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%I #5 Mar 31 2012 12:36:48
%S 2,3,3,4,8,4,5,17,17,5,6,37,66,37,6,7,73,235,235,73,7,8,151,824,1526,
%T 824,151,8,9,293,2848,9325,9325,2848,293,9,10,598,9520,57255,103806,
%U 57255,9520,598,10,11,1159,31648,342295,1126437,1126437,342295,31648,1159,11
%N T(n,k)=Number of nXk 0,1 arrays with the row and column sums nondecreasing
%C Table starts
%C ..2....3......4........5...........6.............7..............8
%C ..3....8.....17.......37..........73...........151............293
%C ..4...17.....66......235.........824..........2848...........9520
%C ..5...37....235.....1526........9325.........57255.........342295
%C ..6...73....824.....9325......103806.......1126437.......12176148
%C ..7..151...2848....57255.....1126437......22360610......436020774
%C ..8..293...9520...342295....12176148.....436020774....15635171834
%C ..9..598..31648..2048759...130217215....8531393529...557315843073
%C .10.1159.104536.12097875..1384437590..165372103634.19890838348436
%C .11.2358.339553.71623580.14638759530.3209822188135
%H R. H. Hardin, <a href="/A202560/b202560.txt">Table of n, a(n) for n = 1..127</a>
%e Some solutions for n=8 k=3
%e ..0..1..1....0..1..0....0..0..0....0..0..1....0..0..1....0..0..0....0..0..0
%e ..1..1..0....0..0..1....0..1..0....1..0..0....0..1..0....0..1..0....0..1..1
%e ..1..0..1....0..0..1....0..0..1....0..0..1....0..0..1....0..1..0....0..1..1
%e ..0..1..1....1..0..0....0..1..0....0..0..1....0..1..0....1..0..0....1..0..1
%e ..0..1..1....0..0..1....1..0..1....0..1..0....0..0..1....0..0..1....0..1..1
%e ..1..0..1....0..1..0....0..1..1....0..1..0....1..1..0....1..0..1....1..0..1
%e ..1..1..0....0..0..1....0..1..1....0..1..0....1..1..0....0..1..1....1..1..0
%e ..1..0..1....1..0..0....1..1..1....1..0..0....1..0..1....0..1..1....0..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Dec 21 2011
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