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A281459
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Expansion of Product_{k>=1} (1 + x^(7*k-1))*(1 + x^(7*k-6)).
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4
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1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 3, 3, 2, 1, 0, 1, 3, 5, 5, 3, 1, 0, 2, 5, 7, 7, 5, 2, 1, 3, 7, 11, 11, 7, 3, 2, 5, 11, 15, 15, 11, 5, 3, 7, 15, 22, 22, 15, 7, 5, 11, 22, 30, 30, 22, 12, 8, 15, 30, 42, 42, 30, 16, 12, 23, 42, 56
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OFFSET
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0,15
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COMMENTS
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LINKS
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FORMULA
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a(n) ~ exp(sqrt(2*n/21)*Pi) / (2^(5/4)*21^(1/4)*n^(3/4)) * (1 + (13*Pi/(84*sqrt(42)) - 3*sqrt(21/2)/(8*Pi)) / sqrt(n)). - Vaclav Kotesovec, Jan 22 2017, extended Jan 24 2017
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MATHEMATICA
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nmax = 100; CoefficientList[Series[Product[(1 + x^(7*k-1))*(1 + x^(7*k-6)), {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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