English

On a new formula for the number of unrestricted partitions

Combinatorics 2019-06-27 v1

Abstract

In this paper we present a new formula for the number of unrestricted partitions of nn. We do this by introducing a correspondence between the number of unrestrited partitions of nn and the number of non-negative solutions of systems of two equations, involving natural numbers in the interval (1 ,n2,n^{2}).

Keywords

Cite

@article{arxiv.1906.11093,
  title  = {On a new formula for the number of unrestricted partitions},
  author = {Hemar Godinho and José Plínio O. Santos},
  journal= {arXiv preprint arXiv:1906.11093},
  year   = {2019}
}