A generalization of Stanley's Theorem. It states that the total number of occurrences of an Integer among all unordered Partitions of is equal to the number of occasions that a part occurs or more times in a Partition, where a Partition which contains parts that each occur or more times contributes to the sum in question.

**References**

Honsberger, R. *Mathematical Gems III.* Washington, DC: Math. Assoc. Amer, pp. 8-9, 1985.

© 1996-9

1999-05-25