A023496 a(n) = b(n) + d(n), where b(n) = (n-th Fibonacci number > 2) and d(n) = (n-th number that is 1 or is not a Lucas number).

4, 7, 13, 19, 29, 43, 65, 101, 157, 247, 392, 626, 1004, 1616, 2604, 4202, 6787, 10969, 17735, 28682, 46394, 75052, 121421, 196448, 317842, 514261, 832073, 1346303, 2178344, 3524614, 5702924, 9227503, 14930391, 24157857, 39088210