|
| |
|
|
A184034
|
|
1/16 the number of (n+1) X 5 0..3 arrays with all 2 X 2 subblocks having the same four values.
|
|
2
|
|
|
|
91, 103, 124, 166, 244, 400, 700, 1300, 2476, 4828, 9484, 18796, 37324, 74380, 148300, 296140, 591436, 1182028, 2362444, 4723276, 9443404, 18883660, 37761100, 75515980, 151019596, 302026828, 604029004, 1208033356, 2416017484, 4831985740
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
|
|
|
LINKS
|
|
|
|
FORMULA
|
Empirical: a(n) = 3*a(n-1) - 6*a(n-3) + 4*a(n-4).
G.f.: x*(91 - 170*x - 185*x^2 + 340*x^3) / ((1 - x)*(1 - 2*x)*(1 - 2*x^2)).
a(n) = 9*2^(n/2-1) + 9*2^(n-1) + 76 for n even.
a(n) = 9*2^(n-1) + 3*2^((n+1)/2) + 76 for n odd.
(End)
|
|
|
EXAMPLE
|
Some solutions for 3 X 5:
..3..1..0..1..3....2..3..3..3..3....2..1..2..0..2....1..1..3..2..1
..0..2..3..2..0....3..0..2..0..2....3..0..3..1..3....3..2..1..1..3
..3..1..0..1..3....2..3..3..3..3....2..1..2..0..2....1..1..3..2..1
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
