%I #4 Nov 11 2012 17:06:28

%S 1,2,2,4,11,4,7,42,42,7,12,154,288,154,12,21,582,1971,1971,582,21,37,

%T 2199,13674,26145,13674,2199,37,65,8287,95146,345529,345529,95146,

%U 8287,65,114,31240,660556,4591348,8647530,4591348,660556,31240,114,200,117789

%N T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..2 nXk array

%C Table starts

%C ...1......2........4.........7.........12..........21.........37........65

%C ...2.....11.......42.......154........582........2199.......8287.....31240

%C ...4.....42......288......1971......13674.......95146.....660556...4584620

%C ...7....154.....1971.....26145.....345529.....4591348...60957131.808775383

%C ..12....582....13674....345529....8647530...217909019.5486836181

%C ..21...2199....95146...4591348..217909019.10432278539

%C ..37...8287...660556..60957131.5486836181

%C ..65..31240..4584620.808775383

%C .114.117789.31824915

%C .200.444096

%C .351

%H R. H. Hardin, <a href="/A219106/b219106.txt">Table of n, a(n) for n = 1..70</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 1 is A005251(n+2)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Nov 11 2012