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A261736
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Expansion of Product_{k>=1} (1 + x^(6*k))/(1 + x^k).
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12
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1, -1, 0, -1, 1, -1, 2, -2, 2, -3, 3, -3, 5, -5, 5, -7, 8, -8, 11, -12, 12, -16, 17, -18, 23, -25, 26, -32, 35, -37, 45, -49, 52, -62, 67, -72, 85, -92, 98, -114, 124, -133, 153, -166, 178, -203, 220, -236, 268, -290, 311, -350, 379, -407, 456, -493, 529
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OFFSET
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0,7
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LINKS
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FORMULA
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a(n) ~ (-1)^n * exp(sqrt(2*n)*Pi/3) / (2^(7/4)*sqrt(3)*n^(3/4)).
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MAPLE
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seq(coeff(series(mul((1+x^(6*k))/(1+x^k), k=1..n), x, n+1), x, n), n=0..60); # Muniru A Asiru, Jul 29 2018
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MATHEMATICA
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nmax = 100; CoefficientList[Series[Product[(1 + x^(6*k))/(1 + x^k), {k, 1, nmax}], {x, 0, nmax}], x]
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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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