OFFSET
0,2
LINKS
Gheorghe Coserea, Table of n, a(n) for n = 0..100
Michael Borinsky, Generating asymptotics for factorially divergent sequences, arXiv preprint arXiv:1603.01236 [math.CO], 2016.
FORMULA
A111111(n) ~ n!*exp(-2)*(1 - 4/n + 2/(n*(n-1)) - (40/3)/(n*(n-1)*(n-2)) - ...). - Gheorghe Coserea, Jan 23 2017
EXAMPLE
Coefficients are 1, -4, 2, -40/3, -182/3, -7624/15, -202652/45, -14115088/315, -30800534/63, -16435427656/2835, ...
PROG
(PARI)
seq(N) = {
my(f = serreverse(x*Ser(vector(N, n, n!))));
Vec(x* f'/f * exp(2 + (f-x)/(x*f)));
};
apply(numerator, seq(20)) \\ Gheorghe Coserea, Jan 22 2017
CROSSREFS
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Jan 19 2017
EXTENSIONS
More terms from Gheorghe Coserea, Jan 22 2017
STATUS
approved