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%I #6 Apr 19 2022 18:33:04
%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 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.
%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