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

Author

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

Keywords

• cons
• nonn

Examples

			0.81555341880896065777272732530855948059740990884063853...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 0..10000
• Index entries for transcendental numbers

Crossrefs

Cf. A030178.

Programs

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 *)

PARI

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

Formula

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