IntegerPartitions

IntegerPartitions[n]
gives a list of all possible ways to partition the integer n into smaller integers.

IntegerPartitions[n, k]
gives partitions into at most k integers.

IntegerPartitions[n, {k}]
gives partitions into exactly k integers.

IntegerPartitions[n, {kmin, kmax}]
gives partitions into between and integers.

IntegerPartitions[n, kspec, {s1, s2, ...}]
gives partitions involving only the .

IntegerPartitions[n, kspec, sspec, m]
limits the result to the first m partitions.

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