A184197 T(n,k)=Half the number of (n+1)X(k+1) binary arrays with no 2X2 subblock containing exactly one 1

6, 19, 19, 60, 104, 60, 190, 561, 561, 190, 602, 3050, 5074, 3050, 602, 1908, 16581, 46514, 46514, 16581, 1908, 6048, 90185, 425802, 723635, 425802, 90185, 6048, 19172, 490546, 3901193, 11226643, 11226643, 3901193, 490546, 19172, 60776, 2668339

Offset

1,1

Comments

Table starts

......6.......19..........60............190..............602

.....19......104.........561...........3050............16581

.....60......561........5074..........46514...........425802

....190.....3050.......46514.........723635.........11226643

....602....16581......425802.......11226643........294738261

...1908....90185.....3901193......174401423.......7751834608

...6048...490546....35741495.....2708892872.....203828058160

..19172..2668339...327471410....42079740149....5360172454105

..60776.14514611..3000373034...653660484007..140957350430161

.192664.78953456.27490276713.10153933128956.3706813750652670

Links

R. H. Hardin, Table of n, a(n) for n = 1..391

Example

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

Crossrefs

Sequence in context: A119986 A245869 A370155 * A173568 A012589 A009048

Adjacent sequences: A184194 A184195 A184196 * A184198 A184199 A184200

Keyword

nonn,tabl

Author

R. H. Hardin Jan 10 2011

Status

approved