Search: id:A119015
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%I A119015
%S A119015 0,1,1,1,1,2,3,4,7,11,18,25,32,39,71,110,181,252,323,394,465,536,1001,
%T A119015 1537,2538,3539,4540,5541,6542,7543,8544,9545,18089,27634,45723,63812,
%U A119015 81901,99990,118079,136168,154257,172346,190435,208524,398959,607483
%N A119015 Denominators of "Farey fraction" approximations to e.
%C A119015 "Add" (meaning here to add the numerators and add the denominators, not 
               to add the fractions) 1/0 to 1/1 to make the fraction bigger: 2/1, 
               3/1. Now 3/1 is too big, so add 2/1 to make the fraction smaller: 
               5/2, 8/3, 11/4. Now 11/4 is too small, so add 8/3 to make the fraction 
               bigger: 19/7, ...
%H A119015 Dave Rusin, <a href="http://www.math.niu.edu/~rusin/known-math/99/farey">
               Farey fractions on sci.math</a>
%e A119015 The fractions are 1/0, 0/1, 1/1, 2/1, 3/1, 5/2, 8/3, 11/4, 19/7, ...
%Y A119015 For another version see A006259.
%Y A119015 Cf. A097545, A097546 gives the similar sequence for pi. A119014 gives 
               the numerators for this sequence.
%Y A119015 Sequence in context: A072164 A060987 A006259 this_sequence A018145 A050195 
               A080023
%Y A119015 Adjacent sequences: A119012 A119013 A119014 this_sequence A119016 A119017 
               A119018
%K A119015 easy,frac,nonn
%O A119015 0,6
%A A119015 Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 08 2006

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