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A221031 Majority value maps: number of n X 4 binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal and antidiagonal neighbors in a random 0..2 n X 4 array.

%I A221031 #8 Nov 20 2014 10:35:31
%S A221031 7,119,1733,24485,345755,4882030,68933905,973340015,13743460075,
%T A221031 194056216948,2740053437074,38689267213364,546288396106862,
%U A221031 7713534869291859,108914303513829210,1537858544870732685
%N A221031 Majority value maps: number of n X 4 binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal and antidiagonal neighbors in a random 0..2 n X 4 array.
%C A221031 Column 4 of A221035.
%H A221031 R. H. Hardin, <a href="/A221031/b221031.txt">Table of n, a(n) for n = 1..210</a>
%F A221031 Empirical: a(n) = 22*a(n-1) -139*a(n-2) +446*a(n-3) -825*a(n-4) +817*a(n-5) -168*a(n-6) -528*a(n-7) +480*a(n-8) +48*a(n-9) -208*a(n-10) +64*a(n-11) for n>12.
%e A221031 Some solutions for n=3:
%e A221031 ..1..1..1..1....0..1..1..0....1..0..0..0....1..1..0..1....0..0..0..1
%e A221031 ..0..0..0..1....1..1..1..1....0..0..0..1....1..0..0..1....0..1..1..1
%e A221031 ..1..1..1..0....1..0..1..1....1..0..0..0....1..1..0..0....1..1..0..0
%Y A221031 Cf. A221035.
%K A221031 nonn
%O A221031 1,1
%A A221031 _R. H. Hardin_, Dec 29 2012