A221728 - OEIS

%I #4 Jan 22 2013 19:33:20

%S 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,

%T 328,0,16,1984,22180,80160,71310,13948,896,0,0,6688,0,1048566,0,

%U 824144,0,2448,0,32,22536,911081,13757056,47798542,42509454,9525048,420736,6688,0

%N 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

%C Table starts

%C .0....2......0.......4........0........8........0........16.....0....32.0

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

%C .0...16......0.....540........0....22180........0....911081.....0

%C .0...44....464....6188....80160..1048566.13757056.180437354

%C .0..120......0...71310........0.47798542

%C .0..328..13948..824144.42509454

%C .0..896......0.9525048

%C .0.2448.420736

%C .0.6688

%C .0

%H R. H. Hardin, <a href="/A221728/b221728.txt">Table of n, a(n) for n = 1..59</a>

%e Some solutions for n=3 k=4

%e ..2..0..2..0....0..2..0..0....0..2..0..0....2..0..0..2....2..0..0..2

%e ..0..2..2..0....2..0..2..2....2..0..2..0....2..2..2..0....0..2..0..2

%e ..0..2..0..2....2..0..2..0....2..2..0..2....0..2..0..0....0..2..2..0

%Y Column 2 is A002605(n+1)

%Y Row 2 is A221270

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Jan 22 2013