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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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2
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1, 5, 67, 2035, 327035, 18466715, 7619115545, 6522042157745, 51871686471116105, 424282494361851819005, 39140577420952910465839555, 3692929600143446269942515952655, 4623053713106560878635060477474217415
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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EXAMPLE
| For n = 3 we have 1 + 1/(3/2 + 6/11) = 67/45, the numerator of which is 67.
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PROG
| 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
| Cf. A113065, A001008, A002805.
Sequence in context: A124435 A123034 A166619 * A197776 A197606 A129963
Adjacent sequences: A113061 A113062 A113063 * A113065 A113066 A113067
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KEYWORD
| frac,nonn
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AUTHOR
| Leroy Quet Oct 13 2005
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EXTENSIONS
| More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 08 2006
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