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arXiv · 2101.00998

Recurrent Relations for Multiple of Triangular Numbers being Triangular Numbers

Vladimir Pletser
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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.

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Vladimir Pletser. 2020-12-31. Recurrent Relations for Multiple of Triangular Numbers being Triangular Numbers. https://arxiv.org/abs/2101.00998

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