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Search: id:A113064
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| A113064 |
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a(n) = numerator of r(n), where r(n) = the continued fraction of rational terms [1,3/2,11/6,...,H(n)], where H(n) = sum{j=1..n} 1/j, the n-th harmonic number. |
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+0
2
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| 1, 5, 67, 2035, 327035, 18466715, 7619115545, 6522042157745, 51871686471116105, 424282494361851819005, 39140577420952910465839555, 3692929600143446269942515952655, 4623053713106560878635060477474217415
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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EXAMPLE
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For n = 3 we have 1 + 1/(3/2 + 6/11) = 67/45, the numerator of which is 67.
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PROGRAM
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PLT DrScheme - Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 08 2006
; ; (harmonic n) gives the n-th partial sum of the harmonic series.
; ; cf->frac is a utility that converts a continued fraction to a fraction.
(define (A113064 n)
(numerator (cf->frac (build-list n (lambda (k) (harmonic (add1 k)))))))
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CROSSREFS
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Cf. A113065, A001008, A002805.
Sequence in context: A124435 A123034 A166619 this_sequence A129963 A115764 A003361
Adjacent sequences: A113061 A113062 A113063 this_sequence A113065 A113066 A113067
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KEYWORD
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frac,nonn
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AUTHOR
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Leroy Quet Oct 13 2005
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EXTENSIONS
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More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 08 2006
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