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

 * Equivalence of Definitions of Bernoulli Numbers