Finite Summation = Perfect Square

Number Theory Level 5

Find the sum of all positive integers n≤1000n\leq 1000 such that the double sum ∑i=1n∑j=1n(i−j)2\begin{aligned} \sum_{i=1}^n\sum_{j=1}^n (i-j)^2 \end{aligned} is a perfect square.

Russelle Guadalupe by Russelle Guadalupe
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