2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75258Bernoulli 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/0503160V1Number Theory11Bxxtext