A210095 - OEIS

%I #5 Mar 31 2012 12:37:31

%S 0,9,9,90,169,90,657,2370,2370,657,4230,29650,57232,29650,4230,25533,

%T 348621,1318221,1318221,348621,25533,148410,3950131,29356228,57786977,

%U 29356228,3950131,148410,842265,43701168,639141361,2488428258,2488428258

%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays containing all values 0..2 with every 2X2 subblock having one or two distinct values, and new values 0..2 introduced in row major order

%C Table starts

%C ......0.........9...........90.............657...............4230

%C ......9.......169.........2370...........29650.............348621

%C .....90......2370........57232.........1318221...........29356228

%C ....657.....29650......1318221........57786977.........2488428258

%C ...4230....348621.....29356228......2488428258.......209465946364

%C ..25533...3950131....639141361....105669469816.....17494242506253

%C .148410..43701168..13698519779...4440075543303...1451091848955678

%C .842265.475700584.290324839303.185097842285157.119700187465721716

%H R. H. Hardin, <a href="/A210095/b210095.txt">Table of n, a(n) for n = 1..220</a>

%e Some solutions for n=4 k=3

%e ..0..0..1..0....0..0..0..0....0..1..1..0....0..0..0..1....0..0..0..0

%e ..0..1..1..1....0..1..0..0....0..0..0..0....2..2..0..0....0..0..0..0

%e ..0..0..1..2....0..0..0..2....0..0..1..1....1..2..0..1....0..0..1..0

%e ..2..0..1..1....0..0..2..2....0..0..1..0....2..2..0..0....0..0..0..0

%e ..2..0..0..1....0..2..2..1....2..0..0..1....0..2..2..0....1..0..0..2

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Mar 17 2012