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A342209 Decimal expansion of logarithmic mean of Pi and e. 0
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, 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, 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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The logarithmic mean of Pi and e lies between the arithmetic and geometric means of Pi and e.

LINKS

Table of n, a(n) for n=1..108.

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

Cf. A000796 (Pi), A001113 (e), A019645, A074916, A074948, A074950, A074957.

Sequence in context: A010597 A245253 A153460 * A248695 A221139 A217273

Adjacent sequences:  A342206 A342207 A342208 * A342210 A342211 A342212

KEYWORD

nonn,cons

AUTHOR

Gleb Koloskov, Mar 05 2021

STATUS

approved

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Last modified December 5 12:24 EST 2021. Contains 349557 sequences. (Running on oeis4.)