OFFSET
0,3
LINKS
Robert Israel, Table of n, a(n) for n = 0..449
FORMULA
a(n) ~ n!*exp(1/3).
D-finite with recurrence: n*a(n) - n^2*a(n-1) - n*(n-1)*(n-2)*a(n-3) + n*(n-1)*(n-2)*(n-3)*a(n-4) = 0. - Robert Israel, Dec 17 2020
MAPLE
seq(n!*coeff(series(exp(x^3/3)/(1 - x), x=0, 24), x, n), n=0..23); # Paolo P. Lava, Jan 09 2019
MATHEMATICA
nmax = 23; CoefficientList[Series[Exp[x^3/3]/(1 - x), {x, 0, nmax}], x] Range[0, nmax]!
PROG
(PARI) my(x='x+O('x^30)); Vec(serlaplace(exp(x^3/3)/(1 - x))) \\ Michel Marcus, Dec 17 2020
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Sep 17 2018
STATUS
approved