A139347 Decimal expansion of negated tangent of the golden ratio. That is, the decimal expansion of -tan((1+sqrt(5))/2).

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

Offset

2,1

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=2..106.

Index entries for transcendental numbers.

Formula

Equals tan(A001622).

From Amiram Eldar, Feb 07 2022: (Start)

Equals 1/A139348.

Equals A139345/A139346. (End)

Example

-21.15380078249327464858628117032582559788124367464826...

Mathematica

RealDigits[Tan[GoldenRatio], 10, 100][[1]] (* Amiram Eldar, Feb 07 2022 *)

Prog

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

Crossrefs

Cf. A001622, A094214, A104457, A098317, A002390, A139339, A139340, A139341, A139342, A139345, A139346, A139348.

Sequence in context: A232187 A076241 A316399 * A288620 A263324 A284949

Adjacent sequences: A139344 A139345 A139346 * A139348 A139349 A139350

Keyword

nonn,cons

Author

Mohammad K. Azarian, Apr 15 2008

Extensions

Offset corrected by Mohammad K. Azarian, Dec 13 2008

Sign added to definition by R. J. Mathar, Feb 05 2009

Status

approved