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%I #5 Mar 31 2012 12:36:03
%S 81,558,558,3844,7074,3844,26784,89118,89118,26784,186624,1151346,
%T 2046098,1151346,186624,1296000,14837270,48744342,48744342,14837270,
%U 1296000,9000000,190416934,1154712762,2171002788,1154712762,190416934
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock sum equal to any horizontal or vertical neighbor 2X2 subblock sum
%C Table starts
%C .........81..........558...........3844...........26784..........186624
%C ........558.........7074..........89118.........1151346........14837270
%C .......3844........89118........2046098........48744342......1154712762
%C ......26784......1151346.......48744342......2171002788.....95851024672
%C .....186624.....14837270.....1154712762.....95851024672...7861640359954
%C ....1296000....190416934....27239862108...4212755548948.641850855452998
%C ....9000000...2442333998...641595944400.184696487434352
%C ...62568000..31384892214.15156754839024
%C ..434972736.403218559222
%C .3022785216
%H R. H. Hardin, <a href="/A185777/b185777.txt">Table of n, a(n) for n = 1..59</a>
%e Some solutions for 4X3
%e ..1..2..0....0..2..1....1..1..1....0..2..1....0..0..1....1..2..0....2..2..0
%e ..2..0..1....0..1..1....0..2..1....0..2..2....1..1..2....0..0..0....0..0..1
%e ..1..0..1....0..0..2....0..0..0....0..0..0....0..2..1....1..0..0....2..1..0
%e ..2..2..0....0..0..1....2..1..0....2..2..0....0..1..0....1..1..1....1..2..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 03 2011