A140928 Number of 5 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 5,10,n can be permuted, see formula.

1, 3003, 2186184, 644195552, 98561919456, 9095857138368, 559611782036736, 24648355308799872, 819557814017595744, 21427584214357481888, 454924095627897307776, 8048657076493567752960, 121208942878147181041600, 1581318351414483181236000

Offset

0,2

Links

Table of n, a(n) for n=0..13.

Formula

(empirical) set p,q,r to n,10,5 (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: A100896 A324405 A140915 * A090162 A031818 A152207

Adjacent sequences: A140925 A140926 A140927 * A140929 A140930 A140931

Keyword

nonn

Author

R. H. Hardin, Jul 05 2008

Status

approved