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A115052 q=1 coefficient expansion of hierarchical lattice renormalization polynomial. +0
2
1, 6, 21, 54, 108, 162, 135, 162, 1053, 2916, 5832, 8748, 8019, 4374, 41553, 118098, 236196, 354294, 334611, 118098, 1476225, 4251528, 8503056, 12754584, 12223143 (list; graph; listen)
OFFSET

0,2

REFERENCES

The Beauty of Fractals, Springer-Verlag, New York, 1986, editors Peitgen and Richter, pages 146

FORMULA

a(n) = Starting at x^6 coefficients of ((x^3 + 3*(q - 1)*x + (q - 1)*(q - 2))/(3* x^2 + 3*(q - 2)*x + q^2 - 3*q + 3))^2

MATHEMATICA

q=1 b = Flatten[{{0}, Abs[Table[Coefficient[Series[((x^3 + 3*(q - 1)*x + (q - 1)*(q - 2))/(3*x^2 + 3*(q - 2)*x + q^2 - 3*q + 3))^2 {x, 0, 30}], x^n], {n, 1, 30}]]}]

CROSSREFS

Sequence in context: A069778 A015644 A067680 this_sequence A025203 A002817 A132366

Adjacent sequences: A115049 A115050 A115051 this_sequence A115053 A115054 A115055

KEYWORD

nonn,uned

AUTHOR

Roger Bagula (rlbagulatftn(AT)yahoo.com), Feb 28 2006

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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