%I A049449
%S A049449 0,1,2,3,6,4,10,15,12,5,14,24,21,28,40,35,20,6,18,33,30,44,65,60,36,45,
%T A049449 84,104,77,70,88,63,30,7,22,42,39,60,90,85,52,70,133,168,126,119,152,
%U A049449 112,55,66,144,209,170,198,273,228,126,117,204,234,165,130,154,99,42,8
%N A049449 Product of numerator and denominator of fractions in Farey tree A007305/
               A007306.
%C A049449 Sum of reciprocals of each row (n > 1) equals 1/2. E.g. 1/3 + 1/6, 1/
               4 + 1/10 + 1/15 + 1/12 and so on. The link to cut-the-knot gives 
               credit to Pierre Lamothe for this observation. - Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), 
               May 11 2006
%D A049449 J. C. Lagarias, Number Theory and Dynamical Systems, pp. 35-72 of S. 
               A. Burr, ed., The Unreasonable Effectiveness of Number Theory, Proc. 
               Sympos. Appl. Math., 46 (1992). Amer. Math. Soc.
%H A049449 Alexander Bogomolny, <a href="http://www.cut-the-knot.org/blue/Stern.shtml">
               Cut-the-knot on Stern-Brocot trees</a>
%F A049449 A007305*A007306.
%Y A049449 See comment in A119272.
%Y A049449 Sequence in context: A152679 A165783 A073318 this_sequence A104663 A046202 
               A122866
%Y A049449 Adjacent sequences: A049446 A049447 A049448 this_sequence A049450 A049451 
               A049452
%K A049449 nonn,easy,tabf
%O A049449 0,3
%A A049449 N. J. A. Sloane (njas(AT)research.att.com).
%E A049449 More terms from Megan Wawro (s1095813(AT)cedarville.edu)
%E A049449 More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), 
               May 11 2006