OFFSET
0,1
COMMENTS
The transcendence of this constant was proved by 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.
EXAMPLE
0.59027838058250762481004953440302226140463948387293...
MATHEMATICA
RealDigits[Sum[1/(2^k * LucasL[k!]), {k, 1, 10}], 10, 120][[1]]
PROG
(PARI) suminf(k = 1, 1/(2^k * (fibonacci(k!-1)+fibonacci(k!+1))))
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Mar 19 2024
STATUS
approved