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Number of n X 6 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 22:53:29

%S 19,419,18114,966889,53435287,3063494246,179138039472,10629901713799,

%T 637390912071364,38521588005900251,2342438993189208497,

%U 143142503770615128210,8782493512066047546985,540663386186525386713156

%N Number of n X 6 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 Column 6 of A284334.

%H R. H. Hardin, <a href="/A284332/b284332.txt">Table of n, a(n) for n = 1..47</a>

%e Some solutions for n=3

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

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

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

%Y Cf. A284334.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 25 2017