• Corpus ID: 235727752

# Sums of triangular numbers and sums of squares

@inproceedings{Akbary2021SumsOT,
title={Sums of triangular numbers and sums of squares},
author={Amir Akbary and Zafer Selcuk Aygin},
year={2021}
}
• Published 2 July 2021
• Mathematics
For non-negative integers a, b, and n, let Npa, b;nq be the number of representations of n as a sum of squares with coefficients 1 or 3 (a of ones and b of threes). Let Npa, b;nq be the number of representations of n as a sum of odd squares with coefficients 1 or 3 (a of ones and b of threes). We have that Npa, b; 8n  a  3bq is the number of representations of n as a sum of triangular numbers with coefficients 1 or 3 (a of ones and b of threes). It is known that for a and b satisfying 1 ď a…

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