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Number of horizontal, vertical and diagonal neighbor colorings of the even squares of an nX3 array with new integer colors introduced in row major order
1

%I #4 Aug 28 2012 14:26:44

%S 1,2,10,29,366,1534,35167,188835,6618472,42756208,2081922515,

%T 15590248868,993343650912,8414029179365,673316834487162,

%U 6340176007793060,618445940056365121,6390402969619162909,742701928727400476918

%N Number of horizontal, vertical and diagonal neighbor colorings of the even squares of an nX3 array with new integer colors introduced in row major order

%C Column 3 of A215959

%H R. H. Hardin, <a href="/A215954/b215954.txt">Table of n, a(n) for n = 1..41</a>

%e Some solutions for n=4

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

%e ..x..2..x....x..2..x....x..2..x....x..2..x....x..1..x....x..1..x....x..2..x

%e ..2..x..3....2..x..0....2..x..3....1..x..0....2..x..3....1..x..2....2..x..3

%e ..x..4..x....x..1..x....x..0..x....x..3..x....x..4..x....x..0..x....x..1..x

%K nonn

%O 1,2

%A _R. H. Hardin_ Aug 28 2012