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

%I #5 Jan 31 2014 05:38:20

%S 81,474,2797,16360,95961,562284,3296708,19317952,113216324,663531280,

%T 3889040836,22792434328,133579200184,782877551360,4588334140336,

%U 26891207676512,157602635364752,923673599517440,5413465738496512

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

%C Column 1 of A236780

%H R. H. Hardin, <a href="/A236775/b236775.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 40*a(n-3) +528*a(n-4) +1464*a(n-5) +4428*a(n-6) +8904*a(n-7) -696*a(n-8) -16096*a(n-9) -77216*a(n-10) -159008*a(n-11) -61184*a(n-12) -18816*a(n-13) +190976*a(n-14) +365056*a(n-15) +172032*a(n-16) +73728*a(n-17)

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 31 2014