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Search: id:A079663
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| A079663 |
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Sequence of the radicands that give the best radical approach to e. |
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+0
1
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| 1, 2, 3, 6, 7, 19, 20, 148, 403, 1096, 1097, 2980, 2981, 8103, 59874, 162755, 1202603, 1202604, 3269017, 8886110, 8886111, 24154952, 24154953, 65659969, 178482301, 3584912846, 9744803446, 26489122130, 72004899337, 195729609428
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Numbers n such that n^(1/m) is closer to e than for previous n. m is given by the Floor/Ceiling of Log[n].
Each group of entries exceed the previous group by e^k where k is an integer.
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EXAMPLE
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e-1^1 > e-2^1 > 3^1-e > e-6^(1/2) > e-7^(1/2) > e-19^(1/3) > e-20^(1/3) > ...
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MATHEMATICA
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ls = {}; mx = 1; Do[mn = Min[Abs[{n^(1/Floor[Log[n]]) - E, E - n^(1/Ceiling[Log[n]])}]]; If[mn < mx, mx = mn; AppendTo[ls, {n, mx}]], {n, 3, 500000}]; N[ls] // TableForm
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CROSSREFS
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Cf. A004791, A080021.
Sequence in context: A131857 A064970 A064292 this_sequence A064622 A119746 A023785
Adjacent sequences: A079660 A079661 A079662 this_sequence A079664 A079665 A079666
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KEYWORD
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nonn
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AUTHOR
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Carlos Alves (cjsalves(AT)gmail.com), Jan 24 2003
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 24 2003
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