Compute the Bell numbers

This function computes the Bell numbers, which is the summ of Stirling numbers of the second kind, \(S(n, k)\), over \(k = 1,\ldots, n\), i.e. $$B_n = \sum_{k=1}^{n}S(n, k),n \ge 1$$

Bell(n)

Arguments

n

A vector of one or more non-zero positive integers

Value

An vector of Bell numbers

See also

Stirling2

Author

James Curran

Examples


## returns B(6)
Bell(6)
#> [1] 203

## returns B(1), B(2), ..., B(6)
B(1:6)
#> [1]   1   2   5  15  52 203