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Number of nX6 0..2 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.
5

%I #6 Jul 23 2025 05:51:21

%S 0,1260,552720,131421154,33169633760,8449174734112,2147475302085202,

%T 545932535826768684,138787395853893018838,35282586966210325591794,

%U 8969556441199791857264994,2280245063727120353993737526

%N Number of nX6 0..2 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

%C Column 6 of A230469

%H R. H. Hardin, <a href="/A230467/b230467.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 20 2013