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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 (list; graph; refs; listen; history; 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.

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

all are greater than 1/k.

CROSSREFS

Cf. A153662, A153670, A153678, A153686, A153694, A153706, A154130, A153710, A153718.

Cf. A000149.

Sequence in context: A126884 A054544 A132537 * A130110 A031275 A119023

Adjacent sequences:  A153699 A153700 A153701 * A153703 A153704 A153705

KEYWORD

nonn,more

AUTHOR

Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jan 06 2009

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Last modified February 17 21:13 EST 2012. Contains 206085 sequences.