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mathematical analysis > combinatorics > Bernoulli number
algebra > combinatorics > Bernoulli number

Preferred term

Bernoulli number  

Definition

  • In mathematics, the Bernoulli numbers Bn are a sequence of rational numbers which occur frequently in analysis. The Bernoulli numbers appear in (and can be defined by) the Taylor series expansions of the tangent and hyperbolic tangent functions, in Faulhaber's formula for the sum of m-th powers of the first n positive integers, in the Euler–Maclaurin formula, and in expressions for certain values of the Riemann zeta function.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Bernoulli_number)

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URI

http://data.loterre.fr/ark:/67375/PSR-GTLRXKFD-9

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