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%I #5 Mar 31 2012 12:37:31
%S 0,0,0,9,26,9,162,665,665,162,1845,13529,25435,13529,1845,17262,
%T 235614,870686,870686,235614,17262,144945,3745144,27112487,53890394,
%U 27112487,3745144,144945,1138194,56080379,795773818,3143493049,3143493049
%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 or two distinct values, and new values 0..3 introduced in row major order
%C Table starts
%C .......0.........0............9.............162...............1845
%C .......0........26..........665...........13529.............235614
%C .......9.......665........25435..........870686...........27112487
%C .....162.....13529.......870686........53890394.........3143493049
%C ....1845....235614.....27112487......3143493049.......351689776895
%C ...17262...3745144....795773818....176163769267.....38303320167422
%C ..144945..56080379..22419183624...9585247795332...4082540189707757
%C .1138194.806021187.613401570788.510324389383430.427998742911795767
%H R. H. Hardin, <a href="/A209969/b209969.txt">Table of n, a(n) for n = 1..144</a>
%e Some solutions for n=4 k=3
%e ..0..0..1..1....0..0..1..0....0..1..2..3....0..0..1..2....0..1..0..0
%e ..1..0..1..1....2..0..0..0....0..1..2..2....1..1..1..1....0..0..0..0
%e ..0..0..0..0....2..2..2..2....1..1..1..1....0..0..0..1....0..2..0..2
%e ..0..2..0..0....2..1..1..1....2..2..2..2....1..0..0..0....0..0..2..0
%e ..2..2..0..3....1..1..1..3....3..3..2..0....1..0..0..3....3..0..0..2
%K nonn,tabl
%O 1,4
%A _R. H. Hardin_ Mar 16 2012