For a number n, consider all permutation of digits. Select the number divisible by the highest power of 2, formed by one of the permutations. The sequence is, with offset 1 as follows: 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,12,22,32,24,52,26,72,28,92,30,13,32,33,34,35... Would this be nice to add to the OEIS?