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A280224
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G.f.: Product_{k>=1} (1 + 2*x^(k^2)) / (1-x^k).
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3
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1, 3, 4, 7, 13, 23, 33, 51, 74, 110, 158, 222, 307, 429, 587, 792, 1065, 1423, 1877, 2470, 3227, 4196, 5416, 6963, 8899, 11344, 14384, 18158, 22840, 28647, 35786, 44552, 55295, 68423, 84422, 103879, 127457, 156009, 190481, 232007, 281934, 341879, 413640
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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a(n) ~ exp(Pi*sqrt((2*n)/3) + 3^(1/4)*c*n^(1/4)/ 2^(3/4) - 3*c^2/(32*Pi)) / (12*n), where c = -PolyLog(3/2, -2).
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MATHEMATICA
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nmax=50; CoefficientList[Series[Product[(1+2*x^(k^2))/(1-x^k), {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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