Definition:Bernoulli Numbers/Recurrence Relation

Definition
The Bernoulli numbers $B_n$ are a sequence of rational numbers defined by the recurrence relation:
 * $B_0 = 1; \ \displaystyle B_n = - \sum_{k \mathop = 0}^{n-1} \binom {n} {k} \frac {B_k} {n - k + 1}$

Also see

 * Equivalence of Definitions of Bernoulli Numbers