1.0 KiB
1.0 KiB
Function stirlingS2
The Stirling numbers of the second kind, counts the number of ways to partition a set of n labelled objects into k nonempty unlabelled subsets. stirlingS2 only takes integer arguments. The following condition must be enforced: k <= n.
If n = k or k = 1 <= n, then s(n,k) = 1 If k = 0 < n, then s(n,k) = 0
Note that if either n or k is supplied as a BigNumber, the result will be as well.
Syntax
math.stirlingS2(n, k)
Parameters
| Parameter | Type | Description |
|---|---|---|
n |
Number | BigNumber | Total number of objects in the set |
k |
Number | BigNumber | Number of objects in the subset |
Returns
| Type | Description |
|---|---|
| Number | BigNumber | S(n,k) |
Throws
| Type | Description |
|---|
Examples
math.stirlingS2(5, 3) //returns 25