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Number of nX4 0..3 arrays with no more than floor(nX4/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..3 order
1

%I #4 Feb 26 2013 08:29:26

%S 4,12,65,567,5746,85511,1409334,23117220,385330520,6476514601,

%T 108758391488,1826675971872,30708013301383,516416025560708,

%U 8686858217305854,146176023166781075,2460556661008587521

%N Number of nX4 0..3 arrays with no more than floor(nX4/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..3 order

%C Column 4 of A222616

%H R. H. Hardin, <a href="/A222612/b222612.txt">Table of n, a(n) for n = 1..75</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 26 2013