A037015 Reading binary expansion from right to left, run lengths strictly increase.

0, 1, 3, 6, 7, 14, 15, 28, 30, 31, 57, 60, 62, 63, 120, 121, 124, 126, 127, 241, 248, 249, 252, 254, 255, 483, 496, 497, 504, 505, 508, 510, 511, 966, 993, 995, 1008, 1009, 1016, 1017, 1020, 1022, 1987, 1990, 2016, 2017, 2019, 2032, 2033, 2040, 2041, 2044