%I #5 Aug 10 2021 09:14:52
%S 1,2,768,4403012567040,384637545508886260255243527782400000000
%N Smallest number with n distinct positive cubic exponents in its prime factorization.
%F a(n) = Product_{k=1..n} prime(k)^((n-k+1)^3).
%e a(2)=768, which has a prime factorization of 2^8 * 3^1.
%t Table[Product[Prime[k]^((n - k + 1)^3), {k, 1, n}], {n, 0, 5}] (* _Vaclav Kotesovec_, Aug 10 2021 *)
%Y Subsequence of A025487.
%K nonn
%O 0,2
%A _Matthew Vandermast_, Nov 09 2009