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%I #4 Feb 17 2014 08:01:55
%S 1440,10812,81524,621780,4837484,36440340,282305082,2134998732,
%T 16538701324,124970610892,968345824398,7317821287212,56696867316476,
%U 428465558610908,3319739506259962,25087428509423164,194376018181118344
%N Number of (n+1)X(3+1) 0..2 arrays with the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Column 3 of A238046
%H R. H. Hardin, <a href="/A238041/b238041.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 35*a(n-2) +1365*a(n-4) +5818*a(n-6) -253745*a(n-8) -2515364*a(n-10) +10622583*a(n-12) +185736185*a(n-14) +215793766*a(n-16) -2565871459*a(n-18) +1332702148*a(n-20) +36260764417*a(n-22) -76174294334*a(n-24) -318514722516*a(n-26) +853854046952*a(n-28) +424255350704*a(n-30) -1871720624096*a(n-32) -110445159552*a(n-34) +754983001216*a(n-36) -22781154048*a(n-38) -449740093440*a(n-40) +150005694464*a(n-42) +20312506368*a(n-44) +3601989632*a(n-46) +1937768448*a(n-48) +134217728*a(n-50)
%e Some solutions for n=3
%e ..0..0..1..1....1..1..1..0....1..0..0..1....2..1..0..0....0..0..1..0
%e ..1..0..1..2....2..2..0..1....2..0..0..1....1..1..0..0....2..0..1..2
%e ..1..0..0..0....2..1..2..1....1..1..2..1....2..2..1..1....1..0..0..0
%e ..2..1..2..2....2..1..0..0....2..2..2..0....1..2..0..2....2..1..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 17 2014
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