%I
%S 27,729,19503,485397,11824875,284888979,6833010879,163568332743,
%T 3912114851403,93531877981317,2235810654452229,53441462708600373,
%U 1277342856184156383,30530250826564614987,729710332031305316823
%N Number of nX3 0..2 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X4 0..2 array.
%C Column 3 of A228977.
%H R. H. Hardin, <a href="/A228973/b228973.txt">Table of n, a(n) for n = 1..60</a>
%e Some solutions for n=4
%e ..0..1..1....0..1..0....0..1..1....0..0..0....0..0..1....0..1..1....0..0..1
%e ..0..2..2....2..0..2....2..1..2....2..2..1....1..0..1....2..0..1....2..0..0
%e ..1..0..1....2..2..0....1..2..2....1..1..0....1..1..1....0..1..0....2..0..2
%e ..0..1..0....2..0..2....1..0..0....0..0..1....0..1..1....0..1..2....0..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Sep 10 2013
