A140938 Number of 6 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. 6,11,n can be permuted, see formula.

1, 12376, 32821152, 31803696288, 14675134144320, 3792054662892288, 612416828057104512, 66906538465238667936, 5247874388850386800416, 309490028060407426691200

Offset

0,2

Links

Table of n, a(n) for n=0..9.

Formula

(empirical) set p,q,r to n,11,6 (in any order) in s=p+q+r-1; a(n) = Product {i=0..r-1} (binomial(s,p+i)*i!/(s-i)^(r-i-1)).

Crossrefs

Sequence in context: A179916 A236426 A235841 * A202563 A061731 A278892

Adjacent sequences: A140935 A140936 A140937 * A140939 A140940 A140941

Keyword

nonn

Author

R. H. Hardin, Jul 05 2008

Status

approved