# Definition:Bernoulli Numbers/Generating Function

## 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.