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

%I #6 Oct 28 2020 19:20:27

%S 0,3,14,769,101178,42306830,51145342760,181720148100909,

%T 1885049686514472003

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

%C Diagonal of A305022.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305022.

%K nonn

%O 1,2

%A _R. H. Hardin_, May 23 2018