%I #6 Jun 15 2020 14:30:14
%S 1,5,23,1157,107653,45416563,67756659422,330429744419500,
%T 5443538715354004433
%N Number of n X n 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.
%C Diagonal of A299366.
%e Some solutions for n=5
%e ..0..1..1..1..1. .0..1..1..1..1. .0..0..1..1..1. .0..1..1..1..1
%e ..1..1..0..0..1. .1..1..0..0..1. .1..0..1..1..1. .1..1..0..0..1
%e ..1..0..0..1..0. .0..1..0..1..0. .0..0..1..1..1. .0..1..0..1..1
%e ..1..1..0..0..1. .1..1..1..0..0. .0..1..0..0..0. .1..1..1..1..0
%e ..1..0..0..1..1. .1..1..0..0..1. .1..1..0..1..0. .1..0..1..0..0
%Y Cf. A299366.
%K nonn
%O 1,2
%A _R. H. Hardin_, Feb 08 2018