A231222 Number of (n+2)X(3+2) 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order

3, 8, 21, 54, 185, 552, 1799, 5900, 19185, 63834, 210899, 701724, 2336721, 7786742, 25984043, 86721124, 289569291, 967130226, 3230474181, 10792263708, 36056118433, 120467821634, 402509354825, 1344900626136, 4493772713417

Offset

1,1

Comments

Column 3 of A231227

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +8*a(n-2) -18*a(n-3) -31*a(n-4) +39*a(n-5) +49*a(n-6) -73*a(n-7) +64*a(n-8) +15*a(n-9) -157*a(n-10) +98*a(n-11) +28*a(n-12) -24*a(n-13)

Example

Some solutions for n=4
..0..0..0..0..0....0..0..1..1..1....0..0..0..1..1....0..0..1..1..1
..0..0..0..0..0....0..0..1..1..1....0..0..0..1..1....0..0..1..1..1
..1..1..1..1..1....1..1..0..0..0....0..0..0..1..1....0..0..0..1..1
..1..1..1..1..1....1..1..0..0..0....1..1..1..0..0....0..0..0..2..2
..0..0..0..0..0....1..1..0..0..0....1..1..1..0..0....0..0..2..2..2
..0..0..0..0..0....1..1..0..0..0....1..1..1..0..0....0..0..2..2..2

Crossrefs

Sequence in context: A335807 A005580 A292619 * A231436 A027932 A084625

Adjacent sequences: A231219 A231220 A231221 * A231223 A231224 A231225

Keyword

nonn

Author

R. H. Hardin, Nov 05 2013

Status

approved