A015697 Expansion of e.g.f. theta_3^(-25/2).
1, -25, 675, -19575, 606225, -19944225, 693835875, -25422933375, 977745218625, -39350424479625, 1652904664495875, -72294275991774375, 3285576793503860625, -154866859897225100625, 7558086937740656191875, -381335852895175582779375
Offset: 0
Keywords
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..416
Crossrefs
Cf. A015679.
Programs
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Mathematica
nmax = 25; CoefficientList[Series[EllipticTheta[3, 0, x]^(-25/2), {x, 0, nmax}], x] * Range[0, nmax]! (* Vaclav Kotesovec, Oct 23 2018 *)