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A319306
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Expansion of (7 * theta_4(q)^20 * theta_2(q)^8 + 7 * theta_4(q)^24 * theta_2(q)^4 + 2 * theta_4(q)^28)/(2 * delta^2) in powers of q = exp(Pi i t), where delta is A000594.
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1
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1, 0, -232, 0, 86064, -1835008, 23619232, -229638144, 1841202076, -12765888512, 78856617456, -442924793856, 2295931514240, -11106754756608, 50583249259456, -218397947199488, 899050944837546, -3545383150551040, 13446464974112552, -49213617532305408
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OFFSET
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-4,3
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LINKS
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EXAMPLE
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Let q = exp(Pi i t).
theta_2(q)^4 = 16*q + 64*q^3 + ... .
theta_4(q)^4 = 1 - 8*q + 24*q^2 - 32*q^3 + ... .
delta = q^2 - 24*q^4 + 252*q^6 - 1472*q^8 + ... .
(7 * theta_4(q)^20 * theta_2(q)^8 + 7 * theta_4(q)^24 * theta_2(q)^4 + 2 * theta_4(q)^28)/delta^2
= 2*q^(-4) - 464*q^(-2) + 172128 - 3670016*q + 47238464*q^2 - 459276288*q^3 + ... .
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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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