a(n) = n! * LaguerreL(n, -n+2).

Terms

a(0) =1a(1) =0a(2) =2a(3) =34a(4) =648a(5) =14988a(6) =414160a(7) =13373190a(8) =495057024a(9) =20686611736a(10) =963532779264