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Sum_{k=0..n} p(k) where p(k) = number of partitions of k

 
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Nov5-12, 05:49 PM   #1
 

Sum_{k=0..n} p(k) where p(k) = number of partitions of k


Very much a beginner in maths and broadening my horizons. I have a series of polynomials that I was hoping to get some insight into, specifically where to beginning looking re. a method of creating a generating function, as well as some self similar patterns and links that explain them. Any help would be greatly appreciated.

I think the zipped .doc and .xls attachment lays out the broad strokes.
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File Type: zip Integer Partitions.zip (128.0 KB, 11 views)
 
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Nov8-12, 04:11 AM   #2
 
If you haven't done so, take a look at this page. Among other things that might interest you, a generating function is provided there.

EDIT: Considering the thread title is an exact copy of the title of the series in the link, I guess you have seen it. Dig deeper and you'll find a g.f. :)
 
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