# Problem 195: Inscribed circles of triangles with one angle of 60 degrees
Let's call an integer sided triangle with exactly one angle of 60
degrees a 60-degree triangle. Let r be the radius of the inscribed
circle of such a 60-degree triangle. There are 1234 60-degree triangles
for which r ≤ 100. Let T(n) be the number of 60-degree triangles for
which r ≤ n, so T(100) = 1234,  T(1000) = 22767, and  T(10000) = 359912.
Find T(1053779).