OFFSET
0,3
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..326
FORMULA
a(n) = [x^(2*n)] ((2*n)!/n!) * (log(1 + x))^n/(1 - x).
a(n) ~ (-1)^n * c * d^n * (n-1)!, where d = 8*w^2/(2*w-1), where w = -LambertW(-1,-exp(-1/2)/2) = 1.7564312086261696769827376166... and c = 0.0754348897003844405252291731755274... - Vaclav Kotesovec, Sep 27 2021
PROG
(PARI) a(n) = (2*n)!*polcoef(sum(k=n, 2*n, binomial(x, k)), n);
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Sep 23 2021
STATUS
approved