[1/6, 1/12, 1/20, 1/30, 1/42, 1/56, 1/72, 1/90, 1/110, 1/132]
5/12
147620
[1/6, 1/4, 3/10, 1/3, 5/14, 3/8, 7/18, 2/5, 9/22, 5/12]
[15, 60, 195, 600, 1815, 5460, 16395, 49200, 147615, 442860, 1328595, 3985800, 11957415, 35872260, 107616795, 322850400, 968551215, 2905653660, 8716960995, 26150883000, 78452649015, 235357947060, 706073841195, 2118221523600, 6354664570815]