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A140920 Number of 5 X 9 matrices with elements in 0..n with each row and each column in nondecreasing order. 5,9,n can be permuted, see formula. 0

%I

%S 1,2002,1002001,208416208,23029990984,1566039386912,72261531710368,

%T 2424984388825856,62305564808355232,1274867710694037824,

%U 21427584214357481888,303282730418598205184,3688967826726218553440,39214657989988793866400,369491052699789370779000

%N Number of 5 X 9 matrices with elements in 0..n with each row and each column in nondecreasing order. 5,9,n can be permuted, see formula.

%F (empirical) set p,q,r to n,9,5 (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 January 16 23:43 EST 2022. Contains 350377 sequences. (Running on oeis4.)