%I #7 May 17 2013 13:39:57

%S 3,9,9,26,81,26,75,676,676,75,216,5625,15390,5625,216,622,46656,

%T 347502,347502,46656,622,1791,386884,7791488,21162579,7791488,386884,

%U 1791,5157,3207681,174545777,1274682671,1274682671,174545777,3207681,5157,14849

%N T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z-2 z-1 z in any row, column or nw-to-se diagonal

%C Table starts

%C ....3........9..........26..............75................216

%C ....9.......81.........676............5625..............46656

%C ...26......676.......15390..........347502............7791488

%C ...75.....5625......347502........21162579.........1274682671

%C ..216....46656.....7791488......1274682671.......205235353935

%C ..622...386884...174545777.....76655305645.....32960886054362

%C .1791..3207681..3908531208...4606553380932...5287481507599689

%C .5157.26594649.87515884741.276789915709747.847996342709895834

%H R. H. Hardin, <a href="/A207317/b207317.txt">Table of n, a(n) for n = 1..180</a>

%e Some solutions for n=4 k=3

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

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

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

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

%Y Column 1 is A076264

%Y Column 2 is A206694

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 16 2012