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Recurrent Relations for Multiple of Triangular Numbers being Triangular Numbers

@inproceedings{Pletser2020RecurrentRF,
title={Recurrent Relations for Multiple of Triangular Numbers being Triangular Numbers},
year={2020}
}
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.
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