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

1,1

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

Links

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

Example

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

Crossrefs

Column 1 is A003945(n+1)

Column 3 is A063727(n+2)

Sequence in context: A323332 A330922 A330921 * A298016 A055595 A132632

Adjacent sequences: A183685 A183686 A183687 * A183689 A183690 A183691

Keyword

nonn,tabl

Author

R. H. Hardin Jan 06 2011

Status

approved