3 and -3 are both 4th powers (one implies other) mod these primes p=1 mod 8.

Terms

a(0) =193a(1) =313a(2) =433a(3) =577a(4) =601a(5) =673a(6) =769a(7) =937a(8) =1201a(9) =1297a(10) =1321a(11) =1657a(12) =1801a(13) =1993a(14) =2137a(15) =2473a(16) =2521a(17) =2593a(18) =2833a(19) =2953a(20) =3169a(21) =3529a(22) =3673a(23) =3697a(24) =3769a(25) =3889a(26) =4057a(27) =4129a(28) =4153a(29) =4297