OFFSET
1,3
LINKS
Simon Plouffe, Numbers in the base e^Pi, 2025.
FORMULA
Empirical: Equals Sum_{k>=0} A029595(k) / exp(k*Pi).
EXAMPLE
1.0908432211066863739387055182592837673...
MATHEMATICA
First[RealDigits[(-32*Sqrt[2 + 2/Sqrt[5]]*Pi^(3/4))/Gamma[-1/4]^3, 10, 100]]
PROG
(PARI) Pi^(3/4) * 2^(1/5) * gamma(9/10) * gamma(7/10) * (2+2/5*5^(1/2)) * (1/4*5^(1/2)-1/4) * (1/4*5^(1/2)+1/4) / gamma(3/4)^3 / gamma(4/5)^2
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Simon Plouffe, Sep 15 2025
STATUS
approved
