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%I #4 Jan 27 2014 17:47:28
%S 16,52,52,160,264,160,476,1256,1256,476,1392,5670,9212,5670,1392,4020,
%T 25023,63208,63208,25023,4020,11520,108214,421516,655460,421516,
%U 108214,11520,32828,462970,2728079,6591144,6591144,2728079,462970,32828,93200
%N T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the difference of the upper median and minimum value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise
%C Table starts
%C .....16.......52........160..........476...........1392.............4020
%C .....52......264.......1256.........5670..........25023...........108214
%C ....160.....1256.......9212........63208.........421516..........2728079
%C ....476.....5670......63208.......655460........6591144.........63997604
%C ...1392....25023.....421516......6591144.......99655626.......1448355717
%C ...4020...108214....2728079.....63997604.....1448355717......31459840764
%C ..11520...462970...17385844....610630403....20627269098.....668463714817
%C ..32828..1962897..109182283...5723134951...287546676233...13878535769685
%C ..93200..8278491..680017778..53126385011..3961701125458..284431385172713
%C .263892.34768983.4204683204.488732268982.53967671743495.5756312538787583
%H R. H. Hardin, <a href="/A236523/b236523.txt">Table of n, a(n) for n = 1..162</a>
%F Empirical for column k:
%F k=1: a(n) = 4*a(n-1) -a(n-2) -8*a(n-3) +4*a(n-4)
%F k=2: [order 15]
%F k=3: [order 37]
%F k=4: [order 82]
%e Some solutions for n=3 k=4
%e ..1..1..0..1..0....1..0..1..0..0....0..1..1..0..1....0..0..0..1..0
%e ..0..0..1..0..1....0..1..1..1..1....0..1..0..1..0....1..1..1..1..1
%e ..0..0..0..1..0....1..0..1..0..1....1..0..1..1..0....1..0..1..0..1
%e ..0..0..0..1..1....0..1..0..1..0....0..1..0..1..0....1..1..1..1..1
%Y Column 1 is A235653
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 27 2014
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