English

An alternative recursive formula for the sums of powers of integers

Combinatorics 2021-03-09 v2

Abstract

In this note, we derive an alternative recursive formula for the sums of powers of integers involving the Stirling numbers of the first kind. As a remarkable by-product, we provide a non-recursive definition of the Catalan numbers.

Keywords

Cite

@article{arxiv.1510.00731,
  title  = {An alternative recursive formula for the sums of powers of integers},
  author = {José Luis Cereceda},
  journal= {arXiv preprint arXiv:1510.00731},
  year   = {2021}
}

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6 pages