Working in a counting complexity result, it came out this n x n matrix defined as follows:(adsbygoogle = window.adsbygoogle || []).push({});

A_ij = comb(n+i-j,i) for each row i =1,...,n and each column j=1,...,n.

NOTE: comb (a,b) represents a!/(b!(a-b)!) , which is the number of subsets of size b that can selected from a set of size a.

I was wondering if anyone have seen this matrix before. I need to study the properties.

Thanks.

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# Is this matrix famous?

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