A366777 Expansion of e.g.f. -log(1 + x^3 * log(1 - x)).
0, 0, 0, 0, 24, 60, 240, 1260, 28224, 241920, 2181600, 21621600, 395176320, 5915669760, 87034409280, 1321166246400, 26242709391360, 529649632512000, 10741214992435200, 221702803264051200, 5187617452174233600, 128491776028533657600
Offset: 0
Keywords
Programs
-
PARI
a(n) = n!*sum(k=1, n\4, (k-1)!*abs(stirling(n-3*k, k, 1))/(n-3*k)!);
Formula
a(n) = n! * Sum_{k=1..floor(n/4)} (k-1)! * |Stirling1(n-3*k,k)|/(n-3*k)!.