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%I #3 Jan 22 2013 06:46:49
%S 1,3,3,6,35,6,13,396,396,13,28,4429,17480,4429,28,60,49387,780692,
%T 780692,49387,60,129,550264,34704624,140268025,34704624,550264,129,
%U 277,6129659,1542552756
%N T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some king-move neighbor, without consecutive moves in the same direction
%C Table starts
%C ...1......3........6........13.......28.........60.....129.277
%C ...3.....35......396......4429....49387.....550264.6129659
%C ...6....396....17480....780692.34704624.1542552756
%C ..13...4429...780692.140268025
%C ..28..49387.34704624
%C ..60.550264
%C .129
%e Some solutions for n=3 k=4
%e ..0..1..2..0....0..1..0..1....0..4..0..0....0..4..1..0....0..2..3..0
%e ..0..3..1..0....0..3..0..3....0..1..4..0....0..2..0..2....0..3..3..0
%e ..0..5..0..0....0..0..4..0....0..3..0..0....1..2..0..0....1..0..0..0
%Y Column 1 is A002478
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Jan 22 2013
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