A222896 T(n,k)=Number of nXk 0..2 arrays with successive rows and columns fitting to straight lines with strictly increasing slope, with a single point array taken as having zero slope

3, 0, 0, 0, 31, 0, 0, 51, 51, 0, 0, 40, 621, 40, 0, 0, 12, 2542, 2542, 12, 0, 0, 0, 2646, 230803, 2646, 0, 0, 0, 0, 0, 3219925, 3219925, 0, 0, 0, 0, 0, 0, 44680819, 129912903, 44680819, 0, 0, 0, 0, 0, 0, 341380271, 6314798902, 6314798902, 341380271, 0, 0, 0, 0

Offset

1,1

Comments

Table starts

.3..0....0.........0..........0..........0............0..........0.0.0.0

.0.31...51........40.........12..........0............0..........0.0.0

.0.51..621......2542.......2646..........0............0..........0.0

.0.40.2542....230803....3219925...44680819....341380271.2205404653

.0.12.2646...3219925..129912903.6314798902.116002906380

.0..0....0..44680819.6314798902

.0..0....0.341380271

.0..0....0

.0..0

.0

Links

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

Example

Some solutions for n=4 k=4
..2..0..1..0....2..1..0..0....2..1..0..0....1..1..0..0....1..1..1..0
..0..2..2..0....1..0..0..0....2..0..1..0....2..0..0..2....1..0..2..0
..1..0..2..1....0..1..0..1....1..1..1..1....1..0..1..1....0..1..1..2
..0..0..2..1....0..1..1..1....0..2..2..2....0..1..0..2....0..1..2..2

Crossrefs

Sequence in context: A228861 A057382 A007270 * A057387 A109898 A223074

Adjacent sequences: A222893 A222894 A222895 * A222897 A222898 A222899

Keyword

nonn,tabl

Author

R. H. Hardin Mar 08 2013

Status

approved