|
|
A208842
|
|
Number of 5 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 1 0 vertically.
|
|
1
|
|
|
14, 196, 406, 3010, 8736, 49126, 169974, 833364, 3166030, 14462714, 57750784, 254227806, 1042375166, 4500225380, 18712446886, 79961471506, 334969826464, 1423640395254, 5987342521510, 25373701694964, 106935469300254
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = 2*a(n-1) + 12*a(n-2) - 11*a(n-3).
Empirical g.f.: 14*x*(1 + 12*x - 11*x^2) / (1 - 2*x - 12*x^2 + 11*x^3). - Colin Barker, Jul 07 2018
|
|
EXAMPLE
|
Some solutions for n=4:
..1..1..0..0....1..0..1..0....1..0..1..1....1..0..1..1....0..1..0..0
..1..0..1..1....1..1..1..1....1..0..1..1....0..1..0..1....0..1..1..0
..1..1..0..0....1..0..1..0....1..0..1..1....1..0..1..1....1..1..0..0
..1..0..1..0....1..1..1..1....1..0..1..1....0..1..0..1....0..1..1..1
..1..1..0..1....1..0..1..0....1..1..1..1....1..0..1..1....1..1..0..0
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|