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%I #5 Mar 31 2012 12:36:29
%S 1,1,1,1,1,1,1,9,9,1,1,17,17,17,1,1,33,81,81,33,1,1,89,257,547,257,89,
%T 1,1,249,1003,2571,2571,1003,249,1,1,553,3417,13397,19603,13397,3417,
%U 553,1,1,1321,12673,78101,159463,159463,78101,12673,1321,1,1,3361,46165,423957
%N T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 3,3,1,1,1 for x=0,1,2,3,4
%C Every 0 is next to 0 3's, every 1 is next to 1 3's, every 2 is next to 2 1's, every 3 is next to 3 1's, every 4 is next to 4 1's
%C Table starts
%C .1....1......1........1.........1...........1.............1...............1
%C .1....1......9.......17........33..........89...........249.............553
%C .1....9.....17.......81.......257........1003..........3417...........12673
%C .1...17.....81......547......2571.......13397.........78101..........423957
%C .1...33....257.....2571.....19603......159463.......1353761........11871747
%C .1...89...1003....13397....159463.....1982913......26456233.......338629635
%C .1..249...3417....78101...1353761....26456233.....534127371.....10702459629
%C .1..553..12673...423957..11871747...338629635...10702459629....330460207137
%C .1.1321..46165..2255611..99322949..4353024153..210165095895...9913545271603
%C .1.3361.168569.12173719.832736311.55929879939.4163535286913.298898062918965
%H R. H. Hardin, <a href="/A197401/b197401.txt">Table of n, a(n) for n = 1..179</a>
%e Some solutions containing all values 0 to 4 for n=6 k=4
%e ..0..1..3..1....0..2..1..2....0..0..0..0....1..0..0..0....0..1..3..1
%e ..1..4..1..2....0..1..3..1....0..0..0..0....3..1..0..0....1..4..1..0
%e ..3..1..2..0....2..1..3..1....0..0..2..1....1..0..2..1....3..1..0..1
%e ..1..0..0..0....1..4..1..2....0..0..1..3....0..0..1..3....1..0..1..3
%e ..0..1..0..0....3..1..0..0....0..1..4..1....2..1..4..1....0..0..2..1
%e ..1..3..1..0....1..2..0..0....1..3..1..0....1..3..1..2....0..0..0..0
%Y Column 2 is A197344
%K nonn,tabl
%O 1,8
%A _R. H. Hardin_ Oct 14 2011
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