%I #5 Mar 31 2012 12:35:55
%S 128,992,992,7688,13168,7688,64976,180236,180236,64976,549152,2735260,
%T 4470575,2735260,549152,4780976,41834260,124987628,124987628,41834260,
%U 4780976,41623688,664848772,3536846184,6533126804,3536846184,664848772
%N T(n,k)=Half the number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one
%C Table starts
%C .......128.........992.........7688........64976.......549152........4780976
%C .......992.......13168.......180236......2735260.....41834260......664848772
%C ......7688......180236......4470575....124987628...3536846184...104681141079
%C .....64976.....2735260....124987628...6533126804.347446206704.19440886672754
%C ....549152....41834260...3536846184.347446206704
%C ...4780976...664848772.104681141079
%C ..41623688.10590791696
%C .366310352
%H R. H. Hardin, <a href="/A183976/b183976.txt">Table of n, a(n) for n = 1..40</a>
%e Some solutions for 3X3
%e ..2..0..0....3..0..3....2..3..0....1..0..1....2..3..1....3..1..2....1..1..2
%e ..0..3..2....2..2..2....2..0..3....1..0..1....1..3..2....1..3..3....2..3..2
%e ..2..0..1....3..1..2....3..1..2....0..1..1....3..2..2....2..2..1....2..1..2
%e ...
%e ...5..5.......7..7.......7..6.......2..2.......9..9.......8..9.......7..8...
%e ...5..6.......8..7.......6..6.......2..3.......9..9.......8..9.......8..8...
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 08 2011