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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
OFFSET
1,2
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 *)
KEYWORD
nonn,more
AUTHOR
Hieronymus Fischer, Jan 06 2009
EXTENSIONS
a(10)-a(11) from Jinyuan Wang, Mar 03 2020
STATUS
approved