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math.NT2021
Triangular Numbers Multiple of Triangular Numbers and Solutions of Pell Equations
Vladimir Pletser
For all positive non-square integer multiplier k, there is an infinity of multiples of triangular numbers which are also triangular numbers. With a simple change of variables, thes…
math.NT2020★ 4 cited
Recurrent Relations for Multiple of Triangular Numbers being Triangular Numbers
Vladimir Pletser
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…