A126584 Decimal expansion of solution to exp(-x) = x^3.

7, 7, 2, 8, 8, 2, 9, 5, 9, 1, 4, 9, 2, 1, 0, 1, 1, 2, 8, 4, 8, 7, 4, 8, 6, 0, 4, 8, 7, 8, 2, 9, 3, 3, 7, 2, 7, 2, 9, 0, 7, 7, 9, 4, 2, 5, 0, 9, 6, 1, 3, 4, 7, 4, 6, 0, 1, 8, 5, 3, 4, 3, 2, 1, 9, 8, 9, 5, 7, 3, 8, 7, 8, 2, 5, 6, 1, 3, 1, 1, 7, 3, 7, 8, 9, 1, 9, 6, 6, 3, 8, 0, 2, 3, 0, 0, 7, 5, 1, 7, 4, 8

Offset

0,1

Links

G. C. Greubel, Table of n, a(n) for n = 0..10000

Index entries for transcendental numbers

Formula

Equals 3*LambertW(1/3). - G. C. Greubel, Mar 06 2018

Example

0.7728829591492101128487486048782933727290779425096134746...

Mathematica

RealDigits[ FindRoot[ Exp[ -x] == x^3, {x, {.5, 1}}, WorkingPrecision -> 120][[1, 2, 1]], 10, 111][[1]]
RealDigits[ 3*ProductLog[1/3], 10, 102] // First (* Jean-François Alcover, Feb 27 2013 *)

Prog

(PARI) 3*lambertw(1/3) \\ G. C. Greubel, Mar 06 2018

Crossrefs

Cf. A030178.

Sequence in context: A169812 A195907 A380003 * A318302 A266271 A021568

Adjacent sequences: A126581 A126582 A126583 * A126585 A126586 A126587

Keyword

cons,nonn

Author

Denton J. Dailey (denton.dailey(AT)bc3.edu), Jan 05 2007

Status

approved