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%I #4 Jan 10 2014 09:54:30
%S 81,450,450,2500,5295,2500,11100,65497,65497,11100,49284,606279,
%T 1762344,606279,49284,192474,5672018,37115629,37115629,5672018,192474,
%U 751689,42941705,785712765,1957598978,785712765,42941705,751689,2707641
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with 2X2 subblock sums lexicographically nondecreasing rowwise and nonincreasing columnwise
%C Table starts
%C .......81.........450..........2500...........11100............49284
%C ......450........5295.........65497..........606279..........5672018
%C .....2500.......65497.......1762344........37115629........785712765
%C ....11100......606279......37115629......1957598978.....105025440136
%C ....49284.....5672018.....785712765....105025440136...14016254732529
%C ...192474....42941705...13504013024...4689618011086.1644246638168226
%C ...751689...326261718..235332193767.213149442840795
%C ..2707641..2114123393.3433774399772
%C ..9753129.13717203464
%C .33291180
%H R. H. Hardin, <a href="/A235441/b235441.txt">Table of n, a(n) for n = 1..60</a>
%e Some solutions for n=2 k=4
%e ..2..0..0..0..0....1..1..0..2..0....1..0..0..1..0....0..0..0..0..0
%e ..2..1..2..0..0....1..1..0..0..0....2..2..1..1..1....1..2..0..0..0
%e ..0..2..2..0..1....0..2..2..1..0....1..0..1..1..0....2..1..0..1..0
%Y Column 1 is A204223
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 10 2014
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