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

[ozymandius5]

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.

 

[Guffel]

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. :)