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Number of n X 7 0..1 arrays with every element unequal to 1, 2, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
1

%I #6 Jun 18 2022 15:56:47

%S 8,102,329,2321,20502,155972,1122773,8679924,65844976,507320695,

%T 3880082075,29828690068,228795498352,1756171508386,13486852207318,

%U 103512846881063,794948107621166,6103334633903798,46863181424234369

%N Number of n X 7 0..1 arrays with every element unequal to 1, 2, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 7 of A318214.

%H R. H. Hardin, <a href="/A318213/b318213.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A318214.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 21 2018