auxiliary {randtoolbox}R Documentation

Auxiliary functions for 'randtoolbox' package.

Description

Stirling numbers of the second kind

Usage

stirling(n)

Arguments

n a positive integer.

Details

stirling computes stirling numbers of second kind i.e.

Stirl_n^k = k * Stirl_{n-1}^k + Stirl_{n-1}^{k-1}

with Stirl_n^1 = Stirl_n^n = 1. e.g. n = 0, returns 1 n = 1, returns c(0,1) n = 2, returns c(0,1,1) n = 3, returns c(0,1,3,1) n = 4, returns c(0,1,7,6,1)... Go to wikipedia for more details.

Value

a vector with stirling numbers.

Author(s)

Christophe Dutang.

See Also

choose for combination numbers.

Examples


# should be 1
stirling(0)

#  should be 0,1,7,6,1
stirling(4)

[Package randtoolbox version 1.05 Index]