|
|
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.
|
|
0
|
|
|
1, 1716, 736164, 131589315, 12544848030, 739309710568, 29706808370096, 872299918503728, 19702998159210080, 356031798904887040, 5307612509828239104, 66906538465238667936, 727646448874213295856, 6941725172140873448400
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
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
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|