a(n) = ((n-th prime)^6-(n-th prime)^4)/12.

Terms

a(0) =4a(1) =54a(2) =1250a(3) =9604a(4) =146410a(5) =399854a(6) =2004504a(7) =3909630a(8) =12313004a(9) =49509670a(10) =73881680a(11) =213654354a(12) =395606540a(13) =526495354a(14) =897861304a(15) =1846372554a(16) =3514034690a(17) =4292210710a(18) =7536519254a(19) =10672906020a(20) =12608819004a(21) =20254042120a(22) =27241076254