A380021 Expansion of e.g.f. 1/(exp(-3*x) - 3*x*exp(-2*x))^(1/3).
1, 2, 9, 77, 977, 16281, 335173, 8208901, 233037185, 7522621505, 272096862821, 10899761462085, 478990330829233, 22910468287983121, 1184832950732237381, 65877062190857942981, 3918656527419803705729, 248317978064709144523521, 16699787528059828201246021
Offset: 0
Keywords
Programs
-
PARI
a(n) = n!*sum(k=0, n, (-3)^k*(k+1)^(n-k)*binomial(-1/3, k)/(n-k)!);
Formula
a(n) = n! * Sum_{k=0..n} (-3)^k * (k+1)^(n-k) * binomial(-1/3,k)/(n-k)!.