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Number of horizontal, vertical and diagonal neighbor colorings of the odd squares of an nX4 array with new integer colors introduced in row major order
1

%I #4 Aug 30 2012 05:42:24

%S 1,5,29,371,6150,167130,5219070,233834847,11412814314,741757937068,

%T 51088102234508,4468693984145541,407520605922011467,

%U 45668525708806007925,5279748839226156263229,732043230152926700952839

%N Number of horizontal, vertical and diagonal neighbor colorings of the odd squares of an nX4 array with new integer colors introduced in row major order

%C Column 4 of A216031

%H R. H. Hardin, <a href="/A216027/b216027.txt">Table of n, a(n) for n = 1..20</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Aug 30 2012