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Number of nX5 0..1 arrays with every element equal to 1, 2, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
1

%I #4 Feb 13 2018 11:16:58

%S 3,23,47,237,766,3324,15186,56870,234074,1011095,4133704,17000454,

%T 71053058,295453260,1223130039,5077714327,21113301094,87637341300,

%U 363724250504,1510870009169,6274481387942,26050726753999,108178878898716

%N Number of nX5 0..1 arrays with every element equal to 1, 2, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 5 of A299574.

%H R. H. Hardin, <a href="/A299571/b299571.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A299574.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 13 2018