A181236 T(n,k)=Number of (k*n)Xn binary matrices with all row sums equal and all column sums equal.

2, 2, 4, 2, 8, 14, 2, 22, 182, 140, 2, 72, 3362, 49772, 4322, 2, 254, 69302, 33235358, 113400002, 434542, 2, 926, 1513514, 27896484332, 5210265060002, 4027811102702, 144109562, 2, 3434, 34306274, 26012734507190, 298289608088472002

Offset: 1

Author

R. H. Hardin Oct 10 2010

Keywords

• nonn
• tabl

Comments

Table starts

............2...................2....................2..................2

............4...................8...................22.................72

...........14.................182.................3362..............69302

..........140...............49772.............33235358........27896484332

.........4322...........113400002........5210265060002.298289608088472002

.......434542.......4027811102702.90698868503010138802...................

....144109562.1237505791330809002........................................

.165431317452............................................................

Examples

			All solutions for 6X2
..0..0....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1
..0..0....0..1....0..1....0..1....0..1....1..0....1..0....1..0....1..0....1..0
..0..0....0..1....1..0....1..0....1..0....0..1....0..1....0..1....1..0....1..0
..0..0....1..0....0..1....1..0....1..0....0..1....1..0....1..0....0..1....0..1
..0..0....1..0....1..0....1..0....0..1....1..0....1..0....0..1....1..0....0..1
..0..0....1..0....1..0....0..1....1..0....1..0....0..1....1..0....0..1....1..0
...
..0..1....1..0....1..0....1..0....1..0....1..0....1..0....1..0....1..0....1..0
..1..0....0..1....0..1....0..1....0..1....0..1....0..1....1..0....1..0....1..0
..1..0....0..1....0..1....0..1....1..0....1..0....1..0....0..1....0..1....0..1
..1..0....0..1....1..0....1..0....0..1....0..1....1..0....0..1....0..1....1..0
..0..1....1..0....1..0....0..1....1..0....0..1....0..1....1..0....0..1....0..1
..0..1....1..0....0..1....1..0....0..1....1..0....0..1....0..1....1..0....0..1
...
..1..0....1..1
..1..0....1..1
..1..0....1..1
..0..1....1..1
..0..1....1..1
..0..1....1..1
		

Links

• R. H. Hardin, Table of n, a(n) for n=1..41

Crossrefs

Column 1 is A067209

Row 2 is twice A112849