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Number of n X 7 0..1 arrays with every element unequal to 1, 2, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
1

%I #6 Apr 26 2021 19:40:33

%S 8,22,33,73,353,925,3547,14118,43745,173690,619516,2147913,8153824,

%T 28790735,103815980,382085808,1363770884,4956454784,18012376227,

%U 64822077441,235449812312,852438681934,3079887721936,11169200595881

%N Number of n X 7 0..1 arrays with every element unequal to 1, 2, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 7 of A305516.

%H R. H. Hardin, <a href="/A305515/b305515.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305516.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 03 2018