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a(n) = A000166(n-1)*n*(n-1).
0

%I #9 Sep 04 2017 04:31:41

%S 6,24,180,1320,11130,103824,1067976,12014640,146845710,1938363240,

%T 27489515196,416924313624,6734931220290,115455963776160,

%U 2093601476474640,40040128237577184,805513168073611926

%N a(n) = A000166(n-1)*n*(n-1).

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

%p 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

%Y Equals 6 * A000313(n+1).

%Y Cf. A000240

%K nonn,easy

%O 3,1

%A _Christian G. Bower_ from a sequence by _Erich Friedman_