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Search: id:A059102
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| A059102 |
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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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+0
1
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| 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; listen)
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OFFSET
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1,2
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COMMENT
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Next term > 3307254.
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FORMULA
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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
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EXAMPLE
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The geometric mean of 67 terms (Khinchin + 0.0128639) is not bettered until we calculate the geometric mean of 1330 terms (Khinchin + 0.011153).
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CROSSREFS
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Cf. A030168, A048613.
Sequence in context: A136835 A104627 A119956 this_sequence A120185 A076364 A048592
Adjacent sequences: A059099 A059100 A059101 this_sequence A059103 A059104 A059105
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KEYWORD
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cofr,nonn
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AUTHOR
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Hans Havermann (pxp(AT)rogers.com), Feb 13 2001
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