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Number of n X n 0..1 arrays with every element equal to 0, 1, 2, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.
0

%I #6 Jun 15 2020 15:09:45

%S 1,7,20,211,15171,1676663,543024998,558233828840,1538341448830389

%N Number of n X n 0..1 arrays with every element equal to 0, 1, 2, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Diagonal of A300314.

%e Some solutions for n=5

%e ..0..0..0..0..0. .0..1..1..1..1. .0..1..1..1..0. .0..1..0..1..0

%e ..1..1..1..1..1. .1..1..1..0..1. .0..0..0..0..1. .0..1..1..1..0

%e ..0..0..0..0..0. .1..1..1..1..1. .0..0..0..0..1. .1..1..1..0..1

%e ..1..0..0..1..0. .1..1..1..1..1. .0..1..1..1..0. .1..1..1..1..0

%e ..0..0..0..0..0. .1..0..0..0..1. .1..1..1..0..1. .0..1..1..1..1

%Y Cf. A300314.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 02 2018