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A223070 Number of nX3 0..3 arrays with successive rows and columns fitting to straight lines with nondecreasing slope, with a single point array taken as having zero slope.

%I A223070 #6 Jul 23 2025 03:27:23
%S A223070 64,1080,38512,899390,22520656,462313688,9567328752,178464221290,
%T A223070 3336648010448,58641450033936,1033599371410096,17499076161248060,
%U A223070 297470720803662048,4917593684170711306,81699455573347788176
%N A223070 Number of nX3 0..3 arrays with successive rows and columns fitting to straight lines with nondecreasing slope, with a single point array taken as having zero slope.
%C A223070 Column 3 of A223071
%H A223070 R. H. Hardin, <a href="/A223070/b223070.txt">Table of n, a(n) for n = 1..25</a>
%e A223070 Some solutions for n=3
%e A223070 ..2..2..2....0..0..0....3..2..0....2..0..0....0..0..0....3..3..1....2..0..2
%e A223070 ..1..0..2....1..0..2....0..2..1....1..1..3....1..2..3....1..0..1....1..2..2
%e A223070 ..1..3..3....2..2..3....0..3..2....0..2..2....0..2..3....0..1..3....0..0..2
%K A223070 nonn
%O A223070 1,1
%A A223070 _R. H. Hardin_ Mar 14 2013