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%I #5 Mar 31 2012 12:37:05
%S 81,486,486,2990,4158,2990,18148,36478,36478,18148,111041,323806,
%T 515162,323806,111041,677732,2873148,7051340,7051340,2873148,677732,
%U 4143102,25443411,97718448,144087952,97718448,25443411,4143102,25302238
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in each of its horizontal and vertical neighbors
%C Table starts
%C .......81........486.........2990..........18148...........111041
%C ......486.......4158........36478.........323806..........2873148
%C .....2990......36478.......515162........7051340.........97718448
%C ....18148.....323806......7051340......144087952.......2954664074
%C ...111041....2873148.....97718448.....2954664074......96890744524
%C ...677732...25443411...1334713506....60907844595....3053080325738
%C ..4143102..225349124..18384097800..1253758820754...98979850888752
%C .25302238.1996606633.251875514320.25826772963664.3147626098090446
%H R. H. Hardin, <a href="/A205246/b205246.txt">Table of n, a(n) for n = 1..97</a>
%e Some solutions for n=4 k=3
%e ..1..2..1..0....0..0..1..0....0..1..2..2....1..2..1..2....2..1..1..0
%e ..1..2..2..1....1..1..2..2....0..0..1..1....1..2..2..0....1..0..1..0
%e ..1..0..0..1....2..1..2..0....2..1..2..2....1..1..1..1....0..1..2..0
%e ..2..2..0..2....1..0..0..1....1..0..2..0....0..0..1..2....0..0..2..0
%e ..1..2..0..0....1..1..1..2....0..1..2..2....2..0..1..0....2..1..2..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 24 2012
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