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Search: id:A107919
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| A107919 |
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Sum of terms of continued fraction for the harmonic mean of n and n-th prime. |
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+0
4
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| 4, 6, 7, 16, 14, 16, 21, 21, 28, 26, 25, 32, 29, 36, 33, 34, 37, 47, 41, 43, 41, 48, 89, 52, 58, 53, 53, 60, 57, 59, 68, 63, 66, 75, 69, 75, 74, 78, 75, 110, 78, 83, 88, 102, 85, 92, 100, 349, 111, 104, 97, 101, 103, 109, 104, 119, 115, 119, 111, 119, 112, 126, 127, 124
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Cf. A107918
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LINKS
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Eric Weisstein's World of Mathematics, Continued Fraction.
Eric Weisstein's World of Mathematics, Harmonic Mean.
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EXAMPLE
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a(10)=26 because 10th prime is 29, harmonic mean of 10 and 29 is 580/39, and continued fraction for 580/39 has terms {14,1,6,1,4} and sum of terms 26.
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MATHEMATICA
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A107919[n_]:=PLus@@ContinuedFraction[HarmonicMean[{n, Prime[n]}]]
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CROSSREFS
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Cf. A107918.
Sequence in context: A054063 A112917 A102141 this_sequence A102131 A102137 A102135
Adjacent sequences: A107916 A107917 A107918 this_sequence A107920 A107921 A107922
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), May 28 2005
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