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A321027
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Expansion of Product_{k>0} theta_3(q^(2*k))/theta_3(q^(2*k-1)), where theta_3() is the Jacobi theta function.
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2
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1, -2, 6, -14, 28, -58, 114, -210, 384, -684, 1178, -2010, 3372, -5538, 9006, -14466, 22906, -35954, 55884, -85946, 131176, -198622, 298274, -444958, 659368, -970544, 1420362, -2066876, 2990680, -4305598, 6168154, -8793554, 12480718, -17637250, 24818530, -34785622
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OFFSET
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0,2
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LINKS
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MATHEMATICA
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nmax = 50; CoefficientList[Series[Product[EllipticTheta[3, 0, x^(2*k)] / EllipticTheta[3, 0, x^(2*k-1)], {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Oct 26 2018 *)
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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