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A292358 E.g.f.: Product_{k>=1} 1/(1 + x^k/k). 5
1, -1, 1, -5, 20, -104, 584, -4304, 35720, -329160, 3239112, -36135912, 438454752, -5743527360, 80351263680, -1218698312064, 19599583392384, -334335747652224, 6019295318075520, -114911886106373760, 2305234779285164544, -48596575400453366784 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..449

FORMULA

a(n) ~ (-1)^n * n!. - Vaclav Kotesovec, Sep 15 2017

E.g.f.: exp(Sum_{k>=1} Sum_{j>=1} (-1)^k*x^(j*k)/(k*j^k)). - Ilya Gutkovskiy, May 27 2018

MATHEMATICA

nmax = 20; CoefficientList[Series[Product[1/(1 + x^k/k), {k, 1, nmax}], {x, 0, nmax}], x] * Range[0, nmax]! (* Vaclav Kotesovec, Sep 15 2017 *)

PROG

(PARI) {a(n) = n!*polcoeff(1/prod(k=1, n, 1+x^k/k+x*O(x^n)), n)}

CROSSREFS

Cf. A007838, A007841.

Sequence in context: A092640 A165961 A276314 * A259275 A109500 A137961

Adjacent sequences:  A292355 A292356 A292357 * A292359 A292360 A292361

KEYWORD

sign

AUTHOR

Seiichi Manyama, Sep 14 2017

STATUS

approved

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Last modified October 23 04:06 EDT 2021. Contains 348211 sequences. (Running on oeis4.)