A183688 T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock nonsingular.

6, 12, 12, 24, 32, 24, 48, 80, 80, 48, 96, 208, 256, 208, 96, 192, 528, 832, 832, 528, 192, 384, 1360, 2688, 3472, 2688, 1360, 384, 768, 3472, 8704, 14144, 14144, 8704, 3472, 768, 1536, 8912, 28160, 58448, 73344, 58448, 28160, 8912, 1536, 3072, 22800, 91136

Offset: 1

Author

R. H. Hardin Jan 06 2011

Keywords

• nonn
• tabl

Comments

Table starts

....6....12.....24.......48........96........192.........384...........768

...12....32.....80......208.......528.......1360........3472..........8912

...24....80....256......832......2688.......8704.......28160.........91136

...48...208....832.....3472.....14144......58448......239424........986128

...96...528...2688....14144.....73344.....382848.....1992320......10382976

..192..1360...8704....58448....382848....2542368....16748160.....110871040

..384..3472..28160...239424...1992320...16748160...140090240....1174759296

..768..8912..91136...986128..10382976..110871040..1174759296...12503757968

.1536.22800.294912..4047680..54072960..731709056..9838208512..132720731392

.3072.58448.954368.16650448.281700992.4838473472.82449830016.1411193901024

Examples

			Some solutions for 4X3
..1..1..1....1..1..0....1..1..1....1..0..1....1..1..0....1..1..0....1..0..1
..1..0..1....0..1..1....1..0..1....1..1..1....0..1..1....1..0..1....0..1..0
..0..1..1....1..0..1....0..1..0....1..0..1....1..1..0....1..1..0....1..0..1
..1..1..0....0..1..1....1..1..1....1..1..1....1..0..1....0..1..1....1..1..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..721

Crossrefs

Column 1 is A003945(n+1)

Column 3 is A063727(n+2)