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%I #3 Jan 16 2013 07:59:46
%S 0,1,1,0,31,0,1,286,286,1,0,3295,7573,3295,0,1,34477,378956,378956,
%T 34477,1,0,371116,14043932,72740056,14043932,371116,0,1,3952193,
%U 581171214,11340892604,11340892604,581171214,3952193,1,0,42233189,22893790059
%N T(n,k)=Number of nXk arrays of occupancy after each element moves to some king-move neighbor, without consecutive moves in the same direction
%C Table starts
%C .0.......1.........0...........1...........0.........1...........0........1.0
%C .1......31.......286........3295.......34477....371116.....3952193.42233189
%C .0.....286......7573......378956....14043932.581171214.22893790059
%C .1....3295....378956....72740056.11340892604
%C .0...34477..14043932.11340892604
%C .1..371116.581171214
%C .0.3952193
%C .1
%e Some solutions for n=3 k=4
%e ..0..2..0..0....1..4..0..0....0..4..1..0....0..3..0..0....1..0..0..0
%e ..2..3..1..1....0..2..3..0....2..0..1..1....2..0..2..0....1..3..0..3
%e ..0..0..3..0....0..0..1..1....0..1..1..1....0..0..3..2....0..0..4..0
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_ Jan 16 2013
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