A099312 Exponent of greatest power of 2 dividing the n-th minimal number.

0, 1, 2, 1, 2, 4, 3, 2, 4, 2, 6, 3, 4, 2, 6, 4, 3, 6, 4, 3, 2, 6, 10, 2, 4, 4, 3, 6, 10, 4, 12, 4, 6, 2, 4, 6, 3, 10, 5, 12, 6, 4, 10, 6, 4, 6, 3, 4, 12, 2, 4, 10, 6, 5, 4, 6, 12, 16, 10, 3, 6, 10, 5, 6, 4, 4, 6, 12, 16, 6, 4, 10, 6, 18, 4, 10, 12, 5, 5, 10, 12, 4, 5, 16