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
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.
@article{JIS_2015__18_6_a5,
author = {Holdum, Sebastian Tim and Klausen, Frederik Ravn and Rasmussen, Peter Michael Reichstein},
title = {On a conjecture on the representation of positive integers as the sum of three terms of the sequence \(\lfloor \frac{n^2}{a} \rfloor\)},
journal = {Journal of integer sequences},
year = {2015},
volume = {18},
number = {6},
zbl = {1332.11009},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_6_a5/}
}
TY - JOUR
AU - Holdum, Sebastian Tim
AU - Klausen, Frederik Ravn
AU - Rasmussen, Peter Michael Reichstein
TI - On a conjecture on the representation of positive integers as the sum of three terms of the sequence \(\lfloor \frac{n^2}{a} \rfloor\)
JO - Journal of integer sequences
PY - 2015
VL - 18
IS - 6
UR - http://geodesic.mathdoc.fr/item/JIS_2015__18_6_a5/
LA - en
ID - JIS_2015__18_6_a5
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%A Rasmussen, Peter Michael Reichstein
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%J Journal of integer sequences
%D 2015
%V 18
%N 6
%U http://geodesic.mathdoc.fr/item/JIS_2015__18_6_a5/
%G en
%F JIS_2015__18_6_a5
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/