Recurrent relations for triangular numbers multiples of other triangular numbers

Vladimir Pletser ()
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Vladimir Pletser: European Space Agency (ret.)

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 3, 782-791

Abstract: 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.

Keywords: Triangular numbers; Multiples of triangular numbers; Recurrent Relations; Primary 11A25; Secondary 11D09 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13226-021-00172-y

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