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 A279742 Number of 2 X n 0..1 arrays with no element equal 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. 1

%I

%S 0,2,6,14,26,48,84,146,250,426,722,1220,2056,3458,5806,9734,16298,

%T 27256,45532,75986,126690,211042,351266,584204,970896,1612418,2676054,

%U 4438526,7357370,12188736,20181732,33398930,55244746,91336218,150937586

%N Number of 2 X n 0..1 arrays with no element equal 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.

%H R. H. Hardin, <a href="/A279742/b279742.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) - a(n-2) - 3*a(n-3) + a(n-4) + a(n-5).

%F Empirical g.f.: 2*x^2*(1 - x^2 - 2*x^3) / ((1 - x)*(1 - x - x^2)^2). - _Colin Barker_, Feb 11 2019

%e Some solutions for n=4:

%e ..0..0..1..0. .0..1..0..0. .0..1..1..0. .0..1..1..0. .0..1..1..0

%e ..1..0..1..0. .1..0..1..0. .0..0..1..1. .0..1..0..1. .1..0..1..0

%Y Row 2 of A279741.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 18 2016

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Last modified July 20 05:19 EDT 2019. Contains 325168 sequences. (Running on oeis4.)