OFFSET
1,3
COMMENTS
This constant is a transcendental number (Nyblom, 2001).
LINKS
M. A. Nyblom, A Theorem on Transcendence of Infinite Series II, Journal of Number Theory, Vol. 91, No. 1 (2001), pp. 71-80.
FORMULA
Equals Sum_{k>=0} 1/A144837(k).
EXAMPLE
1.09091505177007767001865750241422820571517510231990...
MATHEMATICA
RealDigits[Sum[1/LucasL[5^k], {k, 0, 10}], 10, 120][[1]]
PROG
(PARI) suminf(k = 0, 1/(fibonacci(5^k-1) + fibonacci(5^k+1)))
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Mar 31 2024
STATUS
approved