A220226 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..1 nXk array

1, 2, 1, 4, 6, 1, 7, 18, 19, 1, 12, 51, 115, 65, 1, 21, 157, 694, 697, 222, 1, 37, 477, 4244, 8819, 4406, 776, 1, 65, 1445, 25771, 103153, 110911, 27584, 2682, 1, 114, 4384, 156627, 1198517, 2517202, 1409467, 173216, 9310, 1, 200, 13297, 952152, 13984325

Offset

1,2

Comments

Table starts

.1.....2.......4........7.......12.......21.........37........65.....114...200

.1.....6......18.......51......157......477.......1445......4384...13297.40332

.1....19.....115......694.....4244....25771.....156627....952152.5791155

.1....65.....697.....8819...103153..1198517...13984325.162860081

.1...222....4406...110911..2517202.56154702.1256395206

.1...776...27584..1409467.61669499

.1..2682..173216.17911553

.1..9310.1087102

.1.32288

.1

Links

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

Example

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

Crossrefs

Column 2 is A220065

Row 1 is A005251(n+2)

Sequence in context: A121757 A219441 A219142 * A181854 A109822 A274292

Adjacent sequences: A220223 A220224 A220225 * A220227 A220228 A220229

Keyword

nonn,tabl

Author

R. H. Hardin Dec 08 2012

Status

approved