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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.
0

%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