|
|
A188709
|
|
Number of 5 X n binary arrays without the pattern 0 0 diagonally or vertically.
|
|
1
|
|
|
13, 120, 1141, 10857, 103484, 986929, 9413801, 89796720, 856564045, 8170716249, 77940041492, 743466128137, 7091886123065, 67649146608936, 645301822994341, 6155501787932937, 58717023436375724, 560098747441089889
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = 13*a(n-1) - 36*a(n-2) + 29*a(n-3) - 5*a(n-4) for n>5.
Empirical g.f.: x*(13 - 49*x + 49*x^2 - 33*x^3 + 4*x^4) / ((1 - x)*(1 - 12*x + 24*x^2 - 5*x^3)). - Colin Barker, Apr 28 2018
|
|
EXAMPLE
|
Some solutions for 5 X 3:
0 0 0 1 1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 1 1
1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1
0 0 1 1 1 1 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1
1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0
0 1 1 0 0 0 0 1 1 1 1 1 1 0 1 1 0 1 0 0 1
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|