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 A140908 Number of 4 X 7 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,7,n can be permuted, see formula. 0

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

%S 1,330,32670,1557270,44537922,868489479,12544848030,142174944340,

%T 1318349483880,10323075958624,69951472754592,418241323113120,

%U 2241344526426720,10905003176653080,48687631829880516,201274033545094290,776327864163869875,2812085452234451250

%N Number of 4 X 7 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,7,n can be permuted, see formula.

%F (empirical) set p,q,r to n,7,4 (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 September 25 21:56 EDT 2023. Contains 365649 sequences. (Running on oeis4.)