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Number of (n+1)X(5+1) 0..2 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
1

%I #4 Feb 07 2014 05:07:01

%S 27280,455160,7660840,141627680,2375768088,39693722016,680588692128,

%T 12934636122240,219580118935904,3692772114256256,64137636239898368,

%U 1246751006045992448,21365120289913813888,360851292390185877504

%N Number of (n+1)X(5+1) 0..2 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

%C Column 5 of A237384

%H R. H. Hardin, <a href="/A237381/b237381.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 487230*a(n-4) -96874832872*a(n-8) +10049955022453696*a(n-12) -573253988925348500864*a(n-16) +17038220734292882493998592*a(n-20) -206295313016077660067436834816*a(n-24) +5525442105707292677995972591616*a(n-28) -55027023762468144665997552386048*a(n-32) +62521104542558466945103995863040*a(n-36) for n>41

%e Some solutions for n=1

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 07 2014