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A014970
Expansion of (theta_3 / theta_4)^3.
6
1, 12, 72, 304, 1056, 3240, 9056, 23520, 57600, 134332, 300528, 648720, 1357184, 2761800, 5482944, 10645664, 20256768, 37842264, 69511272, 125712624, 224104896, 394198912, 684799776, 1175834016, 1996991488
OFFSET
0,2
REFERENCES
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 102.
FORMULA
a(n) ~ exp(Pi*sqrt(3*n)) * 3^(1/4) / (16 * sqrt(2) * n^(3/4)). - Vaclav Kotesovec, Aug 28 2015
MATHEMATICA
nmax=60; CoefficientList[Series[Product[((1+x^(2*k+1))/(1-x^(2*k+1)))^6, {k, 0, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Aug 28 2015 *)
CROSSREFS
Sequence in context: A008414 A052181 A118979 * A236967 A227022 A036392
KEYWORD
nonn
AUTHOR
STATUS
approved