Non-recursive expressions for even-index Bernoulli numbers: A remarkable sequence of determinants

Renaat Van Malderen · arXiv (Cornell University) · 2005

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.

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