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A153702 Numbers k such that the fractional part of e^k is less than 1/k. 10
1, 2, 3, 9, 732, 5469, 28414, 37373, 93638, 136986, 192897 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Numbers k such that fract(e^k) < 1/k, where fract(x) = x-floor(x).
The next such number must be greater than 100000.
a(12) > 300000. - Robert Price, Mar 23 2019
LINKS
EXAMPLE
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.
MATHEMATICA
Select[Range[1000], FractionalPart[E^#] < (1/#) &] (* G. C. Greubel, Aug 24 2016 *)
CROSSREFS
Cf. A000149.
Sequence in context: A350777 A248236 A319157 * A280941 A347122 A130110
KEYWORD
nonn,more
AUTHOR
Hieronymus Fischer, Jan 06 2009
EXTENSIONS
a(10)-a(11) from Robert Price, Mar 23 2019
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)