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Number of horizontal, vertical and diagonal neighbor colorings of the odd squares of an nX2 array with new integer colors introduced in row major order
2

%I #4 Aug 30 2012 05:40:51

%S 1,2,2,5,12,42,136,602,2440,12840,61912,373780,2075312,14050312,

%T 87852160,656404264,4548247264,37060650272,281121815712,2475181138384,

%U 20358402201792,192262536609952,1701534399324544,17131843186425504

%N Number of horizontal, vertical and diagonal neighbor colorings of the odd squares of an nX2 array with new integer colors introduced in row major order

%C Column 2 of A216031

%H R. H. Hardin, <a href="/A216025/b216025.txt">Table of n, a(n) for n = 1..123</a>

%e Some solutions for n=5

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

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

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

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

%e ..x..3....x..0....x..0....x..3....x..3....x..4....x..0....x..2....x..1....x..0

%K nonn

%O 1,2

%A _R. H. Hardin_ Aug 30 2012