A222931 T(n,k)=Number of nXk 0..3 arrays with successive rows and columns fitting to straight lines with strictly increasing slope, with a single point array taken as having zero slope

4, 0, 0, 0, 106, 0, 0, 376, 376, 0, 0, 769, 10896, 769, 0, 0, 904, 142442, 142442, 904, 0, 0, 564, 772576, 26220153, 772576, 564, 0, 0, 144, 2157798, 1315814376, 1315814376, 2157798, 144, 0, 0, 0, 2301248, 60536955488, 263793650432, 60536955488, 2301248

Offset

1,1

Comments

Table starts

.4...0.......0.............0..............0..............0................0

.0.106.....376...........769............904............564..............144

.0.376...10896........142442.........772576........2157798..........2301248

.0.769..142442......26220153.....1315814376....60536955488....1739420916038

.0.904..772576....1315814376...263793650432.56867774044408.5830357357097696

.0.564.2157798...60536955488.56867774044408

.0.144.2301248.1739420916038

.0...0.......0

.0...0

.0

Links

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

Example

Some solutions for n=3 k=4
..2..2..0..0....2..1..2..0....3..1..2..0....2..1..2..1....3..2..1..0
..3..3..3..2....2..0..1..3....3..0..2..3....2..2..2..2....3..2..0..3
..2..3..2..3....0..1..3..2....1..0..2..2....1..1..3..3....0..1..1..1

Crossrefs

Sequence in context: A258644 A169770 A287633 * A258645 A222953 A101193

Adjacent sequences: A222928 A222929 A222930 * A222932 A222933 A222934

Keyword

nonn,tabl

Author

R. H. Hardin Mar 09 2013

Status

approved