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Search: id:A080053
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| A080053 |
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Exp(n) is further from an integer than any previous exp(k) for 1 <= k < n. |
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+0
4
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| 1, 2, 4, 5, 6, 10, 16, 21, 85, 115, 118, 136, 169, 177, 346, 1272, 2624, 8823, 12504, 13863, 36507, 51099, 63179, 111473
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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Exp(4) = 54.59815... is closer to an integer than exp(2) = 7.389056... but not exp(3) = 20.085536...
The discrepancy at 111473 is 0.499991807891326554242475...
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MATHEMATICA
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a = 0; Do[ d = Abs[ Round[E^n] - N[E^n, Ceiling[ Log[10, E^n] + 10]]]; If[d > a, Print[n]; a = d], {n, 1, 130000}]
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CROSSREFS
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Cf. A079490.
Adjacent sequences: A080050 A080051 A080052 this_sequence A080054 A080055 A080056
Sequence in context: A039036 A043045 A091678 this_sequence A101964 A129305 A113631
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 20 2003
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