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September 21, 2014

Homework Help: geometry

Posted by Anonymous on Thursday, June 20, 2013 at 4:06am.

A smooth partition of the integer n is a set of positive integers a1,a2,…ak such that
1. k is a positive integer,
2. a1≤a2≤⋯≤ak,
3. ∑ki=1ai=n, and
4. ak−a1≤1.
Determine how many smooth partitions there are of the integer 250.

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