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Number of n X 7 0..1 arrays with every element unequal to 0, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero.
1

%I #6 Dec 27 2023 01:13:33

%S 1,99,120,287,1436,5296,18950,76117,313593,1223755,4910872,20032709,

%T 79956642,322609167,1304677522,5257674436,21210939485,85682310404,

%U 345796184542,1395755609802,5635920794015,22752476546255,91855101525832

%N Number of n X 7 0..1 arrays with every element unequal to 0, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero.

%C Column 7 of A304952.

%H R. H. Hardin, <a href="/A304951/b304951.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304952.

%K nonn

%O 1,2

%A _R. H. Hardin_, May 22 2018