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

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

Offset: 1

Author

Hieronymus Fischer, Jan 06 2009

Keywords

• nonn
• more

Examples

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

Crossrefs

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

Cf. A000149.

Programs

Mathematica

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

Formula

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

Extensions

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