Geodesic
On a conjecture on the representation of positive integers as the sum of three terms of the sequence $\lfloor \frac{n^2}{a} \rfloor$
Journal of integer sequences, Tome 18 (2015) no. 6.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We prove some cases of a conjecture by Farhi on the representation of every positive integer as the sum of three terms of the sequence $\lfloor n^{2}/a \rfloor $. This is done by generalizing a method used by Farhi in his original paper.
Classification : 11B13
Keywords: additive base, Legendre's theorem 
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     title = {On a conjecture on the representation of positive integers as the sum of three terms of the sequence $\lfloor \frac{n^2}{a} \rfloor$},
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Holdum, Sebastian Tim; Klausen, Frederik Ravn; Rasmussen, Peter Michael Reichstein. On a conjecture on the representation of positive integers as the sum of three terms of the sequence $\lfloor \frac{n^2}{a} \rfloor$. Journal of integer sequences, Tome 18 (2015) no. 6. http://geodesic.mathdoc.fr/item/JIS_2015__18_6_a5/