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A059102 Number of terms of the fractional part of A030168 for which the geometric mean produces increasingly better approximations to Khinchin's constant. 0
1, 9, 10, 12, 13, 26, 48, 49, 51, 65, 66, 67, 1330, 1331, 1332, 1336, 1337, 1338, 1339, 1340, 1431, 5666, 10331, 537086, 537095, 538045, 576768, 576789 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Next term > 3307254.

LINKS

Table of n, a(n) for n=1..28.

FORMULA

p = Drop[{A030168}, 1]; q = N[1, 100]; r = p[[1]] + 1; t = {}; Do[q = q*p[[i]]; g = q^(1/i) - Khinchin; If[Abs[g] < r, r = Abs[g]; t = Append[t, i]], {i, 1, Length[p]}]; t

EXAMPLE

The geometric mean of 67 terms (Khinchin + 0.0128639) is not bettered until we calculate the geometric mean of 1330 terms (Khinchin + 0.011153).

CROSSREFS

Cf. A030168, A048613.

Sequence in context: A104627 A188057 A119956 * A295743 A214602 A167819

Adjacent sequences:  A059099 A059100 A059101 * A059103 A059104 A059105

KEYWORD

cofr,nonn

AUTHOR

Hans Havermann, Feb 13 2001

STATUS

approved

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Last modified February 21 22:56 EST 2018. Contains 299427 sequences. (Running on oeis4.)