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Number of nX3 0..2 arrays with no more than floor(nX3/2) elements equal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order
1

%I #4 Mar 07 2013 09:50:31

%S 2,51,737,19446,292257,7998180,124148448,3439829096,54306296841,

%T 1515901033301,24205923008005,678825974471631,10927863709310867,

%U 307435863252751539,4979572918586911445,140414743437294171876

%N Number of nX3 0..2 arrays with no more than floor(nX3/2) elements equal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order

%C Column 3 of A222853

%H R. H. Hardin, <a href="/A222850/b222850.txt">Table of n, a(n) for n = 1..112</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 07 2013