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Number of n X 2 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 two less than the number of 0's adjacent to some 1.
2

%I #7 Apr 05 2020 21:35:43

%S 0,0,5,30,126,520,2088,8192,32083,125728,492331,1927334,7545086,

%T 29542032,115713230,453479812,1778221568,6976989468,27390464896,

%U 107590106636,422842742731,1662688326476,6541232413273,25746371202362,101384373381977

%N Number of n X 2 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 two less than the number of 0's adjacent to some 1.

%C Column 2 of A286979.

%H R. H. Hardin, <a href="/A286973/b286973.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A286979.

%K nonn

%O 1,3

%A _R. H. Hardin_, May 17 2017