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A140933
Number of 10 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 10,10,n can be permuted, see formula.
0
1, 184756, 5924217936, 58043512597616, 232187445047217296, 454924095627897307776
OFFSET
0,2
FORMULA
(empirical) set p,q,r to n,10,10 (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: A024754 A024762 A245863 * A244173 A245795 A251449
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 05 2008
STATUS
approved