A139348 Decimal expansion of negated cotangent of the golden ratio. That is, the decimal expansion of -cot((1+sqrt(5))/2).

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

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 cot(A001622).

From Amiram Eldar, Feb 07 2022: (Start)

Equals 1/A139347.

Equals A139346/A139345. (End)

Example

0.04727282866479448118935650960621633420056105722556...

Mathematica

Join[{0}, RealDigits[-Cot[GoldenRatio], 10, 120][[1]]] (* Harvey P. Dale, Sep 18 2013 *)

Prog

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

Crossrefs

Cf. A001622, A094214, A104457, A098317, A002390, A139339, A139340, A139341, A139342, A139345, A139346, A139347.

Sequence in context: A246433 A324273 A308883 * A021683 A248179 A362753

Adjacent sequences: A139345 A139346 A139347 * A139349 A139350 A139351

Keyword

nonn,cons

Author

Mohammad K. Azarian, Apr 15 2008

Extensions

Added sign in definition. Leading zero dropped by R. J. Mathar, Feb 05 2009

Status

approved