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Number of n X n 0..1 arrays with each 1 adjacent to 0, 2 or 4 king-move neighboring 1's.
0

%I #6 Apr 26 2020 21:05:45

%S 2,9,69,1463,72533,6829945,1554755519,795154816254,873530688734201,

%T 2176677611148751106,12104489126392507688318

%N Number of n X n 0..1 arrays with each 1 adjacent to 0, 2 or 4 king-move neighboring 1's.

%C Diagonal of A296725.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A296725.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2017