A030311 Least k such that base 2 representation of n begins at s(k), where s=A030308.

1, 1, 3, 5, 1, 4, 3, 17, 5, 9, 1, 4, 8, 3, 13, 49, 17, 22, 5, 31, 9, 38, 1, 16, 4, 8, 37, 3, 29, 14, 13, 129, 49, 55, 17, 66, 22, 5, 33, 87, 31, 75, 9, 106, 38, 1, 11, 48, 16, 21, 4, 30, 8, 37, 40, 15, 3, 29, 36, 14, 84, 13, 43, 321, 129, 136, 49