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Number of n X 4 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 23:17:57

%S 2,44,630,8544,125088,1835412,27339964,410644956,6209001966,

%T 94379911740,1441030936810,22084845714940,339564086313454,

%U 5235658587223164,80926601563138862,1253589943179659024,19456171723796564164

%N Number of n X 4 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 4 of A285750.

%H R. H. Hardin, <a href="/A285746/b285746.txt">Table of n, a(n) for n = 1..164</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A285750.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 25 2017