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%I #8 Mar 31 2012 12:36:39
%S 3,6,6,11,20,11,19,57,57,19,32,146,243,146,32,53,354,905,905,354,53,
%T 87,825,3135,4848,3135,825,87,142,1873,10292,23925,23925,10292,1873,
%U 142,231,4169,32556,111085,167171,111085,32556,4169,231,375,9144,100065,494555
%N T(n,k)=Number of nXk 0..2 arrays with every row and column running average nondecreasing rightwards and downwards
%C Table starts
%C ...3.....6.....11.......19.........32..........53............87............142
%C ...6....20.....57......146........354.........825..........1873...........4169
%C ..11....57....243......905.......3135.......10292.........32556.........100065
%C ..19...146....905.....4848......23925......111085........494555........2132979
%C ..32...354...3135....23925.....167171.....1092645.......6820330.......41135050
%C ..53...825..10292...111085....1092645....10000162......87098434......731106792
%C ..87..1873..32556...494555....6820330....87098434....1056792824....12348422785
%C .142..4169.100065..2132979...41135050...731106792...12348422785...201092476918
%C .231..9144.300847..8981773..241717185..5964324991..140068079857..3178929109296
%C .375.19825.888587.37125420.1391776867.47562454949.1551453118671.49064050909052
%H R. H. Hardin, <a href="/A200534/b200534.txt">Table of n, a(n) for n = 1..198</a>
%e Some solutions for n=6 k=4
%e ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..1....0..0..0..1
%e ..0..0..1..2....0..0..0..0....0..0..0..1....0..0..1..2....0..0..1..1
%e ..0..1..1..2....0..2..2..2....0..0..0..1....0..2..1..2....0..1..2..1
%e ..0..2..2..2....1..1..1..2....1..1..1..2....0..1..2..2....0..1..1..1
%e ..0..2..1..2....1..1..2..2....2..2..2..2....2..2..2..2....0..2..2..2
%e ..0..2..2..2....2..2..2..2....1..1..2..2....1..2..2..2....1..1..2..2
%Y Column 1 is A001911(n+1)
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Nov 18 2011
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