A048092 Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n+3)/3.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 8, 9, 54, 60, 66, 231, 252, 273, 728, 784, 840, 1890, 2016, 2142, 4420, 4689, 4959, 10659, 11330, 12012, 30492, 32670, 34914, 101959, 109824, 117975, 350350, 377377, 405405, 1138059, 1222494