Convolution of Lucas numbers and positive integers repeated (A000032 and A008619).

Terms

a(0) =2a(1) =3a(2) =8a(3) =13a(4) =25a(5) =41a(6) =71a(7) =116a(8) =193a(9) =314a(10) =514a(11) =834a(12) =1356a(13) =2197a(14) =3562a(15) =5767a(16) =9339a(17) =15115a(18) =24465a(19) =39590a(20) =64067a(21) =103668a(22) =167748a(23) =271428a(24) =439190a(25) =710631a(26) =1149836a(27) =1860481a(28) =3010333a(29) =4870829