|
|
A223567
|
|
Number of nX6 0..1 arrays with antidiagonals unimodal
|
|
1
|
|
|
64, 4096, 153664, 4174016, 97140736, 2137096192, 47016116224, 1034354556928, 22755800252416, 500627605553152, 11013807322169344, 242303761087725568, 5330682743929962496, 117275020366459174912, 2580050448062101848064
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
a(n) = product{ (1+(i*(i+1)/2))^2 , i=1..(min(n,6)-1) } * (1+(min(n,6)*(min(n,6)+1)/2))^(max(n,6)-min(n,6)+1)
a(n) = 22*a(n-1) for n>5
|
|
EXAMPLE
|
Some solutions for n=4
..0..0..1..1..0..1....0..0..0..0..0..0....0..0..0..0..0..1....0..0..0..0..1..0
..0..0..1..0..1..0....0..0..0..1..0..0....0..0..0..1..1..0....0..0..1..1..1..0
..0..1..0..1..1..1....0..0..1..1..0..0....0..1..0..1..0..0....0..0..0..1..0..1
..0..1..1..0..0..1....0..1..1..1..0..1....0..0..1..0..0..1....0..0..1..0..1..1
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|