%I #4 Feb 14 2014 07:53:32
%S 336,1944,11454,68830,405758,2385956,14144254,84226372,497945422,
%T 2940973430,17431426946,103443591278,612177964814,3621788292858,
%U 21459113612280,127184449153574,753001553319016,4457885969403098
%N Number of (n+1)X(2+1) 0..2 arrays with the upper median plus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Column 2 of A237868
%H R. H. Hardin, <a href="/A237862/b237862.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 48*a(n-3) +764*a(n-4) +1113*a(n-5) +2630*a(n-6) -1330*a(n-7) -76808*a(n-8) -103834*a(n-9) +42139*a(n-10) +213170*a(n-11) +624044*a(n-12) +404402*a(n-13) -474767*a(n-14) -1195423*a(n-15) -845864*a(n-16) -233832*a(n-17) -278031*a(n-18) +2684781*a(n-19) -785243*a(n-20) +690749*a(n-21) +16053*a(n-22) -191039*a(n-23) -140612*a(n-24) -402983*a(n-25) +152122*a(n-26) -120738*a(n-27) -14602*a(n-28) +3372*a(n-29) +2280*a(n-30) -1368*a(n-31) +264*a(n-32) +128*a(n-33)
%e Some solutions for n=4
%e ..1..2..2....1..1..0....2..0..2....2..0..0....0..2..0....1..0..0....2..0..2
%e ..2..1..2....1..2..1....2..2..1....1..0..2....0..1..1....2..1..2....1..0..0
%e ..1..1..2....2..1..1....1..2..1....0..0..1....2..1..2....1..1..2....2..1..2
%e ..0..1..1....1..1..0....1..0..0....1..1..2....1..1..0....2..0..0....1..1..2
%e ..0..2..2....2..0..1....0..2..2....2..2..0....2..0..2....1..0..1....2..0..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 14 2014
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