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%I #5 Mar 31 2012 12:37:32
%S 1,51,51,744,2316,744,9042,79017,79017,9042,103752,2563795,7363642,
%T 2563795,103752,1165620,82255351,677791782,677791782,82255351,1165620,
%U 12988416,2632469015,62264517380,178967377396,62264517380,2632469015
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays containing all values 0..3 with every 2X2 subblock having three or four distinct values, and new values 0..3 introduced in row major order
%C Table starts
%C .........1............51...............744..................9042
%C ........51..........2316.............79017...............2563795
%C .......744.........79017...........7363642.............677791782
%C ......9042.......2563795.........677791782..........178967377396
%C ....103752......82255351.......62264517380........47230346056196
%C ...1165620....2632469015.....5718695139568.....12464481048826696
%C ..12988416...84200356757...525217898009080...3289463766677655180
%C .144259560.2692825679001.48237037195753208.868112796406514394762
%H R. H. Hardin, <a href="/A210183/b210183.txt">Table of n, a(n) for n = 1..144</a>
%e Some solutions for n=4 k=3
%e ..0..1..0..2....0..1..1..2....0..0..0..1....0..0..0..0....0..0..1..1
%e ..2..1..2..3....0..2..0..1....1..2..1..2....1..2..3..2....1..2..2..3
%e ..2..0..1..3....0..3..2..2....2..3..1..0....3..1..1..2....3..0..3..0
%e ..1..3..1..0....1..2..1..3....0..3..0..2....1..2..3..1....2..0..1..2
%e ..3..0..3..2....3..2..0..3....1..1..1..3....3..2..0..1....3..2..0..1
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Mar 18 2012