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A140902 Number of 4 X 5 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,5,n can be permuted, see formula. 1

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

%S 1,126,5292,116424,1646568,16818516,133613766,868489479,4789851066,

%T 23029990984,98561919456,381644355456,1354627767168,4454641311264,

%U 13691471089032,39620253756006,108618373687131,283595960194470,708397594804900,1699573176873000

%N Number of 4 X 5 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,5,n can be permuted, see formula.

%F (empirical) set p,q,r to n,5,4 (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 July 23 19:18 EDT 2024. Contains 374553 sequences. (Running on oeis4.)