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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 one less than the number of 0's adjacent to some 1.
1

%I #6 Apr 05 2020 23:21:41

%S 0,14,105,630,4850,31276,250592,1727836,13831303,99330350,789537708,

%T 5828000730,46064702150,346391183886,2727741658914,20778683750294,

%U 163289874109963,1255321900392396,9855914786067634,76271581305888386

%N Number of 3 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 3 of A285750.

%H R. H. Hardin, <a href="/A285752/b285752.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

%Y Cf. A285750.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 25 2017