Explicit formula for even-index Bernoulli numbers
Renaat Van Malderen
Abstract
Open-access reader
Renaat Van Malderen
Abstract
Open-access reader
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.
Key concepts: Bernoulli's principle, Index (typography), Mathematics, Mathematical economics, Computer science, Physics, World Wide Web, Thermodynamics