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

%I #4 Mar 06 2013 11:38:51

%S 0,32,2120,114782,5459252,346343088,17812721025,1142470649401,

%T 58980648163832,3852418637358246,200706673436292108,

%U 13243427433214319023,693625799476691177636,46113394821687632448294,2425015336246882407219638

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

%C Column 3 of A222832

%H R. H. Hardin, <a href="/A222830/b222830.txt">Table of n, a(n) for n = 1..63</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Mar 06 2013