A140911 Number of 7 X 7 matrices with elements in 0..n with each row and each column in nondecreasing order. 7,7,n can be permuted, see formula.

1, 3432, 2760615, 877262100, 142174944340, 13710834632352, 872299918503728, 39405996318420160, 1335119245893326400, 35384083398854927360, 758274102606038236608, 13494534142758137486784

Offset

0,2

Links

Table of n, a(n) for n=0..11.

Formula

(empirical) set p,q,r to n,7,7 (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: A024759 A245860 A177307 * A351486 A362172 A177308

Adjacent sequences: A140908 A140909 A140910 * A140912 A140913 A140914

Keyword

nonn

Author

R. H. Hardin, Jul 05 2008

Status

approved