OFFSET
1,1
COMMENTS
The logarithmic mean of Pi and e lies between the arithmetic and geometric means of Pi and e.
LINKS
B. C. Carlson, The logarithmic mean, The American Mathematical Monthly, 79(6) 1972, pp. 615-618.
Wikipedia, Logarithmic mean.
FORMULA
Equals (Pi-e)/(log(Pi)-1).
EXAMPLE
2.9248335452376948992733592...
MATHEMATICA
RealDigits[(Pi - E)/(Log[Pi] - 1), 10, 100][[1]] (* Amiram Eldar, Mar 06 2021 *)
PROG
(PARI) (Pi-exp(1))/(log(Pi)-1)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Gleb Koloskov, Mar 05 2021
STATUS
approved