A107918 Length of continued fraction for the harmonic mean of n and n-th prime.

2, 3, 3, 2, 3, 4, 3, 4, 3, 5, 3, 3, 5, 3, 5, 8, 5, 5, 6, 6, 8, 5, 2, 5, 4, 8, 7, 6, 5, 7, 4, 8, 4, 7, 6, 4, 6, 8, 5, 6, 8, 7, 4, 7, 7, 8, 4, 3, 6, 5, 6, 7, 5, 5, 8, 7, 5, 6, 7, 7, 8, 5, 6, 6, 9, 6, 7, 4, 3, 7, 5, 5, 5, 3, 7, 7, 6, 9, 3, 8, 5, 9, 4, 9, 7, 5, 5, 10, 5, 9, 6, 9, 6, 8, 9, 7, 5, 8, 6, 6, 7, 9, 5, 4

Offset

1,1

Links

Table of n, a(n) for n=1..104.

Eric Weisstein's World of Mathematics, Continued Fraction.

Eric Weisstein's World of Mathematics, Harmonic Mean.

Example

a(10)=5 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 length 5.

Mathematica

A107918[n_]:=Length[ContinuedFraction[HarmonicMean[{n, Prime[n]}]]]

Crossrefs

Cf. A107919.

Sequence in context: A137779 A191246 A248222 * A242392 A002963 A046677

Adjacent sequences: A107915 A107916 A107917 * A107919 A107920 A107921

Keyword

nonn

Author

Zak Seidov, May 28 2005

Status

approved