%I #6 Apr 20 2020 19:40:44
%S 1,7,33,577,39064,4285397,1577145547,1561479265416
%N Number of n X n integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors exactly one smaller than itself.
%C Diagonal of A266025.
%e Some solutions for n=4
%e ..2..1..0..0....1..1..1..0....1..1..1..0....1..0..2..0....1..1..2..0
%e ..1..2..0..0....0..1..1..2....0..1..1..1....2..1..1..2....0..2..1..2
%e ..0..0..2..1....2..1..1..0....1..1..1..1....2..1..1..2....0..2..1..0
%e ..0..0..1..2....0..1..1..1....2..0..2..0....0..2..0..1....0..2..1..1
%Y Cf. A266025.
%K nonn
%O 1,2
%A _R. H. Hardin_, Dec 20 2015