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n^2 + (n+ 1)^2 is square of integer, n <200

Source: Nordic Mathematical Contest 1994 #4

October 4, 2017
number theoryPerfect SquareIntegerPell equations

Problem Statement

Determine all positive integers n<200n < 200, such that n2+(n+1)2n^2 + (n+ 1)^2 is the square of an integer.
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