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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

Table of n, a(n) for n=0..98.

Index entries for transcendental numbers

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-Fran├žois 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

Adjacent sequences:  A202539 A202540 A202541 * A202543 A202544 A202545

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 21 2011

STATUS

approved

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Last modified November 18 14:37 EST 2019. Contains 329262 sequences. (Running on oeis4.)