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%I #5 Mar 31 2012 12:36:06
%S 0,171,171,361,2121,361,3645,24414,24414,3645,13365,285724,431016,
%T 285724,13365,94905,3409112,12048996,12048996,3409112,94905,424845,
%U 40893800,270129432,630235528,270129432,40893800,424845,2682129,492154924
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock sum equal to exactly one or two horizontal and vertical neighbor 2X2 subblock sums
%C Table starts
%C .......0.......171........361........3645.......13365......94905.......424845
%C .....171......2121......24414......285724.....3409112...40893800....492154924
%C .....361.....24414.....431016....12048996...270129432.6869877312.162868019530
%C ....3645....285724...12048996...630235528.30995088416
%C ...13365...3409112..270129432.30995088416
%C ...94905..40893800.6869877312
%C ..424845.492154924
%C .2682129
%H R. H. Hardin, <a href="/A186871/b186871.txt">Table of n, a(n) for n = 1..39</a>
%e Some solutions for 4X3
%e ..1..2..1....2..2..2....1..2..0....1..0..1....1..0..2....0..2..1....1..2..1
%e ..2..1..2....0..2..0....1..0..2....2..1..2....2..2..1....1..1..0....2..1..2
%e ..2..1..2....0..1..0....1..1..0....2..1..2....0..2..1....0..0..1....2..2..2
%e ..2..0..2....2..0..2....0..2..1....0..2..0....1..2..0....2..0..1....1..0..1
%Y Column 1 is A185610
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Feb 27 2011
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