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%I #7 Jun 22 2022 01:21:10
%S 81,537,3199,17837,95679,498597,2546207,12796069,63520287,312150917,
%T 1521435839,7364501157,35440920159,169704498117,809104150911,
%U 3843034229093,18192875333663,85871684446085,404259277931583
%N Number of (n+1) X (1+1) 0..2 arrays with the difference of the upper and lower median value of each 2 X 2 subblock in lexicographically nondecreasing order rowwise and columnwise.
%C Column 1 of A235565.
%H R. H. Hardin, <a href="/A235560/b235560.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 9*a(n-1) -9*a(n-2) -109*a(n-3) +254*a(n-4) +260*a(n-5) -1156*a(n-6) +576*a(n-7) +944*a(n-8) -1024*a(n-9) +256*a(n-10).
%e Some solutions for n=5
%e ..1..0....1..1....2..0....2..0....0..0....1..0....0..1....2..2....1..1....1..2
%e ..0..1....0..0....0..0....1..1....0..0....1..2....1..1....2..2....1..0....1..1
%e ..0..1....1..2....0..2....2..1....1..0....1..2....1..2....2..0....1..2....1..0
%e ..0..2....2..1....2..1....2..2....1..0....2..1....2..2....2..2....0..0....1..0
%e ..1..2....0..0....0..2....1..2....0..1....2..1....1..1....1..0....2..1....2..0
%e ..1..2....2..2....0..2....0..1....2..2....0..2....2..2....1..0....0..0....0..2
%Y Cf. A235565.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 12 2014