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%I #4 Dec 25 2012 19:52:41
%S 0,1,1,2,20,2,4,208,208,4,8,2056,7551,2056,8,16,20483,291080,291080,
%T 20483,16,32,203905,11115933,43253705,11115933,203905,32,64,2029453,
%U 424939090,6388528170,6388528170,424939090,2029453,64,128,20199560
%N T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor
%C Table starts
%C ...0.........1............2...............4................8...............16
%C ...1........20..........208............2056............20483...........203905
%C ...2.......208.........7551..........291080.........11115933........424939090
%C ...4......2056.......291080........43253705.......6388528170.....944223520057
%C ...8.....20483.....11115933......6388528170....3629112057868.2062231582631930
%C ..16....203905....424939090....944223520057.2062231582631930
%C ..32...2029453..16241930112.139549646254609
%C ..64..20199560.620799451653
%C .128.201050056
%C .256
%H R. H. Hardin, <a href="/A220943/b220943.txt">Table of n, a(n) for n = 1..60</a>
%e Some solutions for n=3 k=4
%e ..0..2..1..0....0..1..0..1....0..3..1..0....0..0..1..0....0..3..0..0
%e ..0..0..5..1....2..1..2..0....0..3..0..2....1..2..5..0....1..3..3..0
%e ..1..2..0..0....0..2..3..0....0..1..2..0....1..0..2..0....1..0..1..0
%Y Column 1 is A000079(n-2)
%K nonn,tabl
%O 1,4
%A _R. H. Hardin_ Dec 25 2012
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