On a conjecture of Sun

Srilakshmi Krishnamoorthy, Abinash Sarma

A number of the form $x(x+1)/2$ where $x$ is an integer is called a triangular number. Suppose, $N(a_1,\cdots ,a_k;n)$ and $T(a_1,\cdots ,a_k;n)$ denote the number of ways $n$ can be…