a(n) = ((n-th prime)^6-(n-th prime^2))/3.

Terms

a(0) =20a(1) =240a(2) =5200a(3) =39200a(4) =590480a(5) =1608880a(6) =8045760a(7) =15681840a(8) =49345120a(9) =198274160a(10) =295834240a(11) =855241680a(12) =1583367520a(13) =2107120400a(14) =3593071040a(15) =7388119440a(16) =14060176720a(17) =17173456880a(18) =30152792560a(19) =42700092960a(20) =50444740320