A236028 - OEIS

%I #5 Jan 18 2014 15:28:29

%S 81,384,1848,8856,42724,205660,990076,4760380,22914572,110251484,

%T 530698540,2553224764,12288328268,59125817692,284558412524,

%U 1369212514940,6589395415436,31707191199388,152589046499116,734250990732732

%N Number of (n+1)X(1+1) 0..2 arrays colored with the difference of the upper median and the lower median in each 2X2 subblock

%C Column 1 of A236035

%H R. H. Hardin, <a href="/A236028/b236028.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-2) +4*a(n-3) +192*a(n-4) +324*a(n-5) +696*a(n-6) +1808*a(n-7) +1312*a(n-8) +1152*a(n-9) +1024*a(n-10)

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 18 2014