A140936 Number of 4 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,11,n can be permuted, see formula.

1, 1365, 496860, 78835120, 6892441920, 381644355456, 14675134144320, 418241323113120, 9271015995674160, 165848175033726640, 2464759032039691296, 31148053701600494400, 341145350065148272000, 3289615875628215480000, 28300371871213324350000

Offset

0,2

Links

Table of n, a(n) for n=0..14.

Formula

(empirical) set p,q,r to n,11,4 (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: A128285 A069310 A096117 * A022204 A015405 A295466

Adjacent sequences: A140933 A140934 A140935 * A140937 A140938 A140939

Keyword

nonn

Author

R. H. Hardin, Jul 05 2008

Status

approved