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A202356
Decimal expansion of the number x satisfying 2x=exp(-x).
8
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
OFFSET
0,1
COMMENTS
See A202322 for a guide to related sequences. The Mathematica program includes a graph.
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
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Dec 18 2011
STATUS
approved