(35S) Partitions

[Jeff_Kearns]

(05-19-2014 05:48 AM)Gerald H Wrote:  Returns number of integer partitions for input integer:

input integer, 0 for all partitions;
input integer, 1 for distinct partitions.

Any improvements or error reports welcome.

I, for one, would appreciate more explanation and an example. What is the purpose of the program? What is the definition (via a link) of an integer partition? For instance, something like: "A partition of an integer, n, is one way of writing n as the sum of positive integers where the order of the addends (terms being added) does not matter....". That was taken from this link, which seems to provide a good introduction to Partitions of Integers.

What is the practical application of this program? Also, there is a way to enter the program in a 'scroll-box' so it is not so long on the screen.

Jeff K