Euler transform of n!.

Terms

a(0) =1a(1) =1a(2) =3a(3) =9a(4) =36a(5) =168a(6) =961a(7) =6403a(8) =49302a(9) =430190a(10) =4199279a(11) =45326013a(12) =535867338a(13) =6884000262a(14) =95453970483