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

Author

R. H. Hardin, Mar 11 2013

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A000244.