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A106437 4-symbol substitution related to golden mean squared quartic: Characteristic Ploynomial:(-1-3*x*2)*(1-3*x+x^2). +0
1
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; listen)
OFFSET

0,1

COMMENT

Real Pisot Roots:{{x -> -0.302776}, {x -> 0.381966}, {x -> 2.61803}, {x -> 3.30278}}

FORMULA

1->{4}, 2->{1, 2, 2, 2}, 3->{2}, 4->{3, 4, 4, 4}

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]

CROSSREFS

Cf. A001906, A006190.

Sequence in context: A008476 A112621 A081448 this_sequence A064215 A054713 A117021

Adjacent sequences: A106434 A106435 A106436 this_sequence A106438 A106439 A106440

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 29 2005

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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