OFFSET
1,2
COMMENTS
Nyblom (2000) proved that this constant is transcendental.
LINKS
M. A. Nyblom, A theorem on transcendence of infinite series, The Rocky Mountain Journal of Mathematics, Vol. 30, No. 3 (2000), pp. 1111-1120; alternative link.
FORMULA
Equals Sum_{k>=1} 1/A101293(k).
EXAMPLE
1.38889853376456644140523703662326084973849454043352...
MATHEMATICA
RealDigits[Sum[1/LucasL[k!], {k, 1, 10}], 10, 120][[1]]
PROG
(PARI) suminf(k = 1, 1/(fibonacci(k!-1)+fibonacci(k!+1)))
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Mar 12 2024
STATUS
approved