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%I #5 Jan 29 2014 14:19:25
%S 256,2896,32424,370352,4235056,48229536,549313480,6261494544,
%T 71367397200,813298398848,9268602995176,105631275036528,
%U 1203833778123600,13719487336424928,156354509776304744,1781900315719572176
%N Number of (n+1)X(1+1) 0..3 arrays colored with the sum of the upper and lower median values of each 2X2 subblock
%C Column 1 of A236657
%H R. H. Hardin, <a href="/A236654/b236654.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 32*a(n-2) +510*a(n-3) +4422*a(n-4) +20562*a(n-5) +76184*a(n-6) +152730*a(n-7) -90401*a(n-8) -1395282*a(n-9) -5373988*a(n-10) -8188928*a(n-11) +9036688*a(n-12) +47478176*a(n-13) +64503872*a(n-14) +4474624*a(n-15) -119940096*a(n-16) -162693120*a(n-17) -71368704*a(n-18)
%e Some solutions for n=3
%e ..2..2....2..0....0..0....2..1....0..0....3..2....1..2....3..2....3..2....1..2
%e ..1..0....0..2....1..2....2..3....3..2....3..2....2..0....1..1....0..2....1..3
%e ..0..3....3..1....1..0....3..2....2..0....1..1....2..0....3..1....3..3....1..3
%e ..1..3....3..1....2..3....1..0....1..2....3..3....2..3....0..3....1..1....2..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 29 2014
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