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A202560 T(n,k)=Number of nXk 0,1 arrays with the row and column sums nondecreasing.

%I A202560 #7 Jul 22 2025 16:39:31
%S A202560 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 A202560 824,151,8,9,293,2848,9325,9325,2848,293,9,10,598,9520,57255,103806,
%U A202560 57255,9520,598,10,11,1159,31648,342295,1126437,1126437,342295,31648,1159,11
%N A202560 T(n,k)=Number of nXk 0,1 arrays with the row and column sums nondecreasing.
%C A202560 Table starts
%C A202560 ..2....3......4........5...........6.............7..............8
%C A202560 ..3....8.....17.......37..........73...........151............293
%C A202560 ..4...17.....66......235.........824..........2848...........9520
%C A202560 ..5...37....235.....1526........9325.........57255.........342295
%C A202560 ..6...73....824.....9325......103806.......1126437.......12176148
%C A202560 ..7..151...2848....57255.....1126437......22360610......436020774
%C A202560 ..8..293...9520...342295....12176148.....436020774....15635171834
%C A202560 ..9..598..31648..2048759...130217215....8531393529...557315843073
%C A202560 .10.1159.104536.12097875..1384437590..165372103634.19890838348436
%C A202560 .11.2358.339553.71623580.14638759530.3209822188135
%H A202560 R. H. Hardin, <a href="/A202560/b202560.txt">Table of n, a(n) for n = 1..127</a>
%e A202560 Some solutions for n=8 k=3
%e A202560 ..0..1..1....0..1..0....0..0..0....0..0..1....0..0..1....0..0..0....0..0..0
%e A202560 ..1..1..0....0..0..1....0..1..0....1..0..0....0..1..0....0..1..0....0..1..1
%e A202560 ..1..0..1....0..0..1....0..0..1....0..0..1....0..0..1....0..1..0....0..1..1
%e A202560 ..0..1..1....1..0..0....0..1..0....0..0..1....0..1..0....1..0..0....1..0..1
%e A202560 ..0..1..1....0..0..1....1..0..1....0..1..0....0..0..1....0..0..1....0..1..1
%e A202560 ..1..0..1....0..1..0....0..1..1....0..1..0....1..1..0....1..0..1....1..0..1
%e A202560 ..1..1..0....0..0..1....0..1..1....0..1..0....1..1..0....0..1..1....1..1..0
%e A202560 ..1..0..1....1..0..0....1..1..1....1..0..0....1..0..1....0..1..1....0..1..1
%K A202560 nonn,tabl
%O A202560 1,1
%A A202560 _R. H. Hardin_ Dec 21 2011