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A284286
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Expansion of eta(q^2)^4 / eta(q)^8 in powers of q.
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6
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1, 8, 40, 160, 552, 1712, 4896, 13120, 33320, 80872, 188784, 425952, 932640, 1988080, 4137024, 8422848, 16810536, 32943760, 63482760, 120440608, 225217904, 415498496, 756920160, 1362645440, 2425895712, 4273590392, 7454092720, 12879684160, 22056267840
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OFFSET
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0,2
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LINKS
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FORMULA
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a(0) = 1, a(n) = (8/n)*Sum_{k=1..n} A002131(k)*a(n-k) for n > 0.
G.f.: Prod_{k>0} (1 - x^(2k))^4 / (1 - x^k)^8.
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MATHEMATICA
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eta = QPochhammer;
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PROG
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(Julia) # JacobiTheta4 is defined in A002448.
A284286List(len) = JacobiTheta4(len, -4)
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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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