A221035 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 and antidiagonal neighbors in a random 0..2 nXk array

1, 2, 1, 4, 7, 1, 7, 33, 21, 1, 12, 119, 228, 65, 1, 21, 457, 1733, 1561, 200, 1, 37, 1710, 14277, 24485, 10648, 616, 1, 65, 6466, 110506, 419506, 345755, 72625, 1897, 1, 114, 24433, 870027, 6637755, 12239631, 4882030, 495329, 5842, 1, 200, 92196, 6717882

Offset

1,2

Comments

Table starts

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

.1......7........33.........119..........457..........1710..........6466

.1.....21.......228........1733........14277........110506........870027

.1.....65......1561.......24485.......419506.......6637755.....106761517

.1....200.....10648......345755.....12239631.....393788081...12843452050

.1....616.....72625.....4882030....356411031...23287585899.1537391091350

.1...1897....495329....68933905..10373626389.1376083439034

.1...5842...3378333...973340015.301896920812

.1..17991..23041525.13743460075

.1..55405.157152036

.1.170625

.1

Links

R. H. Hardin, Table of n, a(n) for n = 1..82

Example

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

Crossrefs

Column 2 is A218836

Row 1 is A005251(n+2)

Sequence in context: A297314 A220386 A219410 * A221499 A059579 A261763

Adjacent sequences: A221032 A221033 A221034 * A221036 A221037 A221038

Keyword

nonn,tabl

Author

R. H. Hardin Dec 29 2012

Status

approved