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

%I #4 Oct 27 2013 18:15:49

%S 21,144,9430,442490,18880359,845419469,37380126077,1652305192566,

%T 73119827289165,3234539964921524,143088660860878306,

%U 6330053685562920899,280030245168413301473,12388059947078673447146,548026781823813712246076

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

%C Column 3 of A230694

%H R. H. Hardin, <a href="/A230692/b230692.txt">Table of n, a(n) for n = 1..183</a>

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 27 2013