A048002 Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= n/3.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 11, 12, 72, 78, 84, 294, 315, 336, 896, 952, 1008, 2268, 2394, 2520, 5230, 5502, 5775, 12705, 13409, 14124, 37224, 39600, 42042, 126412, 135135, 144144, 434434, 464464, 495495, 1400455