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Number of 3 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 05 2020 23:49:48

%S 0,5,48,567,3619,29952,205195,1668655,11923187,95858790,705043648,

%T 5616676646,42133302832,333647307242,2537702957116,20021680973470,

%U 153782369918531,1210816646023012,9365720486918309,73671711375313024

%N Number of 3 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 3 of A293100.

%H R. H. Hardin, <a href="/A293102/b293102.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

%Y Cf. A293100.

%K nonn

%O 1,2

%A _R. H. Hardin_, Sep 30 2017