a(n) = prime(Lucas(n)), Lucas numbers beginning at 2 (A000032).

Terms

a(0) =3a(1) =2a(2) =5a(3) =7a(4) =17a(5) =31a(6) =61a(7) =109a(8) =211a(9) =383a(10) =677a(11) =1217a(12) =2137a(13) =3733a(14) =6521a(15) =11279a(16) =19463a(17) =33347a(18) =56963a(19) =97159a(20) =165443a(21) =280549a(22) =474809a(23) =801611a(24) =1351841a(25) =2273989a(26) =3821689a(27) =6412541a(28) =10742339a(29) =17974841