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Number of horizontal and antidiagonal neighbor colorings of the odd squares of an n X 3 array with new integer colors introduced in row major order.
1

%I #12 Dec 20 2015 17:11:55

%S 1,2,5,52,203,4140,21147,678570,4213597,190899322,1382958545,

%T 82864869804,682076806159,51724158235372,474869816156751,

%U 44152005855084346,445958869294805289,49631246523618756274,545717047936059989389

%N Number of horizontal and antidiagonal neighbor colorings of the odd squares of an n X 3 array with new integer colors introduced in row major order.

%C Column 3 of A216084.

%C Appears to be identical to A000110 except for elements in the latter indexed by 3x + 2 for x >= 0. - _Chris Boyd_, Dec 20 2015

%H R. H. Hardin, <a href="/A216079/b216079.txt">Table of n, a(n) for n = 1..210</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..0....1..x..2....1..x..2....1..x..2....1..x..0....1..x..0....1..x..0

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Sep 01 2012