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

%I #6 Nov 06 2020 19:14:21

%S 1,4,11,166,1185,26577,342596,9804507,220905716,9470663034,

%T 400580293516

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

%C Diagonal of A305281.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305281.

%K nonn

%O 1,2

%A _R. H. Hardin_, May 29 2018