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A140906 Number of 6 X 6 matrices with elements in 0..n with each row and each column in nondecreasing order. 6,6,n can be permuted, see formula. 0

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

%S 1,924,226512,24293412,1447482465,55197331332,1478619421136,

%T 29706808370096,469699956117392,6062460972064640,65728947490132992,

%U 612416828057104512,4995284546047230864,36217696550300209296,236405501218419838800,1404221840699607829900

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

%F (empirical) set p,q,r to n,6,6 (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 April 19 14:10 EDT 2024. Contains 371792 sequences. (Running on oeis4.)