A047200 Number of nonempty subsets of {1,2,...,n} in which exactly 3/5 of the elements are <= n/3.

0, 0, 0, 0, 0, 0, 0, 0, 15, 21, 28, 112, 144, 180, 450, 550, 660, 1815, 2275, 2821, 10192, 13230, 16940, 57680, 74256, 94248, 288456, 367080, 461700, 1427850, 1824690, 2310000, 7521360, 9684840, 12357532, 40225735, 51798175, 66098175