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A279737 Number of nX4 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.

%I A279737 #4 Dec 18 2016 07:41:11
%S A279737 2,14,106,736,4940,32430,209558,1337624,8453760,52990574,329875212,
%T A279737 2041484910,12570123264,77057213940,470543267950,2863457284456,
%U A279737 17371926764454,105101255047984,634288745035896,3819316295044450
%N A279737 Number of nX4 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.
%C A279737 Column 4 of A279741.
%H A279737 R. H. Hardin, <a href="/A279737/b279737.txt">Table of n, a(n) for n = 1..210</a>
%F A279737 Empirical: a(n) = 20*a(n-1) -166*a(n-2) +782*a(n-3) -2465*a(n-4) +5714*a(n-5) -10213*a(n-6) +14398*a(n-7) -16186*a(n-8) +14502*a(n-9) -10252*a(n-10) +5622*a(n-11) -2332*a(n-12) +704*a(n-13) -145*a(n-14) +18*a(n-15) -a(n-16) for n>17
%e A279737 Some solutions for n=4
%e A279737 ..0..1..0..1. .0..1..1..0. .0..1..0..0. .0..1..0..1. .0..1..0..1
%e A279737 ..1..0..1..1. .0..0..1..1. .0..1..1..0. .0..1..0..1. .0..1..1..0
%e A279737 ..1..0..0..0. .0..1..0..1. .0..0..1..1. .1..1..0..1. .1..0..1..0
%e A279737 ..0..1..0..1. .0..0..1..0. .1..1..0..1. .0..1..0..1. .1..1..0..1
%Y A279737 Cf. A279741.
%K A279737 nonn
%O A279737 1,1
%A A279737 _R. H. Hardin_, Dec 18 2016