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%I #5 Feb 09 2014 07:04:00
%S 256,1876,13924,103264,769680,5705156,42501300,315065200,2347267424,
%T 17400203636,129631996580,960959725312,7159191300272,53070925060004,
%U 395380448791316,2930946979641872,21835672557183872,161867373265982548
%N Number of (n+1)X(1+1) 0..3 arrays with the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Column 1 of A237574
%H R. H. Hardin, <a href="/A237569/b237569.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 23*a(n-2) +1473*a(n-4) +15833*a(n-6) +60176*a(n-8) +65344*a(n-10) -70656*a(n-12) -139264*a(n-14) for n>15
%e Some solutions for n=4
%e ..2..3....1..1....2..1....1..1....3..2....2..2....2..2....3..2....3..3....0..2
%e ..1..1....1..3....3..2....0..3....1..1....2..2....1..1....1..1....0..1....2..1
%e ..3..3....1..2....1..1....3..2....3..0....1..1....1..3....1..0....1..0....3..2
%e ..2..0....0..1....1..0....2..0....1..0....3..1....0..0....0..3....0..0....0..1
%e ..2..2....3..0....2..3....1..0....3..3....3..2....3..0....3..3....1..3....0..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 09 2014
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