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

bellNumbers(n)

Parameters

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

Returns

Type Description
Number | BigNumber B(n)

Examples

bellNumbers(3); // returns 5;
bellNumbers(8); // returns 4140;

See also

stirlingS2