A381065 Expansion of e.g.f. -log(1-x)^3 * exp(-x) / 6.
0, 0, 0, 1, 2, 15, 85, 609, 4844, 43238, 427090, 4630241, 54683046, 699012093, 9617979007, 141755256889, 2228396376088, 37221746535564, 658390407698084, 12295201090394017, 241749652842156074, 4992277083472634507, 108032799218176059337, 2444797394606939402449
Offset: 0
Keywords
Programs
-
PARI
a(n) = sum(k=0, n, (-1)^(n-k)*binomial(n, k)*abs(stirling(k, 3, 1)));
Formula
a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n,k) * |Stirling1(k,3)|.