Mathematica Eterna
Open Access

Abstract

A Short Proof for k-Gon Partitions

Alina F.Y. Zhao

A k-gon partition is a non-decreasing sequence of k positive integers such that the last element is less than the sum of the others. By considering non-k-gon partitions, we derive the multivariable generating function for k-gon partitions, as given by Andrews, Paule and Riese.