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A280264
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G.f.: Product_{k>=1} (1+x^k) / (1+x^(k^3)).
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3
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1, 0, 1, 1, 1, 2, 2, 3, 2, 5, 4, 6, 7, 8, 10, 12, 15, 16, 21, 23, 28, 33, 38, 44, 51, 60, 68, 79, 91, 103, 120, 136, 156, 177, 202, 230, 260, 296, 333, 378, 425, 480, 540, 606, 682, 764, 857, 958, 1073, 1197, 1337, 1492, 1660, 1849, 2057, 2285, 2537, 2816
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OFFSET
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0,6
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COMMENTS
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LINKS
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FORMULA
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a(n) ~ exp(Pi*sqrt(n/3) - (2^(1/3) - 1) * Gamma(1/3) * Zeta(4/3) * n^(1/6) / (3^(5/6) * Pi^(1/3))) / (2^(3/2) * 3^(1/4) * n^(3/4)).
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MATHEMATICA
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nmax=100; CoefficientList[Series[Product[(1+x^k)/(1+x^(k^3)), {k, 1, nmax}], {x, 0, nmax}], x]
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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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