A015684 Expansion of e.g.f. theta_3^(-7/2).

1, -7, 63, -693, 8841, -127575, 2047815, -36081045, 690863985, -14263534215, 315469515375, -7434244696725, 185817177956025, -4906778826324375, 136422375634920375, -3981559981797523125, 121659806332798358625

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..432

Programs

Mathematica

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