OFFSET
0,1
COMMENTS
This series converges quickly and a very good approximation of this constant is given by the first three terms, 2/2^2 + 2^2/2^2^2 + 2^2^2/2^2^2^2 = 3073/4096, since the next term 2^2^2^2/2^2^2^2^2 is about 1/10^19723.4853.
EXAMPLE
0.750244140625...
MATHEMATICA
RealDigits[Total[Most[(s = NestList[2^# &, 2, 4])]/Rest[s]], 10, 100][[1]] (* Amiram Eldar, Jul 23 2022 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Marco Ripà, Jul 23 2022
STATUS
approved