On sums of triangular numbers
Number Theory
2016-02-04 v1
Abstract
We study decompositions of natural numbers into triangular summands. For instance, we prove that any natural number can be represented as a sum of four triangular numbers, two of them having even indices and the other two having odd indices. This settles a conjecture by Zhi-Wei Sun (arXiv:1503.03743v8).
Keywords
Cite
@article{arxiv.1602.01133,
title = {On sums of triangular numbers},
author = {Dmitry Krachun},
journal= {arXiv preprint arXiv:1602.01133},
year = {2016}
}