A140942 Number of 10 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. 10,11,n can be permuted, see formula.

1, 352716, 20734762776, 359423289546776, 2464759032039691296, 8048657076493567752960

Offset

0,2

Links

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

Formula

(empirical) set p,q,r to n,11,10 (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: A172765 A205632 A205334 * A294858 A274900 A284081

Adjacent sequences: A140939 A140940 A140941 * A140943 A140944 A140945

Keyword

nonn

Author

R. H. Hardin, Jul 05 2008

Status

approved