Non-recursive expressions for even-index Bernoulli numbers: A remarkable sequence of determinants
Number Theory
2007-05-23 v1
Abstract
Bernoulli numbers are usually expressed in terms of their lower index numbers (recursive). This paper gives explicit formulas for Bernoulli numbers of even index. The formulas contain a remarkable sequence of determinants. The value of these determinants for variable dimension is investigated.
Cite
@article{arxiv.math/0505437,
title = {Non-recursive expressions for even-index Bernoulli numbers: A remarkable sequence of determinants},
author = {Renaat Van Malderen},
journal= {arXiv preprint arXiv:math/0505437},
year = {2007}
}
Comments
Proof of article NT/0503160V1