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A140905 Number of 5 X 6 matrices with elements in 0..n with each row and each column in nondecreasing order. 5,6,n can be permuted, see formula. 0

%I #3 Oct 03 2013 09:33:11

%S 1,462,60984,3737448,133613766,3184461423,55197331332,739309710568,

%T 7997986868872,72261531710368,559611782036736,3792054662892288,

%U 22861714169552544,124317036213845112,616710003178486536,2817836469631320060,11955449108123596075

%N Number of 5 X 6 matrices with elements in 0..n with each row and each column in nondecreasing order. 5,6,n can be permuted, see formula.

%F (empirical) set p,q,r to n,6,5 (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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