A140931 - OEIS

A140931

Number of 8 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 8,10,n can be permuted, see formula.

1, 43758, 367479684, 1028698128744, 1268665346776464, 819557814017595744, 312230512837780450368

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OFFSET

0,2

LINKS

FORMULA

(empirical) set p,q,r to n,10,8 (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))

CROSSREFS

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved