

A153704


Numbers k such that the fractional part of e^k is greater than 1(1/k).


10




OFFSET

1,2


COMMENTS

Numbers k such that fract(e^k) > 1(1/k), where fract(x) = xfloor(x).
The next such number must be greater than 100000.
a(10) > 300,000. Robert Price, Mar 23 2019


LINKS

Table of n, a(n) for n=1..9.


EXAMPLE

a(2)=8, since fract(e^8) = 0.957987... >0.875 = 1(1/8), but fract(e^k) = 0.389..., 0.085..., 0.598..., 0.413..., 0.428..., 0.633... for 2<=k<=7 which all are less than 1(1/k).


MATHEMATICA

Select[Range[2000], N[FractionalPart[E^#], 1000] >= 1  (1/#) &] (* G. C. Greubel, Aug 25 2016 *)


CROSSREFS

Cf. A153664, A153672, A153680, A153688, A153696, A153708, A154130, A153712, A153720.
Cf. A000149.
Sequence in context: A242188 A119284 A177124 * A316201 A029845 A124972
Adjacent sequences: A153701 A153702 A153703 * A153705 A153706 A153707


KEYWORD

nonn,more


AUTHOR

Hieronymus Fischer, Jan 06 2009


EXTENSIONS

a(8)a(9) from Robert Price, Mar 23 2019


STATUS

approved



