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A292308
E.g.f.: 1/Product_{k>=1} (1 + x^k/k!).
3
1, -1, 1, -4, 21, -96, 520, -3795, 32053, -284368, 2763876, -30648465, 373339824, -4833294389, 67167087793, -1009753574739, 16215467043493, -275361718915824, 4947532173402532, -94054153646919213, 1882793796608183356, -39528099512321898363
OFFSET
0,4
FORMULA
a(n) = (-1)^n * A076901(n).
a(n) ~ c * (-1)^n * n!, where c = Product_{k>=2} (1 + (-1)^k/k!) = 0.77351587386... - Vaclav Kotesovec, Sep 14 2017
MATHEMATICA
nmax = 20; Table[SeriesCoefficient[Product[1/(1 + x^k/k!), {k, 1, n}], {x, 0, n}], {n, 0, nmax}] * Range[0, nmax]! (* Vaclav Kotesovec, Sep 14 2017 *)
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Sep 14 2017
STATUS
approved