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

%I #6 Apr 05 2020 23:22:18

%S 0,52,550,8544,119506,1729212,25450414,379892924,5724356600,

%T 86870686676,1325147534394,20298649626624,312012262489322,

%U 4809932665481580,74334215199171600,1151283153187656576,17865166558629037394

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

%C Row 4 of A285750.

%H R. H. Hardin, <a href="/A285753/b285753.txt">Table of n, a(n) for n = 1..130</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A285750.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 25 2017