A022802 a(n) = L(n+1) + c(n) where L(k) = k-th Lucas number and c(n) is n-th number that is 1 or not a Lucas number.
4, 6, 12, 17, 26, 38, 57, 88, 136, 213, 337, 537, 860, 1383, 2227, 3592, 5800, 9372, 15151, 24501, 39629, 64106, 103710, 167791, 271474, 439236, 710680, 1149885, 1860533, 3010385, 4870884, 7881234, 12752082, 20633279, 33385323, 54018563, 87403846
Offset: 1