%I #6 Jun 15 2020 11:26:12
%S 0,4,57,957,23932,942727,53950338,4698205702,620363350692
%N Number of n X n 0..1 arrays with every element equal to 1, 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero.
%C Diagonal of A298770.
%e Some solutions for n=5
%e ..0..0..0..0..0. .0..1..1..1..0. .0..0..0..0..0. .0..1..0..0..0
%e ..1..1..1..1..1. .0..1..1..1..0. .0..1..1..1..0. .0..1..0..0..0
%e ..1..1..1..1..1. .0..1..1..1..0. .0..1..1..1..0. .0..1..0..0..0
%e ..1..1..1..1..1. .0..0..0..0..0. .0..1..1..1..0. .0..1..1..1..1
%e ..1..1..1..1..1. .1..1..1..1..1. .0..0..0..0..0. .0..0..0..0..1
%Y Cf. A298770.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 26 2018