A140922 - OEIS

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A140922

Number of 7 X 9 matrices with elements in 0..n with each row and each column in nondecreasing order. 7,9,n can be permuted, see formula.

%I #3 Oct 03 2013 09:33:12

%S 1,11440,27810640,24584605760,10323075958624,2424984388825856,

%T 356031798904887040,35384083398854927360

%N Number of 7 X 9 matrices with elements in 0..n with each row and each column in nondecreasing order. 7,9,n can be permuted, see formula.

%F (empirical) set p,q,r to n,9,7 (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