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%I #6 Feb 01 2014 07:17:35
%S 81,287,1069,4131,16153,63867,253269,1008347,4017129,16029051,
%T 63964053,255428971,1020001673,4074620555,16277074485,65036521755,
%U 259868094441,1038512291675,4150437015637,16589196684619,66311024500553
%N Number of (n+1)X(1+1) 0..2 arrays with the maximum plus the upper median minus the lower median of every 2X2 subblock equal
%C Column 1 of A236875
%H R. H. Hardin, <a href="/A236868/b236868.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) +13*a(n-2) -169*a(n-3) +51*a(n-4) +1481*a(n-5) -1425*a(n-6) -5803*a(n-7) +7222*a(n-8) +10368*a(n-9) -14764*a(n-10) -7052*a(n-11) +12456*a(n-12) +464*a(n-13) -3232*a(n-14) +128*a(n-15) +256*a(n-16)
%e Some solutions for n=5
%e ..1..0....2..1....1..1....0..2....2..0....1..2....0..0....0..0....1..2....2..0
%e ..2..1....0..0....1..2....1..2....1..1....2..2....1..2....1..2....0..2....1..1
%e ..1..1....1..2....1..0....0..2....1..2....2..2....0..2....1..2....0..1....1..2
%e ..2..1....2..0....1..2....1..0....1..1....1..2....2..1....2..1....2..2....0..1
%e ..1..1....2..1....1..0....0..2....1..2....0..1....0..2....0..2....0..1....0..1
%e ..2..1....0..0....0..1....1..0....1..1....1..0....0..1....2..1....0..2....1..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 01 2014