%I #5 Mar 31 2012 12:37:34
%S 7,59,59,549,1316,549,5167,29647,29647,5167,48689,668468,1596154,
%T 668468,48689,458859,15072359,85979301,85979301,15072359,458859,
%U 4324477,339846892,4631193134,11066406572,4631193134,339846892,4324477,40755719
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having one or three distinct values, and new values 0..3 introduced in row major order
%C Table starts
%C ........7...........59.............549................5167
%C .......59.........1316...........29647..............668468
%C ......549........29647.........1596154............85979301
%C .....5167.......668468........85979301.........11066406572
%C ....48689.....15072359......4631193134.......1424263182001
%C ...458859....339846892....249456180709.....183306323524536
%C ..4324477...7662761615..13436785945910...23591974220786341
%C .40755719.172777559876.723763304576749.3036345393226822100
%H R. H. Hardin, <a href="/A210404/b210404.txt">Table of n, a(n) for n = 1..144</a>
%e Some solutions for n=4 k=3
%e ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..1..2
%e ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..3..1
%e ..1..2..1..3....0..0..0..0....0..0..0..0....0..0..0..0....1..2..2..2
%e ..1..3..3..2....0..0..0..0....0..0..0..0....0..0..0..0....1..3..0..1
%e ..1..0..1..1....1..2..1..2....1..2..3..1....0..0..0..0....1..0..1..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Mar 21 2012