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Same sum, different sets of integers

Hi,

Do you have ideas, how to find all those different combinations of 
integers (>0) that produce as a sum, a certain integer.

i.e.: if that sum is

3, the possibilities are c(1,1,1), c(1,2), c(2,1)
4, the possibilities are 
c(1,1,1,1),c(1,1,2),c(1,2,1),c(2,1,1),c(2,2),c(1,3),c(3,1)

etc.

Best regards,

Atte Tenkanen