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Number of nX4 0..1 arrays with every element unequal to 0, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Aug 13 2018 14:31:20

%S 1,3,21,140,905,6179,42793,297043,2056698,14234986,98543469,682235511,

%T 4723208829,32699080489,226377712742,1567228238886,10850029939485,

%U 75115505261838,520029800880263,3600202027360686,24924446019234303

%N Number of nX4 0..1 arrays with every element unequal to 0, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A318045.

%H R. H. Hardin, <a href="/A318041/b318041.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A318041/a318041.txt">Empirical recurrence of order 72</a>

%F Empirical recurrence of order 72 (see link above)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A318045.

%K nonn

%O 1,2

%A _R. H. Hardin_, Aug 13 2018