OFFSET
0,1
COMMENTS
The transcendence of this constant was proved by Nyblom (2004).
LINKS
M. A. Nyblom, An extension of a result of SierpiĆski, Journal of Number Theory, Vol. 105, No. 1 (2004), pp. 49-59.
EXAMPLE
0.42361050830638126407883935970217415533672669926872...
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