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!)
A202542 Decimal expansion of the number x satisfying e^(3x)-e^(-3x)=1. 2
1, 6, 0, 4, 0, 3, 9, 4, 1, 6, 8, 6, 5, 3, 4, 4, 8, 2, 4, 9, 9, 2, 5, 2, 9, 7, 1, 1, 4, 1, 4, 5, 6, 1, 4, 1, 0, 4, 5, 0, 6, 1, 4, 4, 4, 7, 9, 5, 2, 2, 0, 1, 7, 3, 2, 2, 0, 3, 3, 9, 3, 8, 9, 6, 1, 3, 3, 8, 7, 9, 5, 5, 8, 6, 9, 4, 0, 7, 2, 5, 8, 1, 3, 7, 3, 3, 6, 4, 7, 6, 3, 7, 4, 2, 4, 1, 1, 5, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
See A202537 for a guide to related sequences. The Mathematica program includes a graph.
LINKS
EXAMPLE
x=0.1604039416865344824992529711414561410450614447...
MATHEMATICA
u = 3; v = 3;
f[x_] := E^(u*x) - E^(-v*x); g[x_] := 1
Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .2, .3}, WorkingPrecision -> 110]
RealDigits[r] (* A202542 *)
RealDigits[ Log[ (1+Sqrt[5])/2 ] / 3, 10, 99] // First (* Jean-François Alcover, Feb 27 2013 *)
PROG
(PARI) log((sqrt(5)+1)/2)/3 \\ Charles R Greathouse IV, May 14 2019
CROSSREFS
Cf. A202537.
Sequence in context: A229637 A019109 A089841 * A019766 A094830 A196878
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Dec 21 2011
STATUS
approved

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 March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)