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Number of 4 X n 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1.
1

%I #6 Apr 05 2020 23:15:09

%S 0,56,786,11574,159060,2284666,33371602,495256266,7426444716,

%T 112236717358,1706444466326,26070175620594,399870502837122,

%U 6153779131538066,94972379110894900,1469319459956729810

%N Number of 4 X n 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1.

%C Row 4 of A285152.

%H R. H. Hardin, <a href="/A285155/b285155.txt">Table of n, a(n) for n = 1..176</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A285152.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 12 2017