%I
%S 0,2,61,8554,2662095,5675111511,35072966294346,1096128160677176696,
%T 121691314711314375091217
%N Number of n X n 0..1 arrays with the number of 1's horizontally, antidiagonally or vertically adjacent to some 0 two less than the number of 0's adjacent to some 1.
%C Diagonal of A289651.
%e Some solutions for n=4
%e ..0..1..0..1. .1..1..0..0. .0..1..0..1. .0..0..1..1. .0..0..0..1
%e ..0..1..0..1. .1..1..0..1. .0..0..0..0. .1..1..0..0. .1..1..0..1
%e ..1..0..0..0. .1..0..1..1. .0..0..1..0. .0..1..0..0. .0..0..1..1
%e ..1..0..0..0. .0..0..0..0. .1..1..1..1. .1..0..0..1. .0..1..0..0
%Y Cf. A289651.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jul 09 2017
