%I #4 Mar 12 2013 04:09:23
%S 0,16,45,472,820,11680,18827,297604,476311,7843888,12556560,211494138,
%T 338708227,5790393968,9275590871,160276206184,256779939554,
%U 4473065113116,7166908112488,125642042785400,201318319254692,3547402024390848
%N Number of nX3 0..2 arrays with exactly floor(nX3/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..2 order
%C Column 3 of A223033
%H R. H. Hardin, <a href="/A223029/b223029.txt">Table of n, a(n) for n = 1..174</a>
%e Some solutions for n=3
%e ..0..1..2....0..1..1....0..1..0....0..1..0....0..1..0....0..1..2....0..1..2
%e ..2..1..1....2..1..2....1..1..2....2..1..2....2..2..2....0..0..0....1..1..1
%e ..1..0..2....0..1..0....0..1..0....0..1..1....2..1..0....2..1..2....0..2..0
%K nonn
%O 1,2
%A _R. H. Hardin_ Mar 12 2013