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Number of n X 3 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.
1

%I #6 Apr 05 2020 23:28:43

%S 0,5,50,538,3932,32253,238532,1875212,14222474,110768815,851356180,

%T 6619388000,51243150110,398853561051,3101596551513,24188042117410,

%U 188685917890136,1474444397004861,11529364760294089,90260751863587788

%N Number of n X 3 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 3 of A286979.

%H R. H. Hardin, <a href="/A286974/b286974.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A286979.

%K nonn

%O 1,2

%A _R. H. Hardin_, May 17 2017