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Number of 7 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 00:09:23

%S 0,2088,202363,25504769,2804027631,331401441383,38469698642410,

%T 4639160801369811,553541878970691305,67495383900522580833,

%U 8184590699346266638663,1005200402879395725773000

%N Number of 7 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 7 of A293100.

%H R. H. Hardin, <a href="/A293106/b293106.txt">Table of n, a(n) for n = 1..14</a>

%e Some solutions for n=2

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

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

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

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

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

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

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

%Y Cf. A293100.

%K nonn

%O 1,2

%A _R. H. Hardin_, Sep 30 2017