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Number of n X n 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.
0

%I #7 Mar 15 2023 11:33:11

%S 0,0,114,76518,281740616,8449174734112,1929668277796729476,

%T 3350063281301654212261806

%N Number of n X n 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 Diagonal of A230469.

%e Some solutions for n=3

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

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

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

%Y Cf. A230469.

%K nonn

%O 1,3

%A _R. H. Hardin_, Oct 20 2013