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Search: id:A106054
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| A106054 |
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Trajectory of 1 under the morphism 1->{2,2,1,2,2}, 2->{3}, 3->{4,4,3,4,4}, 4->{1}. |
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1
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| 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 4, 4, 3, 4, 4, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 4, 4, 3, 4, 4, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 4, 4, 3, 4, 4, 1, 1, 1, 1, 4, 4, 3, 4, 4, 1, 1, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 3, 3, 2, 2, 1, 2, 2, 3, 3, 4, 4, 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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Pentasilver dragon 5-symbol substitution, characteristic polynomial x^4-2*x^3+x-16.
The existence of the three polynomials silver: x^4-2*x^3+x^2-4, double silver: x^4-4x^3+4x^2-4 and pentasilver: x^4-2*x^3+x-16 confirms that a Kenyon-like polynomial of a general form: x^4-p*x^3+q*x^2-r exists with substitutionms associated to it.
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MATHEMATICA
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s[1] = {2, 2, 1, 2, 2}; s[2] = {3}; s[3] = {4, 4, 3, 4, 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: A107260 A116204 A159905 this_sequence A160242 A023568 A081753
Adjacent sequences: A106051 A106052 A106053 this_sequence A106055 A106056 A106057
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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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EXTENSIONS
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Corrected and edited by N. J. A. Sloane (njas(AT)research.att.com), Jun 03 2005
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