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

%I #4 Jan 18 2014 20:18:48

%S 81,360,1616,7016,31616,138988,620552,2734804,12176064,53818764,

%T 239177944,1058421796,4698785664,20810853180,92335672184,409124696372,

%U 1814626300736,8042404490476,35664530623384,158086995532676

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

%C Column 1 of A236065

%H R. H. Hardin, <a href="/A236058/b236058.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-3) +173*a(n-4) +268*a(n-5) +1216*a(n-6) +1260*a(n-7) +2128*a(n-8) +1296*a(n-9) -3968*a(n-10) -1024*a(n-11) -12288*a(n-12) +256*a(n-13) -6144*a(n-14)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 18 2014