a(n) = n*a(n-1) + n!, with n>0, a(0)=5.

Terms

a(0) =5a(1) =6a(2) =14a(3) =48a(4) =216a(5) =1200a(6) =7920a(7) =60480a(8) =524160a(9) =5080320a(10) =54432000a(11) =638668800a(12) =8143027200a(13) =112086374400