OFFSET
0,1
COMMENTS
gamma(1/6)*gamma(1/3)/(3*sqrt(Pi)) = gamma(1/3)^3/(2^(1/3)*sqrt(3)*Pi).
LINKS
Harry J. Smith, Table of n, a(n) for n = 0..3999
EXAMPLE
2.804364210650908522350038158... = 2 + 1/(1 + 1/(4 + 1/(8 + 1/(1 + ...)))).
MATHEMATICA
ContinuedFraction[(Gamma[1/6]*Gamma[1/3])/(3*Sqrt[Pi]), 100] (* G. C. Greubel, Oct 05 2018 *)
PROG
(PARI) { allocatemem(932245000); default(realprecision, 4100); x=gamma(1/3)^3/(2^(1/3)*sqrt(3)*Pi); x=contfrac(x); for (n=1, 4000, write("b160323.txt", n-1, " ", x[n])); } \\ Harry J. Smith, Jun 20 2009
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); ContinuedFraction((Gamma(1/6)*Gamma(1/3))/(3*Sqrt(Pi(R)))); // G. C. Greubel, Oct 05 2018
CROSSREFS
KEYWORD
nonn,cofr
AUTHOR
Harry J. Smith, May 09 2009
EXTENSIONS
Offset changed by Andrew Howroyd, Aug 09 2024
STATUS
approved