A140905 Number of 5 X 6 matrices with elements in 0..n with each row and each column in nondecreasing order. 5,6,n can be permuted, see formula.

1, 462, 60984, 3737448, 133613766, 3184461423, 55197331332, 739309710568, 7997986868872, 72261531710368, 559611782036736, 3792054662892288, 22861714169552544, 124317036213845112, 616710003178486536, 2817836469631320060, 11955449108123596075

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Formula

(empirical) set p,q,r to n,6,5 (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: A023912 A027565 A035847 * A208619 A318266 A295432

Adjacent sequences: A140902 A140903 A140904 * A140906 A140907 A140908

Keyword

nonn

Author

R. H. Hardin, Jul 05 2008

Status

approved