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%I #5 Mar 31 2012 12:36:03
%S 16,40,40,104,120,104,264,368,368,264,680,1128,1408,1128,680,1736,
%T 3456,5272,5272,3456,1736,4456,10592,19992,24832,19992,10592,4456,
%U 11400,32456,75192,118248,118248,75192,32456,11400,29224,99464,284256,562800,725352
%N T(n,k)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock trace equal to any horizontal or vertical neighbor 2X2 subblock trace
%C Table starts
%C ....16.....40......104.......264........680.........1736..........4456
%C ....40....120......368......1128.......3456........10592.........32456
%C ...104....368.....1408......5272......19992........75192........284256
%C ...264...1128.....5272.....24832.....118248.......562800.......2680000
%C ...680...3456....19992....118248.....725352......4430912......27172072
%C ..1736..10592....75192....562800....4430912.....35108016.....278758936
%C ..4456..32456...284256...2680000...27172072....278758936....2886249088
%C .11400..99464..1071200..12760448..166155112...2212654240...29857704328
%C .29224.304792..4044648..60758008.1017804600..17567479016..309306410040
%C .74824.934032.15253448.289298976.6228062600.139478572544.3201277096848
%H R. H. Hardin, <a href="/A185769/b185769.txt">Table of n, a(n) for n = 1..683</a>
%e Some solutions for 4X3
%e ..0..1..1....0..0..0....0..1..0....0..1..0....0..1..1....0..0..0....1..0..0
%e ..1..0..1....0..1..0....0..1..1....1..0..1....1..0..0....0..0..1....0..1..1
%e ..0..0..0....1..0..1....0..0..0....1..1..0....0..1..0....0..1..0....1..0..1
%e ..0..0..1....0..1..1....0..1..0....0..0..1....0..0..1....1..0..1....1..1..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 03 2011