A139349 Decimal expansion of negated secant of the golden ratio. That is, the decimal expansion of -sec((1+sqrt(5))/2).

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

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 sec(A001622).

Equals 1/A139346. - Amiram Eldar, Feb 07 2022

Example

21.17742400636614440872804040937130213307185355364174...

Mathematica

RealDigits[-Sec[GoldenRatio], 10, 120][[1]] (* Harvey P. Dale, Dec 08 2011 *)

Prog

(PARI) -1/cos((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, A139348.

Sequence in context: A015110 A128596 A176305 * A168347 A120475 A086738

Adjacent sequences: A139346 A139347 A139348 * A139350 A139351 A139352

Keyword

nonn,cons

Author

Mohammad K. Azarian, Apr 15 2008

Extensions

Offset corrected by Mohammad K. Azarian, Dec 13 2008

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

Status

approved