# Problem 292: Pythagorean Polygons
We shall define a pythagorean polygon to be a convex polygon with the
following properties:there are at least three vertices, no three
vertices are aligned, each vertex has integer coordinates, each edge has
integer length.For a given integer n, define P(n) as the number of
distinct pythagorean polygons for which the perimeter is ≤ n.
Pythagorean polygons should be considered distinct as long as none is a
translation of another. You are given that P(4) = 1, P(30) = 3655 and
P(60) = 891045. Find P(120).