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A140924
Number of 9 X 9 matrices with elements in 0..n with each row and each column in nondecreasing order. 9,9,n can be permuted, see formula.
0
1, 48620, 449141836, 1371597504992, 1832516612010448, 1274867710694037824, 520384188062967417280
OFFSET
0,2
FORMULA
(empirical) set p,q,r to n,9,9 (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: A024761 A245862 A177313 * A351488 A177314 A177315
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 05 2008
STATUS
approved