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A281209 Number of 5 X n 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

%I A281209 #7 Feb 18 2019 08:16:31
%S A281209 0,130,448,676,1141,1906,3137,5160,8510,14084,23379,38894,64795,
%T A281209 108022,180126,300318,500525,833770,1388053,2309332,3839550,6379528,
%U A281209 10592935,17578086,29151695,48317346,80038622,132514530,219282785,362687074
%N A281209 Number of 5 X n 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.
%H A281209 R. H. Hardin, <a href="/A281209/b281209.txt">Table of n, a(n) for n = 1..210</a>
%F A281209 Empirical: a(n) = 4*a(n-1) - 4*a(n-2) - 2*a(n-3) + 4*a(n-4) - a(n-6) for n>11.
%F A281209 Empirical g.f.: x^2*(130 - 72*x - 596*x^2 + 489*x^3 + 422*x^4 - 363*x^5 - 56*x^6 + 114*x^7 + 10*x^8 - 4*x^9) / ((1 - x)^2*(1 - x - x^2)^2). - _Colin Barker_, Feb 18 2019
%e A281209 Some solutions for n=4:
%e A281209 ..0..1..0..1. .0..0..0..1. .0..1..0..0. .0..0..0..1. .0..1..1..0
%e A281209 ..0..1..0..1. .1..1..0..1. .0..1..1..0. .0..1..0..1. .0..0..1..0
%e A281209 ..1..0..1..0. .0..1..0..1. .0..0..1..0. .1..0..1..0. .1..0..1..0
%e A281209 ..1..0..0..1. .0..1..0..1. .1..1..1..0. .1..0..1..0. .1..1..0..1
%e A281209 ..1..1..0..1. .0..1..0..0. .0..0..1..1. .1..0..1..0. .0..1..0..1
%Y A281209 Row 5 of A281205.
%K A281209 nonn
%O A281209 1,2
%A A281209 _R. H. Hardin_, Jan 17 2017