A059102 Number of terms of the fractional part of A030168 for which the geometric mean produces increasingly better approximations to Khinchin's constant.

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

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 A356659 A214602

Adjacent sequences: A059099 A059100 A059101 * A059103 A059104 A059105

Keyword

nonn

Author

Hans Havermann, Feb 13 2001

Status

approved