Recurrent Relations for Multiple of Triangular Numbers being Triangular Numbers
Abstract
We search for triangular numbers that are multiples of other triangular numbers. It is found that for any positive nonsquare 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.
 Publication:

arXiv eprints
 Pub Date:
 December 2020
 arXiv:
 arXiv:2101.00998
 Bibcode:
 2021arXiv210100998P
 Keywords:

 Mathematics  Number Theory;
 11A25
 EPrint:
 11 pages, 2 Theorems, 2 Lemmas