a(n) = (prime(n)^2 + prime(n+1))/2.

Terms

a(0) =7a(1) =16a(2) =30a(3) =67a(4) =93a(5) =154a(6) =192a(7) =279a(8) =436a(9) =499a(10) =705a(11) =862a(12) =948a(13) =1131a(14) =1434a(15) =1771a(16) =1894a(17) =2280a(18) =2557a(19) =2704a(20) =3162a(21) =3489a(22) =4009a(23) =4755a(24) =5152a(25) =5358a(26) =5779a(27) =5997a(28) =6448a(29) =8130