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math.GM2021
Congruence Properties of Indices of Triangular Numbers Multiple of Other Triangular Numbers
Vladimir Pletser
It is known that, for any positive non-square integer multiplier , there is an infinity of multiples of triangular numbers which are triangular numbers. We analyze the congruenc…
math.GM2021
Closed Form Equations for Triangular Numbers Multiple of Other Triangular Numbers
Vladimir Pletser
Triangular numbers that are multiple of other triangular numbers are investigated. It is known that for any positive non-square integer multiplier, there is an infinity of multiple…
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…