A382701 Expansion of e.g.f. -log(1 - x)^3 * exp(3*x) / 6.
0, 0, 0, 1, 18, 215, 2205, 21469, 209356, 2111318, 22448130, 254297241, 3083362326, 40046861205, 556384764663, 8248646054349, 130120383122136, 2177629350914412, 38552967519050628, 720104832324072081, 14154891429467595258, 292132391046470467443, 6316572474787017069297
Offset: 0
Keywords
Programs
-
PARI
a(n) = sum(k=3, n, 3^(n-k)*binomial(n, k)*abs(stirling(k, 3, 1)));
Formula
a(n) = Sum_{k=3..n} 3^(n-k) * binomial(n,k) * |Stirling1(k,3)|.