A366777 - OEIS

%I #12 Dec 15 2023 09:10:20

%S 0,0,0,0,24,60,240,1260,28224,241920,2181600,21621600,395176320,

%T 5915669760,87034409280,1321166246400,26242709391360,529649632512000,

%U 10741214992435200,221702803264051200,5187617452174233600,128491776028533657600

%N Expansion of e.g.f. -log(1 + x^3 * log(1 - x)).

%F a(n) = n! * Sum_{k=1..floor(n/4)} (k-1)! * |Stirling1(n-3*k,k)|/(n-3*k)!.

%o (PARI) a(n) = n!*sum(k=1, n\4, (k-1)!*abs(stirling(n-3*k, k, 1))/(n-3*k)!);

%Y Cf. A052804, A366752.

%Y Cf. A368166.

%K nonn

%O 0,5

%A _Seiichi Manyama_, Dec 15 2023