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Number of 3 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 22:55:28

%S 4,13,49,373,2259,18114,120058,959041,6725380,53524100,389145239,

%T 3078502323,22909373317,180462930528,1364622501692,10722180215723,

%U 81993405397067,643447267719348,4960055945696896,38910411283028492

%N Number of 3 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 3 of A284334.

%H R. H. Hardin, <a href="/A284336/b284336.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

%Y Cf. A284334.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 25 2017