a(n) = ((n-th prime)^6-(n-th prime^2))/5.

Terms

a(0) =12a(1) =144a(2) =3120a(3) =23520a(4) =354288a(5) =965328a(6) =4827456a(7) =9409104a(8) =29607072a(9) =118964496a(10) =177500544a(11) =513145008a(12) =950020512a(13) =1264272240a(14) =2155842624a(15) =4432871664a(16) =8436106032a(17) =10304074128a(18) =18091675536a(19) =25620055776a(20) =30266844192a(21) =48617489856