%I #6 Jun 15 2020 11:27:13
%S 1,1,6,4,37,562,9889,1477645,403292040,309941364263
%N Number of n X n 0..1 arrays with every element equal to 0, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.
%C Diagonal of A298782.
%e Some solutions for n=5
%e ..0..0..0..1..1. .0..1..1..1..1. .0..0..1..0..0. .0..0..1..0..1
%e ..0..0..0..1..1. .1..1..0..1..1. .0..0..0..0..0. .0..0..0..0..0
%e ..1..1..1..0..0. .1..0..0..0..1. .1..1..1..1..1. .1..1..1..0..1
%e ..1..1..1..0..0. .1..1..0..1..1. .1..1..1..1..1. .1..1..1..0..0
%e ..1..1..1..0..0. .1..1..1..1..1. .1..1..1..1..1. .1..1..1..0..0
%Y Cf. A298782.
%K nonn
%O 1,3
%A _R. H. Hardin_, Jan 26 2018