a(n) = a(n-1) + 1 + prime(n), with a(1) = 1.

Terms

a(0) =1a(1) =4a(2) =8a(3) =14a(4) =22a(5) =34a(6) =48a(7) =66a(8) =86a(9) =110a(10) =140a(11) =172a(12) =210a(13) =252a(14) =296a(15) =344a(16) =398a(17) =458a(18) =520a(19) =588a(20) =660a(21) =734a(22) =814a(23) =898a(24) =988a(25) =1086a(26) =1188a(27) =1292a(28) =1400a(29) =1510