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

%I #4 Feb 05 2014 06:21:51

%S 28176,477144,8433384,163330432,2917434432,51846897952,936224849104,

%T 18672666559360,339066019397152,6092798602997504,111770577368471328,

%U 2280258602003570688,41947564959167642688,759810246767623997952

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

%C Column 5 of A237249

%H R. H. Hardin, <a href="/A237246/b237246.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 601964*a(n-4) -147113300164*a(n-8) +18655117037895360*a(n-12) -1293038821096525341376*a(n-16) +46410219023590225771445760*a(n-20) -674073521525048603011166105600*a(n-24) +411303559317872351216848896000*a(n-28) +21059951299587196983422156800000*a(n-32) +20445970197492715314216960000000*a(n-36) for n>41

%e Some solutions for n=1

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 05 2014