OFFSET
0,2
COMMENTS
Row sums of A291980.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..450
FORMULA
a(n) ~ n! * (-1)^(n+1) * exp(-1) / (log(n)^2 * n) * (1 - 2*(1 + gamma)/log(n)), where gamma is the Euler-Mascheroni constant (A001620). - Vaclav Kotesovec, Sep 18 2017
a(n) = 1 + Sum_{k=0..n-1} (-1)^(n-k-1) * binomial(n,k) * (n-k-1)! * a(k). - Ilya Gutkovskiy, Apr 28 2021
MAPLE
a_list := proc(n) exp(x)/(1 - log(1+x)): series(%, x, n+1):
seq(j!*coeff(%, x, j), j=0..n) end: a_list(24);
MATHEMATICA
nmax = 20; CoefficientList[Series[E^x/(1 - Log[1+x]), {x, 0, nmax}], x] * Range[0, nmax]! (* Vaclav Kotesovec, Sep 18 2017 *)
PROG
(PARI) x='x+O('x^30); Vec(serlaplace(exp(x)/(1 - log(1+x)))) \\ G. C. Greubel, Aug 30 2018
CROSSREFS
KEYWORD
sign
AUTHOR
Peter Luschny, Sep 16 2017
STATUS
approved