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Number of n X 3 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 #7 Apr 05 2020 23:17:24

%S 1,8,105,550,5105,30918,265920,1773432,14632372,103605826,834224969,

%T 6128787272,48666035225,365893476096,2883831290602,22005412864334,

%U 172812531531152,1331535174196624,10442072847350585,80985489140322402

%N Number of n X 3 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 Column 3 of A285750.

%H R. H. Hardin, <a href="/A285745/b285745.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A285750.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 25 2017