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%I #4 Sep 07 2012 11:58:49
%S 2,2,7,15,203,716,17733,83440,3137543,18171918,942426468,6423127757,
%T 433245459699,3376465219485,284615058572536,2486327138729353,
%U 254421641605158901,2454996141671330713,298288744434946125073
%N Number of horizontal, diagonal and antidiagonal neighbor colorings of the even squares of a 3Xn array with new integer colors introduced in row major order
%C Row 3 of A216460
%H R. H. Hardin, <a href="/A216461/b216461.txt">Table of n, a(n) for n = 1..41</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..0
%e ..0..x..3..x....3..x..4..x....4..x..5..x....0..x..1..x....3..x..4..x
%K nonn
%O 1,1
%A _R. H. Hardin_ Sep 07 2012