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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 two less than the number of 0's adjacent to some 1.
1

%I #6 Apr 06 2020 00:08:43

%S 0,520,30837,1710994,96199260,5589631828,328979478088,19603705394914,

%T 1178814839256659,71387656909124036,4347717462205577512,

%U 266011573509307925450,16337878757403766119544,1006670823452543129707514

%N Number of 6 X n 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

%C Row 6 of A293100.

%H R. H. Hardin, <a href="/A293105/b293105.txt">Table of n, a(n) for n = 1..28</a>

%e Some solutions for n=3

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

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

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

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

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

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

%Y Cf. A293100.

%K nonn

%O 1,2

%A _R. H. Hardin_, Sep 30 2017