a(n) = gcd(n!, n^n, lcm(1, 2, ..., n)), or gcd(n^n, lcm(1, 2, ..., n)).

Terms

a(0) =1a(1) =2a(2) =3a(3) =4a(4) =5a(5) =12a(6) =7a(7) =8a(8) =9a(9) =40a(10) =11a(11) =72a(12) =13a(13) =56a(14) =45a(15) =16a(16) =17a(17) =144a(18) =19a(19) =80a(20) =63a(21) =176a(22) =23a(23) =144a(24) =25a(25) =208a(26) =27a(27) =112a(28) =29a(29) =10800