A038033 a(n) = A000166(n-1)*n*(n-1).

6, 24, 180, 1320, 11130, 103824, 1067976, 12014640, 146845710, 1938363240, 27489515196, 416924313624, 6734931220290, 115455963776160, 2093601476474640, 40040128237577184, 805513168073611926

Offset: 3

Author

Christian G. Bower from a sequence by Erich Friedman

Keywords

• nonn
• easy

Crossrefs

Equals 6 * A000313(n+1).

Cf. A000240

Programs

Maple

a:=n->sum(n!*sum((-1)^k/k!, j=0..n), k=0..n): seq(a(n)*n, n=2..17); # Zerinvary Lajos, Dec 18 2007

Formula

E.g.f.: x^3/((1-x)^2*e^x)