id:A107919 - OEIS Search Results

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Sum of terms of continued fraction for the harmonic mean of n and n-th prime.

+0
4

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)

	OFFSET	`1,1`
	COMMENT	`Cf. A107918`
	LINKS	`Eric Weisstein's World of Mathematics, Continued Fraction.` `Eric Weisstein's World of Mathematics, Harmonic Mean.`
	EXAMPLE	`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.`
	MATHEMATICA	`A107919[n_]:=PLus@@ContinuedFraction[HarmonicMean[{n, Prime[n]}]]`
	CROSSREFS	`Cf. A107918.` `Sequence in context: A054063 A112917 A102141 this_sequence A165404 A102131 A102137` `Adjacent sequences: A107916 A107917 A107918 this_sequence A107920 A107921 A107922`
	KEYWORD	`nonn`
	AUTHOR	`Zak Seidov (zakseidov(AT)yahoo.com), May 28 2005`

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Last modified November 23 10:40 EST 2009. Contains 167421 sequences.

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