A015677 Expansion of e.g.f. theta_3^(21/2).
1, 21, 399, 6783, 102249, 1370565, 16991415, 216411615, 3146775345, 49819225365, 767467173375, 11808542505375, 208290421179225, 4084751136190725, 76593243172220775, 1426967042034909375
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..445
Programs
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Mathematica
nmax = 25; CoefficientList[Series[EllipticTheta[3, 0, x]^(21/2), {x, 0, nmax}], x] * Range[0, nmax]! (* Vaclav Kotesovec, Oct 23 2018 *)