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A239532 Number of (n+1) X (3+1) 0..2 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..2 introduced in row major order.

%I A239532 #7 Oct 26 2018 09:15:06
%S A239532 6,6,216,1014,13254,98304,984150,8368566,77673624,687582150,
%T A239532 6243858486,55924463616,504631320486,4535315519334,40848737643864,
%U A239532 367488643786134,3308125850845350,29769598506080256,267943541451802614
%N A239532 Number of (n+1) X (3+1) 0..2 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..2 introduced in row major order.
%H A239532 R. H. Hardin, <a href="/A239532/b239532.txt">Table of n, a(n) for n = 1..210</a>
%F A239532 Empirical: a(n) = 8*a(n-1) + 26*a(n-2) - 166*a(n-3) + 96*a(n-4) + 198*a(n-5) - 81*a(n-6).
%F A239532 Empirical g.f.: 6*(1 - 7*x + 2*x^2 + 21*x^3 - 9*x^4) / ((1 + x)*(1 - 9*x)*(1 - 3*x + x^2)*(1 + 3*x - 9*x^2)). - _Colin Barker_, Oct 26 2018
%e A239532 Some solutions for n=5:
%e A239532 ..0..1..0..2....0..1..0..1....0..1..1..0....0..1..2..0....0..1..2..1
%e A239532 ..0..1..0..2....0..1..0..1....0..1..1..0....0..1..2..0....0..1..2..1
%e A239532 ..1..0..0..2....0..1..2..1....0..1..2..1....1..0..1..2....2..1..0..1
%e A239532 ..1..0..0..2....0..2..2..1....1..2..2..1....1..0..1..2....2..0..0..1
%e A239532 ..0..1..1..0....0..2..0..1....1..2..2..1....1..0..2..0....1..0..2..1
%e A239532 ..0..1..1..0....0..2..0..1....1..2..2..1....1..0..2..0....1..0..2..1
%Y A239532 Column 3 of A239537.
%K A239532 nonn
%O A239532 1,1
%A A239532 _R. H. Hardin_, Mar 21 2014