A051574 a(n) = number of k, 1<=k<=n, such that n*k) divides binomial(n,k).

1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 3, 1, 3, 1, 1, 1, 3, 1, 5, 3, 2, 1, 1, 1, 2, 2, 2, 4, 7, 1, 2, 2, 5, 6, 3, 1, 6, 3, 2, 1, 4, 1, 2, 1, 2, 2, 2, 1, 4, 5, 9, 5, 8, 4, 7, 3, 9, 6, 8, 2, 6, 3, 1, 4, 11, 5, 9, 4, 5, 1, 4, 1, 7, 4, 2, 4, 8, 3, 4, 1, 6, 11, 15, 3, 7, 5, 4, 5, 9, 1, 5, 3, 2, 2, 1, 1, 4, 2, 7, 7, 19, 8