an interesting new sequence!

[N. J. A. Sloane]

This just came in - at first I rejected it,
thinking it was the same as A000124.  But it isn't!

Can it really be new?

NJAS

%I A107427
%S A107427 0,0,1,2,4,7,10,14,18,22,27,32,38,44,50,54,60,72,76,84,92,110,114,122,
%T A107427 130,156,160,210
%N A107427 Maximal number of triangles that can be formed by n straight lines in the Euclidian plane.
%C A107427 A000124 is a related sequence, but that sequence refers to regions whereas here we only consider triangles.
%H A107427 David Coles, <a href="http://davcoles.tripod.com">Triangle Puzzle</a>.
%H A107427 Jim Loy, <a href="http://www.jimloy.com/puzz/cole.htm">Triangle Puzzle</a>.
%e A107427 7 lines can make at most 10 triangles, so a(7) = 10.
%Y A107427 Cf. A000124.
%K A107427 nonn,nice,more,new
%O A107427 1,4
%A A107427 Bill Blewett (billble(AT)comcast.net), May 22 2005