OFFSET
1,1
COMMENTS
Constants from generalized Pi integrals: the case of n=20.
LINKS
Takayuki Tatekawa, Table of n, a(n) for n = 1..10001
FORMULA
Equals 2*Integral_{x=0..1} dx/sqrt(1-x^20).
Equals (2*sqrt(Pi)*Gamma(21/20))/Gamma(11/20). - Peter Luschny, Jun 17 2024
EXAMPLE
2.135344933248004228046475279683...
MAPLE
(2*sqrt(Pi)*GAMMA(21/20))/GAMMA(11/20): evalf(%, 102); # Peter Luschny, Jun 17 2024
MATHEMATICA
RealDigits[2*Sqrt[Pi]/20*Gamma[1/20]/Gamma[11/20], 10, 5001][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Takayuki Tatekawa, Jun 08 2024
STATUS
approved