a[n] =a[n-1] + 2*n*Prime[n]-n^2.

Terms

a(0) =0a(1) =8a(2) =29a(3) =69a(4) =154a(5) =274a(6) =463a(7) =703a(8) =1036a(9) =1516a(10) =2077a(11) =2821a(12) =3718a(13) =4726a(14) =5911a(15) =7351a(16) =9068a(17) =10940a(18) =13125a(19) =15565a(20) =18190a(21) =21182a(22) =24471a(23) =28167a(24) =32392a(25) =36968a(26) =41801a(27) =47009a(28) =52490a(29) =58370