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A140943
Number of 11 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. 11,11,n can be permuted, see formula.
1
1, 705432, 79483257308, 2543610972177184, 31148053701600494400
OFFSET
0,2
FORMULA
(empirical) set p,q,r to n,11,11 (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: A273969 A203834 A234701 * A134615 A186607 A249195
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 05 2008
STATUS
approved