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A202392 Decimal expansion of the number x satisfying 3x=exp(-x). 2
2, 5, 7, 6, 2, 7, 6, 5, 3, 0, 4, 9, 7, 3, 6, 7, 0, 4, 2, 8, 2, 9, 1, 6, 2, 0, 1, 6, 2, 6, 0, 9, 7, 7, 9, 0, 9, 0, 9, 6, 9, 2, 6, 4, 7, 5, 0, 3, 2, 0, 4, 4, 9, 1, 5, 3, 3, 9, 5, 1, 1, 4, 4, 0, 6, 6, 3, 1, 9, 1, 2, 9, 2, 7, 5, 2, 0, 4, 3, 7, 2, 4, 5, 9, 6, 3, 9, 8, 8, 7, 9, 3, 4, 1, 0, 0, 2, 5, 0 (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=0.257627653049736704282916201626097790909692...

MATHEMATICA

u = 3; v = 0;

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

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

r = x /. FindRoot[f[x] == g[x], {x, .25, .26}, WorkingPrecision -> 110]

RealDigits[r]  (* A202392 *)

(* other program *)

RealDigits[ ProductLog[1/3], 10, 99] // First (* Jean-Fran├žois Alcover, Feb 14 2013 *)

PROG

(PARI) lambertw(1/3) \\ G. C. Greubel, Jun 10 2017

CROSSREFS

Cf. A202322.

Sequence in context: A296168 A257963 A167554 * A290410 A078320 A306992

Adjacent sequences:  A202389 A202390 A202391 * A202393 A202394 A202395

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 18 2011

STATUS

approved

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Last modified November 15 21:37 EST 2019. Contains 329168 sequences. (Running on oeis4.)