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%I #8 Jul 31 2018 07:22:22
%S 2,6,23,75,241,777,2512,8132,26335,85263,276002,893434,2892149,
%T 9362316,30307241,98109034,317593232,1028095430,3328094579,
%U 10773527296,34875478670,112897008686,365464073909,1183060479295,3829739222562
%N Majority value maps: number of n X 2 binary arrays indicating the locations of corresponding elements equal to at least half of their king-move neighbors in a random 0..1 n X 2 array.
%C Column 2 of A220217.
%H R. H. Hardin, <a href="/A220213/b220213.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) + 2*a(n-2) + 3*a(n-3) + 7*a(n-4) + 9*a(n-5) + 12*a(n-6) + 11*a(n-7) + 4*a(n-8) + 4*a(n-9).
%F Empirical g.f.: x*(2 + 2*x + 7*x^2 + 11*x^3 + 13*x^4 + 16*x^5 + 12*x^6 + 5*x^7 + 4*x^8) / (1 - 2*x - 2*x^2 - 3*x^3 - 7*x^4 - 9*x^5 - 12*x^6 - 11*x^7 - 4*x^8 - 4*x^9). - _Colin Barker_, Jul 31 2018
%e Some solutions for n=3:
%e ..0..1....1..0....0..0....0..0....1..1....1..1....0..0....1..1....1..0....0..1
%e ..1..1....0..0....0..0....1..0....1..0....1..0....0..0....0..1....1..1....1..1
%e ..1..1....0..0....0..0....1..1....0..0....1..1....0..1....0..0....0..1....0..1
%Y Cf. A220217.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 07 2012
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