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A327049
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Expansion of Product_{k>=1} (1 + x^k) * (1 + x^(2*k)) * (1 + x^(3*k)) * (1 + x^(4*k)) / ((1 - x^k) * (1 - x^(2*k)) * (1 - x^(3*k)) * (1 - x^(4*k))).
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3
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1, 2, 6, 14, 32, 64, 132, 248, 466, 838, 1488, 2560, 4370, 7272, 11988, 19424, 31160, 49280, 77294, 119780, 184164, 280408, 423808, 635136, 945628, 1397398, 2052536, 2995210, 4346416, 6270272, 8999668, 12848584, 18257122, 25817760, 36349600, 50952064, 71131448
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OFFSET
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0,2
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COMMENTS
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Convolution of A327046 and A327043.
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LINKS
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Vaclav Kotesovec, Table of n, a(n) for n = 0..10000
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FORMULA
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a(n) ~ 5^(5/2) * exp(5*Pi*sqrt(n/3)/2) / (2^(17/2)*3^(3/4)*n^(7/4)).
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MATHEMATICA
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nmax = 50; CoefficientList[Series[Product[(1+x^k) * (1+x^(2*k)) * (1+x^(3*k)) * (1+x^(4*k))/((1-x^k) * (1-x^(2*k)) * (1-x^(3*k)) * (1-x^(4*k))), {k, 1, nmax}], {x, 0, nmax}], x]
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CROSSREFS
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Cf. A015128, A246584, A327048, A327050.
Cf. A301554.
Sequence in context: A002524 A188493 A055292 * A035592 A327050 A301554
Adjacent sequences: A327046 A327047 A327048 * A327050 A327051 A327052
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KEYWORD
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nonn
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AUTHOR
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Vaclav Kotesovec, Aug 16 2019
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STATUS
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approved
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