2005arXiv (Cornell University)Open access

Explicit formula for even-index Bernoulli numbers

Renaat Van Malderen

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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.

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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.

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Available 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.

Key concepts: Bernoulli's principle, Index (typography), Mathematics, Mathematical economics, Computer science, Physics, World Wide Web, Thermodynamics

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