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A153706 Greatest number m such that the fractional part of e^A153702(n) <= 1/m. 6
1, 2, 11, 11, 964, 34015, 156075, 952945, 170942, 247768, 397506 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..11.

FORMULA

a(n) = floor(1/fract(e^A153702(n))), where fract(x) = x - floor(x).

EXAMPLE

a(3) = 11 since 1/12 < fract(e^A153702(3)) = fract(e^3) = 0.0855... <= 1/11.

MATHEMATICA

Floor[1/(#-Floor[#])]&/@Exp[Select[Range[1000], FractionalPart[E^#]<(1/#)&]] (* Julien Kluge, Sep 20 2016 *)

CROSSREFS

Cf. A153662, A153670, A153678, A153686, A153694, A153702, A154130, A153714, A153722.

Cf. A000149.

Sequence in context: A245521 A275617 A090009 * A201187 A068225 A043080

Adjacent sequences:  A153703 A153704 A153705 * A153707 A153708 A153709

KEYWORD

nonn,more

AUTHOR

Hieronymus Fischer, Jan 06 2009

EXTENSIONS

a(10)-a(11) from Jinyuan Wang, Mar 03 2020

STATUS

approved

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Last modified June 14 15:06 EDT 2021. Contains 345025 sequences. (Running on oeis4.)