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A232043 Number of n X 4 0..1 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors.

%I A232043 #7 Oct 02 2018 06:32:31
%S A232043 7,34,318,3082,29974,290672,2821630,27382537,265752221,2579134666,
%T A232043 25030650682,242923857095,2357589444796,22880536455569,
%U A232043 222056873956095,2155074272108794,20915115264627031,202982352989424279
%N A232043 Number of n X 4 0..1 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors.
%H A232043 R. H. Hardin, <a href="/A232043/b232043.txt">Table of n, a(n) for n = 1..210</a>
%F A232043 Empirical: a(n) = 7*a(n-1) + 29*a(n-2) - 15*a(n-3) - 116*a(n-4) + 17*a(n-5) + 99*a(n-6) + 12*a(n-7) - 16*a(n-8) for n>9.
%F A232043 Empirical g.f.: x*(7 - 15*x - 123*x^2 - 25*x^3 + 500*x^4 + 71*x^5 - 473*x^6 - 95*x^7 + 84*x^8) / (1 - 7*x - 29*x^2 + 15*x^3 + 116*x^4 - 17*x^5 - 99*x^6 - 12*x^7 + 16*x^8). - _Colin Barker_, Oct 02 2018
%e A232043 Some solutions for n=6:
%e A232043 ..0..0..0..0....0..0..1..0....0..0..0..0....0..0..0..1....0..0..0..1
%e A232043 ..0..1..0..1....0..0..0..0....0..1..1..0....0..0..0..1....0..0..0..1
%e A232043 ..0..0..1..0....0..1..0..1....0..0..0..1....1..0..0..1....0..0..0..0
%e A232043 ..0..0..0..0....1..0..0..0....0..1..1..0....0..0..0..0....0..0..0..0
%e A232043 ..1..0..1..1....0..0..0..0....0..0..0..0....0..0..1..0....1..1..0..0
%e A232043 ..0..0..0..0....1..1..0..0....1..1..1..1....1..1..0..0....1..0..0..1
%Y A232043 Column 4 of A232047.
%K A232043 nonn
%O A232043 1,1
%A A232043 _R. H. Hardin_, Nov 17 2013