cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A059102 #7 Sep 13 2024 20:16:29
%S A059102 1,9,10,12,13,26,48,49,51,65,66,67,1330,1331,1332,1336,1337,1338,1339,
%T A059102 1340,1431,5666,10331,537086,537095,538045,576768,576789
%N A059102 Number of terms of the fractional part of A030168 for which the geometric mean produces increasingly better approximations to Khinchin's constant.
%C A059102 Next term > 3307254.
%F A059102 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
%e A059102 The geometric mean of 67 terms (Khinchin + 0.0128639) is not bettered until we calculate the geometric mean of 1330 terms (Khinchin + 0.011153).
%Y A059102 Cf. A030168, A048613.
%K A059102 nonn
%O A059102 1,2
%A A059102 _Hans Havermann_, Feb 13 2001