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%I #5 Mar 31 2012 12:35:51
%S 1,3,3,9,9,9,27,32,32,27,81,129,256,129,81,243,513,2097,2097,513,243,
%T 729,2048,16384,62694,16384,2048,729,2187,8193,131072,568053,568053,
%U 131072,8193,2187,6561,32769,1048959,9465579,16777215,9465579,1048959,32769
%N T(n,k)=Half the number of nXk 0..2 arrays with no element equal its row sum plus its column sum mod 3
%C Table starts
%C .....1......3.......9........27........81.......243.......729.......2187
%C .....3......9......32.......129.......513......2048......8193......32769
%C .....9.....32.....256......2097.....16384....131072...1048959....8388608
%C ....27....129....2097.....62694....568053...9465579.153369936.2690956971
%C ....81....513...16384....568053..16777215.536870912
%C ...243...2048..131072...9465579.536870912
%C ...729...8193.1048959.153369936
%C ..2187..32769.8388608
%C ..6561.131072
%C .19683
%H R. H. Hardin, <a href="/A183429/b183429.txt">Table of n, a(n) for n = 1..59</a>
%e Some solutions for 5X4
%e ..0..0..2..1....0..0..1..0....0..0..0..0....0..0..0..2....0..0..2..1
%e ..0..0..2..1....1..0..0..2....0..2..2..0....2..0..1..0....2..0..1..0
%e ..0..1..1..0....0..0..1..0....2..0..1..0....1..0..0..2....0..1..2..0
%e ..0..1..0..1....1..2..0..2....1..2..1..0....0..2..1..1....2..0..0..0
%e ..2..2..1..0....1..2..0..0....1..1..1..1....0..0..0..2....0..1..1..1
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Jan 04 2011