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%I #5 Mar 31 2012 12:36:03
%S 0,24,24,40,104,40,144,544,544,144,344,2568,4056,2568,344,1000,12656,
%T 33768,33768,12656,1000,2688,62112,273928,458320,273928,62112,2688,
%U 7528,304584,2237680,6315600,6315600,2237680,304584,7528,20648,1494072
%N T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock trace equal to some horizontal or vertical neighbor 2X2 subblock trace
%C Table starts
%C .....0.......24.........40...........144.............344...............1000
%C ....24......104........544..........2568...........12656..............62112
%C ....40......544.......4056.........33768..........273928............2237680
%C ...144.....2568......33768........458320.........6315600...........86568360
%C ...344....12656.....273928.......6315600.......145680504.........3364965408
%C ..1000....62112....2237680......86568360......3364965408.......130602553784
%C ..2688...304584...18242392....1188841336.....77691779712......5075186680192
%C ..7528..1494072..148782184...16318664224...1793861476320....197100662468008
%C .20648..7329384.1213377952..224021622784..41418279791200...7655862674452520
%C .57040.35956128.9895860408.3075298469624.956315991414968.297368484380040776
%H R. H. Hardin, <a href="/A185750/b185750.txt">Table of n, a(n) for n = 1..219</a>
%e Some solutions for 4X3
%e ..1..1..0....0..1..0....1..0..1....0..0..0....1..0..0....0..0..1....0..0..1
%e ..1..1..1....0..1..0....1..1..1....1..0..0....1..0..1....0..0..0....0..1..1
%e ..0..1..0....1..1..1....1..1..0....1..0..0....1..1..1....0..0..1....0..0..0
%e ..0..1..0....0..1..1....1..0..0....0..0..0....1..1..0....0..1..1....1..0..1
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Feb 01 2011
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