A048037 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, 0, 0, 0, 0, 0, 0, 13, 14, 15, 90, 96, 102, 357, 378, 399, 1064, 1120, 1176, 2646, 2772, 2898, 6049, 6324, 6600, 14850, 15587, 16335, 44550, 47124, 49764, 153439, 163020, 172887, 527527, 560560, 594594