2020/12/31 by Pletser, Vladimir
#11A25 #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2101.00998
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.