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

%I #6 Nov 06 2020 19:15:26

%S 1,5,14,77,649,5408,64658,1241359,29268593,960816363,47443906836,

%T 3123256208489,282016871368240,36794768206114222

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

%C Diagonal of A305347.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305347.

%K nonn

%O 1,2

%A _R. H. Hardin_, May 30 2018