%I #6 Jun 15 2020 15:02:15
%S 1,5,31,1308,135586,55414033,85265831295,430615712168102,
%T 7378237279248881087
%N Number of n X n 0..1 arrays with every element equal to 0, 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
%C Diagonal of A299893.
%e Some solutions for n=5
%e ..0..1..0..0..1. .0..0..0..0..1. .0..1..1..1..0. .0..0..1..0..1
%e ..0..0..0..0..0. .0..0..1..0..0. .0..0..1..0..0. .0..1..1..0..0
%e ..0..1..1..1..1. .0..0..0..0..1. .0..0..1..0..0. .0..0..1..1..0
%e ..1..1..0..1..0. .0..1..1..0..0. .1..1..1..1..0. .1..0..0..0..0
%e ..1..0..0..0..0. .0..0..1..1..0. .1..0..1..0..0. .0..0..1..0..0
%Y Cf. A299893.
%K nonn
%O 1,2
%A _R. H. Hardin_, Feb 21 2018