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%I #4 Mar 31 2012 12:36:02
%S 0,704,704,1936,15776,1936,34816,319448,319448,34816,172992,7140256,
%T 13565936,7140256,172992,2053216,159990728,886180500,886180500,
%U 159990728,2053216,12950528,3638705368,48714917964
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock sum equal to some horizontal or vertical neighbor 2X2 subblock sum
%C Table starts
%C .......0.......704......1936.....34816......172992....2053216.12950528
%C .....704.....15776....319448...7140256...159990728.3638705368
%C ....1936....319448..13565936.886180500.48714917964
%C ...34816...7140256.886180500
%C ..172992.159990728
%C .2053216
%e Some solutions for 4X3
%e ..2..0..3....2..2..3....2..0..3....2..0..2....2..2..3....0..2..0....0..3..0
%e ..2..3..1....3..2..2....3..1..3....2..3..2....3..2..0....0..0..0....0..3..0
%e ..1..2..2....3..0..1....1..1..2....3..3..3....1..3..2....3..2..3....1..1..1
%e ..2..3..1....3..2..2....3..2..2....1..2..1....2..0..1....0..2..0....0..1..0
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Jan 31 2011
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