A023497 a(n) = b(n) + d(n), where b(n) = (n-th Lucas number > 3) and d(n) = (n-th number that is 1 or is not a Lucas number).
5, 9, 16, 24, 37, 56, 86, 135, 212, 336, 536, 859, 1381, 2226, 3591, 5799, 9371, 15150, 24500, 39628, 64105, 103709, 167789, 271473, 439235, 710679, 1149884, 1860532, 3010384, 4870883, 7881233, 12752081, 20633278, 33385322
Offset: 0