A140909 Number of 5 X 7 matrices with elements in 0..n with each row and each column in nondecreasing order. 5,7,n can be permuted, see formula.

1, 792, 169884, 16195608, 868489479, 30107635272, 739309710568, 13710834632352, 201299981193168, 2424984388825856, 24648355308799872, 216147115784860416, 1665094848682410288, 11437167331673750304, 70921650365525951640, 401206240199887951400

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Formula

(empirical) set p,q,r to n,7,5 (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: A037190 A209893 A184491 * A282461 A281935 A037146

Adjacent sequences: A140906 A140907 A140908 * A140910 A140911 A140912

Keyword

nonn

Author

R. H. Hardin, Jul 05 2008

Status

approved