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A281711 Number of nX4 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.

%I A281711 #4 Jan 28 2017 13:42:33
%S A281711 2,14,38,97,245,631,1625,4234,11017,28652,74521,193836,504195,1311543,
%T A281711 3411786,8875377,23088294,60062126,156247057,406466099,1057396975,
%U A281711 2750760479,7155964344,18615901819,48428431650,125984478749,327743372244
%N A281711 Number of nX4 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.
%C A281711 Column 4 of A281715.
%H A281711 R. H. Hardin, <a href="/A281711/b281711.txt">Table of n, a(n) for n = 1..210</a>
%F A281711 Empirical: a(n) = 4*a(n-1) -2*a(n-2) -4*a(n-3) -2*a(n-4) +a(n-5) +7*a(n-6) +a(n-7) -10*a(n-8) -a(n-9) +27*a(n-10) -8*a(n-11) -18*a(n-12) +8*a(n-13) +a(n-14) -3*a(n-15) for n>16
%e A281711 Some solutions for n=4
%e A281711 ..0..0..1..1. .0..0..1..1. .0..0..1..0. .0..0..1..1. .0..0..0..1
%e A281711 ..0..0..1..1. .0..1..1..1. .0..1..0..1. .0..1..1..1. .0..0..1..0
%e A281711 ..0..1..0..1. .0..0..1..1. .1..0..1..0. .0..0..1..1. .0..1..0..1
%e A281711 ..1..0..1..0. .0..0..1..1. .0..1..0..1. .0..0..0..0. .1..0..1..0
%Y A281711 Cf. A281715.
%K A281711 nonn
%O A281711 1,1
%A A281711 _R. H. Hardin_, Jan 28 2017