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Number of n X 7 0..1 arrays with every element equal to 0, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
1

%I #6 Mar 10 2022 20:47:33

%S 1,130,121,734,3919,18032,88551,451972,2321249,12137569,63355517,

%T 331023922,1728150269,9030802400,47208375405,246881037203,

%U 1291394949698,6756128612030,35346832154347,184937519180936,967629683194543

%N Number of n X 7 0..1 arrays with every element equal to 0, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 7 of A299561.

%H R. H. Hardin, <a href="/A299560/b299560.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299561.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 12 2018