A047170 Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= n/2.

0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 36, 42, 147, 168, 448, 504, 1134, 1260, 2565, 2827, 5687, 6270, 13860, 15444, 39039, 44044, 119119, 135135, 360815, 408968, 1039808, 1174224, 2842604