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A283036 Number of n X 2 0..1 arrays with no 1 equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element.

%I A283036 #8 Nov 16 2021 21:42:13
%S A283036 0,4,16,68,256,924,3232,11044,37104,122984,403280,1310760,4228960,
%T A283036 13558932,43239776,137251068,433883696,1366668772,4290998336,
%U A283036 13433966724,41949331616,130685405648,406258440928,1260465716560,3903760205760
%N A283036 Number of n X 2 0..1 arrays with no 1 equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element.
%C A283036 Column 2 of A283042.
%H A283036 R. H. Hardin, <a href="/A283036/b283036.txt">Table of n, a(n) for n = 1..210</a>
%F A283036 Empirical: a(n) = 4*a(n-1) +2*a(n-2) -12*a(n-3) -11*a(n-4) +4*a(n-5) +6*a(n-6) -a(n-8).
%F A283036 Empirical: G.f.: -4*x^2*(x-1)*(1+x)/(x^4-3*x^2-2*x+1)^2. - _R. J. Mathar_, Mar 02 2017
%e A283036 Some solutions for n=4
%e A283036 ..1..0. .1..1. .1..1. .1..0. .1..1. .1..1. .0..1. .0..0. .1..1. .1..1
%e A283036 ..0..0. .0..1. .1..0. .1..1. .0..0. .0..1. .0..1. .0..1. .1..0. .0..0
%e A283036 ..1..1. .0..0. .0..1. .1..0. .0..1. .0..0. .0..1. .1..0. .0..0. .1..0
%e A283036 ..0..1. .1..0. .0..1. .0..1. .1..1. .0..1. .1..0. .1..1. .1..0. .1..1
%Y A283036 Cf. A283042.
%K A283036 nonn
%O A283036 1,2
%A A283036 _R. H. Hardin_, Feb 27 2017