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On a Conjecture on the Representation of Positive Integers as the Sum of Three Terms of the Sequence ⌊ ***n*^{2}/*a* ⌋

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Sebastian Tim Holdum

Niels Bohr Institute

University of Copenhagen

Denmark

Frederik Ravn Klausen and Peter Michael Reichstein Rasmussen

Department of Mathematics

University of Copenhagen

Denmark

**Abstract:**

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
⌊ *n*^{2}/*a* ⌋.
This is done by generalizing a method used by Farhi in
his original paper.

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Received
September 29 2014; revised version received March 5 2015; May 19 2015.
Published in *Journal of Integer Sequences*, May 31 2015.

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