3, 3, 1, 2, 3, 3, 1, 2, 1, 2, 3, 1, 2, 1, 2, 3, 1, 2, 3, 3, 1, 2, 1, 2, 3, 1, 2, 3, 3
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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2-sided chain substitution sequence: characteristic polynomial x^3-4x^2+3*x.
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REFERENCES
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M. Baake and R. V. Moody, "Self-Similar Measures for Quasicrystals", in Directions in Mathematical Quasicrystals (eds. M. Baake and R. V. Moody), CRM Monograph Series, vol. 13, AMS, Providence, RI (2000), pp. 1-42.
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MATHEMATICA
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s[1] = {1, 2}; s[2] = {1, 2, 3}; s[3] = {1, 2, 3, 3}; t[a_] := Flatten[s /@ a]; p[0] = {1}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]] aa = p[6]
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CROSSREFS
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Cf. A106035.
Sequence in context: A080382 A106394 A091412 this_sequence A007001 A094917 A082691
Adjacent sequences: A106033 A106034 A106035 this_sequence A106037 A106038 A106039
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KEYWORD
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nonn
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 05 2005
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