A048045 Number of nonempty subsets of {1,2,...,n} in which exactly 3/5 of the elements are <= (n+1)/3.

0, 0, 0, 0, 0, 0, 0, 10, 15, 21, 84, 112, 144, 360, 450, 550, 1430, 1815, 2275, 7735, 10192, 13230, 44100, 57680, 74256, 223720, 288456, 367080, 1105800, 1427850, 1824690, 5784240, 7521360, 9684840, 30936334, 40225735, 51798175