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A140923
Number of 8 X 9 matrices with elements in 0..n with each row and each column in nondecreasing order. 8,9,n can be permuted, see formula.
0
1, 24310, 118195220, 198520691512, 151561524301616, 62305564808355232, 15480536486999030720
OFFSET
0,2
FORMULA
(empirical) set p,q,r to n,9,8 (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
Sequence in context: A154069 A318630 A194721 * A208622 A294856 A025041
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 05 2008
STATUS
approved