stirling2 {ConsRank} | R Documentation |

## Stirling numbers of the second kind

### Description

Denote the number of ways to partition a set of n objects into k non-empty subsets

### Usage

```
stirling2(n, k)
```

### Arguments

`n` |
(integer): the number of the objects |

`k` |
(integer <=n): the number of the non-empty subsets (buckets) |

### Value

a "list" containing the following components:

S | the stirling number of the second kind | |

SM | a matrix showing, for each k (on the columns) in how many ways the n objects (on the rows) can be partitioned |

### Author(s)

Antonio D'Ambrosio antdambr@unina.it

### References

Comtet, L. (1974). Advanced Combinatorics: The art of finite and infinite expansions. D. Reidel, Dordrecth, The Netherlands.

### Examples

```
parts<-stirling2(4,2)
```

[Package

*ConsRank*version 2.1.4 Index]