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Number of nX4 0..3 arrays x(i,j) with each element horizontally or vertically 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
1

%I #5 Aug 11 2014 22:45:54

%S 0,16,40,1370,10448,183088,2045378,29175688,365502344,4913369536,

%T 63632416648,840894973402,10994101352914,144572017467922,

%U 1895295043605416,24887788287735872,326523191949148616

%N Number of nX4 0..3 arrays x(i,j) with each element horizontally or vertically 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 Column 4 of A230805

%H R. H. Hardin, <a href="/A230802/b230802.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A230802/a230802.txt">Empirical recurrence of order 68</a>

%F Empirical recurrence of order 68 (see link above)

%e Some solutions for n=4

%e ..0..1..0..3....0..1..3..2....0..1..2..3....0..1..1..2....0..3..0..1

%e ..3..2..1..2....3..2..0..1....3..2..1..0....3..2..0..3....1..2..1..2

%e ..3..0..1..2....2..1..0..3....3..0..2..1....1..0..2..1....0..3..0..3

%e ..2..1..0..3....3..0..1..2....2..1..3..0....2..3..3..0....3..2..1..2

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 30 2013