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Number of n X n 0..1 arrays with the number of 1's king-move adjacent to some 0 one less than the number of 0's adjacent to some 1.
0

%I #6 Apr 06 2020 00:34:34

%S 0,0,102,3384,4190874,3177012844,45913351929099,746140228341333064,

%T 140666601117969492988244

%N Number of n X n 0..1 arrays with the number of 1's king-move adjacent to some 0 one less than the number of 0's adjacent to some 1.

%C Diagonal of A284455.

%e Some solutions for n=4

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

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

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

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

%Y Cf. A284455.

%K nonn

%O 1,3

%A _R. H. Hardin_, Mar 27 2017