A183407 - OEIS

%I #5 Mar 31 2012 12:35:51

%S 1,2,2,3,7,3,6,21,21,6,10,78,114,78,10,20,260,850,850,260,20,35,988,

%T 5354,12203,5354,988,35,70,3458,40832,154079,154079,40832,3458,70,126,

%U 13300,274911,2291035,3770481,2291035,274911,13300,126,252,47880,2120988

%N T(n,k)=Number of nXk binary arrays with each sum of a(1..i,1..j) no greater than i*j/2

%C Table starts

%C ...1......2.........3............6.............10................20

%C ...2......7........21...........78............260...............988

%C ...3.....21.......114..........850...........5354.............40832

%C ...6.....78.......850........12203.........154079...........2291035

%C ..10....260......5354.......154079........3770481.........112353512

%C ..20....988.....40832......2291035......112353512........6583423572

%C ..35...3458....274911.....30897341.....2965955665......348054260961

%C ..70..13300...2120988....467710777....89945894383....20844200882158

%C .126..47880..14827787...6547006490..2477411142245..1149400416641961

%C .252.185535.115207396.100186985054.75930571035939.69745557672260827

%H R. H. Hardin, <a href="/A183407/b183407.txt">Table of n, a(n) for n = 1..158</a>

%e Some solutions for 5X4

%e ..0..1..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..1

%e ..0..0..0..1....1..0..0..1....0..1..1..0....0..0..1..1....0..0..1..0

%e ..0..1..1..0....0..1..0..1....1..0..0..1....0..1..0..1....1..0..1..0

%e ..0..0..0..1....0..0..0..0....0..0..1..1....1..1..0..0....1..1..0..0

%e ..1..0..1..1....0..0..1..1....1..0..0..0....1..1..1..0....0..1..1..0

%Y Column 1 is A001405

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Jan 04 2011