A140937 Number of 5 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. 5,11,n can be permuted, see formula.

1, 4368, 4504864, 1837984512, 381644355456, 46960429261824, 3792054662892288, 216147115784860416, 9183250377581777952, 303282730418598205184, 8048657076493567752960

Offset

0,2

Links

Table of n, a(n) for n=0..10.

Formula

(empirical) set p,q,r to n,11,5 (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: A359490 A347603 A217345 * A327789 A043598 A043843

Adjacent sequences: A140934 A140935 A140936 * A140938 A140939 A140940

Keyword

nonn

Author

R. H. Hardin, Jul 05 2008

Status

approved