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

Terms

a(0) =10a(1) =120a(2) =2600a(3) =19600a(4) =295240a(5) =804440a(6) =4022880a(7) =7840920a(8) =24672560a(9) =99137080a(10) =147917120a(11) =427620840a(12) =791683760a(13) =1053560200a(14) =1796535520a(15) =3694059720a(16) =7030088360a(17) =8586728440a(18) =15076396280a(19) =21350046480a(20) =25222370160a(21) =40514574880