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A140935 Number of 3 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. 4

%I #7 Oct 03 2013 09:33:13

%S 1,364,41405,2318680,78835120,1837984512,31803696288,431621592480,

%T 4783805983320,44648855844320,359423289546776,2543610972177184,

%U 16072267131888800,91841526467936000,479707973069130000,2311063705550691000,10348807328532138375

%N Number of 3 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order.

%C In the definition, 3,11,n can be permuted, see formula.

%F (Empirical) set p,q,r to n,11,3 (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

%E Edited by _N. J. A. Sloane_, Aug 28 2010 and May 08 2012

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Last modified March 28 08:02 EDT 2024. Contains 371236 sequences. (Running on oeis4.)