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%I #6 Jun 15 2020 14:46:33
%S 0,3,15,78,766,17389,784334,46965400,5736969146,1349947112124
%N Number of n X n 0..1 arrays with every element equal to 1, 2, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
%C Diagonal of A299574.
%e Some solutions for n=6
%e ..0..1..0..0..0..1. .0..1..1..0..1..0. .0..1..0..0..0..1. .0..0..0..0..1..0
%e ..0..0..1..1..1..0. .0..0..0..0..1..0. .0..0..1..1..1..0. .1..0..0..0..0..1
%e ..0..0..1..1..1..0. .1..1..0..0..0..1. .0..0..1..1..1..1. .0..1..1..1..1..0
%e ..1..0..1..1..1..0. .0..0..0..0..0..1. .0..0..1..1..1..1. .0..1..1..1..0..1
%e ..1..1..1..0..1..1. .1..0..0..0..0..1. .0..0..1..0..1..1. .0..1..1..1..1..0
%e ..0..0..0..1..0..0. .1..1..0..0..1..0. .0..1..1..0..0..1. .1..0..0..0..0..1
%Y Cf. A299574.
%K nonn
%O 1,2
%A _R. H. Hardin_, Feb 13 2018