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%I #7 Jan 04 2017 13:32:03
%S 0,2,14,74,358,1666,7582,33978,150486,660210,2873870,12427562,
%T 53438534,228667234,974321278,4135894426,17498014902,73809808338,
%U 310510228206,1303124892170,5456835485990,22804685613122,95128117129054
%N Number of nX2 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.
%C Column 2 of A280398.
%H R. H. Hardin, <a href="/A280392/b280392.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 10*a(n-1) -33*a(n-2) +40*a(n-3) -16*a(n-4).
%F Empirical: a(n) = 4^n*n/18 -4*n/9 +2*4^n/27 -2/27. - _R. J. Mathar_, Jan 04 2017
%F Empirical g.f.: -2*x^2*(-1+3*x) / ( (4*x-1)^2*(x-1)^2 ). - _R. J. Mathar_, Jan 04 2017
%e Some solutions for n=4
%e ..0..1. .0..1. .0..0. .0..0. .0..0. .0..1. .0..0. .0..0. .0..0. .0..0
%e ..1..0. .1..0. .0..1. .0..1. .0..1. .1..1. .0..1. .1..1. .0..1. .1..1
%e ..0..0. .0..2. .1..2. .1..1. .1..0. .1..2. .2..2. .0..0. .1..1. .1..0
%e ..0..0. .2..2. .1..1. .1..0. .0..2. .2..2. .2..2. .0..2. .1..2. .1..1
%Y Cf. A280398.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 02 2017
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