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A202355 Decimal expansion of the number x satisfying x-1=exp(-x). 3
1, 2, 7, 8, 4, 6, 4, 5, 4, 2, 7, 6, 1, 0, 7, 3, 7, 9, 5, 1, 0, 9, 3, 5, 8, 7, 3, 9, 0, 2, 2, 9, 8, 0, 1, 5, 5, 4, 3, 9, 4, 7, 7, 4, 8, 8, 6, 1, 9, 7, 4, 5, 7, 6, 5, 4, 5, 3, 1, 7, 8, 1, 0, 5, 5, 3, 5, 0, 2, 9, 3, 7, 5, 4, 5, 9, 9, 4, 9, 8, 9, 8, 1, 9, 2, 0, 4, 9, 8, 4, 2, 8, 1, 1, 2, 9, 9, 4, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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 = 1..5000

FORMULA

Equals A202357 + 1. - Vaclav Kotesovec, Jan 31 2015

EXAMPLE

x=1.2784645427610737951093587390229801554394...

MATHEMATICA

u = 1; v = -1;

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, 1.2, 1.3}, WorkingPrecision -> 110]

RealDigits[r] (* A202355 *)

(* other program *)

RealDigits[1 + ProductLog[1/E], 10, 99] // First (* Jean-Fran├žois Alcover, Feb 14 2013 *)

PROG

(PARI) 1 + lambertw(exp(-1)) \\ G. C. Greubel, Jun 10 2017

CROSSREFS

Cf. A202322.

Sequence in context: A094216 A197495 A102098 * A202357 A019731 A021363

Adjacent sequences:  A202352 A202353 A202354 * A202356 A202357 A202358

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 18 2011

STATUS

approved

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Last modified February 19 18:31 EST 2018. Contains 299356 sequences. (Running on oeis4.)