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%I #17 Mar 08 2021 06:22:55
%S 2,9,2,4,8,3,3,5,4,5,2,3,7,6,9,4,8,9,9,2,7,3,3,5,9,2,2,7,6,6,1,3,5,9,
%T 4,8,2,7,8,0,3,3,8,5,3,7,6,0,2,7,4,6,8,2,2,5,4,8,2,5,9,4,8,4,9,2,8,3,
%U 2,2,9,4,5,0,4,0,1,5,8,1,6,5,8,8,5,0,3,6,9,3,5,7,8,9,5,7,6,2,9,3,9,7,4,5,0,4,0,4
%N Decimal expansion of logarithmic mean of Pi and e.
%C The logarithmic mean of Pi and e lies between the arithmetic and geometric means of Pi and e.
%H B. C. Carlson, <a href="https://www.jstor.org/stable/2317088">The logarithmic mean</a>, The American Mathematical Monthly, 79(6) 1972, pp. 615-618.
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Logarithmic_mean">Logarithmic mean</a>.
%F Equals (Pi-e)/(log(Pi)-1).
%e 2.9248335452376948992733592...
%t RealDigits[(Pi - E)/(Log[Pi] - 1), 10, 100][[1]] (* _Amiram Eldar_, Mar 06 2021 *)
%o (PARI) (Pi-exp(1))/(log(Pi)-1)
%Y Cf. A000796 (Pi), A001113 (e), A019645, A074916, A074948, A074950, A074957.
%K nonn,cons
%O 1,1
%A _Gleb Koloskov_, Mar 05 2021
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