arrangements (version 1.1.10)

npartitions: Number of partitions

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
if (FALSE) npartitions(160)
npartitions(160, bigz = TRUE)

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