integer_partitions(​n,count)

Computes all partitions of a given nonnegative integer n.

A partition of a positive integer n, also called an integer partition, is a way of writing n as a sum of positive integers. Two sums that differ only in the order of their summands are considered the same partition (could be seen as a permutation of the partition). This function computes all partitions of a given nonnegative integer "n", restricted to "count" nonnegative integer summands.