a(n) = Sum_{0 <= i < j <= n} (prime(j) - prime(i))^2, where prime(0) = 1.

Terms

a(0) =1a(1) =6a(2) =35a(3) =116a(4) =413a(5) =882a(6) =1855a(7) =3168a(8) =5369a(9) =9478a(10) =14387a(11) =22260a(12) =32605a(13) =44346a(14) =59231a(15) =79768a(16) =107145a(17) =137078a(18) =175579a(19) =220568a(20) =269045a(21) =329030a(22) =397583a(23) =480404a(24) =585001a(25) =701702a(26) =824771a(27) =961240a(28) =1104749a(29) =1263050