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A301588
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Expansion of Product_{k>=1} (1 + x^k)^(mod(k,3)).
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2
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1, 1, 2, 2, 2, 4, 4, 7, 8, 9, 12, 14, 18, 23, 27, 33, 39, 46, 56, 67, 79, 93, 109, 126, 150, 175, 204, 237, 272, 314, 364, 419, 482, 553, 629, 720, 823, 937, 1069, 1212, 1372, 1555, 1759, 1989, 2247, 2530, 2845, 3200, 3594, 4036, 4528, 5067, 5666, 6333, 7070
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) ~ exp(Pi*sqrt(n/3)) / (2^(5/3) * 3^(1/4) * n^(3/4)).
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MATHEMATICA
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nmax = 100; CoefficientList[Series[Product[(1+x^k)^Mod[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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