login
A344784
Decimal expansion of the sum of the reciprocals of the prime factors of Fermat numbers (A023394).
1
5, 9, 7, 6, 4, 0, 4, 7, 5, 8
OFFSET
0,1
COMMENTS
Golomb (1955) asked if this series is convergent. Křížek et al. (2002) proved its convergence.
The first 10 terms were given by Finch (2018).
REFERENCES
Steven R. Finch, Mathematical Constants II, Cambridge University Press, 2018, Section 1.37, p. 248.
FORMULA
Equals Sum_{k>=1} 1/A023394(k).
EXAMPLE
0.5976404758...
CROSSREFS
Sequence in context: A349161 A125650 A171540 * A220261 A365238 A195285
KEYWORD
nonn,cons,more
AUTHOR
Amiram Eldar, May 28 2021
STATUS
approved