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

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

2005-05-20

arxiv.org/abs/math/0505437v1

Mathematics

Number Theory

Proof of article NT/0503160V1

Scientific paper

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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