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Number of n X n 0..1 arrays with every element equal to 1, 2, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero.
0

%I #6 Jun 15 2020 14:38:06

%S 0,4,113,5663,755157,268557163,242153450727,559748405767601,

%T 3321492538123718147

%N Number of n X n 0..1 arrays with every element equal to 1, 2, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Diagonal of A299398.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299398.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 09 2018