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Number of (n+2)X(2+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 #5 Aug 11 2014 22:45:54

%S 4,12,144,2494,39504,697059,12059186,208611750,3618020875,62695395092,

%T 1086528474379,18830939076263,326354520726216,5656006078698080,

%U 98023572388848494,1698833301309485989,29442258607528840471

%N Number of (n+2)X(2+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 2 of A230694

%H R. H. Hardin, <a href="/A230691/b230691.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A230691/a230691.txt">Empirical recurrence of order 94</a>

%F Empirical recurrence of order 94 (see link above)

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 27 2013