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.

- geometry -
**anonymous**, Wednesday, June 26, 2013 at 1:56pm
250

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