a(n) = nextprime((2*n-1)^2) for n >= 2, a(1) = 3.

Terms

a(0) =3a(1) =11a(2) =29a(3) =53a(4) =83a(5) =127a(6) =173a(7) =227a(8) =293a(9) =367a(10) =443a(11) =541a(12) =631a(13) =733a(14) =853a(15) =967a(16) =1091a(17) =1229a(18) =1373a(19) =1523a(20) =1693a(21) =1861a(22) =2027a(23) =2213a(24) =2411a(25) =2609a(26) =2819a(27) =3037a(28) =3251a(29) =3491