Definition:Bernoulli Numbers/Generating Function

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Definition

The Bernoulli numbers $B_n$ are a sequence of rational numbers defined by the exponential generating function:

$\displaystyle \frac x {e^x - 1} = \sum_{n \mathop = 0}^\infty \frac {B_n x^n} {n!}$


Also see

  • Results about the Bernoulli Numbers can be found here.


Sources