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%I #7 Feb 21 2019 11:36:15
%S 0,0,10,60,242,1032,4220,16376,62564,235728,875630,3220084,11746262,
%T 42545240,153181664,548710320,1956760904,6950669984,24604072658,
%U 86824376236,305540509370,1072522794920,3756266150212,13128230615656
%N Number of 2 X n 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element.
%H R. H. Hardin, <a href="/A283727/b283727.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n-1) - 7*a(n-2) - 31*a(n-4) + 14*a(n-5) + 51*a(n-6) + 52*a(n-7) + 12*a(n-8) - 96*a(n-9) - 64*a(n-10).
%F Empirical g.f.: 2*x^3*(1 - 2*x)*(1 + 2*x)*(5 - 4*x^2) / ((1 + x + 2*x^2)^2*(1 - 4*x + x^2 + 4*x^3)^2). - _Colin Barker_, Feb 21 2019
%e Some solutions for n=4:
%e ..0..1..1..1. .1..1..0..1. .0..1..0..0. .0..1..1..0. .1..1..1..1
%e ..0..0..0..1. .0..1..1..1. .1..1..1..1. .0..1..0..1. .0..1..0..1
%Y Row 2 of A283726.
%K nonn
%O 1,3
%A _R. H. Hardin_, Mar 15 2017
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