a(n) = n!/d where d = A336616(n) is the maximum divisor of n! with distinct prime multiplicities.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =1a(5) =3a(6) =1a(7) =5a(8) =5a(9) =5a(10) =1a(11) =7a(12) =7a(13) =77a(14) =275a(15) =11a(16) =11a(17) =143a(18) =143a(19) =2431a(20) =2431a(21) =2431a(22) =221a(23) =4199a(24) =4199a(25) =4199a(26) =39083a(27) =39083a(28) =39083a(29) =898909