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Number of (n+1)X(1+1) 0..2 arrays colored with the maximum plus the lower median minus the upper median of every 2X2 subblock
1

%I #5 Jan 30 2014 05:55:38

%S 81,426,2285,12076,64277,340944,1814328,9631020,51194672,271870052,

%T 1444934368,7675375072,40784882096,216663323008,1151214951968,

%U 6116060404960,32495699325440,172643724320704,917267767532288

%N Number of (n+1)X(1+1) 0..2 arrays colored with the maximum plus the lower median minus the upper median of every 2X2 subblock

%C Column 1 of A236704

%H R. H. Hardin, <a href="/A236698/b236698.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-3) +352*a(n-4) +916*a(n-5) +3728*a(n-6) +10464*a(n-7) +16592*a(n-8) +26464*a(n-9) +20624*a(n-10) +6240*a(n-11) +2048*a(n-12) -5632*a(n-13)

%e Some solutions for n=5

%e ..1..2....2..0....1..1....1..0....2..2....1..0....0..2....2..0....0..1....1..1

%e ..0..0....1..1....2..1....1..0....1..2....1..2....0..2....2..0....2..0....0..1

%e ..2..0....1..0....0..2....1..2....1..2....0..2....1..1....0..1....0..0....1..0

%e ..0..2....2..1....2..0....2..0....0..1....0..0....1..1....1..0....1..1....2..0

%e ..1..0....0..2....2..2....0..0....2..2....1..1....0..0....0..2....2..0....0..2

%e ..1..2....0..2....0..1....1..1....2..1....1..0....2..0....0..2....1..0....2..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 30 2014