Definition:Bell Number/Sequence

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Definition

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 $B_0$.

This sequence is A000110 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).