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Search: id:A106052
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| A106052 |
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Trajectory of 1 under the morphism 1->{2,1,1,2}, 2->{3}, 3->{4,3,3,4}, 4->{1}. |
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1
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| 2, 1, 1, 2, 1, 4, 3, 3, 4, 4, 3, 3, 4, 1, 1, 4, 3, 3, 4, 4, 3, 3, 4, 1, 2, 1, 1, 2, 1, 4, 3, 3, 4, 4, 3, 3, 4, 1, 4, 3, 3, 4, 3, 2, 1, 1, 2, 2, 1, 1, 2, 3, 3, 2, 1, 1, 2, 2, 1, 1, 2, 3, 4, 3, 3, 4, 4, 3, 3, 4, 3, 2, 1, 1, 2, 2, 1, 1, 2, 3, 3, 2, 1, 1, 2, 2, 1, 1, 2, 3, 4, 3, 3, 4, 1, 4, 3, 3, 4, 4, 3, 3, 4, 1, 1
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Double siver dragon 4-symbol substitution; characteristic polynomial x^4-4x^3+4x^2-4.
The existence of the two polynomials silver: x^4-2*x^3+x^2-4 and double silver: x^4-4x^3+4x^2-4 suggests that a Kenyon-like polynomial of a general form: x^4-p*x^3+q*x^2-r might exist with substitutionms associated to it.
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MATHEMATICA
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s[1] = {2, 1, 1, 2}; s[2] = {3}; s[3] = {4, 3, 3, 4}; s[4] = {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
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Sequence in context: A082506 A053000 A002070 this_sequence A050473 A057593 A117008
Adjacent sequences: A106049 A106050 A106051 this_sequence A106053 A106054 A106055
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KEYWORD
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nonn
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AUTHOR
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Roger Bagula (rlbagulatftn(AT)yahoo.com), May 06 2005
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