: Mathématiques: Bernoulli number

mathematical analysis > calculus > sequence > integer sequence > Bernoulli number

mathematical analysis > combinatorics > Bernoulli number

algebra > combinatorics > Bernoulli number

Bernoulli number

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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