%I #16 Dec 15 2023 09:10:07
%S 0,0,0,6,24,60,480,5250,40656,363384,4839120,65198430,859543080,
%T 13311494196,233478687624,4190929145130,79746180437280,
%U 1667320408619760,36965002127643936,854734007793179574,20962277675893792440,544839141515795731500
%N Expansion of e.g.f. -log(1 - x^3 * exp(x)).
%F a(n) = n! * Sum_{k=1..floor(n/3)} k^(n-3*k-1)/(n-3*k)!.
%o (PARI) a(n) = n!*sum(k=1, n\3, k^(n-3*k-1)/(n-3*k)!);
%Y Cf. A009444, A366459.
%Y Cf. A292889, A346754, A358081.
%K nonn
%O 0,4
%A _Seiichi Manyama_, Dec 14 2023
|