A015667 Expansion of e.g.f. theta_3^(7/2).

1, 7, 35, 105, 273, 4095, 38115, 86625, 540225, 22444695, 215417475, 1819488825, 18942548625, 273922023375, 9015078147075, 69890980784625, -152873391045375, 34948775541054375, 718624343013451875, 6694758964203935625

Offset: 0

Author

N. J. A. Sloane

Keywords

• sign

References

• J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 102.

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..448

Programs

Mathematica

nmax = 25; CoefficientList[Series[EllipticTheta[3, 0, x]^(7/2), {x, 0, nmax}], x] * Range[0, nmax]! (* Vaclav Kotesovec, Oct 23 2018 *)