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Number of 6 X n 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.
1

%I #6 Apr 05 2020 22:57:30

%S 32,467,19385,1000935,53977741,3063494246,177476886878,10461739893371,

%T 624011970319158,37553142489545970,2275676365910034413,

%U 138666493338168560209,8487568981259644635313,521456824010639311889624

%N Number of 6 X n 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.

%C Row 6 of A284334.

%H R. H. Hardin, <a href="/A284339/b284339.txt">Table of n, a(n) for n = 1..28</a>

%e Some solutions for n=3

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

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

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

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

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

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

%Y Cf. A284334.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 25 2017