Euler transform of (n+1)!.

Terms

a(0) =1a(1) =2a(2) =9a(3) =40a(4) =212a(5) =1248a(6) =8400a(7) =63576a(8) =540858a(9) =5132564a(10) =53952742a(11) =623324184a(12) =7855144818a(13) =107224120980