A015673 Expansion of e.g.f. theta_3^(15/2).
1, 15, 195, 2145, 19665, 158535, 1447875, 18243225, 232985025, 2435846175, 28443399075, 508347464625, 8431258460625, 109007191668375, 1781609910955875, 40590985621811625, 792811219265690625
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..446
Programs
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Mathematica
nmax = 25; CoefficientList[Series[EllipticTheta[3, 0, x]^(15/2), {x, 0, nmax}], x] * Range[0, nmax]! (* Vaclav Kotesovec, Oct 23 2018 *)