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%I #4 Jan 15 2014 13:15:04
%S 81,537,537,3199,7331,3199,17837,86691,86369,17837,95679,922543,
%T 1998795,924323,95679,498597,9242949,40810011,41559689,9324103,498597,
%U 2546207,88065309,775083193,1647458581,807571787,89825051,2546207,12796069
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise
%C Table starts
%C ........81.........537..........3199..........17837...........95679
%C .......537........7331.........86691.........922543.........9242949
%C ......3199.......86369.......1998795.......40810011.......775083193
%C .....17837......924323......41559689.....1647458581.....60893670493
%C .....95679.....9324103.....807571787....62858483545...4645650679435
%C ....498597....89825051...14878043073..2297557298259.350192741862675
%C ...2546207...837434835..263391351981.81417506954285
%C ..12796069..7600810347.4508888392477
%C ..63520287.67576585873
%C .312150917
%H R. H. Hardin, <a href="/A235784/b235784.txt">Table of n, a(n) for n = 1..60</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 10]
%F k=2: [order 59]
%F Empirical for row n:
%F n=1: [linear recurrence of order 10]
%F n=2: [order 49]
%e Some solutions for n=2 k=4
%e ..0..0..0..0..2....0..0..0..2..1....0..0..1..1..1....0..1..2..0..2
%e ..0..1..1..2..0....0..1..0..0..0....2..1..0..0..0....2..1..0..0..1
%e ..2..1..1..1..1....1..1..2..0..2....1..2..2..1..2....1..0..0..1..1
%Y Column 1 and row 1 are A235560
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 15 2014
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