A107918 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

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