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%I
%S 3,9,9,25,81,25,69,625,625,69,190,4761,11804,4761,190,523,36100,
%T 219714,219714,36100,523,1440,273529,4056056,9974630,4056056,273529,
%U 1440,3965,2073600,74880210,448162001,448162001,74880210,2073600,3965,10918
%N T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z-1 z-1 z in any row, column or nw-to-se diagonal
%C Table starts
%C ....3........9..........25.............69...............190
%C ....9.......81.........625...........4761.............36100
%C ...25......625.......11804.........219714...........4056056
%C ...69.....4761......219714........9974630.........448162001
%C ..190....36100.....4056056......448162001.......48956655199
%C ..523...273529....74880210....20163037412.....5365256703040
%C .1440..2073600..1384146457...908849973079...589775000656222
%C .3965.15721225.25593791994.40990717802193.64882388838696223
%H R. H. Hardin, <a href="/A206734/b206734.txt">Table of n, a(n) for n = 1..112</a>
%e Some solutions for n=4 k=3
%e ..0..0..0....2..1..0....2..2..1....1..0..1....2..2..0....1..1..0....1..2..1
%e ..2..0..2....0..1..1....2..0..2....2..0..2....0..0..2....1..1..1....1..1..1
%e ..2..0..2....1..0..2....2..2..0....0..2..2....2..0..0....0..1..0....1..0..1
%e ..0..0..0....1..2..2....0..2..1....2..0..2....1..0..2....2..1..0....0..1..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 11 2012
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