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

Terms

a(0) =2a(1) =7a(2) =15a(3) =31a(4) =51a(5) =83a(6) =119a(7) =171a(8) =231a(9) =307a(10) =395a(11) =503a(12) =627a(13) =755a(14) =919a(15) =1079a(16) =1271a(17) =1483a(18) =1703a(19) =1967a(20) =2215a(21) =2495a(22) =2795a(23) =3127a(24) =3479a(25) =3839a(26) =4267a(27) =4647a(28) =5059a(29) =5539