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general.

Examples

The seven partitions of 5 are
* 5
* 4 + 1
* 3 + 2
* 3 + 1 + 1
* 2 + 2 + 1
* 2 + 1 + 1 + 1
* 1 + 1 + 1 + 1 + 1

Some authors treat a partition as a non-increasing sequence of summands, rather than an expression with plus signs. For example, the partition 2 + 2 + 1 might instead be written as the tuple or in the even more compact form where the superscript indicates the number of repetitions of a part.

This multiplicity

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