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%I #9 Jun 28 2018 18:55:57
%S 6,36,174,922,5202,29180,163706,919924,5171420,29068726,163403454,
%T 918546962,5163485576,29025793202,163164480016,917206531060,
%U 5155949803838,28983459159770,162926511803678,915868877073788
%N Number of n X 2 0..2 arrays with no average of any element and its horizontal and vertical neighbors equal to one.
%H R. H. Hardin, <a href="/A200573/b200573.txt">Table of n, a(n) for n = 1..210</a>
%H Robert Israel, <a href="/A200573/a200573.pdf">Maple-assisted proof of empirical formula</a>
%F Empirical: a(n) = 5*a(n-1) +8*a(n-2) -20*a(n-3) -23*a(n-4) -52*a(n-5) +25*a(n-6) +254*a(n-7) +62*a(n-8) -134*a(n-9) -88*a(n-10) -360*a(n-11) +176*a(n-12) -168*a(n-13) +184*a(n-14).
%F Empirical formula confirmed by _Robert Israel_, Jun 28 2018 (see link).
%e Some solutions for n=5
%e ..1..2....2..0....1..1....0..1....2..0....2..2....2..1....0..0....0..1....2..1
%e ..2..2....0..0....2..2....1..0....0..2....0..1....2..2....1..1....0..0....2..2
%e ..0..1....0..0....1..2....0..1....2..0....0..2....0..0....0..0....2..2....1..0
%e ..0..2....1..2....0..0....0..1....1..2....1..0....1..1....1..0....2..2....0..0
%e ..0..0....2..2....2..0....0..0....2..2....2..2....1..0....2..2....2..1....1..1
%Y Column 2 of A200579.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 19 2011
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