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Stanley's Theorem

The total number of 1s that occur among all unordered Partitions of a Positive Integer is equal to the sum of the numbers of distinct parts of (i.e., numbers in) those Partitions.

See also Elder's Theorem, Partition


Honsberger, R. Mathematical Gems III. Washington, DC: Math. Assoc. Amer, pp. 6-8, 1985.

© 1996-9 Eric W. Weisstein