Hello,

I have an equation such as this. I do not have a Math background in my education, but I can read and understand Math pretty quickly. If I could be pointed to the right topics to solve this equation, it would be great. I want non-negative, integral solutions for the $a_i$'s Also, s is a given integer.

$\displaystyle\sum\limits_{i=2}^{n-1} a_i* {i \choose 2} = s$

Besides I have an added constraint : $\displaystyle\sum\limits_{i=2}^{n-1} i* a_i = n$ for any solution set {$a_i$}

I know its linear diophantine equation. But I am just wondering if there is any material which deals with this combinatorial diophantine equation straightaway. Otherwise, I have ventured into reading the basics of number theory before I can start reading papers that deal with Linear Diophantine Equations in `n`

variables.

Thank you,

Mahesh Narayanamurthi