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%I #7 Mar 31 2012 12:36:41
%S 6,21,21,69,196,69,219,1630,1630,219,679,12776,33540,12776,679,2070,
%T 96511,642953,642953,96511,2070,6235,709506,11757774,29830782,
%U 11757774,709506,6235,18608,5112134,207535740,1307781737,1307781737,207535740
%N T(n,k)=Number of nXk 0..5 arrays with every row and column running average nondecreasing rightwards and downwards
%C Table starts
%C ......6.........21...........69............219..............679
%C .....21........196.........1630..........12776............96511
%C .....69.......1630........33540.........642953.........11757774
%C ....219......12776.......642953.......29830782.......1307781737
%C ....679......96511.....11757774.....1307781737.....136335515996
%C ...2070.....709506....207535740....54981059192...13551445405790
%C ...6235....5112134...3568229516..2243416408567.1303531416951055
%C ..18608...36238976..60064451704.89423476817120
%C ..55148..253579683.994081203872
%C .162532.1755615191
%H R. H. Hardin, <a href="/A200831/b200831.txt">Table of n, a(n) for n = 1..71</a>
%e Some solutions for n=5 k=3
%e ..0..0..0....0..0..3....0..0..1....0..0..2....0..0..1....0..0..1....0..0..0
%e ..0..0..0....0..0..5....0..0..4....0..0..4....0..0..3....0..0..1....0..0..1
%e ..0..0..4....0..0..4....0..0..5....0..0..3....0..0..3....0..1..3....0..0..5
%e ..0..0..2....0..2..4....1..1..5....0..1..4....1..2..3....0..2..4....0..1..3
%e ..2..5..5....0..4..4....1..1..4....2..5..5....3..3..5....2..5..4....0..2..5
%Y Column 1 is A200761
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Nov 23 2011
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