a(n) = n*a(n-1) + 1, a(0) = 2.

Terms

a(0) =2a(1) =3a(2) =7a(3) =22a(4) =89a(5) =446a(6) =2677a(7) =18740a(8) =149921a(9) =1349290a(10) =13492901a(11) =148421912a(12) =1781062945a(13) =23153818286a(14) =324153456005