Enumerate the partitions of an integer

Determine all unrestricted partitions of an integer. This function is equivalent to the function parts in the partitions package.

partitions(n)

Arguments

n	an integer

Value

a matrix whose rows are the n-tuples

Examples

partitions(5)
#>      [,1] [,2] [,3] [,4] [,5]
#> [1,]    5    0    0    0    0
#> [2,]    4    1    0    0    0
#> [3,]    3    2    0    0    0
#> [4,]    3    1    1    0    0
#> [5,]    2    2    1    0    0
#> [6,]    2    1    1    1    0
#> [7,]    1    1    1    1    1
str(partitions(5))
#>  int [1:7, 1:5] 5 4 3 3 2 2 1 0 1 2 ...