Partition Function

mak

Hi everyone,

I am trying to define a function partition in Haskell that takes in an integer as an argument and returns a list of all possible positive integers that would sum to the input, ie

partition 4 = [[1, 1, 1, 1], [1, 1, 2], [1, 3], [2, 2], [4]]

The function (formally defined) can be found here
http://en.wikipedia.org/wiki/Partiti...mber_theory%29

From the outset it looks like i'll need to increment and decrement different variables on each recursive call, but have no idea where to start. Sorry if this seems trivial, but i think it's rather difficult for a beginners tutorial :)

Thanks for your help