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Number of nX3 0..3 arrays with exactly floor(nX3/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..3 order
1

%I #4 Feb 23 2013 17:21:25

%S 0,0,4,37,0,1302,1318,90581,70734,5931248,5165434,396589283,363819326,

%T 26492741018,25813321786,1772163042969,1828692355062,118639519688172,

%U 129482347946176,7949399002469286,9161368832882458,533108011913115020

%N Number of nX3 0..3 arrays with exactly floor(nX3/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..3 order

%C Column 3 of A222522

%H R. H. Hardin, <a href="/A222517/b222517.txt">Table of n, a(n) for n = 1..207</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,3

%A _R. H. Hardin_ Feb 23 2013