A069935 Maximal power of 2 that divides the n-th partition number.

1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 8, 1, 1, 1, 16, 1, 1, 1, 2, 1, 8, 2, 1, 1, 2, 4, 2, 2, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 4, 1, 2, 4, 4, 1, 1, 4, 1, 2, 2, 64, 1, 1, 1, 32, 1, 1, 1, 4, 8, 1, 1, 4, 2, 4, 1, 1, 1, 4, 1, 2, 1, 1, 1, 1, 1, 1, 1, 8, 1, 2048, 2, 8, 1, 4, 2, 1, 2, 1, 1, 16, 1