|
|
A190027
|
|
Number of (n+2) X 5 binary arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock.
|
|
1
|
|
|
228, 79, 158, 274, 362, 430, 506, 610, 790, 1094, 1539, 2128, 2917, 3951, 5309, 7171, 9723, 13188, 17946, 24428, 33181, 45089, 61273, 83193, 113026, 153617, 208697, 283598, 385441, 523693, 711599, 967038, 1313966, 1785449, 2426308, 3296908
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = 2*a(n-1) -a(n-2) +a(n-3) -2*a(n-4) +a(n-5) +a(n-6) -a(n-7) for n>11.
Empirical g.f.: x*(228 - 377*x + 228*x^2 - 191*x^3 + 349*x^4 - 248*x^5 - 257*x^6 + 205*x^7 + 17*x^8 + 25*x^10) / ((1 - x)*(1 - x - x^3 + x^4 - x^6)). - Colin Barker, May 03 2018
|
|
EXAMPLE
|
Some solutions for 4 X 5:
0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|