A222996 T(n,k) = Number of n X k 0..2 arrays with successive rows and columns fitting to straight lines with nondecreasing slope, with a single point array taken as having zero slope.

3, 9, 9, 27, 50, 27, 81, 222, 222, 81, 243, 867, 3510, 867, 243, 729, 3123, 35845, 35845, 3123, 729, 2187, 10660, 440451, 703848, 440451, 10660, 2187, 6561, 35064, 4336850, 19187708, 19187708, 4336850, 35064, 6561, 19683, 112373, 45780150, 342820859

Offset

1,1

Comments

Table starts

.....3......9........27.........81..........243..........729..........2187

.....9.....50.......222........867.........3123........10660.........35064

....27....222......3510......35845.......440451......4336850......45780150

....81....867.....35845.....703848.....19187708....342820859....6895486778

...243...3123....440451...19187708...2061242739.107454380377.8271604953861

...729..10660...4336850..342820859.107454380377

..2187..35064..45780150.6895486778

..6561.112373.429855929

.19683.353517

.59049

Links

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

Example

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

Crossrefs

Column 1 is A000244.

Sequence in context: A162349 A223022 A072404 * A268026 A268019 A228977

Adjacent sequences: A222993 A222994 A222995 * A222997 A222998 A222999

Keyword

nonn,tabl

Author

R. H. Hardin, Mar 11 2013

Status

approved