%I #4 Feb 09 2014 06:55:05
%S 316,1536,7356,36168,175768,848720,4121060,20050460,97225972,
%T 471641072,2290359200,11118632740,53953373220,261887194692,
%U 1271260706180,6170274480252,29948363314372,145366959304036,705586332210288
%N Number of (n+1)X(2+1) 0..2 arrays with the upper median plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Column 2 of A237567
%H R. H. Hardin, <a href="/A237561/b237561.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-2) +42*a(n-3) +208*a(n-4) +293*a(n-5) +900*a(n-6) -12*a(n-7) -857*a(n-8) -1583*a(n-9) -4726*a(n-10) +4946*a(n-11) +5993*a(n-12) +3312*a(n-13) +3822*a(n-14) -3319*a(n-15) -540*a(n-16) -32*a(n-17)
%e Some solutions for n=5
%e ..0..1..0....0..2..0....0..0..1....0..1..1....0..1..0....0..2..0....1..2..1
%e ..0..1..2....0..1..1....1..2..1....1..0..1....2..2..1....2..0..1....1..1..2
%e ..2..1..2....0..0..0....1..1..2....0..0..1....2..0..2....1..0..0....2..2..2
%e ..1..2..2....1..1..0....0..0..1....1..1..2....1..2..0....2..1..1....0..0..1
%e ..0..1..1....0..1..0....1..0..2....1..2..0....1..0..1....2..1..2....1..1..2
%e ..0..2..0....0..2..1....1..0..0....2..0..2....0..2..1....0..1..2....0..2..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 09 2014