%I
%S 9,50,222,867,3123,10660,35064,112373,353517,1097430,3374226,10302919,
%T 31301991,94757960,286108908,862258905,2595165345,7803321850,
%U 23447714310,70422834731,211436276379,634661150700,1904721649632,5715708452797
%N Number of n X 2 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 Column 2 of A222996.
%H R. H. Hardin, <a href="/A222993/b222993.txt">Table of n, a(n) for n = 1..33</a>
%F Empirical: a(n) = 9*a(n1)  31*a(n2) + 51*a(n3)  40*a(n4) + 12*a(n5).
%F Conjectures from _Colin Barker_, Feb 19 2018: (Start)
%F G.f.: x*(9  31*x + 51*x^2  40*x^3 + 12*x^4) / ((1  x)^2*(1  2*x)^2*(1  3*x)).
%F a(n) = (13  2^(6+n) + 3^(4+n)  2*(1+2^(4+n))*n) / 4.
%F (End)
%e Some solutions for n=3:
%e ..2..0....1..1....2..0....1..0....0..1....1..0....2..2....0..0....1..1....1..0
%e ..0..0....1..1....1..1....2..2....0..1....2..2....1..1....1..2....0..0....2..2
%e ..0..1....1..2....2..2....0..1....1..2....0..2....0..1....0..2....1..1....1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 11 2013
