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%I #4 Nov 02 2013 11:08:45
%S 0,0,0,0,2,0,0,2,2,0,0,16,14,16,0,0,66,182,182,66,0,0,396,2364,10914,
%T 2364,396,0,0,2172,36020,465638,465638,36020,2172,0,0,12094,513774,
%U 20549430,57701860,20549430,513774,12094,0,0,66948,7466956,899786196
%N T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, and upper left element zero
%C Table starts
%C .0.....0.......0...........0...............0................0................0
%C .0.....2.......2..........16..............66..............396.............2172
%C .0.....2......14.........182............2364............36020...........513774
%C .0....16.....182.......10914..........465638.........20549430........899786196
%C .0....66....2364......465638........57701860.......7659817624....1002758638600
%C .0...396...36020....20549430......7659817624....3052462730072.1196835020970200
%C .0..2172..513774...899786196...1002758638600.1196835020970200
%C .0.12094.7466956.39531660010.131716860513628
%H R. H. Hardin, <a href="/A230994/b230994.txt">Table of n, a(n) for n = 1..84</a>
%F Empirical for column k:
%F k=2: [linear recurrence order 9]
%F k=3: [order 49]
%e Some solutions for n=3 k=4
%e ..0..3..2..1....0..3..0..0....0..3..2..3....0..1..3..0....0..1..2..3
%e ..1..2..0..1....1..2..1..3....1..0..1..0....3..2..1..1....3..3..0..3
%e ..2..3..3..2....3..0..1..2....2..3..2..1....3..0..3..2....2..1..1..2
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_, Nov 02 2013
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