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A202356 Decimal expansion of the number x satisfying 2x=exp(-x). 7
3, 5, 1, 7, 3, 3, 7, 1, 1, 2, 4, 9, 1, 9, 5, 8, 2, 6, 0, 2, 4, 9, 0, 9, 3, 0, 0, 9, 2, 9, 9, 5, 1, 0, 6, 5, 1, 7, 1, 4, 6, 4, 2, 1, 5, 5, 1, 7, 1, 1, 1, 8, 0, 4, 0, 4, 6, 6, 4, 3, 8, 4, 6, 1, 0, 9, 9, 6, 0, 6, 1, 0, 7, 2, 0, 3, 3, 8, 7, 1, 0, 8, 9, 6, 8, 3, 2, 3, 0, 3, 8, 3, 2, 1, 9, 1, 5, 6, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

See A202322 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..5000

Index entries for transcendental numbers

EXAMPLE

x=0.35173371124919582602490930092995106517146...

MATHEMATICA

u = 2; v = 0;

f[x_] := u*x + v; g[x_] := E^-x

Plot[{f[x], g[x]}, {x, 0, 2}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, .35, .36}, WorkingPrecision -> 110]

RealDigits[r] (* A202356 *)

RealDigits[ ProductLog[1/2], 10, 99] // First (* Jean-François Alcover, Feb 14 2013 *)

PROG

(PARI) lambertw(1/2) \\ G. C. Greubel, Jun 10 2017

CROSSREFS

Cf. A202322.

Sequence in context: A320051 A341489 A158858 * A152204 A114216 A337128

Adjacent sequences:  A202353 A202354 A202355 * A202357 A202358 A202359

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 18 2011

STATUS

approved

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Last modified November 30 06:28 EST 2021. Contains 349419 sequences. (Running on oeis4.)