a(n) = Sum_{i=1..n} (-1)^(i+1) prime(i)^3.

Terms

a(0) =0a(1) =8a(2) =-19a(3) =106a(4) =-237a(5) =1094a(6) =-1103a(7) =3810a(8) =-3049a(9) =9118a(10) =-15271a(11) =14520a(12) =-36133a(13) =32788a(14) =-46719a(15) =57104a(16) =-91773a(17) =113606a(18) =-113375a(19) =187388a(20) =-170523a(21) =218494a(22) =-274545a(23) =297242a(24) =-407727a(25) =504946