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.

1, 184756, 5924217936, 58043512597616, 232187445047217296, 454924095627897307776

Offset

0,2

Links

Table of n, a(n) for n=0..5.

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

Adjacent sequences: A140930 A140931 A140932 * A140934 A140935 A140936

Keyword

nonn

Author

R. H. Hardin, Jul 05 2008

Status

approved