Intersecting Polygon

A polygon with n 3 n \ge 3 vertices has the following edges: P 1 P 2 , P 2 P 3 , , P n P 1 P_1P_2, P_2P_3 , \dots , P_n P_1

Let A n A_n denote the maximal amount of intersections of those edges, if no two of them lie on the same line.

Compute A 2015 + A 2016 A_{2015}+ A_{2016} .


The answer is 4055187.

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