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Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

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`%I #4 Feb 02 2014 07:15:33
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`%S 360,2376,15552,104976,699840,4618944,30233088,204073344,1360488960,
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`%T 8979227136,58773123072,396718580736,2644790538240,17455617552384,
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`%U 114254951251968,771220920950784,5141472806338560,33933720521834496
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`%N Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
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`%C Column 2 of A236997
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`%H R. H. Hardin, <a href="/A236991/b236991.txt">Table of n, a(n) for n = 1..210</a>
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`%F Empirical: a(n) = 1944*a(n-4)
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`%e Some solutions for n=4
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`%e ..0..1..0....1..0..2....1..1..2....2..0..0....0..2..0....2..1..1....1..2..1
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`%e ..0..1..1....2..1..0....0..0..0....1..1..0....1..1..0....2..1..2....1..1..0
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`%e ..0..2..0....1..1..0....1..2..0....1..2..1....0..1..0....0..2..1....2..0..0
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`%e ..2..0..1....2..0..2....0..1..0....0..1..1....1..2..2....0..0..0....1..0..2
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`%e ..0..1..0....1..2..2....0..0..1....0..2..0....2..0..0....1..2..2....1..2..1
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`%K nonn
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`%O 1,1
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`%A _R. H. Hardin_, Feb 02 2014
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