a(n) = b(n) + d(n), where b(n) = (n-th Lucas number > 1) and d(n) = (n-th non-Lucas number).

Terms

a(0) =5a(1) =9a(2) =13a(3) =19a(4) =27a(5) =39a(6) =59a(7) =89a(8) =137a(9) =214a(10) =338a(11) =538a(12) =862a(13) =1384a(14) =2228a(15) =3593a(16) =5801a(17) =9373a(18) =15152a(19) =24502a(20) =39630a(21) =64107a(22) =103712a(23) =167792a(24) =271475a(25) =439237a(26) =710681a(27) =1149886a(28) =1860534a(29) =3010386