A202601 T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 000 in rows and columns

126, 510, 510, 1968, 3150, 1968, 7722, 18160, 18160, 7722, 30114, 107510, 157952, 107510, 30114, 117708, 629790, 1402544, 1402544, 629790, 117708, 459690, 3704980, 12360432, 18741086, 12360432, 3704980, 459690, 1795842, 21758550, 109234112

Offset

1,1

Comments

Table starts

......126........510.........1968............7722.............30114

......510.......3150........18160..........107510............629790

.....1968......18160.......157952.........1402544..........12360432

.....7722.....107510......1402544........18741086.........248094210

....30114.....629790.....12360432.......248094210........4938195402

...117708....3704980....109234112......3296516444.......98603761284

...459690...21758550....964348880.....43736102410.....1966507686990

..1795842..127872530...8516820112....580619927134....39237140832414

..7014816..751278240..75206974464...7706084873760...782749612707552

.27402198.4414434310.664144023888.102287204459830.15616275975432006

Links

R. H. Hardin, Table of n, a(n) for n = 1..609

Example

Some solutions for n=2 k=3
..1..1..0..1..1....0..1..1..1..1....1..1..1..1..1....1..0..1..1..1
..1..1..1..1..1....1..1..1..0..1....1..1..1..1..1....1..1..1..1..0
..0..1..1..0..0....1..0..1..1..0....1..1..1..1..1....0..1..1..1..1
..1..0..1..1..0....1..1..1..1..0....0..1..1..1..0....1..1..1..1..0

Crossrefs

Sequence in context: A241270 A135192 A154039 * A202594 A245992 A267566

Adjacent sequences: A202598 A202599 A202600 * A202602 A202603 A202604

Keyword

nonn,tabl

Author

R. H. Hardin Dec 21 2011

Status

approved