the number of k-compositions of an integer
The numbcomp command counts the number of distinct ordered k-tuples of positive integers whose elements sum to n. For information on the composition command, which constructs k-compositions, see the combinat[composition] help page.
Note that numbcomp⁡n,k⁢=nops⁡composition⁡n,k=binomial⁡n−1,k−1 for n,k>0 .
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