A220313 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..3 nXk array

1, 2, 2, 4, 9, 4, 7, 40, 40, 7, 12, 155, 367, 155, 12, 21, 617, 3024, 3024, 617, 21, 37, 2457, 24367, 50451, 24367, 2457, 37, 65, 9785, 194128, 822483, 822483, 194128, 9785, 65, 114, 38986, 1541546, 13221364, 26882175, 13221364, 1541546, 38986, 114, 200

Offset

1,2

Comments

Table starts

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

...2......9.......40.......155.......617......2457......9785......38986

...4.....40......367......3024.....24367....194128...1541546...12227770

...7....155.....3024.....50451....822483..13221364.211771497.3387519403

..12....617....24367....822483..26882175.867644508

..21...2457...194128..13221364.867644508

..37...9785..1541546.211771497

..65..38986.12227770

.114.155300

.200

Links

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

Example

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

Crossrefs

Column 1 is A005251(n+2)

Sequence in context: A201376 A005141 A220369 * A021982 A165251 A264128

Adjacent sequences: A220310 A220311 A220312 * A220314 A220315 A220316

Keyword

nonn,tabl

Author

R. H. Hardin Dec 10 2012

Status

approved