login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A080053 Exp(n) is further from an integer than any previous exp(k) for 1 <= k < n. 3

%I #10 Feb 09 2014 04:39:24

%S 1,2,4,5,6,10,16,21,85,115,118,136,169,177,346,1272,2624,8823,12504,

%T 13863,36507,51099,63179,111473,143325,153014,255220,476129

%N Exp(n) is further from an integer than any previous exp(k) for 1 <= k < n.

%e Exp(4) = 54.59815... is closer to an integer than exp(2) = 7.389056... but not exp(3) = 20.085536...

%e The discrepancy at 111473 is 0.499991807891326554242475...

%t a = 0; Do[ d = Abs[ Round[E^n] - N[E^n, Ceiling[ Log[10, E^n] + 10]]]; If[d > a, Print[n]; a = d], {n, 1, 1000000}]

%Y Cf. A079490.

%K nonn

%O 1,2

%A _Robert G. Wilson v_, Jan 20 2003

%E a(25)-a(28) from _Martin Schlueter_, Feb 08 2014

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 19 12:14 EDT 2024. Contains 371792 sequences. (Running on oeis4.)