A221728 T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, with every occupancy equal to zero or two.

0, 2, 0, 0, 6, 0, 4, 16, 16, 0, 0, 52, 0, 44, 0, 8, 174, 540, 464, 120, 0, 0, 588, 0, 6188, 0, 328, 0, 16, 1984, 22180, 80160, 71310, 13948, 896, 0, 0, 6688, 0, 1048566, 0, 824144, 0, 2448, 0, 32, 22536, 911081, 13757056, 47798542, 42509454, 9525048, 420736, 6688, 0

Offset: 1

Author

R. H. Hardin Jan 22 2013

Keywords

• nonn
• tabl

Comments

Table starts

.0....2......0.......4........0........8........0........16.....0....32.0

.0....6.....16......52......174......588.....1984......6688.22536.75924

.0...16......0.....540........0....22180........0....911081.....0

.0...44....464....6188....80160..1048566.13757056.180437354

.0..120......0...71310........0.47798542

.0..328..13948..824144.42509454

.0..896......0.9525048

.0.2448.420736

.0.6688

.0

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..59

Crossrefs

Column 2 is A002605(n+1)

Row 2 is A221270