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Recurrent relations for triangular numbers multiples of other triangular numbers

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Abstract

We search for triangular numbers that are multiples of other triangular numbers. 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 in function of two parameters. If the multiplier is a squared integer, there is either one or no solution, depending on the multiplier value.

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Authors and Affiliations

  1. European Space Agency (ret.), Noordwijk, The Netherlands

    Vladimir Pletser

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  1. Vladimir Pletser
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Correspondence to Vladimir Pletser.

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Communicated by B. Sury.

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Pletser, V. Recurrent relations for triangular numbers multiples of other triangular numbers. Indian J Pure Appl Math 53, 782–791 (2022). https://doi.org/10.1007/s13226-021-00172-y

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  • DOI: https://doi.org/10.1007/s13226-021-00172-y

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