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A113921 Series expansion of elliptical invariant for the tetrahedron to 30 powers. +0
1
1, 432, 46656, 2561328, 98724096, 3095854128, 84653066304, 2099959707312, 48434918630400, 1055774529946800, 21998459314138176, 441781752631617072, 8604022581526507776, 163280569502277507888, 3030565281106746286656 (list; graph; listen)
OFFSET

0,2

REFERENCES

Elliptic Curves, McKean and Moll, 1997, Cambridge University Press, page 22

FORMULA

b(n)=coefficient expansion of (x^4 - 2*I*Sqrt[3]*x^2 + 1)^3/(x^4 + 2*I*Sqrt[3]*x^2 + 1)^3, a(n) = Abs[b(n)*b(n)]

MATHEMATICA

b = Flatten[{{1}, Table[Coefficient[Series[(x^4 - 2*I*Sqrt[3]*x^2 + 1)^3/(x^4 + 2*I*Sqrt[3]*x^2 + 1)^3, {x, 0, 30}], x^n], {n, 1, 30}]}] a = Table[Abs[b[[n]]*b[[n]]], {n, 1, Length[b]}]

CROSSREFS

Sequence in context: A006910 A015229 A109123 this_sequence A047804 A008691 A051964

Adjacent sequences: A113918 A113919 A113920 this_sequence A113922 A113923 A113924

KEYWORD

nonn

AUTHOR

Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jan 29 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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