OFFSET
0,1
COMMENTS
Octic number of denominator 2 and minimal polynomial 256x^8 - 512x^6 + 320x^4 - 64x^2 + 1. - Charles R Greathouse IV, May 13 2019
FORMULA
Equals 2F1(9/16,7/16;1/2;3/4) / 2 . - R. J. Mathar, Oct 27 2008
EXAMPLE
Equals 0.9914448613738104111445575269285628712777382744...
MAPLE
evalf( sqrt(2*sqrt(2)+sqrt(3)+1)/2^(5/4)) ;
MATHEMATICA
RealDigits[ Sqrt[2 + Sqrt[2 + Sqrt[3]]]/2, 10, 105] // First (* Jean-François Alcover, Feb 20 2013 *)
RealDigits[Cos[Pi/24], 10, 120][[1]] (* Harvey P. Dale, Feb 11 2024 *)
PROG
(PARI) cos(Pi/24) \\ Charles R Greathouse IV, May 13 2019
CROSSREFS
KEYWORD
AUTHOR
R. J. Mathar, Sep 28 2008
STATUS
approved