%I #5 Mar 31 2012 12:37:14
%S 4,16,16,62,256,62,241,3844,3844,241,936,58081,211548,58081,936,3636,
%T 876096,11745962,11745962,876096,3636,14124,13220496,649804846,
%U 2408811358,649804846,13220496,14124,54865,199487376,35974254384
%N T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z-2 z-1 z in any row, column or nw-to-se diagonal
%C Table starts
%C .....4.........16..............62.................241......................936
%C ....16........256............3844...............58081...................876096
%C ....62.......3844..........211548............11745962................649804846
%C ...241......58081........11745962..........2408811358.............491471001691
%C ...936.....876096.......649804846........491471001691..........369048436354154
%C ..3636...13220496.....35974254384.....100388008195387.......277547203982336971
%C .14124..199487376...1991325229362...20501676381643219....208677027839980986946
%C .54865.3010168225.110232229481279.4187168666551506836.156908217690570873253816
%H R. H. Hardin, <a href="/A206900/b206900.txt">Table of n, a(n) for n = 1..112</a>
%e Some solutions for n=4 k=3
%e ..0..1..1....2..2..1....0..1..0....0..2..0....3..1..1....0..0..3....2..0..3
%e ..3..3..0....0..0..3....3..2..2....3..0..0....1..3..2....2..3..1....0..2..0
%e ..3..1..1....0..0..1....1..2..1....2..1..1....3..0..1....1..2..0....3..1..1
%e ..3..2..1....1..1..3....1..3..2....0..3..1....1..1..1....1..0..0....2..0..3
%Y Column 1 is A206839
%Y Column 2 is A206840
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 13 2012