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

%I #4 Aug 30 2012 05:41:36

%S 1,2,4,29,97,1534,7050,188835,1084180,42756208,291120551,15590248868,

%T 121920095674,8414029179365,73953763887277,6340176007793060,

%U 61657373569634586,6390402969619162909,67948766672072844798

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

%C Column 3 of A216031

%H R. H. Hardin, <a href="/A216026/b216026.txt">Table of n, a(n) for n = 1..41</a>

%e Some solutions for n=4

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

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

%e ..x..2..x....x..3..x....x..3..x....x..2..x....x..2..x....x..2..x....x..3..x

%e ..0..x..1....0..x..4....4..x..5....3..x..0....2..x..1....3..x..4....3..x..0

%K nonn

%O 1,2

%A _R. H. Hardin_ Aug 30 2012