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%I #5 Mar 31 2012 12:36:02
%S 0,171,171,361,2121,361,3645,24993,24993,3645,13365,313105,554305,
%T 313105,13365,94905,3959747,16830089,16830089,3959747,94905,424845,
%U 50512903,455401149,1099131565,455401149,50512903,424845,2682129,646053371
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock sum equal to some horizontal or vertical neighbor 2X2 subblock sum
%C Table starts
%C .......0.......171.........361........3645.......13365.........94905
%C .....171......2121.......24993......313105.....3959747......50512903
%C .....361.....24993......554305....16830089...455401149...13132512119
%C ....3645....313105....16830089..1099131565.68751907871.4433660417573
%C ...13365...3959747...455401149.68751907871
%C ...94905..50512903.13132512119
%C ..424845.646053371
%C .2682129
%H R. H. Hardin, <a href="/A185614/b185614.txt">Table of n, a(n) for n = 1..40</a>
%e Some solutions for 4X3
%e ..0..1..1....1..2..1....0..0..2....1..1..2....0..2..1....2..0..2....2..2..2
%e ..2..1..1....0..1..0....2..0..0....2..2..1....0..0..2....2..2..2....0..2..0
%e ..0..0..1....1..0..1....0..0..0....1..1..2....0..2..1....0..0..0....1..0..1
%e ..2..2..1....2..1..2....2..0..0....2..1..1....0..0..2....2..2..2....2..2..2
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Jan 31 2011
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