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A202353 Decimal expansion of the number x satisfying 2*x + 2 = exp(-x), negated. 2
3, 1, 4, 9, 2, 3, 0, 5, 7, 8, 4, 5, 4, 0, 6, 0, 5, 3, 9, 7, 1, 7, 5, 0, 5, 1, 9, 4, 6, 2, 3, 6, 9, 8, 1, 1, 5, 8, 5, 9, 4, 4, 2, 8, 4, 3, 1, 9, 1, 7, 9, 4, 6, 6, 4, 5, 9, 0, 1, 9, 8, 4, 5, 0, 1, 2, 4, 9, 6, 1, 2, 1, 4, 8, 8, 8, 1, 1, 8, 5, 2, 1, 8, 8, 0, 3, 4, 4, 4, 4, 4, 8, 2, 0, 8, 0, 0, 7, 6 (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

FORMULA

Equals W(e/2) - 1, where W(x) is the Lambert W-function. - G. C. Greubel, Jun 09 2017

EXAMPLE

x = -0.3149230578454060539717505194623698115859...

MATHEMATICA

u = 2; v = 2;

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

Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, -.4, -.3}, WorkingPrecision -> 110]

RealDigits[r] (* A202353 *)

(* other program *)

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

PROG

(PARI) lambertw(exp(1)/2) - 1 \\ G. C. Greubel, Jun 09 2017

CROSSREFS

Cf. A202322.

Sequence in context: A220605 A094166 A266131 * A108621 A193792 A190179

Adjacent sequences:  A202350 A202351 A202352 * A202354 A202355 A202356

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 18 2011

STATUS

approved

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Last modified June 20 10:13 EDT 2019. Contains 324234 sequences. (Running on oeis4.)