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A140933 Number of 10 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 10,10,n can be permuted, see formula. 0

%I

%S 1,184756,5924217936,58043512597616,232187445047217296,

%T 454924095627897307776

%N Number of 10 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 10,10,n can be permuted, see formula.

%F (empirical) set p,q,r to n,10,10 (in any order) in s=p+q+r-1; a(n) = product {i in 0..r-1} (binomial(s,p+i)*i!/(s-i)^(r-i-1))

%K nonn

%O 0,2

%A _R. H. Hardin_, Jul 05 2008

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Last modified June 14 04:39 EDT 2021. Contains 345018 sequences. (Running on oeis4.)