A139342 Decimal expansion of e^(-(1+sqrt(5))/2).

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

Offset

0,2

Comments

By the Lindemann-Weierstrass theorem, this constant is transcendental. - Charles R Greathouse IV, May 13 2019

Links

Table of n, a(n) for n=0..103.

Index entries for transcendental numbers.

Formula

Equals exp(-A001622).

Equals 1/A139341. - Amiram Eldar, Feb 08 2022

Example

0.19828815286220623226788895660486467084208489250129...

Maple

evalf(exp(1)^(-(1+sqrt(5))/2), 100); # Wesley Ivan Hurt, Feb 09 2017

Mathematica

RealDigits[E^-GoldenRatio, 10, 120][[1]] (* Harvey P. Dale, Dec 30 2020 *)

Prog

(PARI) exp(-(sqrt(5)+1)/2) \\ Charles R Greathouse IV, May 13 2019

Crossrefs

Cf. A001622, A094214, A104457, A098317, A002390, A139339, A139340, A139341.

Sequence in context: A111509 A157258 A155115 * A343359 A210649 A347331

Adjacent sequences: A139339 A139340 A139341 * A139343 A139344 A139345

Keyword

nonn,cons

Author

Mohammad K. Azarian, Apr 14 2008

Extensions

Leading zero removed by R. J. Mathar, Feb 05 2009

Status

approved