# Definition:Bell Number

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## Definition

The **Bell Numbers** $B_n$ are a sequence of natural numbers defined as the number of ways a set with $n$ elements can be partitioned.

### Sequence of Bell Numbers

The sequence of Bell numbers begins:

- $(1), 1, 2, 5, 15, 52, 203, 877, 4140, 21 \, 147, \ldots$

where the first $(1)$ is the zeroth **Bell number** $B_0$.

## Also see

- Results about
**Bell numbers**can be found here.

## Source of Name

This entry was named for Eric Temple Bell.