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Search: id:A107292
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| A107292 |
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3-symbol substitution with characteristic real root polynomial:m x^3-2*x^2-2*x+2. |
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+0
1
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| 1, 3, 3, 1, 2, 2, 1, 3, 3, 1, 3, 1, 3, 3, 1, 3, 1, 3, 3, 1, 2, 2, 1, 3, 3, 1, 2, 1, 3, 3, 1, 2, 2, 1, 3, 3, 1, 2, 1, 3, 3, 1, 2, 2, 1, 3, 3, 1, 3, 1, 3, 3, 1, 3, 1, 3, 3, 1, 2, 2, 1, 3, 3, 1, 3, 1, 3, 1, 3, 3, 1, 2, 2, 1, 3, 3, 1, 3, 1, 3, 3, 1, 3, 1, 3, 3, 1, 2, 2, 1, 3, 3, 1, 3, 1, 3, 1, 3, 3, 1, 2, 2, 1, 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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This is a real root cubic:{{x -> -1.17009}, {x -> 0.688892}, {x -> 2.48119}} like the Bombieri aperiodic: a Bombieri silver Isomer substitution: ( same characteristic polynomial) 1->{3},2->{2,1,2},3->{1,2,2,1}
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FORMULA
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1->{1, 3, 3, 1}, 2->{3, 1, 3}, 3->{2}
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MATHEMATICA
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s[1] = {1, 3, 3, 1}; s[2] = {3, 1, 3}; s[3] = {2}; 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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Cf. A106748, A106749.
Sequence in context: A073067 A003637 A110628 this_sequence A004550 A096836 A096995
Adjacent sequences: A107289 A107290 A107291 this_sequence A107293 A107294 A107295
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KEYWORD
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nonn,uned
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 20 2005
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