OFFSET
0,4
COMMENTS
Continued fraction of the constant in A320639.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..9999
MAPLE
Digits:=200: evalf((Catalan+sqrt(4+Catalan^2))/2, 1000):
numtheory[cfrac](%, 200, 'quotients') ;
MATHEMATICA
ContinuedFraction[(Catalan + Sqrt[4 + Catalan^2])/2, 84] (* Michael De Vlieger, Oct 23 2018 *)
PROG
(PARI) default(realprecision, 100); contfrac((Catalan+sqrt(4+Catalan^2))/2) \\ Michel Marcus, Oct 26 2018
(Magma) SetDefaultRealField(RealField(100)); R:=RealField(); ContinuedFraction((Catalan(R) + Sqrt(4 + Catalan(R)^2))/2); // G. C. Greubel, Oct 31 2018
CROSSREFS
KEYWORD
nonn,cofr
AUTHOR
Paolo P. Lava, Oct 18 2018
EXTENSIONS
Offset changed by Andrew Howroyd, Aug 10 2024
STATUS
approved