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%I #4 Mar 04 2013 06:50:27
%S 0,32,2438,125094,6821264,413021606,24065512554,1471765337998,
%T 87152464030990,5404644628233066,322906836991829172,
%U 20211764295806702232,1215888385906731445434,76597296936236782196484
%N Number of nX3 0..3 arrays with exactly floor(nX3/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..3 order
%C Column 3 of A222747
%H R. H. Hardin, <a href="/A222742/b222742.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=3
%e ..0..1..0....0..1..2....0..1..0....0..1..2....0..1..0....0..1..2....0..1..1
%e ..1..2..2....1..3..2....2..1..2....3..2..3....2..2..1....3..3..1....2..3..2
%e ..3..0..3....3..1..0....1..2..1....1..3..1....0..1..0....3..3..2....1..1..2
%K nonn
%O 1,2
%A _R. H. Hardin_ Mar 04 2013