a(n) = Lucas(prime(n)).

Terms

a(0) =3a(1) =4a(2) =11a(3) =29a(4) =199a(5) =521a(6) =3571a(7) =9349a(8) =64079a(9) =1149851a(10) =3010349a(11) =54018521a(12) =370248451a(13) =969323029a(14) =6643838879a(15) =119218851371