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Bernoulli numbers Bn are a sequence of rational numbers which occur frequently in number theory.

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.

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