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Explicit formula for even-index Bernoulli numbers

Number Theory 2007-05-23 v1

Abstract

Bernoulli numbers are usually expressed in terms of their lower index numbers (recursive). This paper gives an explicit formula for Bernoulli numbers of even index. The formula contains a remarkable sequence of determinants.

Keywords

Cite

@article{arxiv.math/0503160,
  title  = {Explicit formula for even-index Bernoulli numbers},
  author = {Renaat Van Malderen},
  journal= {arXiv preprint arXiv:math/0503160},
  year   = {2007}
}

Comments

short paper