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Number of n X 3 0..1 arrays with the number of 1's horizontally 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 22:42:44

%S 3,13,70,467,3224,23218,170155,1264605,9488108,71718240,545264052,

%T 4165262662,31943452900,245786167555,1896529843618,14669730799547,

%U 113713016901442,883107039574428,6869733556332042,53519589494550372

%N Number of n X 3 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.

%C Column 3 of A284222.

%H R. H. Hardin, <a href="/A284217/b284217.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A284222.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 23 2017