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%I #5 Feb 18 2014 08:16:54
%S 256,1810,12981,94458,687254,4977790,36125717,262009080,1902689356,
%T 13793932488,100152908224,726176038552,5272782009672,38229547221928,
%U 277581361120444,2012592670155936,14613326239922048,105952842547441728
%N Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Column 1 of A238145
%H R. H. Hardin, <a href="/A238140/b238140.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 1808*a(n-4) +44640*a(n-6) +335068*a(n-8) -484208*a(n-10) -15068144*a(n-12) -32087616*a(n-14) +167504512*a(n-16) +586957568*a(n-18) -435685376*a(n-20) -3412492288*a(n-22) -1807720448*a(n-24) +6958792704*a(n-26) +9003270144*a(n-28) +190054400*a(n-30) -3628072960*a(n-32) -1132462080*a(n-34)
%e Some solutions for n=4
%e ..2..1....1..0....3..2....2..0....0..3....0..1....2..1....1..3....2..3....0..3
%e ..2..0....1..1....1..3....2..2....1..2....1..2....2..2....1..0....2..3....0..1
%e ..1..3....3..1....3..3....1..2....3..1....1..1....0..0....2..2....3..3....2..3
%e ..1..3....3..0....1..0....1..2....0..2....2..0....1..0....2..2....2..2....3..0
%e ..0..3....3..2....2..2....0..2....0..3....2..2....1..1....3..3....0..0....3..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 18 2014
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