npartitions: Number of partitions

In arrangements: Fast Generators and Iterators for Permutations, Combinations, Integer Partitions and Compositions

Description

Number of partitions

Usage

npartitions(n, k = NULL, distinct = FALSE, bigz = FALSE)

Arguments

n	an non-negative integer to be partitioned
k	number of parts
distinct	an logical to restrict distinct values
bigz	an logical to use gmp::bigz

See Also

partitions for generating all partitions and ipartitions for iterating partitions

Examples

# number of partitions of 10
npartitions(10)
# number of partitions of 10 into 5 parts
npartitions(10, 5)

# integer overflow
## Not run: npartitions(160)
npartitions(160, bigz = TRUE)

# zero sized partitions
npartitions(0)
npartitions(5, 0)
npartitions(5, 6)
npartitions(0, 0)
npartitions(0, 1)

arrangements documentation built on Sept. 13, 2020, 5:20 p.m.