%I #6 Mar 08 2023 13:35:00
%S 81,984,12014,83436,721854,5016852,42143930,257895268,2084528746,
%T 12713615332,102302637674,609602834160,4861186951014,29162489418784,
%U 231673032285662,1389160154318372
%N Number of (n+1) X (n+1) 0..2 arrays with the maximum plus the minimum of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.
%C Diagonal of A237234.
%e Some solutions for n=4
%e ..1..0..2..1..2....1..0..2..2..1....0..0..2..2..0....1..1..2..1..0
%e ..1..1..2..1..0....0..0..1..1..0....0..1..1..2..2....1..0..1..2..2
%e ..1..1..1..0..1....0..0..1..1..1....2..1..0..1..2....2..1..0..1..1
%e ..2..1..1..1..2....0..1..2..1..1....1..2..1..1..0....2..2..1..1..1
%e ..2..0..0..2..2....0..2..1..0..1....0..1..1..1..0....0..2..2..0..0
%Y Cf. A237234.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 05 2014