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A153702
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Numbers k such that the fractional part of e^k is less than 1/k.
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10
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1, 2, 3, 9, 732, 5469, 28414, 37373, 93638, 136986, 192897
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OFFSET
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1,2
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COMMENTS
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Numbers k such that fract(e^k) < 1/k, where fract(x) = x-floor(x).
The next such number must be greater than 100000.
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LINKS
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EXAMPLE
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a(4) = 9 since fract(e^9) = 0.08392... < 1/9, but fract(e^k) = 0.598..., 0.413..., 0.428..., 0.633..., 0.957... for 4 <= k <= 8, which are all greater than 1/k.
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MATHEMATICA
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Select[Range[1000], FractionalPart[E^#] < (1/#) &] (* G. C. Greubel, Aug 24 2016 *)
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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