A139341 Decimal expansion of e^((1+sqrt(5))/2).

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

Offset: 1

Author

Mohammad K. Azarian, Apr 14 2008

Keywords

• nonn
• cons

Comments

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

Examples

			5.04316564336002865131188218928542471032359017541384...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A001622, A094214, A104457, A098317, A002390, A139339, A139340, A139342.

Programs

Maple

phi := (1+sqrt(5))/2 ; evalf(exp(phi)) ; # R. J. Mathar, Oct 16 2015

Mathematica

RealDigits[Exp[GoldenRatio], 10, 100][[1]] (* Amiram Eldar, Feb 08 2022 *)

PARI

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

Formula

From Amiram Eldar, Feb 08 2022: (Start)

Equals exp(A001622).

Equals 1/A139342. (End)