MathDB
max no of lattice points that covers a square of side n +1/(2n+1)

Source: Danube 2012 p1

July 22, 2019
lattice pointssquarecoveringcombinatorial geometrycombinatorics

Problem Statement

Given a positive integer nn, determine the maximum number of lattice points in the plane a square of side length n+12n+1n +\frac{1}{2n+1} may cover.