A015695 Expansion of e.g.f. theta_3^(-21/2).

1, -21, 483, -12075, 325521, -9396765, 288749475, -9398322675, 322652227905, -11641352627205, 440043353374275, -17378800976950875, 715361536295492625, -30625157300600587725, 1360947531581394631875, -62670194480910433291875

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..419

Programs

Mathematica

nmax = 25; CoefficientList[Series[EllipticTheta[3, 0, x]^(-21/2), {x, 0, nmax}], x] * Range[0, nmax]! (* Vaclav Kotesovec, Oct 23 2018 *)