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%I #5 Mar 31 2012 12:37:02
%S 652,7344,7344,87869,164248,87869,874124,3673007,3673007,874124,
%T 9306965,65497615,161927101,65497615,9306965,100389366,1294406290,
%U 5365887358,5365887358,1294406290,100389366,1060442883,25704476586,199470888113
%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally at least two different ways, and new values 0..2 introduced in row major order
%C Table starts
%C .........652..........7344...........87869...........874124..........9306965
%C ........7344........164248.........3673007.........65497615.......1294406290
%C .......87869.......3673007.......161927101.......5365887358.....199470888113
%C ......874124......65497615......5365887358.....299144720528...19402036828532
%C .....9306965....1294406290....199470888113...19402036828532.2274909402099901
%C ...100389366...25704476586...7516738565045.1289231277417171
%C ..1060442883..497453566167.274248095468364
%C .11271249888.9731482764611
%H R. H. Hardin, <a href="/A204511/b204511.txt">Table of n, a(n) for n = 1..49</a>
%e Some solutions for n=3 k=3
%e ..0..0..0..1..1....0..0..1..2..1....0..0..0..1..0....0..0..1..2..0
%e ..0..0..1..0..2....1..1..1..0..1....2..1..0..2..0....2..2..1..2..1
%e ..2..0..0..0..0....1..1..1..1..1....2..1..0..0..0....1..1..1..2..0
%e ..2..0..0..0..2....1..1..0..2..1....0..1..0..0..2....1..1..1..2..2
%e ..1..0..0..0..0....0..0..0..0..1....0..0..0..2..2....2..2..1..2..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 15 2012