A220922 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..2 nXk array

1, 2, 1, 4, 10, 1, 7, 44, 35, 1, 12, 163, 324, 132, 1, 21, 626, 2874, 2456, 497, 1, 37, 2351, 23519, 48021, 18606, 1881, 1, 65, 8950, 189300, 807720, 768087, 141464, 7102, 1, 114, 33895, 1518325, 13318834, 26141052, 12279716, 1073265, 26812, 1, 200, 128696

Offset

1,2

Comments

Table starts

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

.1....10......44......163......626.....2351......8950....33895.128696

.1....35.....324.....2874....23519...189300...1518325.12108564

.1...132....2456....48021...807720.13318834.216461890

.1...497...18606...768087.26141052

.1..1881..141464.12279716

.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
..1..1..1..1....1..1..1..1....0..0..0..1....1..0..0..0....1..0..1..0
..0..0..0..0....0..0..0..1....0..0..0..0....1..1..0..0....0..1..1..1
..0..1..0..0....1..1..0..1....0..0..0..0....1..1..1..0....0..1..1..1

Crossrefs

Column 2 is A220255

Row 1 is A005251(n+2)

Sequence in context: A297506 A297720 A297654 * A220993 A219002 A156919

Adjacent sequences: A220919 A220920 A220921 * A220923 A220924 A220925

Keyword

nonn,tabl

Author

R. H. Hardin Dec 25 2012

Status

approved