Narveson,
Specifically, it is called restricted partitioning since 1 can't be used - otherwise I would have recommended RFC: Integer::Partition::Unrestricted. Instead, I will recommend How to generate restricted partitions of an integer.

Cheers - L~R

In reply to Re^2: Decomposing sum to unique sets of summands by Limbic~Region
in thread Decomposing sum to unique sets of summands by blackmanao

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