A057923 a(0)=0, a(1)=2, a(n) = smallest number such that sequence b(n) = {a(n-1) BITWISE OR a(n)} is strictly monotonically increasing.

0, 2, 1, 4, 2, 5, 8, 6, 9, 16, 10, 17, 12, 18, 13, 32, 14, 33, 16, 34, 17, 36, 18, 37, 24, 38, 25, 64, 26, 65, 28, 66, 29, 96, 30, 97, 128, 98, 129, 100, 130, 101, 136, 102, 137, 112, 138, 113, 140, 114, 141, 256, 142, 257, 144, 258, 145, 260, 146, 261, 152, 262, 153