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%I #5 Mar 31 2012 12:37:06
%S 15,102,102,870,1662,870,7566,29022,29022,7566,68342,513038,1093244,
%T 513038,68342,609086,9083342,40007284,40007284,9083342,609086,5514982,
%U 160862398,1514539540,3163254256,1514539540,160862398,5514982,49362414
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..3 introduced in row major order
%C Table starts
%C .......15.........102............870.............7566............68342
%C ......102........1662..........29022...........513038..........9083342
%C ......870.......29022........1093244.........40007284.......1514539540
%C .....7566......513038.......40007284.......3163254256.....250194674424
%C ....68342.....9083342.....1514539540.....250194674424...42782998259850
%C ...609086...160862398....55445403092...19790583241516.7075689720463554
%C ..5514982..2848901694..2098930772556.1565428649231412
%C .49362414.50454831598.76841262200636
%H R. H. Hardin, <a href="/A205431/b205431.txt">Table of n, a(n) for n = 1..60</a>
%e Some solutions for n=4 k=3
%e ..0..0..0..1....0..0..0..0....0..1..1..2....0..0..0..0....0..0..1..1
%e ..0..1..1..2....1..0..0..1....0..2..1..2....1..1..0..0....1..1..2..2
%e ..2..1..0..3....2..3..0..1....0..0..3..1....2..1..2..0....3..1..3..2
%e ..1..0..1..0....2..2..1..0....0..0..0..0....3..3..1..1....0..0..1..0
%e ..0..1..1..2....0..0..2..3....0..1..2..0....2..3..1..3....3..0..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 27 2012