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Number of nX3 0..3 arrays with exactly floor(nX3/2) elements equal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order
1

%I #5 Mar 13 2013 04:36:34

%S 0,44,1682,101573,4505726,286019636,13029003006,847775163675,

%T 39163069348499,2586615582072818,120546656751917002,

%U 8041164730409837733,377031919338288517436,25328506526109972349940,1192869061178928489347148

%N Number of nX3 0..3 arrays with exactly floor(nX3/2) elements equal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order

%C Column 3 of A223052

%H R. H. Hardin, <a href="/A223049/b223049.txt">Table of n, a(n) for n = 1..114</a>

%e Some solutions for n=3

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

%e ..2..3..2....1..0..2....2..1..0....2..2..3....3..2..2....2..3..1....2..1..3

%e ..0..0..1....1..0..3....2..3..1....0..2..1....2..1..0....2..0..3....3..1..0

%K nonn

%O 1,2

%A _R. H. Hardin_ Mar 13 2013