%I #4 Sep 07 2012 11:59:31
%S 2,5,20,203,3429,83440,2711768,112073062,5691327040,346212384169,
%T 24737419691764,2043836452962923,192779435018929754,
%U 20538493062072286871,2449347793873500266618,324446721789278481458200
%N Number of horizontal, diagonal and antidiagonal neighbor colorings of the even squares of a 4Xn array with new integer colors introduced in row major order
%C Row 4 of A216460
%H R. H. Hardin, <a href="/A216462/b216462.txt">Table of n, a(n) for n = 1..20</a>
%e Some solutions for n=4
%e ..0..x..1..x....0..x..1..x....0..x..1..x....0..x..1..x....0..x..1..x
%e ..x..2..x..0....x..2..x..3....x..2..x..3....x..2..x..3....x..2..x..3
%e ..3..x..4..x....0..x..4..x....1..x..4..x....3..x..0..x....4..x..0..x
%e ..x..5..x..1....x..2..x..5....x..5..x..3....x..4..x..2....x..5..x..4
%K nonn
%O 1,1
%A _R. H. Hardin_ Sep 07 2012