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Number of n X n 0..1 arrays with every element equal to 0, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.
0

%I #6 Jun 15 2020 11:20:25

%S 1,1,9,4,65,1112,26343,3833927,1239155011,967049306590

%N Number of n X n 0..1 arrays with every element equal to 0, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.

%C Diagonal of A298589.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A298589.

%K nonn

%O 1,3

%A _R. H. Hardin_, Jan 22 2018