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A208376 Number of n X 5 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 1 vertically.

%I A208376 #9 Jul 02 2018 05:46:01
%S A208376 16,256,704,1344,2176,3200,4416,5824,7424,9216,11200,13376,15744,
%T A208376 18304,21056,24000,27136,30464,33984,37696,41600,45696,49984,54464,
%U A208376 59136,64000,69056,74304,79744,85376,91200,97216,103424,109824,116416,123200,130176
%N A208376 Number of n X 5 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 1 vertically.
%C A208376 Column 5 of A208379.
%H A208376 R. H. Hardin, <a href="/A208376/b208376.txt">Table of n, a(n) for n = 1..210</a>
%F A208376 Empirical: a(n) = 96*n^2 - 32*n - 64 for n>1.
%F A208376 Conjectures from _Colin Barker_, Jul 02 2018: (Start)
%F A208376 G.f.: 16*x*(1 + 13*x - x^2 - x^3) / (1 - x)^3.
%F A208376 a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>4.
%F A208376 (End)
%e A208376 Some solutions for n=4:
%e A208376 ..1..1..0..0..1....0..1..0..1..1....1..0..1..0..0....1..1..0..0..1
%e A208376 ..0..0..1..1..0....1..0..1..0..1....1..0..1..1..0....1..0..1..0..0
%e A208376 ..0..0..1..0..0....0..0..1..0..0....0..0..1..0..0....1..0..1..0..0
%e A208376 ..0..0..1..0..0....0..0..1..0..0....0..0..1..0..0....0..0..1..0..0
%Y A208376 Cf. A208379.
%K A208376 nonn
%O A208376 1,1
%A A208376 _R. H. Hardin_, Feb 25 2012