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A202742 T(n,k)=Number of nXk 0..1 arrays with row sums equal and column sums unequal to adjacent columns.

%I A202742 #7 Jul 22 2025 16:48:43
%S A202742 2,2,2,2,2,2,2,6,8,2,2,22,38,10,2,2,54,140,86,32,2,2,102,638,838,282,
%T A202742 44,2,2,214,3032,6870,5092,1074,128,2,2,582,14258,62398,75302,29680,
%U A202742 2802,186,2,2,1590,70136,613950,1375912,827502,183220,8694,512,2,2,3814
%N A202742 T(n,k)=Number of nXk 0..1 arrays with row sums equal and column sums unequal to adjacent columns.
%C A202742 Table starts
%C A202742 .2...2.....2........2...........2............2.............2.............2
%C A202742 .2...2.....6.......22..........54..........102...........214...........582
%C A202742 .2...8....38......140.........638.........3032.........14258.........70136
%C A202742 .2..10....86......838........6870........62398........613950.......6018166
%C A202742 .2..32...282.....5092.......75302......1375912......24620522.....472929952
%C A202742 .2..44..1074....29680......827502.....27842760.....967878370...35772388788
%C A202742 .2.128..2802...183220.....8870150....578826040...37121438930.2639009446600
%C A202742 .2.186..8694..1061814....93402390..11600238174.1401569558590
%C A202742 .2.512.30170..6630116...969837470.239443637912
%C A202742 .2.772.82286.39048472.10133577294
%H A202742 R. H. Hardin, <a href="/A202742/b202742.txt">Table of n, a(n) for n = 1..110</a>
%e A202742 Some solutions for n=5 k=3
%e A202742 ..1..0..1....1..1..0....0..1..0....1..0..0....0..0..1....1..0..1....1..0..0
%e A202742 ..1..1..0....1..0..1....0..1..0....0..0..1....0..0..1....1..0..1....1..0..0
%e A202742 ..1..1..0....1..1..0....1..0..0....1..0..0....0..0..1....1..1..0....0..1..0
%e A202742 ..1..0..1....1..0..1....0..1..0....1..0..0....0..1..0....1..0..1....1..0..0
%e A202742 ..1..1..0....1..0..1....0..1..0....0..0..1....0..0..1....0..1..1....0..1..0
%K A202742 nonn,tabl
%O A202742 1,1
%A A202742 _R. H. Hardin_ Dec 23 2011