A220323 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..3 nXk array

1, 2, 2, 4, 10, 4, 7, 35, 35, 7, 12, 132, 243, 132, 12, 21, 497, 1887, 1887, 497, 21, 37, 1881, 15189, 32077, 15189, 1881, 37, 65, 7102, 116448, 516966, 516966, 116448, 7102, 65, 114, 26812, 909903, 8191676, 17237047, 8191676, 909903, 26812, 114, 200

Offset

1,2

Comments

Table starts

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

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

...4.....35.....243......1887.....15189....116448......909903....7061662

...7....132....1887.....32077....516966...8191676...129313715.2038349283

..12....497...15189....516966..17237047.546937739.17492054331

..21...1881..116448...8191676.546937739

..37...7102..909903.129313715

..65..26812.7061662

.114.101196

.200

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

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

Crossrefs

Column 1 is A005251(n+2)

Column 2 is A220255

Sequence in context: A295040 A295531 A220259 * A295416 A202802 A059473

Adjacent sequences: A220320 A220321 A220322 * A220324 A220325 A220326

Keyword

nonn,tabl

Author

R. H. Hardin Dec 10 2012

Status

approved