A220259 T(n,k)=Majority value maps: number of nXk binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal and vertical neighbors in a random 0..2 nXk array

1, 2, 2, 4, 10, 4, 7, 35, 35, 7, 12, 132, 243, 132, 12, 21, 497, 1875, 1875, 497, 21, 37, 1881, 15150, 31917, 15150, 1881, 37, 65, 7102, 115776, 512622, 512622, 115776, 7102, 65, 114, 26812, 903439, 8112068, 17112081, 8112068, 903439, 26812, 114, 200

Offset

1,2

Comments

Table starts

...1......2.......4.........7........12........21........37.........65......114

...2.....10......35.......132.......497......1881......7102......26812...101196

...4.....35.....243......1875.....15150....115776....903439....7005461.54249716

...7....132....1875.....31917....512622...8112068.127838919.2013005761

..12....497...15150....512622..17112081.541819065

..21...1881..115776...8112068.541819065

..37...7102..903439.127838919

..65..26812.7005461

.114.101196

.200

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

Some solutions for n=3 k=4
..0..1..0..1....0..0..0..0....0..0..0..1....1..0..1..1....0..1..1..1
..0..1..0..0....0..0..0..0....0..1..0..0....1..0..1..1....0..0..1..0
..0..0..0..1....1..1..1..0....0..0..1..1....1..1..0..1....1..0..1..0

Crossrefs

Column 1 is A005251(n+2)

Sequence in context: A296643 A295040 A295531 * A220323 A295416 A202802

Adjacent sequences: A220256 A220257 A220258 * A220260 A220261 A220262

Keyword

nonn,tabl

Author

R. H. Hardin Dec 08 2012

Status

approved