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Number of n X n 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally or antidiagonally.
1

%I #10 Jun 25 2024 13:13:21

%S 3,24,432,17496,1658232,367125912,191184793128,234385100907480,

%T 677856222475099560,4627785508146660629232,74650443539914896103253016,

%U 2846446729148572555427535908448,256684477494955879310882598953790768

%N Number of n X n 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally or antidiagonally.

%H R. H. Hardin, <a href="/A233151/b233151.txt">Table of n, a(n) for n = 1..17</a>

%e Some solutions for n=4:

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

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

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

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

%Y Diagonal of A233155.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 05 2013