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%I #5 Mar 31 2012 12:37:18
%S 4,16,16,61,256,61,232,3721,3721,232,882,53824,196916,53824,882,3353,
%T 777924,10346480,10346480,777924,3353,12747,11242609,542989615,
%U 1970169608,542989615,11242609,12747,48460,162486009,28493353430
%N T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z+1 z+1 z horizontally and z-1 z-1 z vertically
%C Table starts
%C .....4.........16.............61.................232.....................882
%C ....16........256...........3721...............53824..................777924
%C ....61.......3721.........196916............10346480...............542989615
%C ...232......53824.......10346480..........1970169608............374571613718
%C ...882.....777924......542989615........374571613718.........257884387013510
%C ..3353...11242609....28493353430......71203824562653......177514813568428241
%C .12747..162486009..1495251731248...13535979641561061...122196720716205612586
%C .48460.2348371600.78467042510200.2573229281243934565.84117644551085319449546
%H R. H. Hardin, <a href="/A207582/b207582.txt">Table of n, a(n) for n = 1..84</a>
%e Some solutions for n=4 k=3
%e ..0..0..3....1..0..0....0..0..3....2..2..2....1..0..2....1..3..2....0..1..1
%e ..0..1..1....0..0..3....2..3..1....0..0..3....3..2..1....2..0..2....3..3..0
%e ..2..0..2....1..2..1....1..2..0....0..0..1....1..0..3....2..1..1....3..1..1
%e ..2..1..0....0..1..3....1..0..0....2..2..3....3..0..1....0..1..1....3..2..1
%Y Column 1 is A206570
%Y Column 2 is A206571
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 19 2012
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