A shortened recurrence relation for the Bernoulli numbers
Number Theory
2018-05-10 v1
Abstract
In this note, starting with a little-known result of Kuo, I derive a recurrence relation for the Bernoulli numbers , being any positive integer. This new recurrence seems advantageous in comparison to other known formulae since it allows the computation of both and from only .
Cite
@article{arxiv.1109.4694,
title = {A shortened recurrence relation for the Bernoulli numbers},
author = {F. M. S. Lima},
journal= {arXiv preprint arXiv:1109.4694},
year = {2018}
}
Comments
7 pages, no figures. Submitted to "J. Number Theory" (09/22/2011)