%I #6 Apr 21 2021 13:04:26
%S 1,8,51,1015,30116,1929041,223336353,50789138692,21840171519903,
%T 18066655662899887,28530669418446423314,86301791696353013652605
%N Number of (n+2) X (n+2) 0..1 arrays with no element equal to all horizontal neighbors or equal to all vertical neighbors, and new values 0..1 introduced in row major order.
%C Diagonal of A238654.
%e Some solutions for n=5
%e ..0..1..0..0..1..1..0....0..1..0..0..1..1..0....0..1..0..1..0..0..1
%e ..1..0..1..1..0..0..1....1..0..1..1..0..0..1....1..0..1..0..1..1..0
%e ..0..1..0..0..1..0..1....0..1..0..1..1..0..1....1..0..0..1..1..0..1
%e ..1..0..0..1..0..1..0....0..1..1..0..0..1..0....0..1..1..0..0..1..0
%e ..1..0..1..1..0..0..1....1..0..0..1..1..0..1....0..1..0..0..1..0..1
%e ..0..1..0..0..1..1..0....1..0..1..1..0..1..0....1..0..0..1..0..1..0
%e ..1..0..1..1..0..0..1....0..1..0..0..1..0..1....0..1..1..0..1..0..1
%Y Cf. A238654.
%K nonn
%O 1,2
%A _R. H. Hardin_, Mar 02 2014