%I #6 Jun 15 2020 14:45:47
%S 1,5,5,34,348,4315,88551,2753155,124402861,8271451947
%N Number of n X n 0..1 arrays with every element equal to 0, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
%C Diagonal of A299561.
%e Some solutions for n=5
%e ..0..0..0..0..0. .0..0..0..0..0. .0..0..0..1..1. .0..0..0..0..0
%e ..0..0..0..0..0. .0..1..1..1..0. .0..0..0..1..1. .0..0..0..0..0
%e ..0..0..0..0..0. .0..1..1..1..0. .0..0..0..1..1. .0..0..0..0..0
%e ..1..1..1..1..1. .0..1..1..1..0. .0..0..0..1..1. .0..0..0..0..0
%e ..1..1..1..1..1. .0..0..0..0..0. .0..0..0..1..1. .0..0..0..0..0
%Y Cf. A299561.
%K nonn
%O 1,2
%A _R. H. Hardin_, Feb 12 2018