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A153706 Greatest number m such that the fractional part of e^A153702(n) <= 1/m. 6

%I

%S 1,2,11,11,964,34015,156075,952945,170942,247768,397506

%N Greatest number m such that the fractional part of e^A153702(n) <= 1/m.

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

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

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

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

%Y Cf. A000149.

%K nonn,more

%O 1,2

%A _Hieronymus Fischer_, Jan 06 2009

%E a(10)-a(11) from _Jinyuan Wang_, Mar 03 2020

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Last modified July 24 06:56 EDT 2021. Contains 346273 sequences. (Running on oeis4.)