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%I #4 Jan 24 2013 08:04:35
%S 0,1,0,0,2,0,1,1,4,0,0,9,0,8,0,1,17,43,1,16,0,0,64,44,241,0,32,0,1,
%T 171,736,748,1397,1,64,0,0,536,1680,16715,4848,7989,0,128,0,1,1558,
%U 14548,117067,311288,47575,45956,1,256,0,0,4689,47314,1557684,3143356,6168942
%N T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without move-in move-out straight through or left turns
%C Table starts
%C .0....1.0.......1........0..........1..........0..........1............0
%C .0....2.1.......9.......17.........64........171........536.........1558
%C .0....4.0......43.......44........736.......1680......14548........47314
%C .0....8.1.....241......748......16715.....117067....1557684.....14265803
%C .0...16.0....1397.....4848.....311288....3143356...95371405...1408726936
%C .0...32.1....7989....47575....6168942..128008894.7397024874.230155001514
%C .0...64.0...45956...381174..122732982.4330440582
%C .0..128.1..264378..3360074.2429844368
%C .0..256.0.1520571.28284160
%C .0..512.1.8746983
%C .0.1024.0
%C .0.2048
%H R. H. Hardin, <a href="/A221755/b221755.txt">Table of n, a(n) for n = 1..97</a>
%e Some solutions for n=3 k=4
%e ..0..2..0..2....1..1..1..1....0..2..0..2....0..2..0..1....0..2..1..1
%e ..2..0..2..0....0..2..0..2....1..1..1..1....1..1..2..1....2..0..0..1
%e ..1..1..1..1....2..0..2..0....2..0..2..0....1..1..2..0....1..2..2..0
%Y Column 2 is A000079(n-1)
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_ Jan 24 2013
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