A221499 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..3 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, 14297, 24485, 10648, 616, 1, 65, 6466, 111042, 420022, 345755, 72625, 1897, 1, 114, 24433, 874106, 6665056, 12253352, 4882030, 495329, 5842, 1, 200, 92196, 6765307

Offset

1,2

Comments

Table starts

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

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

.1.....21.......228........1733........14297........111042........874106

.1.....65......1561.......24485.......420022.......6665056.....107190767

.1....200.....10648......345755.....12253352.....395300442...12890161742

.1....616.....72625.....4882030....356799776...23379869304.1542965772979

.1...1897....495329....68933905..10385011060.1381866811158

.1...5842...3378333...973340015.302233979821

.1..17991..23041525.13743460075

.1..55405.157152036

.1.170625

.1

Links

R. H. Hardin, Table of n, a(n) for n = 1..83

Example

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

Crossrefs

Column 2 is A218836

Column 3 is A221030

Column 4 is A221031

Row 1 is A005251(n+2)

Row 2 is A221036

Sequence in context: A220386 A219410 A221035 * A059579 A261763 A091320

Adjacent sequences: A221496 A221497 A221498 * A221500 A221501 A221502

Keyword

nonn,tabl

Author

R. H. Hardin Jan 18 2013

Status

approved