%I
%S 81,288,1024,3840,14400,53760,200704,752640,2822400,10536960,39337984,
%T 147517440,553190400,2065244160,7710244864,28913418240,108425318400,
%U 404787855360,1511207993344,5667029975040,21251362406400,79338419650560
%N Number of (n+1)X(1+1) 0..2 arrays with the maximum plus the upper median plus the lower median plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Column 1 of A237375
%H R. H. Hardin, <a href="/A237368/b237368.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 196*a(n4) for n>6
%e Some solutions for n=5
%e ..2..2....0..2....0..1....0..2....1..1....2..1....2..0....2..2....0..2....2..1
%e ..2..0....2..2....2..1....1..2....1..1....1..2....2..0....2..1....1..2....2..2
%e ..1..2....2..1....2..0....0..1....1..0....1..1....1..2....2..1....2..1....2..0
%e ..0..1....1..2....0..2....0..2....1..2....2..0....1..2....2..0....2..2....2..1
%e ..1..1....0..2....0..1....0..2....1..1....0..1....0..2....2..2....2..0....2..1
%e ..0..0....2..0....1..2....1..2....2..2....1..2....2..0....2..1....1..2....2..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 07 2014
