%I #5 Mar 31 2012 12:37:31
%S 1,51,51,762,2384,762,9405,82691,82691,9405,109194,2718363,7853122,
%T 2718363,109194,1239185,88297042,735082380,735082380,88297042,1239185,
%U 13937206,2860160370,68665065250,198214365329,68665065250,2860160370
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays containing all values 0..3 with every 2X2 subblock having one, three or four distinct values, and new values 0..3 introduced in row major order
%C Table starts
%C .........1............51...............762...................9405
%C ........51..........2384.............82691................2718363
%C .......762.........82691...........7853122..............735082380
%C ......9405.......2718363.........735082380...........198214365329
%C ....109194......88297042.......68665065250.........53426795638847
%C ...1239185....2860160370.....6412474476465......14400521616297866
%C ..13937206...92588511903...598825420604059....3881469256766776348
%C .156188077.2996810715343.55920736247669053.1046198451409469003484
%H R. H. Hardin, <a href="/A210086/b210086.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..1..1..0....0..0..1..0....0..0..0..1....0..0..0..0
%e ..1..2..3..1....0..2..3..0....1..2..2..3....1..2..1..2....1..2..3..1
%e ..2..0..1..0....0..3..1..1....1..3..0..2....2..3..0..3....2..3..1..0
%e ..3..2..2..1....3..1..0..2....1..2..3..2....3..0..1..3....3..0..2..0
%e ..2..1..3..3....1..0..2..3....0..1..0..3....3..1..2..1....2..3..3..0
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Mar 17 2012