A035061 Numbers n such that 2^n does not contain the digit 6 (probably finite).

1, 2, 3, 5, 7, 9, 10, 11, 13, 17, 19, 21, 22, 25, 27, 30, 33, 37, 39, 41, 45, 47, 53, 54, 57, 90, 93