OFFSET
0,4
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..445
FORMULA
Convolution inverse of A265950.
a(n) ~ -n! * (1 - 1/n - 1/n^2 - 6/n^3 - 31/n^4 - 219/n^5 - 1932/n^6 - 19945/n^7 - 234837/n^8 - 3104108/n^9 - 45495817/n^10). - Vaclav Kotesovec, Sep 14 2017
G.f.: exp(Sum_{k>=1} Sum_{j>=1} (-1)^k*(j!)^k*x^(j*k)/k). - Ilya Gutkovskiy, Jun 18 2018
MATHEMATICA
nmax = 25; CoefficientList[Series[Product[1/(1 + k!*x^k), {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Sep 13 2017 *)
PROG
(PARI) {a(n) = polcoeff(1/prod(k=1, n, 1+k!*x^k+x*O(x^n)), n)}
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Sep 13 2017
STATUS
approved