A140910 Number of 6 X 7 matrices with elements in 0..n with each row and each column in nondecreasing order. 6,7,n can be permuted, see formula.

1, 1716, 736164, 131589315, 12544848030, 739309710568, 29706808370096, 872299918503728, 19702998159210080, 356031798904887040, 5307612509828239104, 66906538465238667936, 727646448874213295856, 6941725172140873448400

Offset

0,2

Links

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

Formula

(empirical) set p,q,r to n,7,6 (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: A222343 A318628 A194719 * A208620 A365027 A294854

Adjacent sequences: A140907 A140908 A140909 * A140911 A140912 A140913

Keyword

nonn

Author

R. H. Hardin, Jul 05 2008

Status

approved