|
|
A250740
|
|
Number of (n+1) X (6+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nonincreasing x(i,j)-x(i-1,j) in the j direction.
|
|
1
|
|
|
130, 134, 142, 158, 190, 254, 382, 638, 1150, 2174, 4222, 8318, 16510, 32894, 65662, 131198, 262270, 524414, 1048702, 2097278, 4194430, 8388734, 16777342, 33554558, 67108990, 134217854, 268435582, 536871038, 1073741950, 2147483774, 4294967422
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = 3*a(n-1) - 2*a(n-2); a(n) = 2^(n+1) + 126.
Empirical g.f.: 2*x*(65 - 128*x) / ((1 - x)*(1 - 2*x)). - Colin Barker, Nov 17 2018
|
|
EXAMPLE
|
Some solutions for n=4:
..0..0..0..0..0..0..0....0..1..1..1..0..0..0....0..1..1..0..0..0..1
..0..0..0..0..0..0..0....0..1..1..1..0..0..0....0..1..1..0..0..0..1
..0..0..0..0..0..0..0....0..1..1..1..0..0..0....0..1..1..0..0..0..1
..1..1..1..1..1..1..1....0..1..1..1..0..0..0....0..1..1..0..0..0..1
..1..1..1..1..1..1..1....0..1..1..1..0..0..0....0..1..1..0..0..0..1
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|