A221396 T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal, vertical or antidiagonal neighbor, with every occupancy equal to zero or two

0, 2, 2, 0, 6, 0, 4, 18, 18, 4, 0, 54, 0, 54, 0, 8, 162, 631, 631, 162, 8, 0, 486, 0, 7678, 0, 486, 0, 16, 1458, 23188, 93398, 93398, 23188, 1458, 16, 0, 4374, 0, 1137850, 0, 1137850, 0, 4374, 0, 32, 13122, 852298, 13857444, 55533104, 55533104, 13857444

Offset

1,2

Comments

Table starts

..0.....2......0.........4........0..........8........0..........16..........0

..2.....6.....18........54......162........486.....1458........4374......13122

..0....18......0.......631........0......23188........0......852298..........0

..4....54....631......7678....93398....1137850.13857444...168717375.2053766992

..0...162......0.....93398........0...55533104........0.32910740654

..8...486..23188...1137850.55533104.2701660543

..0..1458......0..13857444........0

.16..4374.852298.168717375

..0.13122......0

.32.39366

..0

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Example

Some solutions for n=3 k=4
..0..0..2..0....0..0..2..2....2..0..2..0....2..0..0..2....2..2..0..2
..2..0..2..2....2..0..0..0....2..0..0..2....0..0..2..2....2..2..0..0
..2..0..0..2....2..2..0..2....2..2..0..0....2..0..0..2....0..0..0..2

Crossrefs

Column 2 is A008776(n-1)

Sequence in context: A253180 A295214 A221408 * A221337 A157077 A185896

Adjacent sequences: A221393 A221394 A221395 * A221397 A221398 A221399

Keyword

nonn,tabl

Author

R. H. Hardin Jan 14 2013

Status

approved