A140940 Number of 8 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. 8,11,n can be permuted, see formula.

1, 75582, 1057896060, 4783805983320, 9271015995674160, 9183250377581777952, 5247874388850386800416

Offset

0,2

Links

Table of n, a(n) for n=0..6.

Formula

(empirical) set p,q,r to n,11,8 (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: A347848 A204360 A236817 * A204865 A323025 A323804

Adjacent sequences: A140937 A140938 A140939 * A140941 A140942 A140943

Keyword

nonn

Author

R. H. Hardin, Jul 05 2008

Status

approved