Non-recursive expressions for even-index Bernoulli numbers: A remarkable sequence of determinants
arXiv:math/0505437
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.
Proof of article NT/0503160V1