an interesting new sequence!

[zak seidov]

We may call them
elementary and composite triangles.
Zak

--- "Robert G. Wilson v" <rgwv at rgwv.com> wrote:
> Neil,
> 
> 	He is only counting the smaller triangles. When you
> go to the hyper-links you 
> will see that there are other "super" triangles -
> triangles made by two or more 
> smaller triangles. a(5) would then equal 8 and a(6)
> would then be 13.
> 
> Bob.
> 
> N. J. A. Sloane wrote:
> 
> > 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
> > 
> 


		
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