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A222996 T(n,k)=Number of nXk 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 4
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified October 23 00:39 EDT 2021. Contains 348209 sequences. (Running on oeis4.)