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Number of 4Xn 0..2 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero
1

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

%S 0,0,0,348,7072,149664,3023532,61203362,1237807846,25032128092,

%T 506216068952,10237045859808,207020237832924,4186499352406046,

%U 84662140166304162,1712093427814659238,34623078306219536074

%N Number of 4Xn 0..2 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero

%C Row 4 of A230614

%H R. H. Hardin, <a href="/A230616/b230616.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A230616/a230616.txt">Empirical recurrence of order 59K</a>

%F Empirical recurrence of order 59 (see link above)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,4

%A _R. H. Hardin_, Oct 25 2013