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A014970
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Expansion of (theta_3 / theta_4)^3.
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6
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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
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OFFSET
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0,2
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REFERENCES
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J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 102.
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LINKS
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FORMULA
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a(n) ~ exp(Pi*sqrt(3*n)) * 3^(1/4) / (16 * sqrt(2) * n^(3/4)). - Vaclav Kotesovec, Aug 28 2015
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MATHEMATICA
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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 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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