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%I #4 Feb 08 2014 06:09:39
%S 356,2308,14968,99086,651906,4259914,27861088,183385520,1204325662,
%T 7888272520,51703064498,339590886580,2228614232926,14611384819402,
%U 95829344877344,628938894654416,4126515883377788,27064861657856340
%N Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the lower median minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Column 2 of A237472
%H R. H. Hardin, <a href="/A237466/b237466.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 70*a(n-3) +1053*a(n-4) +1879*a(n-5) +5530*a(n-6) -1147*a(n-7) -108738*a(n-8) -155485*a(n-9) +35869*a(n-10) +101903*a(n-11) +100682*a(n-12) -23634*a(n-13) -19682*a(n-14)
%e Some solutions for n=4
%e ..1..1..0....2..1..1....2..2..2....2..1..1....1..0..0....1..1..1....0..1..0
%e ..2..1..1....1..2..1....2..1..0....0..2..1....2..1..2....0..0..1....0..0..1
%e ..0..2..0....2..2..0....0..2..1....2..0..2....0..0..1....2..1..0....0..2..2
%e ..0..2..1....1..1..1....2..0..2....1..2..0....2..0..2....1..0..2....0..1..2
%e ..1..0..1....2..0..1....0..1..1....2..2..1....1..0..2....2..2..0....2..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 08 2014