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%I #4 Mar 24 2013 10:28:19
%S 2,4,3,7,11,4,11,35,26,5,16,98,147,57,6,22,260,751,574,120,7,29,643,
%T 3560,5303,2114,247,8,37,1563,15778,45580,35413,7504,502,9,46,3631,
%U 67030,371569,557432,228401,26050,1013,10,56,8407,274631,2888847,8313608
%N T(n,k)=Number of nXk 0..1 arrays with row sums nondecreasing and column sums unimodal
%C Table starts
%C ..2....4......7........11.........16..........22...........29...........37
%C ..3...11.....35........98........260.........643.........1563.........3631
%C ..4...26....147.......751.......3560.......15778........67030.......274631
%C ..5...57....574......5303......45580......371569......2888847.....21682470
%C ..6..120...2114.....35413.....557432.....8313608....119085643...1641434223
%C ..7..247...7504....228401....6555965...180713080...4777458798.122344224851
%C ..8..502..26050...1437511...75329449..3825884676.187876185946
%C ..9.1013..88627...8898472..847768800.79714938310
%C .10.2036.296989..54437857.9404270528
%C .11.4083.985303.330381980
%H R. H. Hardin, <a href="/A223625/b223625.txt">Table of n, a(n) for n = 1..97</a>
%e Some solutions for n=3 k=4
%e ..0..0..0..0....0..1..0..0....1..0..0..0....1..1..0..0....0..0..0..0
%e ..0..1..1..0....0..1..1..0....0..0..1..0....1..1..1..1....0..1..1..0
%e ..0..1..1..0....0..1..0..1....0..1..0..0....1..1..1..1....1..1..1..1
%Y Column 1 is A000027(n+1)
%Y Column 2 is A000295(n+2)
%Y Row 1 is A000124
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Mar 24 2013
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