A115247 2^a(n) divides A001935(n) but 2^(a(n)+1) does not.

0, 0, 1, 0, 2, 1, 0, 2, 4, 1, 0, 1, 1, 6, 1, 0, 2, 1, 4, 1, 6, 0, 2, 4, 1, 2, 2, 8, 0, 1, 1, 2, 1, 4, 6, 1, 0, 3, 4, 1, 2, 7, 1, 6, 1, 0, 1, 4, 6, 2, 1, 1, 2, 1, 1, 0, 1, 1, 8, 2, 4, 2, 6, 4, 3, 1, 0, 2, 4, 7, 3, 1, 1, 4, 1, 1, 6, 1, 0, 2, 1, 2, 1, 6, 1, 2, 4, 2, 7, 8, 6, 0, 2, 4, 2, 1, 1, 6, 4, 4