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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

%I

%S 3,9,9,27,50,27,81,222,222,81,243,867,3510,867,243,729,3123,35845,

%T 35845,3123,729,2187,10660,440451,703848,440451,10660,2187,6561,35064,

%U 4336850,19187708,19187708,4336850,35064,6561,19683,112373,45780150,342820859

%N 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

%C Table starts

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

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

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

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

%C ...243...3123....440451...19187708...2061242739.107454380377.8271604953861

%C ...729..10660...4336850..342820859.107454380377

%C ..2187..35064..45780150.6895486778

%C ..6561.112373.429855929

%C .19683.353517

%C .59049

%H R. H. Hardin, <a href="/A222996/b222996.txt">Table of n, a(n) for n = 1..60</a>

%e Some solutions for n=3 k=4

%e ..2..2..1..1....2..0..0..1....2..2..1..2....2..2..2..0....2..1..2..0

%e ..0..0..0..0....2..2..0..2....1..0..1..1....1..0..0..1....2..1..0..2

%e ..1..1..1..2....1..1..1..2....0..0..0..1....0..0..0..1....0..0..2..1

%Y Column 1 is A000244

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Mar 11 2013

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Last modified December 6 22:42 EST 2021. Contains 349567 sequences. (Running on oeis4.)