a(n) = ((n-th prime)^6-(n-th prime)^4)/24.

Terms

a(0) =2a(1) =27a(2) =625a(3) =4802a(4) =73205a(5) =199927a(6) =1002252a(7) =1954815a(8) =6156502a(9) =24754835a(10) =36940840a(11) =106827177a(12) =197803270a(13) =263247677a(14) =448930652a(15) =923186277a(16) =1757017345a(17) =2146105355a(18) =3768259627a(19) =5336453010a(20) =6304409502a(21) =10127021060a(22) =13620538127