mathjs/docs/reference/functions/bellNumbers.md

Function bellNumbers

The Bell Numbers count the number of partitions of a set. A partition is a pairwise disjoint subset of S whose union is S. bellNumbers only takes integer arguments. The following condition must be enforced: n >= 0

Syntax

math.bellNumbers(n)

Parameters

Parameter	Type	Description
n	Number | BigNumber	Total number of objects in the set

Returns

Type	Description
Number | BigNumber	B(n)

Examples

math.bellNumbers(3) // returns 5
math.bellNumbers(8) // returns 4140

See also

stirlingS2