a(n) = gcd(d(n!^3), d(n!)), where d() is the number of divisors function.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =2a(6) =4a(7) =32a(8) =32a(9) =10a(10) =20a(11) =8a(12) =16a(13) =32a(14) =448a(15) =448a(16) =1792a(17) =32a(18) =64a(19) =80a(20) =3200a(21) =1280a(22) =2560a(23) =320a(24) =448a(25) =1792a(26) =25088a(27) =101920a(28) =203840a(29) =128