Diophantine m-tuples of Triangular Numbers

Sounak Bagchi, Christian Zhou-Zheng

A $m$-tuple with the property $D(n)$ is a tuple of $m$ positive integers $(a_1,a_2,\dots ,a_m)$ such that $a_i{a}_j+n$ is an square, for $1\le i<j\le m$. The $k$th triangula…