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A183814 1/81 the number of (n+1) X 4 0..2 arrays with no 2 X 2 subblock being a reflection across the shared element pair of any horizontal or vertical neighbor.

%I A183814 #9 Apr 04 2018 14:24:06
%S A183814 64,3256,163208,8231592,414246824,20864057480,1050517114472,
%T A183814 52900274426120,2663752907479720,134133403972622152,
%U A183814 6754253376412941416,340109468142471752968,17126149629153540430376,862384378029691966195144
%N A183814 1/81 the number of (n+1) X 4 0..2 arrays with no 2 X 2 subblock being a reflection across the shared element pair of any horizontal or vertical neighbor.
%C A183814 Column 3 of A183819.
%H A183814 R. H. Hardin, <a href="/A183814/b183814.txt">Table of n, a(n) for n = 1..41</a>
%F A183814 Empirical: a(n) = 43*a(n-1) + 560*a(n-2) - 10054*a(n-3) + 24480*a(n-4) + 45920*a(n-5).
%F A183814 Empirical g.f.: 8*x*(8 + 63*x - 1580*x^2 + 4218*x^3 + 7624*x^4) / (1 - 43*x - 560*x^2 + 10054*x^3 - 24480*x^4 - 45920*x^5). - _Colin Barker_, Apr 04 2018
%e A183814 Some solutions with upper left block zero for 3 X 4:
%e A183814 ..0..0..0..1....0..0..0..1....0..0..0..2....0..0..2..2....0..0..0..2
%e A183814 ..0..0..1..1....0..0..1..2....0..0..1..1....0..0..1..0....0..0..2..0
%e A183814 ..2..1..1..1....2..0..2..1....2..2..2..1....2..0..0..1....0..2..0..0
%Y A183814 Cf. A183819.
%K A183814 nonn
%O A183814 1,1
%A A183814 _R. H. Hardin_, Jan 07 2011