A126585 Decimal expansion of solution to exp(-x) = x^4.

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

Offset

0,1

Links

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

Formula

Equals 4*LambertW(1/4). - G. C. Greubel, Mar 06 2018

Example

0.81555341880896065777272732530855948059740990884063853...

Mathematica

RealDigits[ FindRoot[ Exp[ -x] == x^4, {x, {.5, 1}}, WorkingPrecision -> 120][[1, 2, 1]], 10, 111][[1]]
RealDigits[ 4*ProductLog[1/4], 10, 102] // First (* Jean-François Alcover, Feb 27 2013 *)

Prog

(PARI) 4*lambertw(1/4) \\ G. C. Greubel, Mar 06 2018

Crossrefs

Cf. A030178.

Sequence in context: A154861 A153495 A046471 * A157289 A194097 A339260

Adjacent sequences: A126582 A126583 A126584 * A126586 A126587 A126588

Keyword

cons,nonn

Author

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

Status

approved