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Search: id:A119015
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| A119015 |
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Denominators of "Farey fraction" approximations to e. |
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+0
5
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| 0, 1, 1, 1, 1, 2, 3, 4, 7, 11, 18, 25, 32, 39, 71, 110, 181, 252, 323, 394, 465, 536, 1001, 1537, 2538, 3539, 4540, 5541, 6542, 7543, 8544, 9545, 18089, 27634, 45723, 63812, 81901, 99990, 118079, 136168, 154257, 172346, 190435, 208524, 398959, 607483
(list; graph; listen)
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OFFSET
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0,6
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COMMENT
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"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, ...
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LINKS
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Dave Rusin, Farey fractions on sci.math
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EXAMPLE
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The fractions are 1/0, 0/1, 1/1, 2/1, 3/1, 5/2, 8/3, 11/4, 19/7, ...
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CROSSREFS
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For another version see A006259.
Cf. A097545, A097546 gives the similar sequence for pi. A119014 gives the numerators for this sequence.
Sequence in context: A072164 A060987 A006259 this_sequence A018145 A050195 A080023
Adjacent sequences: A119012 A119013 A119014 this_sequence A119016 A119017 A119018
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KEYWORD
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easy,frac,nonn
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AUTHOR
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Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 08 2006
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