Recurrent Relations for Multiple of Triangular Numbers being Triangular Numbers
Number Theory
2021-01-05 v1
Abstract
We search for triangular numbers that are multiples of other triangular numbers. It is found that for any positive non-square integer multiplier, there is an infinity of multiples of triangular numbers that are triangular numbers and recurrent relations are deduced theoretically. If the multiplier is a squared integer, there is either one or no solution, depending on the multiplier value.
Keywords
Cite
@article{arxiv.2101.00998,
title = {Recurrent Relations for Multiple of Triangular Numbers being Triangular Numbers},
author = {Vladimir Pletser},
journal= {arXiv preprint arXiv:2101.00998},
year = {2021}
}
Comments
11 pages, 2 Theorems, 2 Lemmas