A220993 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, diagonal and antidiagonal neighbors in a random 0..3 nXk array

1, 2, 1, 4, 10, 1, 7, 44, 35, 1, 12, 168, 324, 132, 1, 21, 642, 2899, 2456, 497, 1, 37, 2463, 23895, 48800, 18606, 1881, 1, 65, 9454, 193052, 826251, 781249, 141464, 7102, 1, 114, 36363, 1550909, 13696660, 26731299, 12552490, 1073265, 26812, 1, 200, 139880

Offset

1,2

Comments

Table starts

.1.....2.......4........7.......12.......21........37.......65....114.200

.1....10......44......168......642.....2463......9454....36363.139880

.1....35.....324.....2899....23895...193052...1550909.12392103

.1...132....2456....48800...826251.13696660.222785284

.1...497...18606...781249.26731299

.1..1881..141464.12552490

.1..7102.1073265

.1.26812

.1

Links

R. H. Hardin, Table of n, a(n) for n = 1..49

Example

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

Crossrefs

Column 2 is A220255

Column 3 is A220920

Row 1 is A005251(n+2)

Sequence in context: A297720 A297654 A220922 * A219002 A156919 A179077

Adjacent sequences: A220990 A220991 A220992 * A220994 A220995 A220996

Keyword

nonn,tabl

Author

R. H. Hardin Dec 28 2012

Status

approved