A039677 Partial sums of Fibonacci-lucky numbers.

1, 3, 7, 12, 19, 29, 40, 53, 69, 88, 108, 131, 156, 184, 213, 245, 282, 320, 360, 401, 450, 500, 552, 608, 666, 725, 786, 851, 919, 993, 1069, 1146, 1228, 1311, 1397, 1485, 1576, 1673, 1774, 1877, 1981, 2087, 2202, 2320, 2441, 2563, 2687, 2817, 2948, 3081