A113921 Series expansion of elliptical invariant for the tetrahedron to 30 powers.

1, 432, 46656, 2561328, 98724096, 3095854128, 84653066304, 2099959707312, 48434918630400, 1055774529946800, 21998459314138176, 441781752631617072, 8604022581526507776, 163280569502277507888, 3030565281106746286656

Offset

0,2

References

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

Links

Table of n, a(n) for n=0..14.

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: A281986 A299861 A269149 * A269211 A269094 A269273

Adjacent sequences: A113918 A113919 A113920 * A113922 A113923 A113924

Keyword

nonn

Author

Roger L. Bagula, Jan 29 2006

Status

approved