OFFSET
0,1
COMMENTS
The number has continued fraction [0, 2, 1, 2, 1, 2, 1, ...].
The iterated function z^2 - 1/2 gives a good rational approximation of this number times -1 after sixty steps. - Alonso del Arte, Apr 10 2016
FORMULA
Equals Product_{k>=1} (1 + (-1)^k * 2/(6*k-3)). - Amiram Eldar, Aug 10 2020
EXAMPLE
0.36602540378443864676372317...
MAPLE
Digits:=100; evalf((sqrt(3)-1)/2); # Wesley Ivan Hurt, Apr 18 2014
MATHEMATICA
RealDigits[(Sqrt[3] - 1)/2, 10, 100] [[1]] (* Wesley Ivan Hurt, Apr 18 2014 *)
PROG
(PARI) (sqrt(3)-1)/2 \\ Altug Alkan, Apr 11 2016
CROSSREFS
KEYWORD
AUTHOR
Geoffrey Caveney, Dec 03 2008
EXTENSIONS
a(98) corrected by Georg Fischer, Apr 03 2020
STATUS
approved