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

3,1

Links

Table of n, a(n) for n=3..19.

Formula

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

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

Crossrefs

Equals 6 * A000313(n+1).

Cf. A000240

Sequence in context: A349498 A200904 A293488 * A064049 A336267 A018981

Adjacent sequences: A038030 A038031 A038032 * A038034 A038035 A038036

Keyword

nonn,easy

Author

Christian G. Bower from a sequence by Erich Friedman

Status

approved