a(1)=2; a(n)=ceiling(n*(a(n-1)-1/a(n-1))).

Terms

a(0) =2a(1) =3a(2) =8a(3) =32a(4) =160a(5) =960a(6) =6720a(7) =53760a(8) =483840a(9) =4838400a(10) =53222400a(11) =638668800a(12) =8302694400a(13) =116237721600