I am wondering if Sage has some functions to generate the below 

given N,K  (both are non-neg ints),   return a set of tuples (n1...nk) such 
that ni >= 0 and sum(ni)= N. 

So if N=5,k=2,  then there are 6 tuples   (5,0)  (4,1) ... (0,5)  .


Is there a name for this problem ?  what is the # of tuples for the given 
N,K ?  


thanks,  

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