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 A140911 Number of 7 X 7 matrices with elements in 0..n with each row and each column in nondecreasing order. 7,7,n can be permuted, see formula. 0

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

%S 1,3432,2760615,877262100,142174944340,13710834632352,872299918503728,

%T 39405996318420160,1335119245893326400,35384083398854927360,

%U 758274102606038236608,13494534142758137486784

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

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

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Last modified December 8 17:58 EST 2023. Contains 367680 sequences. (Running on oeis4.)