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Number of n X n 0..1 arrays with each 1 adjacent to 3, 4 or 6 king-move neighboring 1's.
0

%I #6 Apr 26 2020 21:09:56

%S 1,2,8,46,852,74534,11172600,5380073625,8482089381228

%N Number of n X n 0..1 arrays with each 1 adjacent to 3, 4 or 6 king-move neighboring 1's.

%C Diagonal of A297020.

%e Some solutions for n=6

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

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

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

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

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

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

%Y Cf. A297020.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 23 2017