A117971 Position of first 2 counting from the least significant digit in the ternary expansion of 2^n.

1, 0, 1, 2, 1, 4, 1, 0, 1, 2, 1, 3, 1, 3, 1, 2, 1, 5, 1, 8, 1, 2, 1, 11, 1, 11, 1, 2, 1, 3, 1, 3, 1, 2, 1, 4, 1, 4, 1, 2, 1, 5, 1, 4, 1, 2, 1, 3, 1, 3, 1, 2, 1, 6, 1, 8, 1, 2, 1, 4, 1, 7, 1, 2, 1, 3, 1, 3, 1, 2, 1, 12, 1, 7, 1, 2, 1, 6, 1, 10, 1, 2, 1, 3, 1, 3, 1, 2, 1, 4, 1, 4, 1, 2, 1, 6, 1, 4, 1, 2, 1, 3, 1