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Number of n X n 0..2 arrays with no element equal the average of immediate neighbors vertically above and horizontally left of it
1

%I #7 Dec 18 2015 18:18:03

%S 3,28,1548,505000,964650992,10739447120572,697471372604833664,

%T 264039217624146229066192,582845798190981709618659494484,

%U 7500713445239384698086219757987132164

%N Number of n X n 0..2 arrays with no element equal the average of immediate neighbors vertically above and horizontally left of it

%C Diagonal of A208445

%H R. H. Hardin, <a href="/A208438/b208438.txt">Table of n, a(n) for n = 1..13</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 26 2012