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A318977 Expansion of e.g.f. Product_{k>=1} ((1 + x^k)/(1 - x^k))^(tau(k)/k), where tau is A000005. 5
1, 2, 8, 44, 292, 2296, 21472, 221168, 2554544, 32617952, 452957056, 6788855872, 110098330048, 1900192498304, 34971968379392, 683452436531456, 14097619892177152, 306168410773570048, 6998327049216231424, 167369475021548506112, 4187842602663179396096 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Convolution of A318696 and A318695.

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..442

MAPLE

seq(n!*coeff(series(mul(((1+x^k)/(1-x^k))^(tau(k)/k), k=1..100), x=0, 21), x, n), n=0..20); # Paolo P. Lava, Jan 09 2019

MATHEMATICA

nmax = 20; CoefficientList[Series[Product[((1+x^k)/(1-x^k))^(DivisorSigma[0, k]/k), {k, 1, nmax}], {x, 0, nmax}], x] * Range[0, nmax]!

CROSSREFS

Cf. A318695, A318696, A318814, A318976.

Cf. A318975, A301555, A301554.

Sequence in context: A260879 A179489 A240165 * A111537 A051045 A112912

Adjacent sequences:  A318974 A318975 A318976 * A318978 A318979 A318980

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Sep 06 2018

STATUS

approved

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Last modified February 19 20:17 EST 2019. Contains 320328 sequences. (Running on oeis4.)