OFFSET
0,1
REFERENCES
J. Sandor and B. Crstici, Handbook of Number Theory II, Springer, 2004, pp. 54-55, p. 182.
LINKS
Don Redmond, Infinite products and Fibonacci numbers, Fib. Quart., Vol. 32, No. 3 (1994), pp. 234-239.
FORMULA
Equals Product_{k>=1} (L(k)/(sqrt(5)*F(k)))^(phi(k)/k), where L(k) and F(k) are the Lucas and Fibonacci numbers, and phi(k) is the Euler totient function.
Equals exp(-A242671).
EXAMPLE
0.48499980129295802523175132230095248348065996564155...
MATHEMATICA
RealDigits[Exp[-GoldenRatio/Sqrt[5]], 10, 120][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Dec 01 2018
STATUS
approved