a(n) = Lucas(n+1) + prime(n).

Terms

a(0) =5a(1) =7a(2) =12a(3) =18a(4) =29a(5) =42a(6) =64a(7) =95a(8) =146a(9) =228a(10) =353a(11) =558a(12) =884a(13) =1407a(14) =2254a(15) =3624a(16) =5837a(17) =9410a(18) =15194a(19) =24547a(20) =39676a(21) =64158a(22) =103765a(23) =167850a(24) =271540a(25) =439305a(26) =710750a(27) =1149958a(28) =1860607a(29) =3010462