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Number of n X n 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element.
0

%I #6 Apr 26 2020 20:44:20

%S 0,4,169,6812,945100,226897932,129997769458,172466774677716,

%T 522509795096193625,3748613500011644923440,62982260120608888164984371

%N Number of n X n 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element.

%C Diagonal of A283572.

%e Some solutions for n=4

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

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

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

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

%Y Cf. A283572.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 11 2017