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Number of nX7 0..1 arrays with every element unequal to 1, 2, 5, 6 or 7 king-move adjacent elements, with upper left element zero.
1

%I #4 May 26 2018 18:38:42

%S 8,22,49,71,140,836,1750,5407,19965,44251,150549,488420,1217938,

%T 3981440,12553050,34234337,106068538,331125859,954603491,2861242231,

%U 8832265881,26265684299,77767182950,237076601097,715625119985,2119273438439

%N Number of nX7 0..1 arrays with every element unequal to 1, 2, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 7 of A305182.

%H R. H. Hardin, <a href="/A305181/b305181.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305182.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 26 2018