This problem is looking for the number of vertices on the hexagonal grid inside the circle of radius r. The center of the hexagon is not counted as a point for this problem, and this is true for every hexagon inside the circle.
Tic Tac Toe FTW
Project Euler: Problem 16, Sums of Digits of Powers of Two
Bottles of beer
Find best domino orientation
Edges of a n-dimensional Hypercube
Generalized Laguerre polynomials
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