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T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..2 introduced in row major order
9

%I #8 Apr 20 2013 08:17:26

%S 14,48,48,175,263,175,677,1548,1548,677,2709,9654,14639,9654,2709,

%T 11143,61978,147129,147129,61978,11143,46709,405702,1504556,2368164,

%U 1504556,405702,46709,198483,2686876,15614579,38649376,38649376,15614579,2686876

%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..2 introduced in row major order

%C Table starts

%C .....14.......48........175..........677...........2709............11143

%C .....48......263.......1548.........9654..........61978...........405702

%C ....175.....1548......14639.......147129........1504556.........15614579

%C ....677.....9654.....147129......2368164.......38649376........637115198

%C ...2709....61978....1504556.....38649376.....1002405121......26272023365

%C ..11143...405702...15614579....637115198....26272023365....1094476686239

%C ..46709..2686876..162976758..10546235416...690109737187...45724154665434

%C .198483.17926060.1709130780.175062268404.18179839278978.1914758450334723

%H R. H. Hardin, <a href="/A205475/b205475.txt">Table of n, a(n) for n = 1..180</a>

%e Some solutions for n=4 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 27 2012