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.

7, 119, 1733, 24485, 345755, 4882030, 68933905, 973340015, 13743460075, 194056216948, 2740053437074, 38689267213364, 546288396106862, 7713534869291859, 108914303513829210, 1537858544870732685

Offset

1,1

Comments

Column 4 of A221035.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

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

Cf. A221035.

Sequence in context: A368631 A076283 A057769 * A221323 A268300 A304917

Adjacent sequences: A221028 A221029 A221030 * A221032 A221033 A221034

Keyword

nonn

Author

R. H. Hardin, Dec 29 2012

Status

approved