OFFSET
1,1
EXAMPLE
3.24746469181893769889709161989...
From Jon E. Schoenfield, Dec 12 2021: (Start)
The partial sum through the 1/(2^(3^(4^(5^(-1))))) term agrees with the infinite sum to more than 250 decimal digits.
.
k Sum_{j=2..k} 1/2^(...^(k^(-1))...) last term added
- ---------------------------------- ----------------------------------
2 2.0 2.0
3 2.79370052598409973737585281963... 0.79370052598409973737585281963...
4 3.19532691964931766504830314874... 0.40162639366521792767245032910...
5 3.24746469181893769889709161989... 0.05213777216962003384878847115...
6 3.24746469181893769889709161989... 3.361969601729727422691...*10^-253
7 3.24746469181893769889709161989... 1/10^(10^31089.314380144389689...)
(End)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Lukáš Backa, Dec 12 2021
STATUS
approved