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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 equal to the number of 0's adjacent to some 1, with top left element zero.
1

%I #6 Apr 05 2020 22:56:14

%S 8,42,415,5130,68458,966889,13941789,204883324,3047634270,45762072338,

%T 692220227870,10532157295267,161005503857341,2470999756894057,

%U 38049394554096755,587563040419449964,9095438545580032870

%N Number of 4 X n 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.

%C Row 4 of A284334.

%H R. H. Hardin, <a href="/A284337/b284337.txt">Table of n, a(n) for n = 1..128</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A284334.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 25 2017