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%I #5 Mar 31 2012 12:37:14
%S 4,16,16,61,256,61,232,3721,3721,232,882,53824,180294,53824,882,3353,
%T 777924,8685113,8688551,777924,3353,12747,11242609,419203246,
%U 1391081032,417476451,11242609,12747,48460,162486009,20232472915,223912418544
%N T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z-1 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal
%C Table starts
%C .....4.........16.............61..............232...............882
%C ....16........256...........3721............53824............777924
%C ....61.......3721.........180294..........8685113.........419203246
%C ...232......53824........8688551.......1391081032......223912418544
%C ...882.....777924......417476451.....221715091199...118749552817647
%C ..3353...11242609....20061347530...35350565625684.63023113538493420
%C .12747..162486009...964232197214.5637076828393230
%C .48460.2348371600.46342878010975
%H R. H. Hardin, <a href="/A206974/b206974.txt">Table of n, a(n) for n = 1..60</a>
%e Some solutions for n=4 k=3
%e ..2..0..3....2..0..1....3..1..1....2..1..2....1..1..0....1..0..0....1..3..3
%e ..0..2..0....0..2..0....1..3..3....3..0..1....3..2..3....0..0..3....1..1..3
%e ..3..1..1....1..2..1....3..1..3....2..0..0....3..0..0....2..2..1....0..1..0
%e ..2..0..2....3..0..0....1..3..3....1..3..0....2..1..3....0..1..3....0..1..0
%Y Column 1 and row 1 are A206570
%Y Column 2 and row 2 are A206571
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 14 2012