# Bernoulli Number

A Bernoulli number is one in a sequence of signed rational numbers that can be defined using a certain simple generating function. Bernoulli numbers are very important in number theory and analysis, and commonly arise in series expansions of trigonometric functions.

Bernoulli number is a college-level concept that would be first encountered in an analysis course.

### Prerequisites

Generating Function: | The generating function of a sequence of numbers is a formal power series whose coefficients are the members of that sequence. |