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A295792
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Expansion of e.g.f. Product_{k>=1} ((1 + x^k)/(1 - x^k))^(1/k).
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6
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1, 2, 6, 28, 152, 1008, 7936, 70208, 689664, 7618816, 92013824, 1202362368, 17053410304, 258928934912, 4197838491648, 72840915607552, 1334630802489344, 25799982480556032, 527187369241870336, 11292834065764450304, 253498950169144590336, 5965951790211865772032, 146341359815078034538496
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OFFSET
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0,2
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COMMENTS
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Convolution of A028342 and A168243. - Vaclav Kotesovec, Sep 07 2018
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LINKS
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Vaclav Kotesovec, Table of n, a(n) for n = 0..445
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FORMULA
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E.g.f.: exp(2*Sum_{k>=1} A001227(k)*x^k/k).
E.g.f.: exp(Sum_{k>=1} A054844(k)*x^k/k).
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MAPLE
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a:=series(mul(((1+x^k)/(1-x^k))^(1/k), k=1..100), x=0, 23): seq(n!*coeff(a, x, n), n=0..22); # Paolo P. Lava, Mar 27 2019
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MATHEMATICA
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nmax = 22; CoefficientList[Series[Product[((1 + x^k)/(1 - x^k))^(1/k), {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]!
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CROSSREFS
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Cf. A001227, A028342, A028343, A054844, A156616, A168243, A206303, A294356.
Sequence in context: A272820 A152393 A305199 * A004984 A326928 A277381
Adjacent sequences: A295789 A295790 A295791 * A295793 A295794 A295795
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KEYWORD
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nonn
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AUTHOR
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Ilya Gutkovskiy, Nov 27 2017
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STATUS
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approved
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