Matthias Beck, Ira M. Gessel, and Takao Komatsu

*Abstract.* Given a set of positive integers A = { a_{1}, ... , a_{n} },
we study the number p_{A} (t) of nonnegative integer solutions
( m_{1}, ... , m_{n} ) to m_{1} a_{1} + ... + m_{n} a_{n} = t.
We derive an explicit formula for the polynomial part of p_{A}.

Here's the complete paper: pdf, postscript.

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