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A140932
Number of 9 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 9,10,n can be permuted, see formula.
0
1, 92378, 1551580888, 8291930371088, 18748054569029968, 21427584214357481888
OFFSET
0,2
FORMULA
(empirical) set p,q,r to n,10,9 (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: A116134 A318631 A194722 * A208623 A294857 A025042
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 05 2008
STATUS
approved