|
|
A221031
|
|
Majority value maps: number of n X 4 binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal and antidiagonal neighbors in a random 0..2 n X 4 array.
|
|
2
|
|
|
7, 119, 1733, 24485, 345755, 4882030, 68933905, 973340015, 13743460075, 194056216948, 2740053437074, 38689267213364, 546288396106862, 7713534869291859, 108914303513829210, 1537858544870732685
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = 22*a(n-1) -139*a(n-2) +446*a(n-3) -825*a(n-4) +817*a(n-5) -168*a(n-6) -528*a(n-7) +480*a(n-8) +48*a(n-9) -208*a(n-10) +64*a(n-11) for n>12.
|
|
EXAMPLE
|
Some solutions for n=3:
..1..1..1..1....0..1..1..0....1..0..0..0....1..1..0..1....0..0..0..1
..0..0..0..1....1..1..1..1....0..0..0..1....1..0..0..1....0..1..1..1
..1..1..1..0....1..0..1..1....1..0..0..0....1..1..0..0....1..1..0..0
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|