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Number of (n+1)X(1+1) 0..3 arrays colored with the upper median value of each 2X2 subblock
1

%I #4 Jan 17 2014 16:45:29

%S 256,1964,13194,85476,556486,3614066,23457361,152354048,990262160,

%T 6430004688,41756569624,271256431352,1762097787460,11443841761376,

%U 74329271829200,482816708790400,3136044047363744,20368663950465184

%N Number of (n+1)X(1+1) 0..3 arrays colored with the upper median value of each 2X2 subblock

%C Column 1 of A235972

%H R. H. Hardin, <a href="/A235965/b235965.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 96*a(n-3) +752*a(n-4) +1456*a(n-5) +6180*a(n-6) +6848*a(n-7) +13712*a(n-8) +9408*a(n-9) +12288*a(n-10) for n>13

%e Some solutions for n=4

%e ..0..3....2..1....1..1....0..2....0..0....0..1....0..1....0..0....0..0....2..1

%e ..0..2....3..0....2..3....1..3....1..2....1..2....0..0....3..0....1..2....0..0

%e ..0..0....2..3....3..1....2..3....3..1....2..3....2..3....3..2....2..3....2..0

%e ..2..1....0..1....2..0....1..1....0..1....3..2....3..2....1..1....0..3....1..1

%e ..2..2....0..3....1..0....3..1....3..2....1..0....2..2....3..1....0..2....3..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 17 2014