OFFSET
1,1
COMMENTS
This constant is a transcendental number (Nyblom, 2004).
LINKS
M. A. Nyblom, On the Construction of a Family of Transcendental Valued Infinite Products, Fibonacci Quarterly, Vol. 42, No. 4 (2004), pp. 353-358.
FORMULA
Equals Product_{k>=0} (1 + 1/A144837(k)).
EXAMPLE
2.18183118733306202384236017055676106780243564695796...
MATHEMATICA
RealDigits[Product[1 + 1/LucasL[5^k], {k, 0, 10}], 10, 120][[1]]
PROG
(PARI) prodinf(k = 0, 1 + 1/(fibonacci(5^k-1) + fibonacci(5^k+1)))
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Mar 31 2024
STATUS
approved