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Number of n X 7 0..1 arrays with every element equal to 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
1

%I #6 Mar 18 2023 23:12:23

%S 0,104,3051,72751,4309263,197267780,9743385598,481541186894,

%T 23753464370841,1177165425219598,58266046167978416,

%U 2886208357543956203,142961429483327026603,7081556077991924024988,350792681281930188956328

%N Number of n X 7 0..1 arrays with every element equal to 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 7 of A299602.

%H R. H. Hardin, <a href="/A299601/b299601.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299602.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 14 2018