A220308 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, vertical and antidiagonal neighbors in a random 0..1 nXk array

1, 2, 2, 4, 7, 4, 7, 26, 26, 7, 12, 86, 166, 86, 12, 21, 291, 1132, 1132, 291, 21, 37, 980, 7467, 14385, 7467, 980, 37, 65, 3309, 49463, 186321, 186321, 49463, 3309, 65, 114, 11161, 327682, 2397801, 4661685, 2397801, 327682, 11161, 114, 200, 37656, 2171860

Offset

1,2

Comments

Table starts

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

...2......7.......26........86........291........980.......3309.....11161

...4.....26......166......1132.......7467......49463.....327682...2171860

...7.....86.....1132.....14385.....186321....2397801...30848544.397008439

..12....291.....7467....186321....4661685..116782114.2922680937

..21....980....49463...2397801..116782114.5674222365

..37...3309...327682..30848544.2922680937

..65..11161..2171860.397008439

.114..37656.14390221

.200.127036

.351

Links

R. H. Hardin, Table of n, a(n) for n = 1..70

Example

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

Crossrefs

Column 1 is A005251(n+2)

Sequence in context: A368518 A115754 A210600 * A203975 A270246 A297889

Adjacent sequences: A220305 A220306 A220307 * A220309 A220310 A220311

Keyword

nonn,tabl

Author

R. H. Hardin Dec 10 2012

Status

approved