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Number of n X 7 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.
1

%I #6 May 15 2023 14:37:13

%S 21,348,227,15694,72678,1177545,25625864,356815204,6737133411,

%T 128991872363,2248913609180,41521302814764,780978669606475,

%U 14143827089702850,261123558952089715,4852602843700239495

%N Number of n X 7 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.

%C Column 7 of A298154.

%H R. H. Hardin, <a href="/A298153/b298153.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A298154.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 13 2018