===== Bernoulli numbers =====
==== Function ====
| @#FFBB00: definiendum | @#FFBB00: $B:\mathbb N\to\mathbb Q$ |

| @#FFFDDD: for all     | @#FFFDDD: $z\in \mathbb C$ |

| @#55EE55: postulate   | @#55EE55: $\frac{z}{\mathrm{e}^z-1}=\sum_{k=0}^\infty B_k\frac{1}{k!}z^k$ |

==== Discussion ====
=== Examples ===
$B_0=1$

$B_1=-\tfrac{1}{2}$

$B_2=\frac{1}{6}$

$B_4=-\frac{1}{30}$

$B_6=-\frac{1}{42}$
==== Parents ====
=== Subset of ===
[[Infinite series]], [[ℚ valued function]]