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Number of nX6 0..1 arrays with no 1 equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element.
1

%I #4 Feb 27 2017 08:59:51

%S 12,924,30378,931844,26180826,706205768,18455711930,471954803540,

%T 11868995624930,294610925837548,7236339162353190,176211017312981820,

%U 4259949495613038410,102354621908646110164,2446336908511893682666

%N Number of nX6 0..1 arrays with no 1 equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element.

%C Column 6 of A283042.

%H R. H. Hardin, <a href="/A283040/b283040.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

%Y Cf. A283042.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 27 2017