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A106437
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4-symbol substitution related to golden mean squared quartic: Characteristic Ploynomial:(-1-3*x*2)*(1-3*x+x^2).
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0
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4, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 2, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 2, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 1, 2, 2, 2, 2, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 2, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 2, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 1, 2, 2, 2, 2, 3
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Real Pisot Roots:{{x -> -0.302776}, {x -> 0.381966}, {x -> 2.61803}, {x -> 3.30278}}
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FORMULA
| 1->{4}, 2->{1, 2, 2, 2}, 3->{2}, 4->{3, 4, 4, 4}
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MATHEMATICA
| s[1] = {4}; s[2] = {1, 2, 2, 2}; s[3] = {2}; s[4] = {3, 4, 4, 4}; 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. A001906, A006190.
Sequence in context: A008476 A112621 A081448 * A064215 A054713 A117021
Adjacent sequences: A106434 A106435 A106436 * A106438 A106439 A106440
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KEYWORD
| nonn,uned
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 29 2005
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