[go: up one dir, main page]

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