Geodesic
A Result on Sums of Squares
Canadian mathematical bulletin, Tome 18 (1975) no. 3, pp. 425-426

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In this note we give an elementary proof of the following.Let be an integer. n≥1 Then, every positive even integer less than or equal to n(n2—1)/3 can be expressed as a sum ofn squares of integers from the set {0, 1, 2, ..., n - 1}. 
Davison, J. L. A Result on Sums of Squares. Canadian mathematical bulletin, Tome 18 (1975) no. 3, pp. 425-426. doi: 10.4153/CMB-1975-078-1
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